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BH3 Molecule

Basis Set

B3LYP/6-31G(d.p.)

Summary Table

Item Table


         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


Jmol 3D Model

BH3 Molecule

Frequency Analysis

Low Frequencies Table

Low frequencies ---   -0.7437   -0.4573   -0.0054   10.8204   14.8992   14.9177
Low frequencies --- 1163.0234 1213.2008 1213.2035

Frequency Link

Frequency file: Media:R1CHIE_BH3_FREQ.LOG

Vibrational spectrum for BH3

wavenumber (cm-1 Intensity (arbitrary units) symmetry IR active? type
1163 92.5 A2 yes out-of-plane bend
1213 14.1 E yes bend
1213 14.1 E yes bend
2582 0 A1 no symmetric stretch
2715 126.3 E yes asymmetric stretch
2715 126.3 E yes symmetric stretch

IR spectrum for BH3

Questions

Q:In your wiki explain why are there less than six peaks in the spectrum, when there are obviously six vibrations.

A:Obviously, there exits six vibrational modes for BH3 but only three peaks present in IR spectrum. That is because bending modes 2 and 3 are degenerated and modes of stretching 5 and 6 are degenerated. Meanwhile, for mode 4, this vibration has no dipole moment, which means it is IR inactive. Therefore, there are only three peaks presented.

MO Diagram for BH3

Graph

Reference: http://www.huntresearchgroup.org.uk/teaching/teaching_comp_lab_year2a/Tut_MO_diagram_BH3.pdf

Questions

Q:Are there any significant differences between the real and LCAO MOs? What does this say about the accuracy and usefulness of qualitative MO theory?

A:The LCAO MOs represents the time-averaged electron distribution around an molecule but in real, it is dynamic. The LCAO MOs of occupied and non-bonding orbitals are consistent with the real orbitals but for other unoccupied orbitals, the real and LCAO MOs are not perfectly matched.

Good inclusion of the calculated MOs onto the MOs diagram with the corresponding LCAOs. The LCAOs are just a drawn approximation and aren't really 'time-averaged', additionally, it's not clear if you're then implying that the calculated MOs are dynamic? However, the MOs are calculated using DFT where the electron-electron interaction is treated as an average interaction and aren't fully dynamic either. Smf115 (talk) 09:10, 30 May 2019 (BST)

NH3 Molecule

Basis Set

B3LYP/6-31G(d.p.)

Summary Table

Item Table


         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


Jmol 3D Model

NH3 Molecule

Frequency Analysis

Low Frequencies Table

Low frequencies ---   -0.0138   -0.0032   -0.0015    7.0783    8.0932    8.0937
Low frequencies --- 1089.3840 1693.9368 1693.9368

Frequency Link

Frequency file: Media:NH3_OPT_FRQ.LOG

NH3BH3 Molecule

Basis Set

B3LYP/6-31G(d.p.)

Summary Table

Item Table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000122     0.000450     YES
 RMS     Force            0.000058     0.000300     YES
 Maximum Displacement     0.000535     0.001800     YES
 RMS     Displacement     0.000296     0.001200     YES

Jmol 3D Model

NH3BH3 Molecule

Frequency Analysis

Low Frequencies Table

Low frequencies --- -0.0252 -0.0032 0.0003 17.1228 17.1254 37.1306

Low frequencies --- 265.7808 632.2034 639.3480

Frequency Link

Frequency file: Media:NH3BH3_FRQ.LOG

Association Energy

Calculation

E(NH3)= -56.55776873 a.u.

E(BH3)= -26.61532364 a.u.

E(NH3BH3)= -83.22468890 a.u.

Therefore,

ΔE= E(NH3BH3)-[E(NH3)+E(BH3)]
  = -83.22468890-(-56.55776873-26.61532364) a.u.
  = -0.05159653 a.u. 
  = -0.05159653*2625.5 kJ/mol 
  = -135.466689515 kJ/mol

Questions

Q:Based on your energy calculation is the B-N dative bond weak, medium or strong? What comparison have you made to come to this conclusion?

A:Rested on the calculation, the B-N dative bond is weak compared to the literature value of B-N covalent bond energy 389 KJ/mol.


Correct calculation but consider the accuracy of your final reported energy value. You've made a relevant comparison but literature values should always be referenced! Smf115 (talk) 09:12, 30 May 2019 (BST)

NI3 Molecule

Basis Set

B3LYP/Gen

Summary Table

Item Table

        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

Jmol 3D Model

NI3 Molecule

Frequency Analysis

Low Frequencies Table

Low frequencies ---  -80.9103  -80.9099  -73.9230   -0.0094   -0.0087   -0.0046
Low frequencies ---  126.2130  126.2170  175.1063

Frequency Link

Frequency file: Media:NI3_OPT2_FREQUENCY.LOG

Questions

Q: What is your optimised N-I distance?

A: The optimised N-I distance is measured to be 2.03 Å.

I think something has gone wrong when implementing your pseudopotential (PP) here as the energy and bond distance aren't right. In the frequency file you've submitted you have entered the PP wrong using 'lanl2mb' as the basis set rather than the 'Gen' keyword and then specifying the input seperately. Smf115 (talk) 09:16, 30 May 2019 (BST)

Mini Project

[N(CH3)4]+ Ion

Basis Set

B3LYP/6-31G(d.p.)

Summary Table

Item Table

        Item               Value     Threshold  Converged?
Maximum Force            0.000067     0.000450     YES
RMS     Force            0.000017     0.000300     YES
Maximum Displacement     0.000284     0.001800     YES
RMS     Displacement     0.000119     0.001200     YES

Jmol 3D Model

[N(CH3)4]+ Ion

Frequency Ananlysis

Low frequencies --- -0.0005 0.0004 0.0008 22.7319 22.7319 22.731

Low frequencies --- 189.0898 292.9370 292.9370

Frequency file: Media:N(CH3)3_FRQ3.LOG

[P(CH3)4]+ Ion

Basis Set

B3LYP/6-31G(d.p.)

Summary Table

Item Table

        Item               Value     Threshold  Converged?
Maximum Force            0.000123     0.000450     YES
RMS     Force            0.000038     0.000300     YES
Maximum Displacement     0.000966     0.001800     YES
RMS     Displacement     0.000385     0.001200     YES

Jmol 3D Model

[P(CH3)4]+ Ion

Frequency Ananlysis

Low frequencies --- 0.0014 0.0014 0.0020 26.5719 26.5719 26.5719

Low frequencies --- 161.5135 195.9051 195.9051

Frequency file: Media:P_FRQ_4.LOG

Charge Distribution

The charge distribution of [N(CH3)4]+
The charge distribution of [P(CH3)4]+

In traditional pictures, the formal charge is always to be considered to be located at the center atom which as N and P respectively. However, it can be only applied to[P(CH3)4]+] ion. As for [N(CH3)4]+], rested on the highly electronegativity of nitrogen atom, the negative charge is located around N and C atoms and the H attached to the carbon are positively charged.

In [N(CH3)4]+] ion:

Charge of N = -0.295

Charge of C = -0.483

Charge of H = +0.269

In [P(CH3)4]+] ion:

Charge of P = +1.664

Charge of C = -1.060

Charge of H = +0.298


Correct NBO charges calculated and clearly presented above. However, an equal colour range should have been used across both ILs to highlight the charge distribution. Your answer also sadly lacks any real analysis of the charges and you do not explain why the +1 traditional charge is calculated on the N in the formal picture, this section should have been a lot more developed. Smf115 (talk) 16:43, 30 May 2019 (BST)

Molecular Orbitals for [N(CH3)4]+ Ion

Good attempt at constructing the FOs and LCAOs for the MOs selected. The FO for MO14 is incorrect and it might have been helpful to consider the BH3 MO diagram when trying to assign them. To improve, it would have also been good to seem the overall character of the MO identified and maybe some of the main interactions highlighted. Smf115 (talk) 16:48, 30 May 2019 (BST)


Overall, a decent attempt which could have done with more analysis in the project section. Smf115 (talk) 16:49, 30 May 2019 (BST)