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EX3

BH3

B3LYP/6-31G (d,p)level

         Item               Value     Threshold  Converged?
 Maximum Force            0.000014     0.000450     YES
 RMS     Force            0.000007     0.000300     YES
 Maximum Displacement     0.000053     0.001800     YES
 RMS     Displacement     0.000027     0.001200     YES
 Predicted change in Energy=-1.076094D-09
 Optimization completed.
    -- Stationary point found. 
BH3 optimised

Link to log file: https://wiki.ch.ic.ac.uk/wiki/images/2/25/LM_BH3_FREQ.LOG

Symmetry of Vibrations

 Low frequencies ---   -7.5936   -1.5614   -0.0055    0.6514    6.9319    7.1055
 Low frequencies --- 1162.9677 1213.1634 1213.1661
 Diagonal vibrational polarizability:
        0.7180487       0.7179485       1.8415337
 Harmonic frequencies (cm**-1), IR intensities (KM/Mole), Raman scattering
 activities (A**4/AMU), depolarization ratios for plane and unpolarized
 incident light, reduced masses (AMU), force constants (mDyne/A),
 and normal coordinates:


                      1                      2                      3
                     A2"                    E'                     E'
 Frequencies --   1162.9677              1213.1634              1213.1661
 Red. masses --      1.2531                 1.1072                 1.1072
 Frc consts  --      0.9986                 0.9601                 0.9601
 IR Inten    --     92.5512                14.0538                14.0574
  Atom  AN      X      Y      Z        X      Y      Z        X      Y      Z
     1   5     0.00   0.00   0.16     0.00   0.10   0.00    -0.10   0.00   0.00
     2   1     0.00   0.00  -0.57     0.00   0.08   0.00     0.81   0.00   0.00
     3   1     0.00   0.00  -0.57     0.39  -0.59   0.00     0.14  -0.39   0.00
     4   1     0.00   0.00  -0.57    -0.39  -0.59   0.00     0.14   0.39   0.00
                      4                      5                      6
                     A1'                    E'                     E'
 Frequencies --   2582.3761              2715.5558              2715.5570
 Red. masses --      1.0078                 1.1273                 1.1273
 Frc consts  --      3.9598                 4.8981                 4.8981
 IR Inten    --      0.0000               126.3267               126.3171
  Atom  AN      X      Y      Z        X      Y      Z        X      Y      Z
     1   5     0.00   0.00   0.00     0.11   0.00   0.00     0.00   0.11   0.00
     2   1     0.00  -0.58   0.00     0.02   0.00   0.00     0.00  -0.81   0.00
     3   1     0.50   0.29   0.00    -0.60  -0.36   0.00    -0.36  -0.19   0.00
     4   1    -0.50   0.29   0.00    -0.60   0.36   0.00     0.36  -0.19   0.00

Spectrum

Vibration Modes

wavenumber (cm-1 Intensity (arbitrary units) symmetry IR active? type
1164 92 A2 yes out-of-plane bend
1214 14 E very slight bend
1213 14 E very slight bend
2580 126 E' Yes Asymmetric stretch
2713 0 E' no symmetric stretch
2713 126 E' yes asymmetric stretch

Ng611 (talk) 23:56, 15 May 2019 (BST) You've gotten two of your entries confused here it seems...

The obtained computational results shows there are 6 vibrational modes, it is expected 3 modes following the 3N-6 rule. The spectrum above only shows 3 peaks, modes 2&3 and modes 5&6 have degenerate energy relative to one another, so only appear as one peak in the spectrum. On the other hand, mode 4 corresponds to a symmetric stretch which does not appear in the spectrum because there's no change in dipole moment involved. That gives two peaks so far, such that the remaining peak is due to non-degenerate out of plane bending.

MO diagram

By comparing the quantified MOs obtained in Gaussian to those expected by applying LCAO, it is seen that the MOs come out as expected in terms of relative shape and phases. This is a simple MO diagram because there are only 4 atoms involved in a symmetric arrangement in an 8 electron system.

Ng611 (talk) 23:57, 15 May 2019 (BST) Can you spot any discrepancies?

NH3

         Item               Value     Threshold  Converged?
 Maximum Force            0.000092     0.000450     YES
 RMS     Force            0.000039     0.000300     YES
 Maximum Displacement     0.000304     0.001800     YES
 RMS     Displacement     0.000101     0.001200     YES 
 Low frequencies ---  -32.4128  -32.3999  -11.4544   -0.0040    0.0076    0.0521
 Low frequencies --- 1088.7642 1694.0248 1694.0252 

Link to log file: https://wiki.ch.ic.ac.uk/wiki/images/e/e5/NH3_OPT.LOG

NH3

BH3NH3 opt


                  Item               Value     Threshold  Converged?
 Maximum Force            0.000114     0.000450     YES
 RMS     Force            0.000063     0.000300     YES
 Maximum Displacement     0.000621     0.001800     YES
 RMS     Displacement     0.000355     0.001200     YES
Low frequencies ---   -0.0617   -0.0457   -0.0067   21.6783   21.6842   40.5400
 Low frequencies ---  266.0169  632.3610  640.1360 

Link to log file: https://wiki.ch.ic.ac.uk/wiki/images/6/65/NH3BH3OPT.LOG

NH3BH3

Energy Association

ΔE=E(NH3BH3)-[E(NH3)+E(BH3)]


E(NH3)= -56.5578 a.u.

E(BH3)= -26.6153 a.u.

E(NH3BH3)= -83.2180 a.u.

ΔE=E(NH3BH3)-[E(NH3)+E(BH3)] = -83.2180 - (-26.6153-56.5578)

ΔE = -0.0449 a.u. = -135 kJmol-1

The B-N bond is of dative covalent nature, though there's a dipole moment across the bond due to the difference in electronegativity, by comparing to the strength of C-C bond -348 kJmol, C-C is around 2.5 times stronger than the dative covalent B-N bond.

Ng611 (talk) 23:59, 15 May 2019 (BST) Good calculation! But remember... CITE THE SOURCE YOU GOT YOUR BOND ENTHALPIES FROM!

NI3


 Item               Value     Threshold  Converged?
 Maximum Force            0.000064     0.000450     YES
 RMS     Force            0.000038     0.000300     YES
 Maximum Displacement     0.000488     0.001800     YES
 RMS     Displacement     0.000278     0.001200     YES
 Predicted change in Energy=-6.408178D-08
 Optimization completed.
    -- Stationary point found.


 Low frequencies ---  -12.7380  -12.7319   -6.2907   -0.0039    0.0188    0.0633
 Low frequencies ---  101.0326  101.0333  147.4124 
NI3 optimised

N-I bond length: 2.18362 A

Ng611 (talk) 00:01, 16 May 2019 (BST) Far too much precision here. 3 d.p. is generally as acurate as you can be with your current basis set and XC functional.

Link to log file: https://wiki.ch.ic.ac.uk/wiki/images/2/2b/NI3_GENPP_FEKSYMOPT.LOG

Ionic Liquids

[N(CH3)4]+


         Item               Value     Threshold  Converged?
 Maximum Force            0.000102     0.000450     YES
 RMS     Force            0.000042     0.000300     YES
 Maximum Displacement     0.001086     0.001800     YES
 RMS     Displacement     0.000422     0.001200     YES
 Predicted change in Energy=-3.639219D-07
 Optimization completed.


 Low frequencies ---   -0.0008   -0.0008   -0.0005   34.4773   34.4773   34.4773
 Low frequencies ---  216.6376  316.0116  316.0116
[N(CH3)4]+

Link to log file: https://wiki.ch.ic.ac.uk/wiki/images/9/94/NCH34_FREQ2_SYM.LOG

Hydrogens in this system are adjacent to electronegative atoms relative to itself. Electrons are more inclined to be around the nitrogen and less so on the hydrogens. The positive charge is spread across the hydrogens.

[P(CH3)4]+

          Item               Value     Threshold  Converged?
 Maximum Force            0.000050     0.000450     YES
 RMS     Force            0.000011     0.000300     YES
 Maximum Displacement     0.000116     0.001800     YES
 RMS     Displacement     0.000086     0.001200     YES
 Predicted change in Energy=-1.904528D-08
 Low frequencies ---   -0.0023   -0.0011   -0.0008   50.6326   50.6326   50.6326
 Low frequencies ---  187.9314  213.0145  213.0145
[P(CH3)4)]+

Freq log file: https://wiki.ch.ic.ac.uk/wiki/images/d/da/P%28CH3%294-%2B_FREQ.LOG


In comparison to [N(CH3)4]+, this ion has its negative charge distributed amongst the methyls because in this system they are the most electronegative species. The positive charge primary sits on the P

Ng611 (talk) 00:06, 16 May 2019 (BST) A side by side comparison (complete with tabulated charges and a more detailed description of differences) would be useful here.


MO 9 is slightly bonding. MO 10 is bonding

Ng611 (talk) 00:09, 16 May 2019 (BST) Dubious about the FOs for your second LCAO. If you had through bond interactions between your p-like FOs and your central s-orbital, I'd expect a greater amount of electron density. More likely is that the FOs are more like the ones in the first LCAO. Also, labelling some of the key interactions would be useful.