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

using model chemistry: B3PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-232.074937
Energy at 298.15K 
HF Energy-232.074937
Nuclear repulsion energy209.082323
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 B3PW91/6-311G*
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 3210 3091 10.68      
2 A1 3107 2992 41.60      
3 A1 1639 1578 0.12      
4 A1 1187 1142 5.79      
5 A1 1039 1001 2.05      
6 A1 956 921 5.59      
7 A1 884 851 0.03      
8 A1 813 783 85.05      
9 A1 389 375 5.69      
10 A2 3175 3057 0.00      
11 A2 1295 1247 0.00      
12 A2 1204 1159 0.00      
13 A2 965 929 0.00      
14 A2 927 892 0.00      
15 A2 791 761 0.00      
16 A2 339 327 0.00      
17 B1 3207 3087 53.61      
18 B1 1612 1552 10.10      
19 B1 1212 1167 1.31      
20 B1 1103 1062 0.47      
21 B1 1008 970 0.04      
22 B1 717 690 50.63      
23 B2 3177 3058 39.97      
24 B2 3100 2984 18.52      
25 B2 1300 1252 40.07      
26 B2 1163 1120 6.24      
27 B2 961 925 2.99      
28 B2 934 900 7.58      
29 B2 838 806 13.07      
30 B2 489 471 5.62      

Unscaled Zero Point Vibrational Energy (zpe) 21370.8 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 20573.7 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 B3PW91/6-311G*
ABC
0.26285 0.14955 0.11668

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.784 0.521
C2 0.000 -0.784 0.521
H3 0.000 1.345 1.459
H4 0.000 -1.345 1.459
C5 -1.301 0.668 -0.264
C6 1.301 0.668 -0.264
C7 1.301 -0.668 -0.264
C8 -1.301 -0.668 -0.264
H9 -1.947 1.419 -0.710
H10 1.947 1.419 -0.710
H11 1.947 -1.419 -0.710
H12 -1.947 -1.419 -0.710

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56791.09232.32591.52411.52412.10202.10202.38942.38943.18723.1872
C21.56792.32591.09232.10202.10201.52411.52413.18723.18722.38942.3894
H31.09232.32592.68942.26232.26232.95172.95172.91532.91534.01624.0162
H42.32591.09232.68942.95172.95172.26232.26234.01624.01622.91532.9153
C51.52412.10202.26232.95172.60222.92541.33661.08583.36323.88632.2296
C61.52412.10202.26232.95172.60221.33662.92543.36321.08582.22963.8863
C72.10201.52412.95172.26232.92541.33662.60223.88632.22961.08583.3632
C82.10201.52412.95172.26231.33662.92542.60222.22963.88633.36321.0858
H92.38943.18722.91534.01621.08583.36323.88632.22963.89384.81792.8373
H102.38943.18722.91534.01623.36321.08582.22963.88633.89382.83734.8179
H113.18722.38944.01622.91533.88632.22961.08583.36324.81792.83733.8938
H123.18722.38944.01622.91532.22963.88633.36321.08582.83734.81793.8938

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 120.889 C1 C2 H7 85.648
C1 C2 H8 85.648 C1 C5 H8 94.352
C1 C5 H9 131.831 C1 C6 H7 94.352
C1 C6 H10 131.831 C2 C1 C3 120.889
C2 C1 C5 85.648 C2 C1 C6 85.648
C2 H7 C6 94.352 C2 H7 H11 131.831
C2 H8 C5 94.352 C2 H8 H12 131.831
C3 C1 C5 118.760 C3 C1 C6 118.760
C4 C2 H7 118.760 C4 C2 H8 118.760
C5 C1 C6 117.224 C5 H8 H12 133.713
C6 H7 H11 133.713 H7 C6 H10 133.713
H8 C5 H9 133.713
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.276      
2 C -0.276      
3 H 0.221      
4 H 0.221      
5 C -0.162      
6 C -0.162      
7 C -0.162      
8 C -0.162      
9 H 0.189      
10 H 0.189      
11 H 0.189      
12 H 0.189      


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 -0.045 0.045
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.264 0.000 0.000
y 0.000 -32.654 0.000
z 0.000 0.000 -35.996
Traceless
 xyz
x -0.939 0.000 0.000
y 0.000 2.976 0.000
z 0.000 0.000 -2.037
Polar
3z2-r2-4.075
x2-y2-2.610
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.033 0.000 0.000
y 0.000 9.648 0.000
z 0.000 0.000 6.344


<r2> (average value of r2) Å2
<r2> 118.390
(<r2>)1/2 10.881