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	<updated>2026-04-20T01:07:11Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=785281</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=785281"/>
		<updated>2019-05-20T16:31:39Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part 1=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous, symmetric stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
[[File:Ssn_modiagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The above diagram was adapted from this source&amp;lt;ref name=&amp;quot;modiagram&amp;quot; /&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Phase and general shape of the real MOs is well predicted by LCAO MOs. In this molecule, the MO diagram drawn up using MO theory correctly predicted the energy levels of the real MOs. However, in a more complicated (i.e. larger) molecule, it may not be able to do so accurately as the splitting energies may not be as well known or easily accurately represented in a simple MO diagram.&lt;br /&gt;
&lt;br /&gt;
In this example, there is slight discrepancy in the general shape of the 2e&#039; antibonding MO to the left of the diagram, involving the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; orbital of B. In the real MO, the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; orbital is slightly bent downwards, away from the contributing 1sAO of H atoms. Despite the slight distortion of electron cloud phase that was not predicted by the LCAO MO, the general changes in phase matches that of the ones observed in the real MO. The bending of the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; AO of B away from the contribution H 1sAO orbitals can be seen as a change in the resulting MO so as to achieve stabilization.&lt;br /&gt;
&lt;br /&gt;
Another difference that can be brought up is the difference in the contribution of each AO/FO towards the final MO. In the case of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;, a notable example would be the 3a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; MO, where the LCAO MO predicted a much smaller contribution from the contributing  H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; FO with respect to that of the contributing B 2sAO. However, phase and general shape of the real MO is still well predicted by the LCAO MO. This just reiterates the usefulness of the LCAO model to qualitively solve for real MOs rather than quantitatively.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
MO theory is very useful in allowing the fast and largely accurate prediction of MOs that exist in molecules. It allows the qualitative determination of the shape and phase that exists in MOs without dealing with large chunks of data required to solve the Schrodinger equation. To a smaller extent, it can help to predict the relative energy levels of each of the resulting MOs. It is useful when applied on smaller molecules, where MO diagrams can be drawn with relative ease. However, is less useful when large molecules are involved, where there are a lot of different combinations of FOs to be considered, and various splitting energies involved. Additionally, it is also not useful when the actual contributions of each AO/FO is to be determined. &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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.5 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.5 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a B-N bond&amp;lt;ref name=&amp;quot;bonde&amp;quot; /&amp;gt; = 377.9 ± 8.7 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. &lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=Part 2: Ionic Liquids =&lt;br /&gt;
&lt;br /&gt;
== [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000073     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000017     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000294     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000124     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -0.0004    0.0003    0.0005   35.3122   35.3122   35.3122&lt;br /&gt;
 Low frequencies ---  217.1861  316.3283  316.3283&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_pch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000121     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000031     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000733     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000300     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_PCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---    0.0011    0.0013    0.0025   51.2382   51.2382   51.2382&lt;br /&gt;
 Low frequencies ---  186.6180  211.4132  211.4132&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_PCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Charge Distribution of Molecules==&lt;br /&gt;
[[File:Ssn_nch34_charges.png|250px|thumb|Charge distribution for [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
[[File:Ssn_pch34_charges.png|250px|thumb|Charge distribution for [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
&lt;br /&gt;
===Table of Charges (NBO Type)===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Element !! Charge in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;!! Charge in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|- &lt;br /&gt;
| N || -0.295 || -&lt;br /&gt;
|-&lt;br /&gt;
| P || - || +1.666 &lt;br /&gt;
|-&lt;br /&gt;
| C || -0.483 || -1.060 &lt;br /&gt;
|-&lt;br /&gt;
| H || +0.269 || +0.298&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===Comparison of Charge Distribution===&lt;br /&gt;
The charge distribution within each molecule will first be looked at here. A table of electronegativities&amp;lt;ref name=&amp;quot;electronegativities&amp;quot; /&amp;gt; will be referred to in the below discussion.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, N and C atoms have negative charge of -0.295 and -0.483 respectively, while H atoms have a positive charge of +0.269. &lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained by the difference in electronegativities. C has a higher electronegativity of 2.50 as opposed to H with a value of 2.10. As such, the bond between them would be polarized, with electron density pulled more towards the more electronegative C to result in the charge distribution observed. &lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the N atom to have a positive formal charge of +1 as a N atom has 5 valenece electrons, and there are 4 electrons surrounding the N atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. As such, the N atom in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is less stable. Since N is highly electronegative (electronegativity value = 3.07), which is higher than that of it&#039;s directly bonded C atoms (electronegativity value = 2.50), and also electron deficient, it will be able to exert a strong pull to polarize the N-C bonds and pull the electron density towards itself to mitigate the electron deficiency situation to become more stable.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, C atoms have negative charge of -1.060, while P and H atoms have a positive charge of +1.666 and +0.298 respectively.&lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained as above, due to the difference in electronegativities (2.50 and 2.10 respectively), such that electrons will be pulled towards the more electronegative C atoms.&lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the P atom to have a positive formal charge of +1 as a P atom has 5 valenece electrons, and there are 4 electrons surrounding the P atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. While the P is now electron deficient and destabilized, it has an electronegative value of 2.06 which is less than that of C&#039;s 2.10, and hence cannot stabilize itself in the manner that a N central atom can. In fact, since C is slightly more electronegative, the electron density is pulled towards C rather than P, and so the negative charge on C in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is further intensified, in comparison to that of [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===Discussion on Formal Charges===&lt;br /&gt;
&#039;&#039;&#039;What does the &amp;quot;formal&amp;quot; positive charge on the N represent in the traditional picture?&#039;&#039;&#039;&lt;br /&gt;
The &amp;quot;formal&amp;quot; positive charge on the N is obtained by considering the Lewis structure as done above, and can be calculated with the formula:&lt;br /&gt;
&lt;br /&gt;
Formal Charge = no. of valence electrons - no. of non-bonding electrons - [no. of bonding electrons/2]&lt;br /&gt;
&lt;br /&gt;
This calculation assumes that all the atoms are equally electronegative, such that electrons are shared equally in bonds. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;On what atoms is the positive charge actually located for this cation?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;, the positive charge is actually located on the H atoms instead. This is explained above, and in essence, is due to the fact that in reality, atoms have different electronegativities, leading to electrons not being equally shared in bonds.&lt;br /&gt;
&lt;br /&gt;
==A few MOs of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; ==&lt;br /&gt;
===Table of visualized MOs and LCAO MOs ===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Legend&lt;br /&gt;
|- &lt;br /&gt;
| [[File:Ssn_MOlegend.png|600px]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! MO Number !! Visualized MO and LCAO MO !! Rationalizing proposed MO&lt;br /&gt;
|- &lt;br /&gt;
| 9 || [[File:Ssn_MO9.png|700px]] || ○ To determine the N atom AO contributing to this MO, phase about the N atom was considered. Since there are 2 phases about the central N atom, it can be deduced that a 2pAO is involved. &lt;br /&gt;
○ For the contributing ligand (-CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) orbitals, it was observed that all 4 ligands are the same in that they all only consist of 1 phase throughout. This indicates that the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand, where all contributing AOs of atoms in the ligand are sAOs in the same phase, is the contributing FO in this MO9 of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
○ It is know that through-bond interactions are stronger than through-space interactions due to the proximity of through-bond interactions. In this case, the through-space interaction can be taken to &amp;quot;cancel out&amp;quot; (2 bonding and 2 anti-bonding of similar distance apart), leading to a MO showing largely bonding character.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| 10 || [[File:Ssn_MO10.png|700px]] || ○ Single phase about the N atom, indicating a N 2sAO&lt;br /&gt;
○ As before, in MO9, ligands have a single phase throughout, hence the contributing FO is likely the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand -CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
○ As shown in the MO obtained using Gaussian, despite there being through-space bonding interaction expected theoretically, it is not actually observed in reality, showing that through-space interactions are indeed weaker than through-bond interactions. There are through-bond antibonding interactions and through-space bonding interactions here. Since through-bond interactions are much stronger, this MO has a largely anti-bonding character.&lt;br /&gt;
|-&lt;br /&gt;
| 19 || [[File:Ssn_MO19.png|700px]] || ○ 2 phases about the central N atom, indicating a 2pAO involved. &lt;br /&gt;
○ 2 phases in ligand FOs, with a single node, suggesting that the contributing FO is a 1e bonding MO of the ligand. Specifically, the one as shown in the diagram above, with 2 H 1sAO in phase, and another H 1sAO in the opposite phase&lt;br /&gt;
&lt;br /&gt;
○ There is through-bond and through-space bonding interaction here, and only through-space antibonding interaction, hence the MO has a largely bonding character.&lt;br /&gt;
|} &lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
&amp;lt;references&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;bonde&amp;quot;&amp;gt;Y.-R. Luo, in CRC Handbook of Chemistry and Physics, CRC Press, 91st edn., 2010, pp. 9–66.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;modiagram&amp;quot;&amp;gt;P. Hunt, Molecular Orbitals in Inorganic Chemistry Lecture 4, Imperial College London, 2018.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;electronegativities&amp;quot;&amp;gt;E. J. Little and M. M. Jones, Journal of Chemical Education, 1960, 37, 231.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;/references&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=785257</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=785257"/>
		<updated>2019-05-20T16:19:27Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: /* Bond strength of NH3BH3 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part 1=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous, symmetric stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
[[File:Ssn_modiagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The above diagram was adapted from this source&amp;lt;ref name=&amp;quot;modiagram&amp;quot; /&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Phase and general shape of the real MOs is well predicted by LCAO MOs. In this molecule, the MO diagram drawn up using MO theory correctly predicted the energy levels of the real MOs. However, in a more complicated (i.e. larger) molecule, it may not be able to do so accurately as the splitting energies may not be as well known or easily accurately represented in a simple MO diagram.&lt;br /&gt;
&lt;br /&gt;
In this example, there is slight discrepancy in the general shape of the 2e&#039; antibonding MO to the left of the diagram, involving the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; orbital of B. In the real MO, the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; orbital is slightly bent downwards, away from the contributing 1sAO of H atoms. Despite the slight distortion of electron cloud phase that was not predicted by the LCAO MO, the general changes in phase matches that of the ones observed in the real MO. The bending of the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; AO of B away from the contribution H 1sAO orbitals can be seen as a change in the resulting MO so as to achieve stabilization.&lt;br /&gt;
&lt;br /&gt;
Another difference that can be brought up is the difference in the contribution of each AO/FO towards the final MO. In the case of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;, a notable example would be the 3a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; MO, where the LCAO MO predicted a much smaller contribution from the contributing  H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; FO with respect to that of the contributing B 2sAO. However, phase and general shape of the real MO is still well predicted by the LCAO MO. This just reiterates the usefulness of the LCAO model to qualitively solve for real MOs rather than quantitatively.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
MO theory is very useful in allowing the fast and largely accurate prediction of MOs that exist in molecules. It allows the qualitative determination of the shape and phase that exists in MOs without dealing with large chunks of data required to solve the Schrodinger equation. To a smaller extent, it can help to predict the relative energy levels of each of the resulting MOs. It is useful when applied on smaller molecules, where MO diagrams can be drawn with relative ease. However, is less useful when large molecules are involved, where there are a lot of different combinations of FOs to be considered, and various splitting energies involved. Additionally, it is also not useful when the actual contributions of each AO/FO is to be determined. &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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a B-N bond = 377.9 ± 8.7 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=Part 2: Ionic Liquids =&lt;br /&gt;
&lt;br /&gt;
== [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000073     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000017     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000294     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000124     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -0.0004    0.0003    0.0005   35.3122   35.3122   35.3122&lt;br /&gt;
 Low frequencies ---  217.1861  316.3283  316.3283&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_pch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000121     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000031     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000733     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000300     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_PCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---    0.0011    0.0013    0.0025   51.2382   51.2382   51.2382&lt;br /&gt;
 Low frequencies ---  186.6180  211.4132  211.4132&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_PCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Charge Distribution of Molecules==&lt;br /&gt;
[[File:Ssn_nch34_charges.png|250px|thumb|Charge distribution for [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
[[File:Ssn_pch34_charges.png|250px|thumb|Charge distribution for [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
&lt;br /&gt;
===Table of Charges (NBO Type)===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Element !! Charge in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;!! Charge in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|- &lt;br /&gt;
| N || -0.295 || -&lt;br /&gt;
|-&lt;br /&gt;
| P || - || +1.666 &lt;br /&gt;
|-&lt;br /&gt;
| C || -0.483 || -1.060 &lt;br /&gt;
|-&lt;br /&gt;
| H || +0.269 || +0.298&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===Comparison of Charge Distribution===&lt;br /&gt;
The charge distribution within each molecule will first be looked at here. A table of electronegativities&amp;lt;ref name=&amp;quot;electronegativities&amp;quot; /&amp;gt; will be referred to in the below discussion.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, N and C atoms have negative charge of -0.295 and -0.483 respectively, while H atoms have a positive charge of +0.269. &lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained by the difference in electronegativities. C has a higher electronegativity of 2.50 as opposed to H with a value of 2.10. As such, the bond between them would be polarized, with electron density pulled more towards the more electronegative C to result in the charge distribution observed. &lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the N atom to have a positive formal charge of +1 as a N atom has 5 valenece electrons, and there are 4 electrons surrounding the N atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. As such, the N atom in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is less stable. Since N is highly electronegative (electronegativity value = 3.07), which is higher than that of it&#039;s directly bonded C atoms (electronegativity value = 2.50), and also electron deficient, it will be able to exert a strong pull to polarize the N-C bonds and pull the electron density towards itself to mitigate the electron deficiency situation to become more stable.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, C atoms have negative charge of -1.060, while P and H atoms have a positive charge of +1.666 and +0.298 respectively.&lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained as above, due to the difference in electronegativities (2.50 and 2.10 respectively), such that electrons will be pulled towards the more electronegative C atoms.&lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the P atom to have a positive formal charge of +1 as a P atom has 5 valenece electrons, and there are 4 electrons surrounding the P atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. While the P is now electron deficient and destabilized, it has an electronegative value of 2.06 which is less than that of C&#039;s 2.10, and hence cannot stabilize itself in the manner that a N central atom can. In fact, since C is slightly more electronegative, the electron density is pulled towards C rather than P, and so the negative charge on C in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is further intensified, in comparison to that of [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===Discussion on Formal Charges===&lt;br /&gt;
&#039;&#039;&#039;What does the &amp;quot;formal&amp;quot; positive charge on the N represent in the traditional picture?&#039;&#039;&#039;&lt;br /&gt;
The &amp;quot;formal&amp;quot; positive charge on the N is obtained by considering the Lewis structure as done above, and can be calculated with the formula:&lt;br /&gt;
&lt;br /&gt;
Formal Charge = no. of valence electrons - no. of non-bonding electrons - [no. of bonding electrons/2]&lt;br /&gt;
&lt;br /&gt;
This calculation assumes that all the atoms are equally electronegative, such that electrons are shared equally in bonds. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;On what atoms is the positive charge actually located for this cation?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;, the positive charge is actually located on the H atoms instead. This is explained above, and in essence, is due to the fact that in reality, atoms have different electronegativities, leading to electrons not being equally shared in bonds.&lt;br /&gt;
&lt;br /&gt;
==A few MOs of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; ==&lt;br /&gt;
===Table of visualized MOs and LCAO MOs ===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Legend&lt;br /&gt;
|- &lt;br /&gt;
| [[File:Ssn_MOlegend.png|600px]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! MO Number !! Visualized MO and LCAO MO !! Rationalizing proposed MO&lt;br /&gt;
|- &lt;br /&gt;
| 9 || [[File:Ssn_MO9.png|700px]] || ○ To determine the N atom AO contributing to this MO, phase about the N atom was considered. Since there are 2 phases about the central N atom, it can be deduced that a 2pAO is involved. &lt;br /&gt;
○ For the contributing ligand (-CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) orbitals, it was observed that all 4 ligands are the same in that they all only consist of 1 phase throughout. This indicates that the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand, where all contributing AOs of atoms in the ligand are sAOs in the same phase, is the contributing FO in this MO9 of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
○ It is know that through-bond interactions are stronger than through-space interactions due to the proximity of through-bond interactions. In this case, the through-space interaction can be taken to &amp;quot;cancel out&amp;quot; (2 bonding and 2 anti-bonding of similar distance apart), leading to a MO showing largely bonding character.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| 10 || [[File:Ssn_MO10.png|700px]] || ○ Single phase about the N atom, indicating a N 2sAO&lt;br /&gt;
○ As before, in MO9, ligands have a single phase throughout, hence the contributing FO is likely the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand -CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
○ As shown in the MO obtained using Gaussian, despite there being through-space bonding interaction expected theoretically, it is not actually observed in reality, showing that through-space interactions are indeed weaker than through-bond interactions. There are through-bond antibonding interactions and through-space bonding interactions here. Since through-bond interactions are much stronger, this MO has a largely anti-bonding character.&lt;br /&gt;
|-&lt;br /&gt;
| 19 || [[File:Ssn_MO19.png|700px]] || ○ 2 phases about the central N atom, indicating a 2pAO involved. &lt;br /&gt;
○ 2 phases in ligand FOs, with a single node, suggesting that the contributing FO is a 1e bonding MO of the ligand. Specifically, the one as shown in the diagram above, with 2 H 1sAO in phase, and another H 1sAO in the opposite phase&lt;br /&gt;
&lt;br /&gt;
○ There is through-bond and through-space bonding interaction here, and only through-space antibonding interaction, hence the MO has a largely bonding character.&lt;br /&gt;
|} &lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
&amp;lt;references&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;modiagram&amp;quot;&amp;gt;P. Hunt, Molecular Orbitals in Inorganic Chemistry Lecture 4, Imperial College London, 2018.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;electronegativities&amp;quot;&amp;gt;E. J. Little and M. M. Jones, Journal of Chemical Education, 1960, 37, 231.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;/references&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=785253</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=785253"/>
		<updated>2019-05-20T16:15:31Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: /* Calculation of Association Energy */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part 1=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous, symmetric stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
[[File:Ssn_modiagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The above diagram was adapted from this source&amp;lt;ref name=&amp;quot;modiagram&amp;quot; /&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Phase and general shape of the real MOs is well predicted by LCAO MOs. In this molecule, the MO diagram drawn up using MO theory correctly predicted the energy levels of the real MOs. However, in a more complicated (i.e. larger) molecule, it may not be able to do so accurately as the splitting energies may not be as well known or easily accurately represented in a simple MO diagram.&lt;br /&gt;
&lt;br /&gt;
In this example, there is slight discrepancy in the general shape of the 2e&#039; antibonding MO to the left of the diagram, involving the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; orbital of B. In the real MO, the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; orbital is slightly bent downwards, away from the contributing 1sAO of H atoms. Despite the slight distortion of electron cloud phase that was not predicted by the LCAO MO, the general changes in phase matches that of the ones observed in the real MO. The bending of the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; AO of B away from the contribution H 1sAO orbitals can be seen as a change in the resulting MO so as to achieve stabilization.&lt;br /&gt;
&lt;br /&gt;
Another difference that can be brought up is the difference in the contribution of each AO/FO towards the final MO. In the case of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;, a notable example would be the 3a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; MO, where the LCAO MO predicted a much smaller contribution from the contributing  H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; FO with respect to that of the contributing B 2sAO. However, phase and general shape of the real MO is still well predicted by the LCAO MO. This just reiterates the usefulness of the LCAO model to qualitively solve for real MOs rather than quantitatively.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
MO theory is very useful in allowing the fast and largely accurate prediction of MOs that exist in molecules. It allows the qualitative determination of the shape and phase that exists in MOs without dealing with large chunks of data required to solve the Schrodinger equation. To a smaller extent, it can help to predict the relative energy levels of each of the resulting MOs. It is useful when applied on smaller molecules, where MO diagrams can be drawn with relative ease. However, is less useful when large molecules are involved, where there are a lot of different combinations of FOs to be considered, and various splitting energies involved. Additionally, it is also not useful when the actual contributions of each AO/FO is to be determined. &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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=Part 2: Ionic Liquids =&lt;br /&gt;
&lt;br /&gt;
== [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000073     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000017     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000294     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000124     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -0.0004    0.0003    0.0005   35.3122   35.3122   35.3122&lt;br /&gt;
 Low frequencies ---  217.1861  316.3283  316.3283&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_pch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000121     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000031     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000733     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000300     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_PCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---    0.0011    0.0013    0.0025   51.2382   51.2382   51.2382&lt;br /&gt;
 Low frequencies ---  186.6180  211.4132  211.4132&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_PCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Charge Distribution of Molecules==&lt;br /&gt;
[[File:Ssn_nch34_charges.png|250px|thumb|Charge distribution for [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
[[File:Ssn_pch34_charges.png|250px|thumb|Charge distribution for [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
&lt;br /&gt;
===Table of Charges (NBO Type)===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Element !! Charge in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;!! Charge in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|- &lt;br /&gt;
| N || -0.295 || -&lt;br /&gt;
|-&lt;br /&gt;
| P || - || +1.666 &lt;br /&gt;
|-&lt;br /&gt;
| C || -0.483 || -1.060 &lt;br /&gt;
|-&lt;br /&gt;
| H || +0.269 || +0.298&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===Comparison of Charge Distribution===&lt;br /&gt;
The charge distribution within each molecule will first be looked at here. A table of electronegativities&amp;lt;ref name=&amp;quot;electronegativities&amp;quot; /&amp;gt; will be referred to in the below discussion.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, N and C atoms have negative charge of -0.295 and -0.483 respectively, while H atoms have a positive charge of +0.269. &lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained by the difference in electronegativities. C has a higher electronegativity of 2.50 as opposed to H with a value of 2.10. As such, the bond between them would be polarized, with electron density pulled more towards the more electronegative C to result in the charge distribution observed. &lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the N atom to have a positive formal charge of +1 as a N atom has 5 valenece electrons, and there are 4 electrons surrounding the N atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. As such, the N atom in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is less stable. Since N is highly electronegative (electronegativity value = 3.07), which is higher than that of it&#039;s directly bonded C atoms (electronegativity value = 2.50), and also electron deficient, it will be able to exert a strong pull to polarize the N-C bonds and pull the electron density towards itself to mitigate the electron deficiency situation to become more stable.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, C atoms have negative charge of -1.060, while P and H atoms have a positive charge of +1.666 and +0.298 respectively.&lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained as above, due to the difference in electronegativities (2.50 and 2.10 respectively), such that electrons will be pulled towards the more electronegative C atoms.&lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the P atom to have a positive formal charge of +1 as a P atom has 5 valenece electrons, and there are 4 electrons surrounding the P atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. While the P is now electron deficient and destabilized, it has an electronegative value of 2.06 which is less than that of C&#039;s 2.10, and hence cannot stabilize itself in the manner that a N central atom can. In fact, since C is slightly more electronegative, the electron density is pulled towards C rather than P, and so the negative charge on C in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is further intensified, in comparison to that of [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===Discussion on Formal Charges===&lt;br /&gt;
&#039;&#039;&#039;What does the &amp;quot;formal&amp;quot; positive charge on the N represent in the traditional picture?&#039;&#039;&#039;&lt;br /&gt;
The &amp;quot;formal&amp;quot; positive charge on the N is obtained by considering the Lewis structure as done above, and can be calculated with the formula:&lt;br /&gt;
&lt;br /&gt;
Formal Charge = no. of valence electrons - no. of non-bonding electrons - [no. of bonding electrons/2]&lt;br /&gt;
&lt;br /&gt;
This calculation assumes that all the atoms are equally electronegative, such that electrons are shared equally in bonds. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;On what atoms is the positive charge actually located for this cation?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;, the positive charge is actually located on the H atoms instead. This is explained above, and in essence, is due to the fact that in reality, atoms have different electronegativities, leading to electrons not being equally shared in bonds.&lt;br /&gt;
&lt;br /&gt;
==A few MOs of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; ==&lt;br /&gt;
===Table of visualized MOs and LCAO MOs ===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Legend&lt;br /&gt;
|- &lt;br /&gt;
| [[File:Ssn_MOlegend.png|600px]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! MO Number !! Visualized MO and LCAO MO !! Rationalizing proposed MO&lt;br /&gt;
|- &lt;br /&gt;
| 9 || [[File:Ssn_MO9.png|700px]] || ○ To determine the N atom AO contributing to this MO, phase about the N atom was considered. Since there are 2 phases about the central N atom, it can be deduced that a 2pAO is involved. &lt;br /&gt;
○ For the contributing ligand (-CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) orbitals, it was observed that all 4 ligands are the same in that they all only consist of 1 phase throughout. This indicates that the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand, where all contributing AOs of atoms in the ligand are sAOs in the same phase, is the contributing FO in this MO9 of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
○ It is know that through-bond interactions are stronger than through-space interactions due to the proximity of through-bond interactions. In this case, the through-space interaction can be taken to &amp;quot;cancel out&amp;quot; (2 bonding and 2 anti-bonding of similar distance apart), leading to a MO showing largely bonding character.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| 10 || [[File:Ssn_MO10.png|700px]] || ○ Single phase about the N atom, indicating a N 2sAO&lt;br /&gt;
○ As before, in MO9, ligands have a single phase throughout, hence the contributing FO is likely the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand -CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
○ As shown in the MO obtained using Gaussian, despite there being through-space bonding interaction expected theoretically, it is not actually observed in reality, showing that through-space interactions are indeed weaker than through-bond interactions. There are through-bond antibonding interactions and through-space bonding interactions here. Since through-bond interactions are much stronger, this MO has a largely anti-bonding character.&lt;br /&gt;
|-&lt;br /&gt;
| 19 || [[File:Ssn_MO19.png|700px]] || ○ 2 phases about the central N atom, indicating a 2pAO involved. &lt;br /&gt;
○ 2 phases in ligand FOs, with a single node, suggesting that the contributing FO is a 1e bonding MO of the ligand. Specifically, the one as shown in the diagram above, with 2 H 1sAO in phase, and another H 1sAO in the opposite phase&lt;br /&gt;
&lt;br /&gt;
○ There is through-bond and through-space bonding interaction here, and only through-space antibonding interaction, hence the MO has a largely bonding character.&lt;br /&gt;
|} &lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
&amp;lt;references&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;modiagram&amp;quot;&amp;gt;P. Hunt, Molecular Orbitals in Inorganic Chemistry Lecture 4, Imperial College London, 2018.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;electronegativities&amp;quot;&amp;gt;E. J. Little and M. M. Jones, Journal of Chemical Education, 1960, 37, 231.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;/references&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=785251</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=785251"/>
		<updated>2019-05-20T16:14:04Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: /* IR Spectrum */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part 1=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous, symmetric stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
[[File:Ssn_modiagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The above diagram was adapted from this source&amp;lt;ref name=&amp;quot;modiagram&amp;quot; /&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Phase and general shape of the real MOs is well predicted by LCAO MOs. In this molecule, the MO diagram drawn up using MO theory correctly predicted the energy levels of the real MOs. However, in a more complicated (i.e. larger) molecule, it may not be able to do so accurately as the splitting energies may not be as well known or easily accurately represented in a simple MO diagram.&lt;br /&gt;
&lt;br /&gt;
In this example, there is slight discrepancy in the general shape of the 2e&#039; antibonding MO to the left of the diagram, involving the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; orbital of B. In the real MO, the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; orbital is slightly bent downwards, away from the contributing 1sAO of H atoms. Despite the slight distortion of electron cloud phase that was not predicted by the LCAO MO, the general changes in phase matches that of the ones observed in the real MO. The bending of the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; AO of B away from the contribution H 1sAO orbitals can be seen as a change in the resulting MO so as to achieve stabilization.&lt;br /&gt;
&lt;br /&gt;
Another difference that can be brought up is the difference in the contribution of each AO/FO towards the final MO. In the case of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;, a notable example would be the 3a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; MO, where the LCAO MO predicted a much smaller contribution from the contributing  H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; FO with respect to that of the contributing B 2sAO. However, phase and general shape of the real MO is still well predicted by the LCAO MO. This just reiterates the usefulness of the LCAO model to qualitively solve for real MOs rather than quantitatively.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
MO theory is very useful in allowing the fast and largely accurate prediction of MOs that exist in molecules. It allows the qualitative determination of the shape and phase that exists in MOs without dealing with large chunks of data required to solve the Schrodinger equation. To a smaller extent, it can help to predict the relative energy levels of each of the resulting MOs. It is useful when applied on smaller molecules, where MO diagrams can be drawn with relative ease. However, is less useful when large molecules are involved, where there are a lot of different combinations of FOs to be considered, and various splitting energies involved. Additionally, it is also not useful when the actual contributions of each AO/FO is to be determined. &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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=Part 2: Ionic Liquids =&lt;br /&gt;
&lt;br /&gt;
== [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000073     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000017     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000294     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000124     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -0.0004    0.0003    0.0005   35.3122   35.3122   35.3122&lt;br /&gt;
 Low frequencies ---  217.1861  316.3283  316.3283&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_pch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000121     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000031     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000733     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000300     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_PCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---    0.0011    0.0013    0.0025   51.2382   51.2382   51.2382&lt;br /&gt;
 Low frequencies ---  186.6180  211.4132  211.4132&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_PCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Charge Distribution of Molecules==&lt;br /&gt;
[[File:Ssn_nch34_charges.png|250px|thumb|Charge distribution for [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
[[File:Ssn_pch34_charges.png|250px|thumb|Charge distribution for [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
&lt;br /&gt;
===Table of Charges (NBO Type)===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Element !! Charge in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;!! Charge in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|- &lt;br /&gt;
| N || -0.295 || -&lt;br /&gt;
|-&lt;br /&gt;
| P || - || +1.666 &lt;br /&gt;
|-&lt;br /&gt;
| C || -0.483 || -1.060 &lt;br /&gt;
|-&lt;br /&gt;
| H || +0.269 || +0.298&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===Comparison of Charge Distribution===&lt;br /&gt;
The charge distribution within each molecule will first be looked at here. A table of electronegativities&amp;lt;ref name=&amp;quot;electronegativities&amp;quot; /&amp;gt; will be referred to in the below discussion.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, N and C atoms have negative charge of -0.295 and -0.483 respectively, while H atoms have a positive charge of +0.269. &lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained by the difference in electronegativities. C has a higher electronegativity of 2.50 as opposed to H with a value of 2.10. As such, the bond between them would be polarized, with electron density pulled more towards the more electronegative C to result in the charge distribution observed. &lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the N atom to have a positive formal charge of +1 as a N atom has 5 valenece electrons, and there are 4 electrons surrounding the N atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. As such, the N atom in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is less stable. Since N is highly electronegative (electronegativity value = 3.07), which is higher than that of it&#039;s directly bonded C atoms (electronegativity value = 2.50), and also electron deficient, it will be able to exert a strong pull to polarize the N-C bonds and pull the electron density towards itself to mitigate the electron deficiency situation to become more stable.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, C atoms have negative charge of -1.060, while P and H atoms have a positive charge of +1.666 and +0.298 respectively.&lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained as above, due to the difference in electronegativities (2.50 and 2.10 respectively), such that electrons will be pulled towards the more electronegative C atoms.&lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the P atom to have a positive formal charge of +1 as a P atom has 5 valenece electrons, and there are 4 electrons surrounding the P atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. While the P is now electron deficient and destabilized, it has an electronegative value of 2.06 which is less than that of C&#039;s 2.10, and hence cannot stabilize itself in the manner that a N central atom can. In fact, since C is slightly more electronegative, the electron density is pulled towards C rather than P, and so the negative charge on C in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is further intensified, in comparison to that of [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===Discussion on Formal Charges===&lt;br /&gt;
&#039;&#039;&#039;What does the &amp;quot;formal&amp;quot; positive charge on the N represent in the traditional picture?&#039;&#039;&#039;&lt;br /&gt;
The &amp;quot;formal&amp;quot; positive charge on the N is obtained by considering the Lewis structure as done above, and can be calculated with the formula:&lt;br /&gt;
&lt;br /&gt;
Formal Charge = no. of valence electrons - no. of non-bonding electrons - [no. of bonding electrons/2]&lt;br /&gt;
&lt;br /&gt;
This calculation assumes that all the atoms are equally electronegative, such that electrons are shared equally in bonds. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;On what atoms is the positive charge actually located for this cation?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;, the positive charge is actually located on the H atoms instead. This is explained above, and in essence, is due to the fact that in reality, atoms have different electronegativities, leading to electrons not being equally shared in bonds.&lt;br /&gt;
&lt;br /&gt;
==A few MOs of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; ==&lt;br /&gt;
===Table of visualized MOs and LCAO MOs ===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Legend&lt;br /&gt;
|- &lt;br /&gt;
| [[File:Ssn_MOlegend.png|600px]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! MO Number !! Visualized MO and LCAO MO !! Rationalizing proposed MO&lt;br /&gt;
|- &lt;br /&gt;
| 9 || [[File:Ssn_MO9.png|700px]] || ○ To determine the N atom AO contributing to this MO, phase about the N atom was considered. Since there are 2 phases about the central N atom, it can be deduced that a 2pAO is involved. &lt;br /&gt;
○ For the contributing ligand (-CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) orbitals, it was observed that all 4 ligands are the same in that they all only consist of 1 phase throughout. This indicates that the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand, where all contributing AOs of atoms in the ligand are sAOs in the same phase, is the contributing FO in this MO9 of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
○ It is know that through-bond interactions are stronger than through-space interactions due to the proximity of through-bond interactions. In this case, the through-space interaction can be taken to &amp;quot;cancel out&amp;quot; (2 bonding and 2 anti-bonding of similar distance apart), leading to a MO showing largely bonding character.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| 10 || [[File:Ssn_MO10.png|700px]] || ○ Single phase about the N atom, indicating a N 2sAO&lt;br /&gt;
○ As before, in MO9, ligands have a single phase throughout, hence the contributing FO is likely the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand -CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
○ As shown in the MO obtained using Gaussian, despite there being through-space bonding interaction expected theoretically, it is not actually observed in reality, showing that through-space interactions are indeed weaker than through-bond interactions. There are through-bond antibonding interactions and through-space bonding interactions here. Since through-bond interactions are much stronger, this MO has a largely anti-bonding character.&lt;br /&gt;
|-&lt;br /&gt;
| 19 || [[File:Ssn_MO19.png|700px]] || ○ 2 phases about the central N atom, indicating a 2pAO involved. &lt;br /&gt;
○ 2 phases in ligand FOs, with a single node, suggesting that the contributing FO is a 1e bonding MO of the ligand. Specifically, the one as shown in the diagram above, with 2 H 1sAO in phase, and another H 1sAO in the opposite phase&lt;br /&gt;
&lt;br /&gt;
○ There is through-bond and through-space bonding interaction here, and only through-space antibonding interaction, hence the MO has a largely bonding character.&lt;br /&gt;
|} &lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
&amp;lt;references&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;modiagram&amp;quot;&amp;gt;P. Hunt, Molecular Orbitals in Inorganic Chemistry Lecture 4, Imperial College London, 2018.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;electronegativities&amp;quot;&amp;gt;E. J. Little and M. M. Jones, Journal of Chemical Education, 1960, 37, 231.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;/references&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=785248</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=785248"/>
		<updated>2019-05-20T16:12:32Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part 1=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
[[File:Ssn_modiagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The above diagram was adapted from this source&amp;lt;ref name=&amp;quot;modiagram&amp;quot; /&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
Phase and general shape of the real MOs is well predicted by LCAO MOs. In this molecule, the MO diagram drawn up using MO theory correctly predicted the energy levels of the real MOs. However, in a more complicated (i.e. larger) molecule, it may not be able to do so accurately as the splitting energies may not be as well known or easily accurately represented in a simple MO diagram.&lt;br /&gt;
&lt;br /&gt;
In this example, there is slight discrepancy in the general shape of the 2e&#039; antibonding MO to the left of the diagram, involving the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; orbital of B. In the real MO, the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; orbital is slightly bent downwards, away from the contributing 1sAO of H atoms. Despite the slight distortion of electron cloud phase that was not predicted by the LCAO MO, the general changes in phase matches that of the ones observed in the real MO. The bending of the 2p&amp;lt;sub&amp;gt;y&amp;lt;/sub&amp;gt; AO of B away from the contribution H 1sAO orbitals can be seen as a change in the resulting MO so as to achieve stabilization.&lt;br /&gt;
&lt;br /&gt;
Another difference that can be brought up is the difference in the contribution of each AO/FO towards the final MO. In the case of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;, a notable example would be the 3a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; MO, where the LCAO MO predicted a much smaller contribution from the contributing  H&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; FO with respect to that of the contributing B 2sAO. However, phase and general shape of the real MO is still well predicted by the LCAO MO. This just reiterates the usefulness of the LCAO model to qualitively solve for real MOs rather than quantitatively.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
MO theory is very useful in allowing the fast and largely accurate prediction of MOs that exist in molecules. It allows the qualitative determination of the shape and phase that exists in MOs without dealing with large chunks of data required to solve the Schrodinger equation. To a smaller extent, it can help to predict the relative energy levels of each of the resulting MOs. It is useful when applied on smaller molecules, where MO diagrams can be drawn with relative ease. However, is less useful when large molecules are involved, where there are a lot of different combinations of FOs to be considered, and various splitting energies involved. Additionally, it is also not useful when the actual contributions of each AO/FO is to be determined. &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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=Part 2: Ionic Liquids =&lt;br /&gt;
&lt;br /&gt;
== [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000073     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000017     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000294     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000124     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -0.0004    0.0003    0.0005   35.3122   35.3122   35.3122&lt;br /&gt;
 Low frequencies ---  217.1861  316.3283  316.3283&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_pch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000121     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000031     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000733     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000300     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_PCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---    0.0011    0.0013    0.0025   51.2382   51.2382   51.2382&lt;br /&gt;
 Low frequencies ---  186.6180  211.4132  211.4132&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_PCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Charge Distribution of Molecules==&lt;br /&gt;
[[File:Ssn_nch34_charges.png|250px|thumb|Charge distribution for [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
[[File:Ssn_pch34_charges.png|250px|thumb|Charge distribution for [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
&lt;br /&gt;
===Table of Charges (NBO Type)===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Element !! Charge in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;!! Charge in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|- &lt;br /&gt;
| N || -0.295 || -&lt;br /&gt;
|-&lt;br /&gt;
| P || - || +1.666 &lt;br /&gt;
|-&lt;br /&gt;
| C || -0.483 || -1.060 &lt;br /&gt;
|-&lt;br /&gt;
| H || +0.269 || +0.298&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===Comparison of Charge Distribution===&lt;br /&gt;
The charge distribution within each molecule will first be looked at here. A table of electronegativities&amp;lt;ref name=&amp;quot;electronegativities&amp;quot; /&amp;gt; will be referred to in the below discussion.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, N and C atoms have negative charge of -0.295 and -0.483 respectively, while H atoms have a positive charge of +0.269. &lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained by the difference in electronegativities. C has a higher electronegativity of 2.50 as opposed to H with a value of 2.10. As such, the bond between them would be polarized, with electron density pulled more towards the more electronegative C to result in the charge distribution observed. &lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the N atom to have a positive formal charge of +1 as a N atom has 5 valenece electrons, and there are 4 electrons surrounding the N atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. As such, the N atom in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is less stable. Since N is highly electronegative (electronegativity value = 3.07), which is higher than that of it&#039;s directly bonded C atoms (electronegativity value = 2.50), and also electron deficient, it will be able to exert a strong pull to polarize the N-C bonds and pull the electron density towards itself to mitigate the electron deficiency situation to become more stable.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, C atoms have negative charge of -1.060, while P and H atoms have a positive charge of +1.666 and +0.298 respectively.&lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained as above, due to the difference in electronegativities (2.50 and 2.10 respectively), such that electrons will be pulled towards the more electronegative C atoms.&lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the P atom to have a positive formal charge of +1 as a P atom has 5 valenece electrons, and there are 4 electrons surrounding the P atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. While the P is now electron deficient and destabilized, it has an electronegative value of 2.06 which is less than that of C&#039;s 2.10, and hence cannot stabilize itself in the manner that a N central atom can. In fact, since C is slightly more electronegative, the electron density is pulled towards C rather than P, and so the negative charge on C in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is further intensified, in comparison to that of [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===Discussion on Formal Charges===&lt;br /&gt;
&#039;&#039;&#039;What does the &amp;quot;formal&amp;quot; positive charge on the N represent in the traditional picture?&#039;&#039;&#039;&lt;br /&gt;
The &amp;quot;formal&amp;quot; positive charge on the N is obtained by considering the Lewis structure as done above, and can be calculated with the formula:&lt;br /&gt;
&lt;br /&gt;
Formal Charge = no. of valence electrons - no. of non-bonding electrons - [no. of bonding electrons/2]&lt;br /&gt;
&lt;br /&gt;
This calculation assumes that all the atoms are equally electronegative, such that electrons are shared equally in bonds. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;On what atoms is the positive charge actually located for this cation?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;, the positive charge is actually located on the H atoms instead. This is explained above, and in essence, is due to the fact that in reality, atoms have different electronegativities, leading to electrons not being equally shared in bonds.&lt;br /&gt;
&lt;br /&gt;
==A few MOs of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; ==&lt;br /&gt;
===Table of visualized MOs and LCAO MOs ===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Legend&lt;br /&gt;
|- &lt;br /&gt;
| [[File:Ssn_MOlegend.png|600px]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! MO Number !! Visualized MO and LCAO MO !! Rationalizing proposed MO&lt;br /&gt;
|- &lt;br /&gt;
| 9 || [[File:Ssn_MO9.png|700px]] || ○ To determine the N atom AO contributing to this MO, phase about the N atom was considered. Since there are 2 phases about the central N atom, it can be deduced that a 2pAO is involved. &lt;br /&gt;
○ For the contributing ligand (-CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) orbitals, it was observed that all 4 ligands are the same in that they all only consist of 1 phase throughout. This indicates that the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand, where all contributing AOs of atoms in the ligand are sAOs in the same phase, is the contributing FO in this MO9 of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
○ It is know that through-bond interactions are stronger than through-space interactions due to the proximity of through-bond interactions. In this case, the through-space interaction can be taken to &amp;quot;cancel out&amp;quot; (2 bonding and 2 anti-bonding of similar distance apart), leading to a MO showing largely bonding character.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| 10 || [[File:Ssn_MO10.png|700px]] || ○ Single phase about the N atom, indicating a N 2sAO&lt;br /&gt;
○ As before, in MO9, ligands have a single phase throughout, hence the contributing FO is likely the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand -CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
○ As shown in the MO obtained using Gaussian, despite there being through-space bonding interaction expected theoretically, it is not actually observed in reality, showing that through-space interactions are indeed weaker than through-bond interactions. There are through-bond antibonding interactions and through-space bonding interactions here. Since through-bond interactions are much stronger, this MO has a largely anti-bonding character.&lt;br /&gt;
|-&lt;br /&gt;
| 19 || [[File:Ssn_MO19.png|700px]] || ○ 2 phases about the central N atom, indicating a 2pAO involved. &lt;br /&gt;
○ 2 phases in ligand FOs, with a single node, suggesting that the contributing FO is a 1e bonding MO of the ligand. Specifically, the one as shown in the diagram above, with 2 H 1sAO in phase, and another H 1sAO in the opposite phase&lt;br /&gt;
&lt;br /&gt;
○ There is through-bond and through-space bonding interaction here, and only through-space antibonding interaction, hence the MO has a largely bonding character.&lt;br /&gt;
|} &lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
&amp;lt;references&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;modiagram&amp;quot;&amp;gt;P. Hunt, Molecular Orbitals in Inorganic Chemistry Lecture 4, Imperial College London, 2018.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;electronegativities&amp;quot;&amp;gt;E. J. Little and M. M. Jones, Journal of Chemical Education, 1960, 37, 231.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;/references&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=784935</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=784935"/>
		<updated>2019-05-20T14:12:07Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part 1=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
[[File:Ssn_modiagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The above diagram was adapted from this source&amp;lt;ref name=&amp;quot;modiagram&amp;quot; /&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=Part 2: Ionic Liquids =&lt;br /&gt;
&lt;br /&gt;
== [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000073     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000017     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000294     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000124     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -0.0004    0.0003    0.0005   35.3122   35.3122   35.3122&lt;br /&gt;
 Low frequencies ---  217.1861  316.3283  316.3283&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_pch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000121     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000031     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000733     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000300     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_PCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---    0.0011    0.0013    0.0025   51.2382   51.2382   51.2382&lt;br /&gt;
 Low frequencies ---  186.6180  211.4132  211.4132&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_PCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Charge Distribution of Molecules==&lt;br /&gt;
[[File:Ssn_nch34_charges.png|250px|thumb|Charge distribution for [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
[[File:Ssn_pch34_charges.png|250px|thumb|Charge distribution for [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
&lt;br /&gt;
===Table of Charges (NBO Type)===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Element !! Charge in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;!! Charge in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|- &lt;br /&gt;
| N || -0.295 || -&lt;br /&gt;
|-&lt;br /&gt;
| P || - || +1.666 &lt;br /&gt;
|-&lt;br /&gt;
| C || -0.483 || -1.060 &lt;br /&gt;
|-&lt;br /&gt;
| H || +0.269 || +0.298&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===Comparison of Charge Distribution===&lt;br /&gt;
The charge distribution within each molecule will first be looked at here. A table of electronegativities&amp;lt;ref name=&amp;quot;electronegativities&amp;quot; /&amp;gt; will be referred to in the below discussion.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, N and C atoms have negative charge of -0.295 and -0.483 respectively, while H atoms have a positive charge of +0.269. &lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained by the difference in electronegativities. C has a higher electronegativity of 2.50 as opposed to H with a value of 2.10. As such, the bond between them would be polarized, with electron density pulled more towards the more electronegative C to result in the charge distribution observed. &lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the N atom to have a positive formal charge of +1 as a N atom has 5 valenece electrons, and there are 4 electrons surrounding the N atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. As such, the N atom in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is less stable. Since N is highly electronegative (electronegativity value = 3.07), which is higher than that of it&#039;s directly bonded C atoms (electronegativity value = 2.50), and also electron deficient, it will be able to exert a strong pull to polarize the N-C bonds and pull the electron density towards itself to mitigate the electron deficiency situation to become more stable.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, C atoms have negative charge of -1.060, while P and H atoms have a positive charge of +1.666 and +0.298 respectively.&lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained as above, due to the difference in electronegativities (2.50 and 2.10 respectively), such that electrons will be pulled towards the more electronegative C atoms.&lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the P atom to have a positive formal charge of +1 as a P atom has 5 valenece electrons, and there are 4 electrons surrounding the P atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. While the P is now electron deficient and destabilized, it has an electronegative value of 2.06 which is less than that of C&#039;s 2.10, and hence cannot stabilize itself in the manner that a N central atom can. In fact, since C is slightly more electronegative, the electron density is pulled towards C rather than P, and so the negative charge on C in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is further intensified, in comparison to that of [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===Discussion on Formal Charges===&lt;br /&gt;
&#039;&#039;&#039;What does the &amp;quot;formal&amp;quot; positive charge on the N represent in the traditional picture?&#039;&#039;&#039;&lt;br /&gt;
The &amp;quot;formal&amp;quot; positive charge on the N is obtained by considering the Lewis structure as done above, and can be calculated with the formula:&lt;br /&gt;
&lt;br /&gt;
Formal Charge = no. of valence electrons - no. of non-bonding electrons - [no. of bonding electrons/2]&lt;br /&gt;
&lt;br /&gt;
This calculation assumes that all the atoms are equally electronegative, such that electrons are shared equally in bonds. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;On what atoms is the positive charge actually located for this cation?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;, the positive charge is actually located on the H atoms instead. This is explained above, and in essence, is due to the fact that in reality, atoms have different electronegativities, leading to electrons not being equally shared in bonds.&lt;br /&gt;
&lt;br /&gt;
==A few MOs of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; ==&lt;br /&gt;
===Table of visualized MOs and LCAO MOs ===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Legend&lt;br /&gt;
|- &lt;br /&gt;
| [[File:Ssn_MOlegend.png|600px]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! MO Number !! Visualized MO and LCAO MO !! Rationalizing proposed MO&lt;br /&gt;
|- &lt;br /&gt;
| 9 || [[File:Ssn_MO9.png|750px]] || ○ To determine the N atom AO contributing to this MO, phase about the N atom was considered. Since there are 2 phases about the central N atom, it can be deduced that a 2pAO is involved. &lt;br /&gt;
○ For the contributing ligand (-CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) orbitals, it was observed that all 4 ligands are the same in that they all only consist of 1 phase throughout. This indicates that the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand, where all contributing AOs of atoms in the ligand are sAOs in the same phase, is the contributing FO in this MO9 of N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;. &lt;br /&gt;
&lt;br /&gt;
○ It is know that through-bond interactions are stronger than through-space interactions due to the proximity of through-bond interactions. In this case, the through-space interaction can be taken to &amp;quot;cancel out&amp;quot; (2 bonding and 2 anti-bonding of similar distance apart), leading to a MO showing largely bonding character.&lt;br /&gt;
&lt;br /&gt;
|-&lt;br /&gt;
| 10 || [[File:Ssn_MO10.png|750px]] || ○ Single phase about the N atom, indicating a N 2sAO&lt;br /&gt;
○ As before, in MO9, ligands have a single phase throughout, hence the contributing FO is likely the 2a&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; bonding MO of the ligand -CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;&lt;br /&gt;
&lt;br /&gt;
○ As shown in the MO obtained using Gaussian, despite there being through-space bonding interaction expected theoretically, it is not actually observed in reality, showing that through-space interactions are indeed weaker than through-bond interactions. There are through-bond antibonding interactions and through-space bonding interactions here. Since through-bond interactions are much stronger, this MO has a largely anti-bonding character.&lt;br /&gt;
|-&lt;br /&gt;
| 19 || [[File:Ssn_MO19.png|750px]] || ○ 2 phases about the central N atom, indicating a 2pAO involved. &lt;br /&gt;
○ 2 phases in ligand FOs, with a single node, suggesting that the contributing FO is a 1e bonding MO of the ligand. Specifically, the one as shown in the diagram above, with 2 H 1sAO in phase, and another H 1sAO in the opposite phase&lt;br /&gt;
&lt;br /&gt;
○ There is through-bond and through-space bonding interaction here, and only through-space antibonding interaction, hence the MO has a largely bonding character.&lt;br /&gt;
|} &lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
&amp;lt;references&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;modiagram&amp;quot;&amp;gt;P. Hunt, Molecular Orbitals in Inorganic Chemistry Lecture 4, Imperial College London, 2018.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;electronegativities&amp;quot;&amp;gt;E. J. Little and M. M. Jones, Journal of Chemical Education, 1960, 37, 231.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;/references&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_MO19.png&amp;diff=784842</id>
		<title>File:Ssn MO19.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_MO19.png&amp;diff=784842"/>
		<updated>2019-05-20T13:20:11Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
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		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_MO10.png&amp;diff=784841</id>
		<title>File:Ssn MO10.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_MO10.png&amp;diff=784841"/>
		<updated>2019-05-20T13:19:53Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
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		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_MO9.png&amp;diff=784837</id>
		<title>File:Ssn MO9.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_MO9.png&amp;diff=784837"/>
		<updated>2019-05-20T13:16:35Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_MOlegend.png&amp;diff=784836</id>
		<title>File:Ssn MOlegend.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_MOlegend.png&amp;diff=784836"/>
		<updated>2019-05-20T13:15:23Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
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		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=783970</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=783970"/>
		<updated>2019-05-17T16:30:55Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part 1=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
[[File:Ssn_modiagram2.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;sup&amp;gt;1REF WEBSITE&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=Part 2: Ionic Liquids =&lt;br /&gt;
&lt;br /&gt;
== [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000073     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000017     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000294     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000124     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -0.0004    0.0003    0.0005   35.3122   35.3122   35.3122&lt;br /&gt;
 Low frequencies ---  217.1861  316.3283  316.3283&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_pch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000121     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000031     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000733     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000300     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_PCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---    0.0011    0.0013    0.0025   51.2382   51.2382   51.2382&lt;br /&gt;
 Low frequencies ---  186.6180  211.4132  211.4132&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_PCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Charge Distribution of Molecules==&lt;br /&gt;
[[File:Ssn_nch34_charges.png|250px|thumb|Charge distribution for [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
[[File:Ssn_pch34_charges.png|250px|thumb|Charge distribution for [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;]]&lt;br /&gt;
&lt;br /&gt;
===Table of Charges (NBO Type)===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Element !! Charge in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;!! Charge in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|- &lt;br /&gt;
| N || -0.295 || -&lt;br /&gt;
|-&lt;br /&gt;
| P || - || +1.666 &lt;br /&gt;
|-&lt;br /&gt;
| C || -0.483 || -1.060 &lt;br /&gt;
|-&lt;br /&gt;
| H || +0.269 || +0.298&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===Comparison of Charge Distribution===&lt;br /&gt;
The charge distribution within each molecule will first be looked at here. A table of electronegativities&amp;lt;ref name=&amp;quot;electronegativities&amp;quot; /&amp;gt; will be referred to in the below discussion.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, N and C atoms have negative charge of -0.295 and -0.483 respectively, while H atoms have a positive charge of +0.269. &lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained by the difference in electronegativities. C has a higher electronegativity of 2.50 as opposed to H with a value of 2.10. As such, the bond between them would be polarized, with electron density pulled more towards the more electronegative C to result in the charge distribution observed. &lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the N atom to have a positive formal charge of +1 as a N atom has 5 valenece electrons, and there are 4 electrons surrounding the N atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. As such, the N atom in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is less stable. Since N is highly electronegative (electronegativity value = 3.07), which is higher than that of it&#039;s directly bonded C atoms (electronegativity value = 2.50), and also electron deficient, it will be able to exert a strong pull to polarize the N-C bonds and pull the electron density towards itself to mitigate the electron deficiency situation to become more stable.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, C atoms have negative charge of -1.060, while P and H atoms have a positive charge of +1.666 and +0.298 respectively.&lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained as above, due to the difference in electronegativities (2.50 and 2.10 respectively), such that electrons will be pulled towards the more electronegative C atoms.&lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the P atom to have a positive formal charge of +1 as a P atom has 5 valenece electrons, and there are 4 electrons surrounding the P atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. While the P is now electron deficient and destabilized, it has an electronegative value of 2.06 which is less than that of C&#039;s 2.10, and hence cannot stabilize itself in the manner that a N central atom can. In fact, since C is slightly more electronegative, the electron density is pulled towards C rather than P, and so the negative charge on C in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is further intensified, in comparison to that of [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===Discussion on Formal Charges===&lt;br /&gt;
&#039;&#039;&#039;What does the &amp;quot;formal&amp;quot; positive charge on the N represent in the traditional picture?&#039;&#039;&#039;&lt;br /&gt;
The &amp;quot;formal&amp;quot; positive charge on the N is obtained by considering the Lewis structure as done above, and can be calculated with the formula:&lt;br /&gt;
&lt;br /&gt;
Formal Charge = no. of valence electrons - no. of non-bonding electrons - [no. of bonding electrons/2]&lt;br /&gt;
&lt;br /&gt;
This calculation assumes that all the atoms are equally electronegative, such that electrons are shared equally in bonds. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;On what atoms is the positive charge actually located for this cation?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;, the positive charge is actually located on the H atoms instead. This is explained above, and in essence, is due to the fact that in reality, atoms have different electronegativities, leading to electrons not being equally shared in bonds.&lt;br /&gt;
&lt;br /&gt;
=References=&lt;br /&gt;
&amp;lt;references&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;electronegativities&amp;quot;&amp;gt;https://pubs.acs.org/doi/pdf/10.1021/ed037p231&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;/references&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_pch34_charges.png&amp;diff=783913</id>
		<title>File:Ssn pch34 charges.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_pch34_charges.png&amp;diff=783913"/>
		<updated>2019-05-17T16:17:18Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nch34_charges.png&amp;diff=783909</id>
		<title>File:Ssn nch34 charges.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nch34_charges.png&amp;diff=783909"/>
		<updated>2019-05-17T16:16:34Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_modiagram2.png&amp;diff=783904</id>
		<title>File:Ssn modiagram2.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_modiagram2.png&amp;diff=783904"/>
		<updated>2019-05-17T16:15:13Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_modiagram2.jpg&amp;diff=783884</id>
		<title>File:Ssn modiagram2.jpg</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_modiagram2.jpg&amp;diff=783884"/>
		<updated>2019-05-17T16:12:29Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssncharges1.png&amp;diff=783876</id>
		<title>File:Ssncharges1.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssncharges1.png&amp;diff=783876"/>
		<updated>2019-05-17T16:10:42Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=783388</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=783388"/>
		<updated>2019-05-17T14:19:43Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part 1=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&amp;lt;sup&amp;gt;1REF WEBSITE&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=Part 2: Ionic Liquids =&lt;br /&gt;
&lt;br /&gt;
== [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000073     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000017     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000294     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000124     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -0.0004    0.0003    0.0005   35.3122   35.3122   35.3122&lt;br /&gt;
 Low frequencies ---  217.1861  316.3283  316.3283&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_pch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000121     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000031     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000733     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000300     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_PCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---    0.0011    0.0013    0.0025   51.2382   51.2382   51.2382&lt;br /&gt;
 Low frequencies ---  186.6180  211.4132  211.4132&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_PCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Charge Distribution of Molecules==&lt;br /&gt;
&lt;br /&gt;
===Screenshots showing molecule charge distribution===&lt;br /&gt;
&lt;br /&gt;
===Table of Charges (NBO Type)===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Element !! Charge in [N(CH&amp;lt;sub&amp;gt;3)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;!! Charge in [P(CH&amp;lt;sub&amp;gt;3)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;&lt;br /&gt;
|- &lt;br /&gt;
| N || -0.295 || -&lt;br /&gt;
|-&lt;br /&gt;
| P || - || +1.666 &lt;br /&gt;
|-&lt;br /&gt;
| C || -0.483 || -1.060 &lt;br /&gt;
|-&lt;br /&gt;
| H || +0.269 || +0.298&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===Comparison of Charge Distribution===&lt;br /&gt;
The charge distribution within each molecule will first be looked at here. A table of electronegativities&amp;lt;ref name=&amp;quot;electronegativities&amp;quot; /&amp;gt; will be referred to in the below discussion.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, N and C atoms have negative charge of -0.295 and -0.483 respectively, while H atoms have a positive charge of +0.269. &lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained by the difference in electronegativities. C has a higher electronegativity of 2.50 as opposed to H with a value of 2.10. As such, the bond between them would be polarized, with electron density pulled more towards the more electronegative C to result in the charge distribution observed. &lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the N atom to have a positive formal charge of +1 as a N atom has 5 valenece electrons, and there are 4 electrons surrounding the N atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. As such, the N atom in [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is less stable. Since N is highly electronegative (electronegativity value = 3.07), which is higher than that of it&#039;s directly bonded C atoms (electronegativity value = 2.50), and also electron deficient, it will be able to exert a strong pull to polarize the N-C bonds and pull the electron density towards itself to mitigate the electron deficiency situation to become more stable.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;For [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;:&#039;&#039;&#039; &lt;br /&gt;
&lt;br /&gt;
Using a NBO analysis, C atoms have negative charge of -1.060, while P and H atoms have a positive charge of +1.666 and +0.298 respectively.&lt;br /&gt;
&lt;br /&gt;
The difference in charge between C and its bonded H atoms can be explained as above, due to the difference in electronegativities (2.50 and 2.10 respectively), such that electrons will be pulled towards the more electronegative C atoms.&lt;br /&gt;
&lt;br /&gt;
Considering the Lewis Structure of the molecule, we expect the P atom to have a positive formal charge of +1 as a P atom has 5 valenece electrons, and there are 4 electrons surrounding the P atom (= no. of bonding electrons/2 = 8/2 = 4) and no non-bonding electrons here. While the P is now electron deficient and destabilized, it has an electronegative value of 2.06 which is less than that of C&#039;s 2.10, and hence cannot stabilize itself in the manner that a N central atom can. In fact, since C is slightly more electronegative, the electron density is pulled towards C rather than P, and so the negative charge on C in [P(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt; is further intensified, in comparison to that of [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
===Discussion on Formal Charges===&lt;br /&gt;
&#039;&#039;&#039;What does the &amp;quot;formal&amp;quot; positive charge on the N represent in the traditional picture?&#039;&#039;&#039;&lt;br /&gt;
The &amp;quot;formal&amp;quot; positive charge on the N is obtained by considering the Lewis structure as done above, and can be calculated with the formula:&lt;br /&gt;
&lt;br /&gt;
Formal Charge = no. of valence electrons - no. of non-bonding electrons - [no. of bonding electrons/2]&lt;br /&gt;
&lt;br /&gt;
This calculation assumes that all the atoms are equally electronegative, such that electrons are shared equally in bonds. &lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;On what atoms is the positive charge actually located for this cation?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
For [N(CH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;, the positive charge is actually located on the H atoms instead. This is explained above, and in essence, is due to the fact that in reality, atoms have different electronegativities, leading to electrons not being equally shared in bonds.&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
&amp;lt;references&amp;gt;&lt;br /&gt;
&amp;lt;ref name=&amp;quot;electronegativities&amp;quot;&amp;gt;https://pubs.acs.org/doi/pdf/10.1021/ed037p231&amp;lt;/ref&amp;gt;&lt;br /&gt;
&amp;lt;/references&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=782239</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=782239"/>
		<updated>2019-05-16T20:47:31Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part 1=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=Part 2: Ionic Liquids =&lt;br /&gt;
&lt;br /&gt;
== [N(CH&amp;lt;sub&amp;gt;3)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000073     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000017     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000294     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000124     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -0.0004    0.0003    0.0005   35.3122   35.3122   35.3122&lt;br /&gt;
 Low frequencies ---  217.1861  316.3283  316.3283&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== [P(CH&amp;lt;sub&amp;gt;3)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_pch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000121     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000031     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000733     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000300     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_PCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---    0.0011    0.0013    0.0025   51.2382   51.2382   51.2382&lt;br /&gt;
 Low frequencies ---  186.6180  211.4132  211.4132&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_PCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_PCH34_FREQ.LOG&amp;diff=782226</id>
		<title>File:SSN PCH34 FREQ.LOG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_PCH34_FREQ.LOG&amp;diff=782226"/>
		<updated>2019-05-16T20:42:53Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_pch34_opt_summ.png&amp;diff=782224</id>
		<title>File:Ssn pch34 opt summ.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_pch34_opt_summ.png&amp;diff=782224"/>
		<updated>2019-05-16T20:41:53Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=782222</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=782222"/>
		<updated>2019-05-16T20:41:06Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;=Part 1=&lt;br /&gt;
== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=Part 2: Ionic Liquids =&lt;br /&gt;
&lt;br /&gt;
== [N(CH&amp;lt;sub&amp;gt;3)&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;]&amp;lt;sup&amp;gt;+&amp;lt;/sup&amp;gt;==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nch34_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000073     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000017     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000294     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000124     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NCH34_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -0.0004    0.0003    0.0005   35.3122   35.3122   35.3122&lt;br /&gt;
 Low frequencies ---  217.1861  316.3283  316.3283&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NCH34_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_NCH34_FREQ.LOG&amp;diff=782211</id>
		<title>File:SSN NCH34 FREQ.LOG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_NCH34_FREQ.LOG&amp;diff=782211"/>
		<updated>2019-05-16T20:35:32Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nch34_opt_summ.png&amp;diff=782208</id>
		<title>File:Ssn nch34 opt summ.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nch34_opt_summ.png&amp;diff=782208"/>
		<updated>2019-05-16T20:34:22Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781985</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781985"/>
		<updated>2019-05-16T19:07:28Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å [Bond distances are accurate to ≈ 0.001 Å]&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781984</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781984"/>
		<updated>2019-05-16T19:06:56Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Optimized N-I distance===&lt;br /&gt;
2.184 Å&lt;br /&gt;
&lt;br /&gt;
bond distances are accurate to ≈ 0.001 Å&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781978</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781978"/>
		<updated>2019-05-16T19:02:50Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;br /&gt;
&lt;br /&gt;
== NI&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p) LANL2DZ&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_ni3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000140     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000092     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.001123     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000804     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NI3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---  -12.7232  -12.7172   -6.4215   -0.0039    0.0189    0.0620&lt;br /&gt;
 Low frequencies ---  101.0767  101.0775  147.4581&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NI3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_NI3_FREQ.LOG&amp;diff=781976</id>
		<title>File:SSN NI3 FREQ.LOG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_NI3_FREQ.LOG&amp;diff=781976"/>
		<updated>2019-05-16T19:01:17Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_ni3_opt_summ.png&amp;diff=781973</id>
		<title>File:Ssn ni3 opt summ.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_ni3_opt_summ.png&amp;diff=781973"/>
		<updated>2019-05-16T18:54:01Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781857</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781857"/>
		<updated>2019-05-16T17:31:00Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Association Energy==&lt;br /&gt;
===Calculation of Association Energy===&lt;br /&gt;
Values obtained using the same method and basis set.&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -56.55777 AU&lt;br /&gt;
* E(BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -26.61532 AU&lt;br /&gt;
* E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;) = -83.22469 AU&lt;br /&gt;
&lt;br /&gt;
ΔE = E(NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&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;)] = −0.05160 AU = (−0.05160 x 2625.50) kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; = −135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Bond strength of NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
Based on the energy calculation carried out above, we can take bond energy of the B-N bond to be equal in magnitude to that of the association energy, such that bond energy of dative B-N bond = 135.47580 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;. Comparing to the known average bond energy of a C-C bond = 346 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, as well as average bond energy of I-I bond = 150 kJ/ mol&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, it can be concluded that the dative B-N bond is weak. Dative B-N has a lower bond energy than expected, especially with comparison to I-I. It is expected that B-N, since involving smaller atoms and hence having a smaller bond length, will have a stronger bond than I-I which has larger atoms that lead to a larger bond length.&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781710</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781710"/>
		<updated>2019-05-16T16:51:03Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000233     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000083     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000820     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000318     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0276   -0.0070   -0.0053   10.1011   10.1486   37.9344&lt;br /&gt;
 Low frequencies ---  265.3079  634.4241  639.2084&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_NH3BH3_FREQ.LOG&amp;diff=781701</id>
		<title>File:SSN NH3BH3 FREQ.LOG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_NH3BH3_FREQ.LOG&amp;diff=781701"/>
		<updated>2019-05-16T16:49:33Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nh3bh3_opt_summ.png&amp;diff=781699</id>
		<title>File:Ssn nh3bh3 opt summ.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nh3bh3_opt_summ.png&amp;diff=781699"/>
		<updated>2019-05-16T16:48:29Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781569</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781569"/>
		<updated>2019-05-16T16:11:15Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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     0.000042     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000027     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781562</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781562"/>
		<updated>2019-05-16T16:09:23Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000012     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000008     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000064     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000039     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ2.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000016     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000011     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ2.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -0.0130   -0.0016   -0.0007    7.0749    8.0912    8.0915&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;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ2.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.6&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_NH3_OPT_FREQ2.LOG&amp;diff=781556</id>
		<title>File:SSN NH3 OPT FREQ2.LOG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_NH3_OPT_FREQ2.LOG&amp;diff=781556"/>
		<updated>2019-05-16T16:08:02Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nh3_opt_summ2.png&amp;diff=781552</id>
		<title>File:Ssn nh3 opt summ2.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nh3_opt_summ2.png&amp;diff=781552"/>
		<updated>2019-05-16T16:06:25Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: asdasd&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;asdasd&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nh3_opt_summ.png&amp;diff=781544</id>
		<title>File:Ssn nh3 opt summ.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nh3_opt_summ.png&amp;diff=781544"/>
		<updated>2019-05-16T16:04:11Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: Ssn3617 uploaded a new version of File:Ssn nh3 opt summ.png&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781539</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781539"/>
		<updated>2019-05-16T16:01:05Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: /* &amp;quot;Item&amp;quot; table from optimisation */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000012     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000008     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000064     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000039     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000006     0.000015     YES&lt;br /&gt;
 RMS     Force            0.000004     0.000010     YES&lt;br /&gt;
 Maximum Displacement     0.000013     0.000060     YES&lt;br /&gt;
 RMS     Displacement     0.000009     0.000040     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -8.5646   -8.5588   -0.0044    0.0454    0.1784   26.4183&lt;br /&gt;
 Low frequencies --- 1089.7603 1694.1865 1694.1865&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781250</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=781250"/>
		<updated>2019-05-16T15:12:31Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
         Item               Value     Threshold  Converged?&lt;br /&gt;
 Maximum Force            0.000012     0.000450     YES&lt;br /&gt;
 RMS     Force            0.000008     0.000300     YES&lt;br /&gt;
 Maximum Displacement     0.000064     0.001800     YES&lt;br /&gt;
 RMS     Displacement     0.000039     0.001200     YES&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;br /&gt;
&lt;br /&gt;
===MO diagram of BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;===&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Are there any significant differences between the real and LCAO MOs?&#039;&#039;&#039;&lt;br /&gt;
&#039;&#039;&#039;What does this say about the accuracy and usefulness of qualitative MO theory?&#039;&#039;&#039;&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 and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_nh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&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;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_NH3_OPT_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt;&lt;br /&gt;
 Low frequencies ---   -8.5646   -8.5588   -0.0044    0.0454    0.1784   26.4183&lt;br /&gt;
 Low frequencies --- 1089.7603 1694.1865 1694.1865&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_NH3_OPT_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.2&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== NH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_NH3_OPT_FREQ.LOG&amp;diff=781190</id>
		<title>File:SSN NH3 OPT FREQ.LOG</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:SSN_NH3_OPT_FREQ.LOG&amp;diff=781190"/>
		<updated>2019-05-16T15:05:17Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nh3_opt_summ.png&amp;diff=781173</id>
		<title>File:Ssn nh3 opt summ.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_nh3_opt_summ.png&amp;diff=781173"/>
		<updated>2019-05-16T15:03:53Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780505</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780505"/>
		<updated>2019-05-16T13:43:31Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: /* BH3 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===Summary table of final optimized molecule===&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;         Item               Value     Threshold  Converged?&lt;br /&gt;
&lt;br /&gt;
 Maximum Force            0.000012     0.000450     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Force            0.000008     0.000300     YES&lt;br /&gt;
&lt;br /&gt;
 Maximum Displacement     0.000064     0.001800     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Displacement     0.000039     0.001200     YES&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.8&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780495</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780495"/>
		<updated>2019-05-16T13:42:32Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: /* BH3 */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
[[File:Ssn_bh3_opt_summ.png|thumb|Summary table of final optimized molecule]]&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;         Item               Value     Threshold  Converged?&lt;br /&gt;
&lt;br /&gt;
 Maximum Force            0.000012     0.000450     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Force            0.000008     0.000300     YES&lt;br /&gt;
&lt;br /&gt;
 Maximum Displacement     0.000064     0.001800     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Displacement     0.000039     0.001200     YES&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.8&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_bh3_opt_summ.png&amp;diff=780480</id>
		<title>File:Ssn bh3 opt summ.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_bh3_opt_summ.png&amp;diff=780480"/>
		<updated>2019-05-16T13:39:59Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780430</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780430"/>
		<updated>2019-05-16T13:34:40Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===add an image of the summary table produced by gaussview===&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;         Item               Value     Threshold  Converged?&lt;br /&gt;
&lt;br /&gt;
 Maximum Force            0.000012     0.000450     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Force            0.000008     0.000300     YES&lt;br /&gt;
&lt;br /&gt;
 Maximum Displacement     0.000064     0.001800     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Displacement     0.000039     0.001200     YES&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.8&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
There are 2 sets of degenerate modes: mode 2 and 3 (bending), and mode 5 and 6 (stretching).&lt;br /&gt;
On top of that, mode 4 is IR inactive as it does not result in a net change in dipole moment due to the simultaneous stretching of the 3 B-H bonds to the same extent.&lt;br /&gt;
Taking the above into consideration, 3 peaks are expected, and that is observed in the IR spectrum obtained using GaussView.&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780410</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780410"/>
		<updated>2019-05-16T13:32:17Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===add an image of the summary table produced by gaussview===&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;         Item               Value     Threshold  Converged?&lt;br /&gt;
&lt;br /&gt;
 Maximum Force            0.000012     0.000450     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Force            0.000008     0.000300     YES&lt;br /&gt;
&lt;br /&gt;
 Maximum Displacement     0.000064     0.001800     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Displacement     0.000039     0.001200     YES&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.8&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry !! IR active/ inactive !! Vibration Type&lt;br /&gt;
|- &lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039; || Active || Bending&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039; || Inactive || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039; || Active || Stretching&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
===IR Spectrum===&lt;br /&gt;
[[File:Ssn_bh3_irspec.png]]&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;Why are there less than six peaks in the spectrum despite there being 6 vibrational modes?&#039;&#039;&#039;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_bh3_irspec.png&amp;diff=780363</id>
		<title>File:Ssn bh3 irspec.png</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=File:Ssn_bh3_irspec.png&amp;diff=780363"/>
		<updated>2019-05-16T13:26:09Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780301</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780301"/>
		<updated>2019-05-16T13:17:26Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===add an image of the summary table produced by gaussview===&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;         Item               Value     Threshold  Converged?&lt;br /&gt;
&lt;br /&gt;
 Maximum Force            0.000012     0.000450     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Force            0.000008     0.000300     YES&lt;br /&gt;
&lt;br /&gt;
 Maximum Displacement     0.000064     0.001800     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Displacement     0.000039     0.001200     YES&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.8&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Table of Vibrations===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; border=&amp;quot;1&amp;quot;&lt;br /&gt;
! Mode !! Frequency/ cm-1 !! Intensity !! Symmetry&lt;br /&gt;
|-&lt;br /&gt;
| 1 || 1164 || 93 || A&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| 2 || 1213 || 14 || E&#039;&lt;br /&gt;
|-&lt;br /&gt;
| 3 || 1213 || 14 || E&#039;&lt;br /&gt;
|-&lt;br /&gt;
| 4 || 2582 || 0 || A&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt;&#039;&lt;br /&gt;
|-&lt;br /&gt;
| 5 || 2716 || 126 || E&#039;&lt;br /&gt;
|-&lt;br /&gt;
| 6 || 2716 || 126 || E&#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
Include a table listing the vibrations,their intensity and symmetry in your wiki. Careful with the accuracy of your numbers, check the accuracy page! Indicate in your table if a vibration is IR active or not and describe what kind of vibration it is.&lt;br /&gt;
Take a snap-shot of the spectrum and include it in your wiki.&lt;br /&gt;
In your wiki explain why are there less than six peaks in the spectrum, when there are obviously six vibrations.&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780171</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780171"/>
		<updated>2019-05-16T12:52:48Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===add an image of the summary table produced by gaussview===&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;         Item               Value     Threshold  Converged?&lt;br /&gt;
&lt;br /&gt;
 Maximum Force            0.000012     0.000450     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Force            0.000008     0.000300     YES&lt;br /&gt;
&lt;br /&gt;
 Maximum Displacement     0.000064     0.001800     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Displacement     0.000039     0.001200     YES&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;script&amp;gt;frame 1.8&amp;lt;/script&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
	<entry>
		<id>https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780163</id>
		<title>Rep:Mod:Ssn3617</title>
		<link rel="alternate" type="text/html" href="https://chemwiki.ch.ic.ac.uk/index.php?title=Rep:Mod:Ssn3617&amp;diff=780163"/>
		<updated>2019-05-16T12:50:17Z</updated>

		<summary type="html">&lt;p&gt;Ssn3617: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== BH&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; ==&lt;br /&gt;
&lt;br /&gt;
=== Method and Basis Set ===&lt;br /&gt;
* Method: B3LYP&lt;br /&gt;
* Basis Set: 6-31G(d,p)&lt;br /&gt;
&lt;br /&gt;
===add an image of the summary table produced by gaussview===&lt;br /&gt;
&lt;br /&gt;
=== &amp;quot;Item&amp;quot; table from optimisation ===&lt;br /&gt;
&amp;lt;pre&amp;gt;         Item               Value     Threshold  Converged?&lt;br /&gt;
&lt;br /&gt;
 Maximum Force            0.000012     0.000450     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Force            0.000008     0.000300     YES&lt;br /&gt;
&lt;br /&gt;
 Maximum Displacement     0.000064     0.001800     YES&lt;br /&gt;
&lt;br /&gt;
 RMS     Displacement     0.000039     0.001200     YES&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Link to frequency .log file===&lt;br /&gt;
[[File:SSN_BH3_FREQ.LOG]]&lt;br /&gt;
&lt;br /&gt;
===Low Frequency lines from .log file===&lt;br /&gt;
&amp;lt;pre&amp;gt; Low frequencies ---   -7.5936   -1.5614   -0.0054    0.6514    6.9319    7.1055&lt;br /&gt;
 Low frequencies --- 1162.9677 1213.1634 1213.1661&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Jmol image from frequency file===&lt;br /&gt;
&amp;lt;jmol&amp;gt;&amp;lt;jmolApplet&amp;gt;&lt;br /&gt;
  &amp;lt;title&amp;gt;Optimized 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;SSN_BH3_FREQ.LOG&amp;lt;/uploadedFileContents&amp;gt;&lt;br /&gt;
&amp;lt;/jmolApplet&amp;gt;&amp;lt;/jmol&amp;gt;&lt;/div&gt;</summary>
		<author><name>Ssn3617</name></author>
	</entry>
</feed>