return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: B3PW91/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-232.060050
Energy at 298.15K-232.066477
HF Energy-232.060050
Nuclear repulsion energy214.614922
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(2df,p)
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 3264 3138 7.39      
2 A1 3235 3110 9.50      
3 A1 3201 3078 0.89      
4 A1 1636 1573 3.69      
5 A1 1424 1369 0.18      
6 A1 1206 1160 1.91      
7 A1 1121 1078 1.79      
8 A1 994 956 0.31      
9 A1 927 891 0.00      
10 A1 775 745 2.14      
11 A1 705 677 5.89      
12 A2 1119 1076 0.00      
13 A2 915 880 0.00      
14 A2 897 862 0.00      
15 A2 797 767 0.00      
16 A2 546 525 0.00      
17 B1 3215 3090 13.25      
18 B1 1130 1087 21.73      
19 B1 1003 964 0.11      
20 B1 777 747 77.88      
21 B1 651 626 0.16      
22 B1 515 495 8.56      
23 B2 3238 3113 5.43      
24 B2 3203 3079 25.53      
25 B2 1340 1288 5.42      
26 B2 1271 1222 3.44      
27 B2 1217 1170 1.79      
28 B2 994 956 0.20      
29 B2 866 832 5.76      
30 B2 824 792 9.50      

Unscaled Zero Point Vibrational Energy (zpe) 21501.1 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 20671.2 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(2df,p)
ABC
0.24905 0.17635 0.13026

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.722 0.000 -1.010
C2 -0.722 0.000 -1.010
C3 0.000 1.070 -0.201
C4 0.000 -1.070 -0.201
C5 0.000 0.667 1.249
C6 0.000 -0.667 1.249
H7 1.483 0.000 -1.778
H8 -1.483 0.000 -1.778
H9 0.000 2.101 -0.540
H10 0.000 -2.101 -0.540
H11 0.000 1.350 2.088
H12 0.000 -1.350 2.088

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44331.52321.52322.46402.46401.08132.33462.27052.27053.45563.4556
C21.44331.52321.52322.46402.46402.33461.08132.27052.27053.45563.4556
C31.52321.52322.14061.50562.26382.41462.41461.08463.18912.30653.3315
C41.52321.52322.14062.26381.50562.41462.41463.18911.08463.33152.3065
C52.46402.46401.50562.26381.33503.43643.43642.29243.29611.08122.1848
C62.46402.46402.26381.50561.33503.43643.43643.29612.29242.18481.0812
H71.08132.33462.41462.41463.43643.43642.96612.85402.85404.35514.3551
H82.33461.08132.41462.41463.43643.43642.96612.85402.85404.35514.3551
H92.27052.27051.08463.18912.29243.29612.85402.85404.20152.73304.3373
H102.27052.27053.18911.08463.29612.29242.85402.85404.20154.33732.7330
H113.45563.45562.30653.33151.08122.18484.35514.35512.73304.33732.6997
H123.45563.45563.33152.30652.18481.08124.35514.35514.33732.73302.6997

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.721 C1 C2 C4 61.721
C1 C2 H8 134.762 C1 C3 C2 56.558
C1 C3 C5 108.876 C1 C3 H9 120.132
C1 C4 C2 56.558 C1 C4 C6 108.876
C1 C4 H10 120.132 C2 C1 C3 61.721
C2 C1 C4 61.721 C2 C1 H7 134.762
C2 C3 C5 108.876 C2 C3 H9 120.132
C2 C4 C6 108.876 C2 C4 H10 120.132
C3 C1 C4 89.281 C3 C1 H7 135.279
C3 C2 C4 89.281 C3 C2 H8 135.279
C3 C5 C6 105.518 C3 C5 H11 125.351
C4 C1 H7 135.279 C4 C2 H8 135.279
C4 C6 C5 105.518 C4 C6 H12 125.351
C5 C3 H9 123.695 C5 C6 H12 129.131
C6 C4 H10 123.695 C6 C5 H11 129.131
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.113      
2 C -0.113      
3 C -0.145      
4 C -0.145      
5 C -0.115      
6 C -0.115      
7 H 0.134      
8 H 0.134      
9 H 0.113      
10 H 0.113      
11 H 0.126      
12 H 0.126      


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 -0.843 0.843
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.425 0.000 0.000
y 0.000 -32.049 0.000
z 0.000 0.000 -32.407
Traceless
 xyz
x -4.197 0.000 0.000
y 0.000 2.367 0.000
z 0.000 0.000 1.831
Polar
3z2-r23.661
x2-y2-4.376
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.009 0.000 0.000
y 0.000 8.740 0.000
z 0.000 0.000 8.683


<r2> (average value of r2) Å2
<r2> 110.299
(<r2>)1/2 10.502