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

using model chemistry: B3PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-232.031655
Energy at 298.15K 
HF Energy-232.031655
Nuclear repulsion energy208.900852
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 B3PW91/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3237 3096 9.00      
2 A1 3125 2990 35.96      
3 A1 1656 1585 0.11      
4 A1 1198 1146 4.83      
5 A1 1049 1004 2.05      
6 A1 964 922 5.72      
7 A1 893 854 0.10      
8 A1 821 786 71.98      
9 A1 392 375 3.99      
10 A2 3202 3063 0.00      
11 A2 1309 1252 0.00      
12 A2 1214 1162 0.00      
13 A2 974 932 0.00      
14 A2 932 891 0.00      
15 A2 788 754 0.00      
16 A2 338 323 0.00      
17 B1 3233 3093 52.73      
18 B1 1629 1558 9.33      
19 B1 1227 1174 1.57      
20 B1 1113 1065 0.03      
21 B1 1018 974 0.07      
22 B1 727 695 41.72      
23 B2 3204 3065 33.29      
24 B2 3117 2982 18.46      
25 B2 1312 1255 35.87      
26 B2 1174 1123 4.96      
27 B2 965 924 3.16      
28 B2 931 891 8.28      
29 B2 843 806 9.23      
30 B2 491 469 6.16      

Unscaled Zero Point Vibrational Energy (zpe) 21537.5 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 20604.9 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 B3PW91/6-31G*
ABC
0.26273 0.14922 0.11634

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.783 0.520
C2 0.000 -0.783 0.520
H3 0.000 1.345 1.459
H4 0.000 -1.345 1.459
C5 -1.303 0.670 -0.263
C6 1.303 0.670 -0.263
C7 1.303 -0.670 -0.263
C8 -1.303 -0.670 -0.263
H9 -1.949 1.423 -0.708
H10 1.949 1.423 -0.708
H11 1.949 -1.423 -0.708
H12 -1.949 -1.423 -0.708

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56611.09412.32561.52471.52472.10292.10292.39052.39053.18923.1892
C21.56612.32561.09412.10292.10291.52471.52473.18923.18922.39052.3905
H31.09412.32562.68912.26272.26272.95322.95322.91512.91514.01874.0187
H42.32561.09412.68912.95322.95322.26272.26274.01874.01872.91512.9151
C51.52472.10292.26272.95322.60672.93061.33941.08703.36803.89292.2344
C61.52472.10292.26272.95322.60671.33942.93063.36801.08702.23443.8929
C72.10291.52472.95322.26272.93061.33942.60673.89292.23441.08703.3680
C82.10291.52472.95322.26271.33942.93062.60672.23443.89293.36801.0870
H92.39053.18922.91514.01871.08703.36803.89292.23443.89844.82642.8455
H102.39053.18922.91514.01873.36801.08702.23443.89293.89842.84554.8264
H113.18922.39054.01872.91513.89292.23441.08703.36804.82642.84553.8984
H123.18922.39054.01872.91512.23443.89293.36801.08702.84554.82643.8984

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 120.876 C1 C2 H7 85.736
C1 C2 H8 85.736 C1 C5 H8 94.264
C1 C5 H9 131.777 C1 C6 H7 94.264
C1 C6 H10 131.777 C2 C1 C3 120.876
C2 C1 C5 85.736 C2 C1 C6 85.736
C2 H7 C6 94.264 C2 H7 H11 131.777
C2 H8 C5 94.264 C2 H8 H12 131.777
C3 C1 C5 118.615 C3 C1 C6 118.615
C4 C2 H7 118.615 C4 C2 H8 118.615
C5 C1 C6 117.484 C5 H8 H12 133.855
C6 H7 H11 133.855 H7 C6 H10 133.855
H8 C5 H9 133.855
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.229      
2 C -0.229      
3 H 0.173      
4 H 0.173      
5 C -0.126      
6 C -0.126      
7 C -0.126      
8 C -0.126      
9 H 0.154      
10 H 0.154      
11 H 0.154      
12 H 0.154      


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 -0.023 0.023
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.570 0.000 0.000
y 0.000 -32.301 0.000
z 0.000 0.000 -35.316
Traceless
 xyz
x -0.761 0.000 0.000
y 0.000 2.641 0.000
z 0.000 0.000 -1.880
Polar
3z2-r2-3.760
x2-y2-2.268
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.393 0.000 0.000
y 0.000 9.224 0.000
z 0.000 0.000 5.707


<r2> (average value of r2) Å2
<r2> 118.237
(<r2>)1/2 10.874