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EX3

BH3

Optimisation

RB3LYP/6-31G(d,p)

         Item               Value     Threshold  Converged?
 Maximum Force            0.000004     0.000450     YES
 RMS     Force            0.000003     0.000300     YES
 Maximum Displacement     0.000017     0.001800     YES
 RMS     Displacement     0.000011     0.001200     YES
The molecular structure of BH3

Frequencies

Frequency analysis log file YQ_BH3_FREQ.LOG

 Low frequencies ---   -1.1800   -1.0028   -0.0054    4.1927   11.0182   11.0637
 Low frequencies --- 1162.9912 1213.1792 1213.1819
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
2715 126 E yes asymmetric stretch
2715 126 E yes asymmetric stretch

The number of vibrations is smaller than the vibration peaks shown on the spectrum. In one hand, one of these vibrations is symmetric so there is no change of dipole moment. This type of vibration can not be detected by the IR spectrum. On the other hand, there are vibrations that are degenerate because the symmetry makes them have the same frequency of the change in dipole moment.

MOs

The molecular orbitals (MO) of nitrogen
Shape Description
σ1s (Non-bonding Orbital)
2a'x
1e'x
1e'y (HOMO)
1a"2 (LUMO)
3a'1
2e'x
2e'y

The relative distributions of the electrons of LCAOs and real MOs have no significant differences. However, LCAO is not able to determine the precise shape of the molecular orbitals. Nevertheless, it can still predict the general appearance of the molecular orbitals with minimum calculations.

NH3

Optimisation

RB3LYP/6-31G(d,p)

         Item               Value     Threshold  Converged?
 Maximum Force            0.000005     0.000450     YES
 RMS     Force            0.000003     0.000300     YES
 Maximum Displacement     0.000010     0.001800     YES
 RMS     Displacement     0.000007     0.001200     YES
The molecular structure of NH3

Frequencies

Frequency analysis log file YQ_NH3_6_OPT_FREQ.LOG

 Low frequencies ---  -11.6527  -11.6490   -0.0048    0.0332    0.1312   25.5724
 Low frequencies --- 1089.6616 1694.1736 1694.1736
wavenumber (cm-1) Intensity (arbitrary units) symmetry IR active? type
1090 145 A yes bend
1694 14 E very slight bend
1694 14 E very slight bend
3461 1 A no symmetric stretch
3590 0 E no asymmetric stretch
3590 0 E no asymmetric stretch

The IR spectrum of the NH3 molecule

NH3BH3

Optimisation

RB3LYP/6-31G(d,p)

         Item               Value     Threshold  Converged?
 Maximum Force            0.000139     0.000450     YES
 RMS     Force            0.000063     0.000300     YES
 Maximum Displacement     0.000771     0.001800     YES
 RMS     Displacement     0.000338     0.001200     YES
The molecular structure of NH3BH3

Frequecies

Frequency analysis log file YQ_NH3BH3_631G_OPT.LOG

 Low frequencies ---   -0.0011   -0.0004    0.0009   19.0336   23.6908   42.9675
 Low frequencies ---  266.5859  632.3793  639.4649
wavenumber (cm-1) Intensity (arbitrary units) symmetry IR active? type
267 0 A no torsion
632 14 A very slight symmetric stretch
639 4 A no bend
640 4 A no bend
1069 41 A yes bend
1070 41 A yes bend
1197 109 A yes bend
1204 3 A no bend
1204 4 A no bend
1330 114 A yes bend
1676 28 A very slight bend
1676 28 A very slight bend
2470 67 A yes symmetric stretch
2530 231 A yes asymmetric stretch
2530 231 A yes asymmetric stretch
3462 3 A no symmetric stretch
3579 28 A very slight asymmetric stretch
3579 28 A very slight asymmetric stretch

Association Energy

Total energies of the reactants and the products

E(NH3)= -56.55777 a.u.

E(BH3)= -26.61532 a.u.

E(NH3BH3)= -83.22469 a.u.

The association energy of NH3BH3

ΔE = E(NH3BH3)-[E(NH3)+E(BH3)]

ΔE = (-83.22469)-[(-56.55777)+(-26.61532)]

ΔE = -0.0516 a.u.

ΔE = -135 kJ/mol

Conclusions

N-N bond strength is 159 kJ/mol which is a relatively weak bond. N-B bond strength is even weker. Therefore, the N-B bond is a weak bond.

Ng611 (talk) 23:40, 15 May 2018 (BST)Remember to cite your bond values (ideally from a textbook, databook, or paper).

BBr3

Optimisation

RB3LYP/Gen

         Item               Value     Threshold  Converged?
 Maximum Force            0.000008     0.000450     YES
 RMS     Force            0.000005     0.000300     YES
 Maximum Displacement     0.000036     0.001800     YES
 RMS     Displacement     0.000023     0.001200     YES
The molecular structure of BBr3

DOI identifier

DOI:10042/202293

Frequencies

Frequency analysis log file YikaiQianBBr3_freq.log

 Low frequencies ---   -0.0116   -0.0065   -0.0003   49.9506   49.9506   50.0315
 Low frequencies ---  144.7606  144.7640  215.6181
wavenumber (cm-1) Intensity (arbitrary units) symmetry IR active? type
145 0 E' no in-plane bend
145 0 E' no in-plane bend
216 0 A1' no symmetric stretch
407 5 A2" no out-of-plane bend
622 313 E' yes in-plane bend
622 313 E' yes in-plane bend

Lewis acids and bases

Structures of isomers

Isomers Symmetry
D2h
C2h
C2h
C1
C2v

Optimisations

Isomer1

RB3LYP/GEN

         Item               Value     Threshold  Converged?
 Maximum Force            0.000002     0.000450     YES
 RMS     Force            0.000001     0.000300     YES
 Maximum Displacement     0.000686     0.001800     YES
 RMS     Displacement     0.000361     0.001200     YES

Isomer2

RB3LYP/GEN

         Item               Value     Threshold  Converged?
 Maximum Force            0.000022     0.000450     YES
 RMS     Force            0.000008     0.000300     YES
 Maximum Displacement     0.001268     0.001800     YES
 RMS     Displacement     0.000483     0.001200     YES

Energies

The total energy of isomer 1: E1 = -2352.40631 a.u. = -6176243 kJ/mol

The total energy of isomer 2: E2 = -2352.41632 a.u. = -6176269 kJ/mol

The relative energy of the two isomers: ΔEr = E2 - E1 = -26 kJ/mol

The relative energy of isomer 2 is more negative than that of isomer 1. This means that the stability of isomer with trans terminal Br is lower. This is due to the position of the bromine atoms that gives lowest repulsive force under this trans structure.

Monomer

Optimisation

The molecular structure of AlCl2Br

RB3LYP/GEN

         Item               Value     Threshold  Converged?
 Maximum Force            0.000136     0.000450     YES
 RMS     Force            0.000073     0.000300     YES
 Maximum Displacement     0.000906     0.001800     YES
 RMS     Displacement     0.000543     0.001200     YES

Energies

The total energy of isomer 2: E2 = -2352.41632 a.u. = -6176269 kJ/mol

The total energy of monomer AlCl2Br: Emono = - 1176.19014 a.u. = - 3088087 kJ/mol

The dissociation energy of isomers 2: ΔEd = 2 * Emono - E2 = 95 kJ/mol

MOs of isomer2 by decreasing energies

MO 45

Ng611 (talk) 23:43, 15 May 2018 (BST) Whilst this looks correct, I'm not able to check the parities of your orbitals as they're not coloured so it's hard for me to know for sure.

MO 41

MO 38

Ng611 (talk) 23:46, 15 May 2018 (BST) You've gotten the main interactions right but needed to specify whether they're through space/along bond and/or directed/not directed and what this says about the strength of the overall MO.

Ng611 (talk) 23:46, 15 May 2018 (BST) A good report. Good first section. You let yourself down in the second section by not giving the frequency files and low frequency mode calculations for any of the calculations. However, your MO analysis was good, well done.