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Rep:Mod:lxr1998

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BH3 Section

BH3 optimisation

Molecular Name BH3
Calculation Method RB3LYP
Basis Set 6-31G(d.p)
B-H bond length 1.192 Å
H-B-H bond angle 120.00
E(RB3LYP) -26.61532 a.u.
Point Group D3h


The summary table of the BH3 molecule


       Item               Value     Threshold  Converged?
Maximum Force            0.000011     0.000450     YES
RMS     Force            0.000007     0.000300     YES
Maximum Displacement     0.000042     0.001800     YES
RMS     Displacement     0.000027     0.001200     YES
Predicted change in Energy=-6.625456D-10
Optimization completed.
   -- Stationary point found.
                          ----------------------------
                          !   Optimized Parameters   !
                          ! (Angstroms and Degrees)  !
--------------------------                            --------------------------
! Name  Definition              Value          Derivative Info.                !
--------------------------------------------------------------------------------
! R1    R(1,2)                  1.1923         -DE/DX =    0.0                 !
! R2    R(1,3)                  1.1923         -DE/DX =    0.0                 !
! R3    R(1,4)                  1.1923         -DE/DX =    0.0                 !
! A1    A(2,1,3)              120.0            -DE/DX =    0.0                 !
! A2    A(2,1,4)              120.0            -DE/DX =    0.0                 !
! A3    A(3,1,4)              120.0            -DE/DX =    0.0                 !
! D1    D(2,1,4,3)            180.0            -DE/DX =    0.0                 !
--------------------------------------------------------------------------------

Vibration Analysis

Low frequencies ---   -7.5583   -1.5535   -0.0054    0.6544    6.9706    7.1416
Low frequencies --- 1162.9679 1213.1635 1213.1662
Diagonal vibrational polarizability:
       0.7180491       0.7179489       1.8415328
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 --   1162.9679              1213.1635              1213.1662
Red. masses --      1.2531                 1.1072                 1.1072
Frc consts  --      0.9986                 0.9601                 0.9601
IR Inten    --     92.5511                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
BH3 molecule

The frequency file is liked to here

wavenumber (cm-1 Intensity (arbitrary units) symmetry IR active? type
1163 93 A1 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

The only three peaks from the spectrum indicates there are three modes of vibration that can cause the change in the dipole moment. They are: out-of-plane bend and two modes of asymmetric stretch. The other three modes are not IR active because the vibrations do not change the moment dipoles.

Correct structure calculated and good consideration to the accuracy of the numbers when reporting the values in the table. It looks though like the table was copied and not changed fully from the NH3 example as the symmetries are incorrect (compare to the three caught by the screenshot above). Additionally, while your vibrational symmetry explanation is correct, it is correct for only one of the modes which are not visible and you should reconsider why the other two wouldn't appear. Smf115 (talk) 22:18, 15 May 2019 (BST)

MO Diagram

The MO diagram of the BH3 molecule

There is no significant difference between the real and LCAO MOs. The only difference is that the real orbitals combine to form more diffuse electron clouds. THerefore, the MO theory is a useful approach to study the molecules.

NH3 and NH3BH3 Section

Summary Tables

Low frequencies --- -426.8523 -426.8508 -385.8926   -0.0079   -0.0020    0.0076
Low frequencies ---  790.4012 1653.0881 1653.0884
Diagonal vibrational polarizability:
       0.1933767       0.1933782       9.3178033
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
                    A1                      E                      E
Frequencies --    790.4012              1652.8659              1652.8662
Red. masses --      1.1863                 1.0708                 1.0708
Frc consts  --      0.4367                 1.7235                 1.7235
IR Inten    --    216.3092                19.3774                19.3776
 Atom  AN      X      Y      Z        X      Y      Z        X      Y      Z
    1   7     0.00   0.00   0.12    -0.07   0.00   0.00     0.00   0.07   0.00
    2   1     0.00  -0.18  -0.54     0.77   0.00   0.00     0.00   0.13   0.23
    3   1     0.16   0.09  -0.54     0.10  -0.39   0.20     0.39  -0.55  -0.11
    4   1    -0.16   0.09  -0.54     0.10   0.39  -0.20    -0.39  -0.55  -0.11

Low frequencies ---  -13.0650   -0.0018   -0.0012   -0.0009   19.1922   42.7349
Low frequencies ---  266.2925  632.1183  638.2195
Diagonal vibrational polarizability:
       2.5469817       2.5597010       5.0173627
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
                     A                      A                      A
Frequencies --    266.2917               632.1179               638.2193
Red. masses --      1.0078                 5.0027                 1.0452
Frc consts  --      0.0421                 1.1778                 0.2508
IR Inten    --      0.0000                14.0632                 3.5640
 Atom  AN      X      Y      Z        X      Y      Z        X      Y      Z
    1   1     0.45   0.03   0.00     0.00  -0.03   0.36     0.01  -0.21   0.57
    2   1    -0.20  -0.40  -0.03     0.00  -0.03   0.37    -0.01  -0.18  -0.30
    3   1    -0.25   0.37   0.03     0.00  -0.02   0.35     0.03  -0.18  -0.31
    4   1     0.36   0.02   0.00     0.00  -0.01  -0.28     0.01  -0.14   0.45
    5   1    -0.20   0.30   0.02     0.02   0.04  -0.30     0.03  -0.12  -0.24
    6   1    -0.16  -0.33  -0.02    -0.03   0.03  -0.28    -0.01  -0.13  -0.23
    7   7     0.00   0.00   0.00     0.00  -0.02   0.36     0.00   0.05   0.00
    8   5     0.00   0.00   0.00     0.00   0.03  -0.48     0.00   0.03   0.00

You're missing the frequency log files for both calculations! Smf115 (talk) 22:25, 15 May 2019 (BST)

Association energy of NH3BH3 formation

Energy of BH3 -26.61532 a.u.
Energy of NH3 -56.55664 a.u.
Energy of NH3BH3 -83.22469 a.u.
Association energy of formation -0.05273 a.u.
Energy in kJ/mol -138 kJ/mol

The bond energy of the dative B-N bond, 138 kJ/mol, is medium compared to the strength of the normal C-C and B-H single bonds, which are around 346 and 389 kJ/mol respectively. This can be explained by the bonding is only contributed from two electrons from the nitrogen.

Nice and clear reporting of the energies of the structures. To improve you should have explicitly shown the calculation and your final answer is a little off, so seeing the calculation would help to identify where this has happened. Good comparisons used in the discussion but all literature values should be referenced! Smf115 (talk) 22:25, 15 May 2019 (BST)

NI3 Section


        Item               Value     Threshold  Converged?
Maximum Force            0.000102     0.000450     YES
RMS     Force            0.000075     0.000300     YES
Maximum Displacement     0.000667     0.001800     YES
RMS     Displacement     0.000490     0.001200     YES
Predicted change in Energy=-9.238359D-08
Optimization completed.
   -- Stationary point found.
                          ----------------------------
                          !   Optimized Parameters   !
                          ! (Angstroms and Degrees)  !
--------------------------                            --------------------------
! Name  Definition              Value          Derivative Info.                !
--------------------------------------------------------------------------------
! R1    R(1,2)                  2.1842         -DE/DX =   -0.0001              !
! R2    R(1,3)                  2.1842         -DE/DX =   -0.0001              !
! R3    R(1,4)                  2.1842         -DE/DX =   -0.0001              !
! A1    A(2,1,3)              110.8579         -DE/DX =    0.0                 !
! A2    A(2,1,4)              110.8579         -DE/DX =   -0.0001              !
! A3    A(3,1,4)              110.8579         -DE/DX =   -0.0001              !
! D1    D(2,1,4,3)            123.5674         -DE/DX =   -0.0001              !
--------------------------------------------------------------------------------
Low frequencies ---  -22.6972  -22.6939  -19.8471   -0.0037    0.0042    0.0248
Low frequencies ---  101.6652  101.6655  153.2725
NI3 molecule

The frequency file is liked to here

The N-I bond length = 2.184 Å.

Project Section: Ionic Liquid

Optimisation and frequency analysis of [N(CH3)4]+

        Item               Value     Threshold  Converged?
Maximum Force            0.000072     0.000450     YES
RMS     Force            0.000017     0.000300     YES
Maximum Displacement     0.001229     0.001800     YES
RMS     Displacement     0.000387     0.001200     YES
Predicted change in Energy=-6.447467D-08
Optimization completed.
   -- Stationary point found.
Low frequencies ---   -0.0013   -0.0010   -0.0004   35.3137   35.3137   35.3137
Low frequencies ---  217.2099  316.3451  316.3451
[N(CH3)4]+

The frequency file is liked to here

Optimisation and frequency analysis of [P(CH3)4]+

        Item               Value     Threshold  Converged?
Maximum Force            0.000139     0.000450     YES
RMS     Force            0.000033     0.000300     YES
Maximum Displacement     0.000786     0.001800     YES
RMS     Displacement     0.000303     0.001200     YES
Predicted change in Energy=-1.754803D-07
Optimization completed.
   -- Stationary point found.
Low frequencies ---   -0.0028   -0.0025   -0.0011   51.1949   51.1949   51.1950
Low frequencies ---  186.5453  211.3561  211.3561
[P(CH3)4]+

The frequency file is liked to here

Charge distribution of [N(CH3)4]+ and [P(CH3)4]+

A screenshot of the charge distribution on [N(CH3)4]+ showing by the colour charge
A screenshot of the charge distribution on [P(CH3)4]+ showing by the colour change
Molecular name [N(CH3)4]+
Charge on central N -0.295
Charge on C -0.483
Charge on H 0.269
Molecular name [P(CH3)4]+
Charge on central P 1.666
Charge on C -1.060
Charge on H 0.298

The different charge distribution on the two compounds could be explained by the different electronegativties of N and P. The small N atom is very electronegative so it carries a negative change of -0.285. Though C is less electronegative than C (electronegativity N:3.04, C:2.55), as each H is bonded to three electropositive H atoms, it carries a much larger negative charge of -0.483.

P atom is less electronegative than C (electronegativity P:2.19, C:2.55), the electron density on P-N bond is dragged towards the C. Therefore, the P carries a positive charge of 1.666. As C dragged electron density from P and H in the same time, it carries a more negative charge of -1.060.

Correct NBO charges calculated and good presentation of the charges and colour range used across both ILs. Good use of relative electronegativities to justify the charges, your answer could be improved by actually comparing the distributions between the two molecules or by considering some other effects. Also watch out for errors when discussing the atoms e.g. comparing C to C. Smf115 (talk) 18:52, 19 May 2019 (BST)

Formal charge on N representing in traditional description in [N(CH3)4]+

In the traditional description of the compound [N(CH3)4]+, the positive 1+ charge is usually positioned at the centre N atom. This positive 1+ charge indicates that the N atom losses one valence electron when forming four bonds: four of the five valence electrons involve in forming the bond and the remaining one is lost.

From the analysis of charge distribution on [N(CH3)4]+, the N carries a negative charge of -0.295 instead of +1. This is because the traditional description ignores the different abilities of different atoms to attract electrons. The electron density is not populated evenly on the molecule. The electronegative N pulls electrodensity from C towards it so it carries negative charges.

In this compound, the positive charge is located on the electropositve H atoms.

An ok discussion about the electronegativities but your explanation of the traditional picture could be clearer and utilise theories such as formal electron counting. Smf115 (talk) 18:53, 19 May 2019 (BST)

MO Diagrams of [N(CH3)4]+

The MO is overall bonding with very small anti-bonding character via space.

There is some anti-bonding character through space and the bonding character is quite strong due to better overlap.

The anti-bonding character is strong and the bonding character through space is weak in this MO.

Good range of MOs chose and your LCAOs/FOs are correct for MO 7 and 20. However, the ligand FO for MO 11 isn't correct and it might help to consider the BH3 MO diagram in relation to the CH3 which you are representing. Smf115 (talk) 20:48, 21 May 2019 (BST)

Overall, a decent report with a good project section. Smf115 (talk) 20:48, 21 May 2019 (BST)