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Comp 01190874 ABR

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Inorganic Lab 2019

BH3

Initial Calculation

B3LYP/3-21G level

         Item               Value     Threshold  Converged?
 Maximum Force            0.000217     0.000450     YES
 RMS     Force            0.000105     0.000300     YES
 Maximum Displacement     0.000919     0.001800     YES
 RMS     Displacement     0.000441     0.001200     YES


NB: This is a nice inclusion but not necessary/relevant in terms of presentation. To improve it would have been good to see a comment about why the calculation was done at the lower level of theory first etc. just to make it relevant. Smf115 (talk) 11:50, 26 May 2019 (BST)

Higher Accuracy Calculation

B3LYP/6-31G level

         Item               Value     Threshold  Converged?
 Maximum Force            0.000012     0.000450     YES
 RMS     Force            0.000008     0.000300     YES
 Maximum Displacement     0.000064     0.001800     YES
 RMS     Displacement     0.000039     0.001200     YES


Total energy for 3-21G calculationː-26.46226371 a.u.

Total energy for 6-31G calculation with D3h symmetryː -26.61532364 a.u.

Low frequencies ---   -7.5936   -1.5614   -0.0055    0.6514    6.9319    7.1055

Low frequencies --- 1162.9677 1213.1634 1213.1661

File:ABR BH3 FREQ.LOG

Vibrational Spectrum

wavenumber (cm-1 Intensity (arbitrary units) symmetry IR active? type
1163 93 A2 yes out-of-plane bend
1213 14 E' very slight bend
1213 14 E' very slight bend
2582 0 A1' no symmetric stretch
2716 126 E' yes asymmetric stretch
2716 126 E' yes asymmetric stretch


There are six vibrations for BH3 and only three peaks in the IR spectrum because some vibrations do not produce an overall change in dipole moment and are therefore not IR active - the symmetric stretch is not IR active and is not seen in the spectrum. Some vibrations are degenerate (ie. have the same energies) and therefore appear as one peak in the spectrum - the two asymmetric stretches appear as one as do the two bends. Therefore only three peaks are seen in the IR spectrum.

BH3

Molecular Orbital Analysis

Although qualitative MO theory does not give a perfect representation of the real MOs, it creates a good prediction of the real MOs. For this reason, qualitative MO theory is relatively usefull in predicting real MOs, as it gives a decently accurate depiction.

Clear inclusion of the calculated MOs on to the diagram with the corresponding LCAOs. While the LCAOs are a good prediction here, it would be an improvement to consider some of the differences which do occur between the calculated and LCAO MOs (e.g. compare the contributions for the 3a' MO). Smf115 (talk) 23:45, 25 May 2019 (BST)

NH3

B3LYP/6-31G level

         Item               Value     Threshold  Converged?
 Maximum Force            0.000006     0.000450     YES
 RMS     Force            0.000004     0.000300     YES
 Maximum Displacement     0.000012     0.001800     YES
 RMS     Displacement     0.000008     0.001200     YES
Low frequencies ---   -8.5646   -8.5588   -0.0047    0.0454    0.1784   26.4183

Low frequencies --- 1089.7603 1694.1865 1694.1865


File:ABR NH3 FREQ.LOG

Total energy isː-56.55776873 a.u.

NH3

Association Energies - BH3NH3

BH3NH3

B3LYP/6-31G level

         Item               Value     Threshold  Converged?
 Maximum Force            0.000122     0.000450     YES
 RMS     Force            0.000058     0.000300     YES
 Maximum Displacement     0.000513     0.001800     YES
 RMS     Displacement     0.000296     0.001200     YES
Low frequencies ---   -0.0010   -0.0010    0.0007   18.4381   27.1658   40.5145

Low frequencies ---  266.4358  632.3947  639.7877

File:ABR BH3NH3 FREQ.LOG


Total energy isː -83.22468893 a.u.

BH3NH3


Association Energy Calculations

E(NH3)= -56.55776873 a.u.

E(BH3)= -26.61532364 a.u.

E(NH3BH3)=-83.22468893 a.u.

ΔE=E(NH3BH3)-[E(NH3)+E(BH3)]

ΔE=-83.22468893-(-56.55776873 + -26.61532364)

ΔE=-0.05159656 a.u. ie. -135.466778599 KJmol-1

This is a sensible value for a bond energy (ie. several hundred KJmol-1.

A BN covalent bond has a dissociation energy of -389±21 KJmol-1. Since the bond strength calculated here is -135.466778599 KJmol-1, this dative covalent bond is significantly weaker than the normal covalent BN bond.

Clear presentation of the respective molecular energies and correct calculation. The accuracy of your final reported energy value needs considering (nearest 1 kJmol-1) and references should always be given for literature values! Smf115 (talk) 23:48, 25 May 2019 (BST)

NI3

 Maximum Force            0.000002     0.000450     YES
 RMS     Force            0.000002     0.000300     YES
 Maximum Displacement     0.000022     0.001800     YES
 RMS     Displacement     0.000014     0.001200     YES
 Low frequencies ---  -12.5522  -12.5460   -6.0047   -0.0039    0.0191    0.0664
 Low frequencies ---  100.9969  100.9977  147.3377

File:ABR NI3 FREQ.LOG

NI3

Final optimised N-I bond distance: 2.18396 Angstrom.

Ionic Liquids Mini Project

Please note that for this section I am aware that my low frequency values are outside the desired range of ± 20-30 cm-1. I was unable to reduce these values while working with demonstrators to resolve the problem, and was told mention this in my wiki.

[N(CH3)4]+

       
 Maximum Force            0.000062     0.000450     YES
 RMS     Force            0.000025     0.000300     YES
 Maximum Displacement     0.000152     0.001800     YES
 RMS     Displacement     0.000064     0.001200     YES
   
 Low frequencies ---    0.0002    0.0010    0.0012   35.2347   35.2348   35.2348
 Low frequencies ---  218.5716  317.3185  317.3185

File:ABR NCH34 FREQ.LOG

N(CH3)4

[P(CH3)4]+

Low frequencies ---   -0.0027   -0.0025   -0.0015   50.8172   50.8172   50.8172
Low frequencies ---  186.8946  211.7454  211.7454
 Maximum Force            0.000030     0.000450     YES
 RMS     Force            0.000012     0.000300     YES
 Maximum Displacement     0.000107     0.001800     YES
 RMS     Displacement     0.000044     0.001200     YES

File:ABR PCH34 FREQ.LOG

P(CH3)4

Charge Analysis

Formal charges are a way of estimating the electron distribution of a molecule. In the traditional picture, a formal positive charge on N represents the fact that the N atom has made 4 bonds rather than its preferred 3.

You've presented the NBO charges with an equal charge range across both molecules which is good. However, your answer lacks any analysis of the distributions and you haven't really explained how the traditional formal charge arises (i.e. considering Lewis structures and formal electron counting). Smf115 (talk) 12:19, 30 May 2019 (BST)

NBO charge analysis for [P(CH3)4]+.
NBO charge analysis for [N(CH3)4]+.

Molecular Orbital Analysis

The top MO shown above is a very bonding one, the middle one is intermediate, and the bottom one is mostly antibonding.

The top MO has all constituents in the same phase, and thus there are no nodes. Thus this represents a very bonding orbital. This is MO 6

The middle MO has some antibonding interactions through space but not along bonds, and some bonding interactions through bonds. It is thus intermediate. This is MO 19

The bottom MO has antibonding interactions along bonds, ie. it has nodal planes intersecting the N-C bonds, and thus represents a fairly antibonding MO. This is MO 10.

You've had a good attempt at evaluating the overall character of the MOs and selected a good range. However, while some of the LCAOs are correct you haven't shown the formation of the corresponding ligand FOs which was a main part of the section. Smf115 (talk) 12:20, 30 May 2019 (BST)

Overall, an ok report but the project section lacks a lot of the necessary analysis. Smf115 (talk) 12:20, 30 May 2019 (BST)