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	<title>ChemWiki - User contributions [en]</title>
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	<updated>2026-04-07T08:05:18Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=785113</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=785113"/>
		<updated>2019-05-20T15:08:22Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Molecular orbitals */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The simulation confirms the increased electropositive character of the metal centre and the increasing IR carbonyl stretching frequency, corresponding to a decrease of backbonding and strengthening and shortening of the C-O bond across the row. However, the predicted M-C bond lengths do not show the expected trend, with the Mn complex having the shortest M-C bond.&lt;br /&gt;
&lt;br /&gt;
Generally, vibrational modes that have the same symmetry as quadratic functions (e.g. x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; etc., as well as their linear combinations) are Raman IR active. Therefore, the symmetrical carbonyl a&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt; and e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; stretching modes, which transform as (x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) and (2z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) respectively, could be investigated using this technique.&lt;br /&gt;
&lt;br /&gt;
==Molecular orbitals==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Molecular orbitals of hexacarbonyl complexes&lt;br /&gt;
|- &lt;br /&gt;
! a&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt;&lt;br /&gt;
| [[File:Vg3217_a1g.bmp|thumb|]]&lt;br /&gt;
|-&lt;br /&gt;
! e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt;&lt;br /&gt;
| [[File:Vg3217_eg.bmp|thumb|]]&lt;br /&gt;
|-&lt;br /&gt;
! t&amp;lt;sub&amp;gt;2g&amp;lt;/sub&amp;gt;&lt;br /&gt;
| [[File:Vg3217_t2g.bmp|thumb|]]&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
In the case of &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; acceptor ligands, such as CO, the favourable interaction between the metal t&amp;lt;sub&amp;gt;2g&amp;lt;/sub&amp;gt; orbitals and the ligand &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; frontier orbitals leads to an increase of the splitting parameter &amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;&amp;lt;sub&amp;gt;oct&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
This also gives rise to a corresponding set of t&amp;lt;sub&amp;gt;2g&amp;lt;/sub&amp;gt; orbitals (no. 56-58), which are expected to be higher in energy than the e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; orbitals of the metal complex.&lt;br /&gt;
&lt;br /&gt;
However, due to the loss of precision of Gaussian when estimating higher-energy unoccupied orbitals, it has placed the aforementioned unoccupied t&amp;lt;sub&amp;gt;2g&amp;lt;/sub&amp;gt; orbitals lower in energy than the e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; orbitals (no. 65-66), which would otherwise be characteristic of a &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt; donor ligand.&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=785078</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=785078"/>
		<updated>2019-05-20T14:58:57Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Molecular orbitals */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The simulation confirms the increased electropositive character of the metal centre and the increasing IR carbonyl stretching frequency, corresponding to a decrease of backbonding and strengthening and shortening of the C-O bond across the row. However, the predicted M-C bond lengths do not show the expected trend, with the Mn complex having the shortest M-C bond.&lt;br /&gt;
&lt;br /&gt;
Generally, vibrational modes that have the same symmetry as quadratic functions (e.g. x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; etc., as well as their linear combinations) are Raman IR active. Therefore, the symmetrical carbonyl a&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt; and e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; stretching modes, which transform as (x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) and (2z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) respectively, could be investigated using this technique.&lt;br /&gt;
&lt;br /&gt;
==Molecular orbitals==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Molecular orbitals of hexacarbonyl complexes&lt;br /&gt;
|- &lt;br /&gt;
! a&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt;&lt;br /&gt;
| [[File:Vg3217_a1g.bmp|thumb|]]&lt;br /&gt;
|-&lt;br /&gt;
! e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt;&lt;br /&gt;
| [[File:Vg3217_eg.bmp|thumb|]]&lt;br /&gt;
|-&lt;br /&gt;
! t&amp;lt;sub&amp;gt;2g&amp;lt;/sub&amp;gt;&lt;br /&gt;
| [[File:Vg3217_t2g.bmp|thumb|]]&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=785077</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=785077"/>
		<updated>2019-05-20T14:58:49Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Molecular orbitals */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The simulation confirms the increased electropositive character of the metal centre and the increasing IR carbonyl stretching frequency, corresponding to a decrease of backbonding and strengthening and shortening of the C-O bond across the row. However, the predicted M-C bond lengths do not show the expected trend, with the Mn complex having the shortest M-C bond.&lt;br /&gt;
&lt;br /&gt;
Generally, vibrational modes that have the same symmetry as quadratic functions (e.g. x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; etc., as well as their linear combinations) are Raman IR active. Therefore, the symmetrical carbonyl a&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt; and e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; stretching modes, which transform as (x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) and (2z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) respectively, could be investigated using this technique.&lt;br /&gt;
&lt;br /&gt;
==Molecular orbitals==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Molecular orbitals of hexacarbonyl complexes&lt;br /&gt;
|- &lt;br /&gt;
! a&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt;&lt;br /&gt;
| [[File:Vg3217_a2g.bmp|thumb|]]&lt;br /&gt;
|-&lt;br /&gt;
! e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt;&lt;br /&gt;
| [[File:Vg3217_eg.bmp|thumb|]]&lt;br /&gt;
|-&lt;br /&gt;
! t&amp;lt;sub&amp;gt;2g&amp;lt;/sub&amp;gt;&lt;br /&gt;
| [[File:Vg3217_t2g.bmp|thumb|]]&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=785064</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=785064"/>
		<updated>2019-05-20T14:56:09Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Molecular orbitals */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The simulation confirms the increased electropositive character of the metal centre and the increasing IR carbonyl stretching frequency, corresponding to a decrease of backbonding and strengthening and shortening of the C-O bond across the row. However, the predicted M-C bond lengths do not show the expected trend, with the Mn complex having the shortest M-C bond.&lt;br /&gt;
&lt;br /&gt;
Generally, vibrational modes that have the same symmetry as quadratic functions (e.g. x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; etc., as well as their linear combinations) are Raman IR active. Therefore, the symmetrical carbonyl a&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt; and e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; stretching modes, which transform as (x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) and (2z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) respectively, could be investigated using this technique.&lt;br /&gt;
&lt;br /&gt;
==Molecular orbitals==&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_t2g.bmp&amp;diff=785061</id>
		<title>File:Vg3217 t2g.bmp</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_t2g.bmp&amp;diff=785061"/>
		<updated>2019-05-20T14:56:01Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_eg.bmp&amp;diff=785057</id>
		<title>File:Vg3217 eg.bmp</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_eg.bmp&amp;diff=785057"/>
		<updated>2019-05-20T14:55:46Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_a1g.bmp&amp;diff=785051</id>
		<title>File:Vg3217 a1g.bmp</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_a1g.bmp&amp;diff=785051"/>
		<updated>2019-05-20T14:55:22Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784840</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784840"/>
		<updated>2019-05-20T13:19:44Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The simulation confirms the increased electropositive character of the metal centre and the increasing IR carbonyl stretching frequency, corresponding to a decrease of backbonding and strengthening and shortening of the C-O bond across the row. However, the predicted M-C bond lengths do not show the expected trend, with the Mn complex having the shortest M-C bond.&lt;br /&gt;
&lt;br /&gt;
Generally, vibrational modes that have the same symmetry as quadratic functions (e.g. x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; etc., as well as their linear combinations) are Raman IR active. Therefore, the symmetrical carbonyl a&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt; and e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; stretching modes, which transform as (x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) and (2z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) respectively, could be investigated using this technique.&lt;br /&gt;
&lt;br /&gt;
==Molecular orbitals==&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784832</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784832"/>
		<updated>2019-05-20T13:12:58Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Generally, vibrational modes that have the same symmetry as quadratic functions (e.g. x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; etc., as well as their linear combinations) are Raman IR active. Therefore, the symmetrical carbonyl a&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt; and e&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; stretching modes, which transform as (x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) and (2z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) respectively, could be investigated using this technique.&lt;br /&gt;
&lt;br /&gt;
==Molecular orbitals==&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784831</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784831"/>
		<updated>2019-05-20T13:12:40Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Generally, vibrational modes that have the same symmetry as quadratic functions (e.g. x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; etc., as well as their linear combinations) are Raman IR active. Therefore, the symmetrical carbonyl A&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt; and E&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; stretching modes, which transform as (x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) and (2z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) respectively, could be investigated using this technique.&lt;br /&gt;
&lt;br /&gt;
==Molecular orbitals==&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784829</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784829"/>
		<updated>2019-05-20T13:12:12Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Generally, vibrational modes that have the same symmetry as quadratic functions (e.g. x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; etc., as well as their linear combinations) are Raman IR active. Therefore, the symmetrical carbonyl A&amp;lt;sub&amp;gt;1g&amp;lt;/sub&amp;gt; and E&amp;lt;sub&amp;gt;g&amp;lt;/sub&amp;gt; stretching modes, which transform as (x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;+z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;) and (2z&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, x&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;-y&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;), could be investigated using this technique.&lt;br /&gt;
&lt;br /&gt;
==Molecular orbitals==&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784811</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784811"/>
		<updated>2019-05-20T12:50:34Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
==Molecular orbitals==&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784802</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784802"/>
		<updated>2019-05-20T12:39:33Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Part II */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Molecular orbitals==&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784800</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784800"/>
		<updated>2019-05-20T12:36:52Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
|- &lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784799</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784799"/>
		<updated>2019-05-20T12:36:14Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|- | Predicted bond lengths, IR stretching frequencies and charge distributions&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784798</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784798"/>
		<updated>2019-05-20T12:34:35Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it would otherwise stabilise) and a shortening of the C=O bond (which it would otherwise destabilise).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784795</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784795"/>
		<updated>2019-05-20T12:33:13Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, progressing across the row, the metal centre becomes more electropositive and the valence electrons are affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
It is therefore expected that backbonding with the ligands should decrease as the valence electrons of the metal centre become more tightly held, with the valence 3d orbitals contracting, resulting in poorer overlap with the ligand frontier orbitals.&lt;br /&gt;
&lt;br /&gt;
Since backbonding involves donation of electrons into the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt; orbital on CO, its decrease across the row could be observed as a lengthening of the M-C bond (which it stabilises) and a shortening of the C=O bond (which it stabilises).&lt;br /&gt;
&lt;br /&gt;
Experimentally, this could be confirmed by IR spectroscopy (increasing CO stretching frequency) and, additionally, X-ray diffraction, for a general determination of all bond lengths.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784787</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784787"/>
		<updated>2019-05-20T12:24:57Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;\pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, going across the row, the metal centre becomes more electropositive, due to the valence electrons being affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784786</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784786"/>
		<updated>2019-05-20T12:24:41Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;/pi&amp;lt;/math&amp;gt;&amp;lt;sup&amp;gt;*&amp;lt;/sup&amp;gt;-acceptor carbonyl ligands. Thus, going across the row, the metal centre becomes more electropositive, due to the valence electrons being affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784783</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784783"/>
		<updated>2019-05-20T12:23:37Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
The analysed compounds are isolelectronic and isostructural; therefore, the main differences should arise from the varying degree of backbonding between the metal centre and the &amp;lt;math&amp;gt;pi&amp;lt;/math&amp;gt;-acceptor carbonyl ligands. Thus, going across the row, the metal centre becomes more electropositive, due to the valence electrons being affected by an increasing Z&amp;lt;sub&amp;gt;eff&amp;lt;/sub&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.915 || 1.149 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.908 || 1.136 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.942 || 1.125 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784770</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=784770"/>
		<updated>2019-05-20T12:16:27Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* NI3 optimisation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.184 A&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782954</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782954"/>
		<updated>2019-05-17T11:55:05Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Fe(CO)6]2+ */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_FE_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782952</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782952"/>
		<updated>2019-05-17T11:54:37Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Fe(CO)6]2+ */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_fe_opt.PNG|thumb|none|Gaussview summary table of an optimised [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000034     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000015     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.521203D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -10.5131  -10.5130  -10.5130   -0.0009   -0.0004   -0.0002&lt;br /&gt;
 Low frequencies ---   82.0308   82.0308   82.0308&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Fe(CO)6]2+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_fe_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_FE_SYM_OPT_FREQ.LOG&amp;diff=782950</id>
		<title>File:Vg3217 FE SYM OPT FREQ.LOG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_FE_SYM_OPT_FREQ.LOG&amp;diff=782950"/>
		<updated>2019-05-17T11:54:28Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_fe_opt.PNG&amp;diff=782949</id>
		<title>File:Vg3217 fe opt.PNG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_fe_opt.PNG&amp;diff=782949"/>
		<updated>2019-05-17T11:54:14Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782943</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782943"/>
		<updated>2019-05-17T11:52:22Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Cr(CO)6] */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)6]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782939</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782939"/>
		<updated>2019-05-17T11:51:38Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Mn(CO)6]+ */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Mn(CO)6]+&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782937</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782937"/>
		<updated>2019-05-17T11:50:54Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Mn(CO)6]+ */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Mn: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_mn_opt.PNG|thumb|none|Gaussview summary table of an optimised [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000045     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000018     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000344     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000163     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-4.865686D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_MN_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---    0.0010    0.0013    0.0014    6.1527    6.1528    6.1528&lt;br /&gt;
 Low frequencies ---   76.3733   76.3733   76.3733&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_MN_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_MN_SYM_OPT_FREQ.LOG&amp;diff=782936</id>
		<title>File:Vg3217 MN SYM OPT FREQ.LOG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_MN_SYM_OPT_FREQ.LOG&amp;diff=782936"/>
		<updated>2019-05-17T11:50:35Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_mn_opt.PNG&amp;diff=782935</id>
		<title>File:Vg3217 mn opt.PNG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_mn_opt.PNG&amp;diff=782935"/>
		<updated>2019-05-17T11:50:25Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782930</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782930"/>
		<updated>2019-05-17T11:47:56Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Cr(CO)6] */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782929</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782929"/>
		<updated>2019-05-17T11:47:42Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Cr(CO)6] */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782926</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782926"/>
		<updated>2019-05-17T11:47:25Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Cr(CO)6] */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782925</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782925"/>
		<updated>2019-05-17T11:47:04Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Cr(CO)6] */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt; molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782924</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782924"/>
		<updated>2019-05-17T11:46:39Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Cr(CO)6] */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_CR_SYM_OPT_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_CR_SYM_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782922</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782922"/>
		<updated>2019-05-17T11:45:53Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Cr(CO)6] */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_cr_sym_opt_freq.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_cr_sym_opt_freq.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782920</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782920"/>
		<updated>2019-05-17T11:45:21Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* [Cr(CO)6] */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_cr_opt.PNG|thumb|none|Gaussview summary table of an optimised [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;] molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000155     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000063     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000705     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000378     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-2.394140D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_sym_opt_freq.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0011   -0.0010   -0.0009   11.7423   11.7423   11.7423&lt;br /&gt;
 Low frequencies ---   66.6546   66.6546   66.6546&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_sym_opt_freq.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_CR_SYM_OPT_FREQ.LOG&amp;diff=782916</id>
		<title>File:Vg3217 CR SYM OPT FREQ.LOG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_CR_SYM_OPT_FREQ.LOG&amp;diff=782916"/>
		<updated>2019-05-17T11:44:30Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_cr_opt.PNG&amp;diff=782914</id>
		<title>File:Vg3217 cr opt.PNG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_cr_opt.PNG&amp;diff=782914"/>
		<updated>2019-05-17T11:44:10Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782887</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782887"/>
		<updated>2019-05-17T11:36:59Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782886</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782886"/>
		<updated>2019-05-17T11:36:49Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency ( cm&amp;lt;sup&amp;gt;-1&amp;lt;sup&amp;gt; )&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782885</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782885"/>
		<updated>2019-05-17T11:36:24Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Part II */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR t&amp;lt;sub&amp;gt;1u&amp;lt;/sub&amp;gt; stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;sup&amp;gt;)&lt;br /&gt;
! Charge on M (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on C (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
! Charge on O (&amp;lt;i&amp;gt;e&amp;lt;/i&amp;gt;)&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
| 1.92 || 1.15 || 2086 || -2.450 || 0.827 || -0.419&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.91 || 1.13 || 2199 || -2.048 || 0.834 || -0.326&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
| 1.94 || 1.12 || 2297 || -1.503 || 0.815 || -0.231&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782839</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782839"/>
		<updated>2019-05-17T11:25:22Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Part II */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Cr: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* C, O: 6-31G (d,p)&lt;br /&gt;
* Fe: LanL2DZ&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;sup&amp;gt;)&lt;br /&gt;
! Charge on M&lt;br /&gt;
! Charge on C&lt;br /&gt;
! Charge on O&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782836</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782836"/>
		<updated>2019-05-17T11:24:22Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* Comparative analysis */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;sup&amp;gt;)&lt;br /&gt;
! Charge on M&lt;br /&gt;
! Charge on C&lt;br /&gt;
! Charge on O&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782835</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782835"/>
		<updated>2019-05-17T11:23:36Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part I=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation ==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
==NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation and N-B bond energy==&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
==NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation==&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;br /&gt;
&lt;br /&gt;
=Part II=&lt;br /&gt;
==[Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]==&lt;br /&gt;
==[Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
==[Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
== Comparative analysis ==&lt;br /&gt;
&lt;br /&gt;
{| class = &amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! M-C bond length (A)&lt;br /&gt;
! C-O bond length (A)&lt;br /&gt;
! C=O IR stretching frequency (cm&amp;lt;sup&amp;gt;-1&amp;lt;sup&amp;gt;)&lt;br /&gt;
! Charge on M&lt;br /&gt;
! Charge on C&lt;br /&gt;
! Charge on O&lt;br /&gt;
|-&lt;br /&gt;
! [Cr(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
! [Mn(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
! [Fe(CO)&amp;lt;sub&amp;gt;6&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;2+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782575</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=782575"/>
		<updated>2019-05-17T09:16:51Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* NI3 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;= BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation =&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
=NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
=NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Optimised N-I bond length: 2.18 x 10&amp;lt;sup&amp;gt;-10&amp;lt;/sup&amp;gt;m&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=780692</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=780692"/>
		<updated>2019-05-16T14:02:52Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* H3NBH3 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;= BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation =&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
=NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.225 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
=NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=780642</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=780642"/>
		<updated>2019-05-16T13:56:52Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* NI3 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;= BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation =&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
=NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22468891 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
=NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=780632</id>
		<title>Vg3217 inorg2ndyear</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Vg3217_inorg2ndyear&amp;diff=780632"/>
		<updated>2019-05-16T13:55:47Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: /* NI3 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;= BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; optimisation =&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_opt.PNG|thumb|none|Gaussview summary table of an optimised BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000011     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000007     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000043     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000028     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-6.942915D-10&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:BH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
Low frequencies ---  -14.6858  -14.6818  -11.0436    0.0010    0.0165    0.3415&lt;br /&gt;
Low frequencies --- 1162.9492 1213.1220 1213.1222&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised BH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;BH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
|-&lt;br /&gt;
|wavenumber (cm&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;) || Intensity (arbitrary units) || symmetry || IR active || type&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2716 &lt;br /&gt;
| 126 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| asymmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 2583 &lt;br /&gt;
| 0&lt;br /&gt;
| A1&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| no &lt;br /&gt;
| symmetric stretch&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1213 &lt;br /&gt;
| 14 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes - weak &lt;br /&gt;
| angle deformation&lt;br /&gt;
|- &lt;br /&gt;
| 1163&lt;br /&gt;
| 93 &lt;br /&gt;
| E&amp;lt;sup&amp;gt;&#039;&amp;lt;/sup&amp;gt; &lt;br /&gt;
| yes &lt;br /&gt;
| umbrella&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_spec.png|thumb|none|Predicted BH3 IR spectrum]]&lt;br /&gt;
&lt;br /&gt;
The symmetrical stretch does not lead to a change in dipole moment and so is not visibile in IR. The asymmetrical stretches and angle deformations are each degenerate, resulting in one peak for each mode.&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_bh3_mo.bmp|thumb|none|MO diagram of BH3]]&lt;br /&gt;
&lt;br /&gt;
The MOs obtained through LCAOs closely match the ones predicted by Gaussian. Therefore, MO theory can reliably provide useful information on relative energy levels and bonding character.&lt;br /&gt;
&lt;br /&gt;
=NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_nh3_opt.PNG|thumb|none|Gaussview summary table of an optimised NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000012     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000008     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-9.843795D-11&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_NH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0140   -0.0032   -0.0015    7.0783    8.0932    8.0937&lt;br /&gt;
 Low frequencies --- 1089.3840 1693.9368 1693.9368&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_NH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis set: 6-31G (d,p)&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_h3nbh3_opt.PNG|thumb|none|Gaussview summary table of an optimised H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000122     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000058     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000531     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000296     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-1.655945D-07&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:vg3217_H3NBH3_631GDP_FREQ.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0251   -0.0030    0.0011   17.1236   17.1258   37.1326&lt;br /&gt;
 Low frequencies ---  265.7816  632.2034  639.3483&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NH3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;vg3217_H3NBH3_631GDP_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
1 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;= 2625.50 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
5 kJ mol &amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = 0.002 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.615 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.558 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22468891 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta&amp;lt;/math&amp;gt;E = E(H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;NBH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) - [ E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) + E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) ] = -0.052 E&amp;lt;sub&amp;gt;h&amp;lt;/sub&amp;gt; = -140 kJ/mol&lt;br /&gt;
&lt;br /&gt;
The dative N-B bond has less than half the energy of the covalent N-B bond (389 kJ/mol), making it very weak in comparison.&lt;br /&gt;
&lt;br /&gt;
=NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;=&lt;br /&gt;
Method: B3YLP&lt;br /&gt;
&lt;br /&gt;
Basis sets:&lt;br /&gt;
* N: 6-31G (d,p)&lt;br /&gt;
* I: LanL2DZ&lt;br /&gt;
&lt;br /&gt;
[[File:Vg3217_ni3_opt.PNG|thumb|none|Gaussview summary table of an optimised NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; molecule]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000065     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000038     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000952     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000415     0.001200     YES&lt;br /&gt;
 Predicted change in Energy=-5.172366D-08&lt;br /&gt;
 Optimization completed.&lt;br /&gt;
    -- Stationary point found.&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG|Frequency calculation log file]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.1614   -0.0983   -0.0031    0.5823    0.7024    1.5522&lt;br /&gt;
 Low frequencies ---  101.3248  101.3255  148.3662&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimised NI3 molecule&amp;lt;/title&amp;gt;&lt;br /&gt;
  &amp;lt;color&amp;gt;black&amp;lt;/color&amp;gt;&lt;br /&gt;
  &amp;lt;size&amp;gt;200&amp;lt;/size&amp;gt;&lt;br /&gt;
  &amp;lt;uploadedFileContents&amp;gt;Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
  &amp;lt;script&amp;gt;frame x.y&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;diff=780620</id>
		<title>File:Vg3217 NI3 GEN SYM OPT FREQ LOCAL.LOG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Vg3217_NI3_GEN_SYM_OPT_FREQ_LOCAL.LOG&amp;diff=780620"/>
		<updated>2019-05-16T13:53:26Z</updated>

		<summary type="html">&lt;p&gt;Vg3217: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Vg3217</name></author>
	</entry>
</feed>