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All results from a given calculation for C6H6 (Dewar Benzene)

using model chemistry: B3LYP/CEP-121G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/CEP-121G*
 hartrees
Energy at 0K-37.382241
Energy at 298.15K 
HF Energy-37.382241
Nuclear repulsion energy104.742966
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYP/CEP-121G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3181 3084 14.36 324.61 0.04 0.07
2 A1 3082 2988 54.76 168.48 0.14 0.24
3 A1 1596 1547 0.10 37.29 0.05 0.09
4 A1 1170 1135 5.10 27.74 0.14 0.25
5 A1 1028 997 1.91 13.68 0.70 0.82
6 A1 934 906 10.65 10.68 0.26 0.41
7 A1 859 832 0.08 6.32 0.72 0.83
8 A1 799 775 86.04 7.22 0.06 0.12
9 A1 383 371 5.46 10.96 0.60 0.75
10 A2 3148 3052 0.00 202.86 0.75 0.86
11 A2 1278 1239 0.00 8.19 0.75 0.86
12 A2 1193 1156 0.00 11.30 0.75 0.86
13 A2 938 909 0.00 0.54 0.75 0.86
14 A2 912 884 0.00 1.48 0.75 0.86
15 A2 783 759 0.00 2.60 0.75 0.86
16 A2 332 322 0.00 2.45 0.75 0.86
17 B1 3178 3081 64.34 78.05 0.75 0.86
18 B1 1568 1520 15.19 1.55 0.75 0.86
19 B1 1203 1167 4.30 1.93 0.75 0.86
20 B1 1087 1053 0.22 0.00 0.75 0.86
21 B1 983 953 0.82 8.90 0.75 0.86
22 B1 709 687 51.25 4.07 0.75 0.86
23 B2 3150 3053 49.15 53.12 0.75 0.86
24 B2 3074 2980 26.13 143.10 0.75 0.86
25 B2 1285 1246 37.91 0.01 0.75 0.86
26 B2 1149 1113 4.28 0.73 0.75 0.86
27 B2 943 914 7.08 0.34 0.75 0.86
28 B2 926 898 2.53 0.93 0.75 0.86
29 B2 820 795 10.22 1.26 0.75 0.86
30 B2 483 468 5.59 5.26 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21086.1 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 20440.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYP/CEP-121G*
ABC
0.25754 0.14616 0.11412

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.793 0.529
C2 0.000 -0.793 0.529
H3 0.000 1.364 1.465
H4 0.000 -1.364 1.465
C5 -1.316 0.675 -0.268
C6 1.316 0.675 -0.268
C7 1.316 -0.675 -0.268
C8 -1.316 -0.675 -0.268
H9 -1.968 1.426 -0.714
H10 1.968 1.426 -0.714
H11 1.968 -1.426 -0.714
H12 -1.968 -1.426 -0.714

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.58681.09602.35161.54331.54332.12692.12692.41232.41233.21613.2161
C21.58682.35161.09602.12692.12691.54331.54333.21613.21612.41232.4123
H31.09602.35162.72792.28252.28252.98192.98192.93702.93704.05024.0502
H42.35161.09602.72792.98192.98192.28252.28254.05024.05022.93702.9370
C51.54332.12692.28252.98192.63292.95881.34981.08983.39863.92422.2442
C61.54332.12692.28252.98192.63291.34982.95883.39861.08982.24423.9242
C72.12691.54332.98192.28252.95881.34982.63293.92422.24421.08983.3986
C82.12691.54332.98192.28251.34982.95882.63292.24423.92423.39861.0898
H92.41233.21612.93704.05021.08983.39863.92422.24423.93604.86032.8514
H102.41233.21612.93704.05023.39861.08982.24423.92423.93602.85144.8603
H113.21612.41234.05022.93703.92422.24421.08983.39864.86032.85143.9360
H123.21612.41234.05022.93702.24423.92423.39861.08982.85144.86033.9360

picture of Dewar Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 121.371 C1 C2 H7 85.598
C1 C2 H8 85.598 C1 C5 H8 94.402
C1 C5 H9 131.965 C1 C6 H7 94.402
C1 C6 H10 131.965 C2 C1 C3 121.371
C2 C1 C5 85.598 C2 C1 C6 85.598
C2 H7 C6 94.402 C2 H7 H11 131.965
C2 H8 C5 94.402 C2 H8 H12 131.965
C3 C1 C5 118.734 C3 C1 C6 118.734
C4 C2 H7 118.734 C4 C2 H8 118.734
C5 C1 C6 117.078 C5 H8 H12 133.542
C6 H7 H11 133.542 H7 C6 H10 133.542
H8 C5 H9 133.542
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.134      
2 C -0.134      
3 H 0.186      
4 H 0.186      
5 C -0.221      
6 C -0.221      
7 C -0.221      
8 C -0.221      
9 H 0.195      
10 H 0.195      
11 H 0.195      
12 H 0.195      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.050 0.050
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.722 0.000 0.000
y 0.000 -32.703 0.000
z 0.000 0.000 -36.217
Traceless
 xyz
x -1.261 0.000 0.000
y 0.000 3.266 0.000
z 0.000 0.000 -2.005
Polar
3z2-r2-4.009
x2-y2-3.018
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.701 0.000 0.000
y 0.000 10.269 0.000
z 0.000 0.000 6.879


<r2> (average value of r2) Å2
<r2> 98.901
(<r2>)1/2 9.945