Leeryan

BH_{3 Molecule}

Calculation Data

Name of submitted log file	BH3_OPTIMISATION_RL.LOG
Molecule	BH3
Method	RB3LYP
Basis Set	6-31(d,p)
Final Energy	-26.615324
RMS Gradient	0.000002
Point Group	D3H

Item Table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000004     0.000015     YES
 RMS     Force            0.000003     0.000010     YES
 Maximum Displacement     0.000017     0.000060     YES
 RMS     Displacement     0.000011     0.000040     YES

Optimised Molecule Image

Jmol Rotatable Molecule

logfile: Media:BH3_OPTIMISATION_RL.LOG

Optimised NH Molecule

Important Geometric Parameters

Optimised bond distance and angle for NH₃
r(N-H)= 1.192Â
θ(H-N-H)= 119.9°

Vibrational Modes

 Low frequencies ---  -11.6940  -11.6861   -6.5543    0.0007    0.0280    0.4289
 Low frequencies --- 1162.9745 1213.1390 1213.1392

Mode	1	2	3	4	5	6
Wavenumber (cm-1)	1163	1213	1213	2583	2716	2716
Symmetry	A2"	E'	E'	A1'	E'	E'
Intensity	93	14	14	0	126	126

NH₃ Molecule

Calculation Data

Name of submitted log file	RL_nh3_optf_pop.log
Molecule	NH3
Method	RB3LYP
Basis Set	6-31G(d, p)
Final Energy	-56.557769
RMS Gradient	0.000000
Point Group	C3v

Item Table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000000     0.000015     YES
 RMS     Force            0.000000     0.000010     YES
 Maximum Displacement     0.000003     0.000060     YES
 RMS     Displacement     0.000001     0.000040     YES

Optimised Molecule Image

Jmol Rotatable Molecule

logfile: Media:RL_nh3_optf_pop.log

Optimised NH Molecule

Important Geometric Parameters

Optimised bond distance and angle for NH₃
r(N-H)= 1.2Â
θ(H-N-H)= 106°

Vibrational Modes

 Low frequencies ---   -5.6864   -3.6131   -3.6124   -0.0012    0.0045    0.0163
 Low frequencies --- 1089.3674 1693.9284 1693.9284

Mode	1	2	3	4	5	6
Wavenumber (cm-1)	1089	1694	1694	3461	3590	3590
Symmetry	A1	E	E	A1	E	E
Intensity	145	14	14	1	0	0

IR Spectrum

Atomic Charges

Atom	Charge (e)
N	-1.125
H1	0.375
H2	0.375
H3	0.375

Project Molecule: cis-N₂F₂

Calculation Data

Name of submitted log file	leeryan_n2f2_optf.log
Molecule	N2F2
Method	RB3LYP
Basis Set	6-31G(d, p)
Final Energy	-309.012413
RMS Gradient	0.000000
Point Group	C2v

logfile: Media:LEERYAN_N2F2_OPTF.LOG

Item Table

         Item               Value     Threshold  Converged?
 Maximum Force            0.000001     0.000015     YES
 RMS     Force            0.000000     0.000010     YES
 Maximum Displacement     0.000001     0.000060     YES
 RMS     Displacement     0.000001     0.000040     YES

The item table shows that value(s) have converged and the optimisation was successful.

Optimised Molecule Image

Jmol Rotatable Molecule

Optimised NF Molecule

Important Geometric Parameters

Optimised bond distance and angle for N₂F₂
r(N-N)= 1.2Â
r(N-F)= 1.4Â
θ(N-N-F)= 114°

Vibrational Modes

 Low frequencies ---    0.0008    0.0016    0.0019    3.2233    4.3533    5.0998
 Low frequencies ---  347.8772  561.2472  771.6105

All low frequencies in the first row are less than 20, which indicates that the optimisation was successful.

Mode	1	2	3	4	5	6
Wavenumber (cm-1)	348	561	772	949	987	1637
Symmetry	A1	A2	B2	A1	B2	A1
Intensity	0	15	75	75	81	21

IR Spectrum

Atomic Charges

Atom	Charge (e)
N1	0.215
N2	0.215
F1	-0.215
F2	-0.215

Questions about N₂F₂

1. Why does the visualisation from the .log file not show N-F bonds?

This is likely an 'error' imposed from the Gaussian program, as the distance between of 1.4Â is a reasonable bond length. During optimisation, whether the bond actually exists is not necessarily considered, so longer bonds within the molecule might not be visualized correctly when viewing the .log file.

2. How many vibrations are expected from the 3N - 6 rule?

There are four atoms (2 N and 2 F), so: (3 × 4) - 6 = 12 - 6 = 6. There are six vibrations expected.

3. Why are only 4 peaks visible in the IR spectrum?

cis-N₂F₂ is highly symmetrical, so some specific vibrational modes do not have an overall dipole moment. The vibrational modes calculated at 348 cm<sup)-1 and 561 cm^-1 have low intensity on an IR because of their low overall dipole moment.

4. Which vibration is the asymmetric N-F stretch?

The vibration at 949 cm^-1 is the asymmetric N-F stretch.

5. What is the nature of the highest energy vibration?

The highest energy vibration at 1637 cm^-1 is the N=N stretch.

6. Which molecular orbitals are core MOs?

The core molecular orbitals are MOs 1, 2, 3 and 4.

7. Provide a picture of MO9 and draw an LCAO diagram.

Molecular orbital 9:

LCAO diagram: