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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-232.093063
Energy at 298.15K-232.099517
HF Energy-232.093063
Nuclear repulsion energy214.683750
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 mPW1PW91/6-31+G**
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 3289 3130 6.56      
2 A1 3261 3104 8.89      
3 A1 3228 3072 1.06      
4 A1 1645 1566 8.21      
5 A1 1440 1370 0.04      
6 A1 1216 1158 3.87      
7 A1 1126 1072 3.55      
8 A1 1002 954 0.51      
9 A1 934 889 0.19      
10 A1 779 741 3.74      
11 A1 703 669 6.68      
12 A2 1135 1080 0.00      
13 A2 931 886 0.00      
14 A2 908 865 0.00      
15 A2 806 767 0.00      
16 A2 548 522 0.00      
17 B1 3241 3085 13.85      
18 B1 1138 1083 28.55      
19 B1 1012 963 0.19      
20 B1 782 744 108.26      
21 B1 652 621 4.36      
22 B1 516 491 16.88      
23 B2 3264 3107 5.49      
24 B2 3230 3074 24.22      
25 B2 1356 1291 5.67      
26 B2 1292 1229 4.44      
27 B2 1232 1173 2.23      
28 B2 1005 956 0.11      
29 B2 873 831 8.16      
30 B2 830 790 9.75      

Unscaled Zero Point Vibrational Energy (zpe) 21685.3 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 20640.0 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 mPW1PW91/6-31+G**
ABC
0.24885 0.17670 0.13044

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.723 0.000 -1.007
C2 -0.723 0.000 -1.007
C3 0.000 1.070 -0.203
C4 0.000 -1.070 -0.203
C5 0.000 0.669 1.248
C6 0.000 -0.669 1.248
H7 1.480 0.000 -1.779
H8 -1.480 0.000 -1.779
H9 0.000 2.101 -0.540
H10 0.000 -2.101 -0.540
H11 0.000 1.349 2.089
H12 0.000 -1.349 2.089

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44561.52091.52092.46052.46051.08182.33472.27002.27003.45353.4535
C21.44561.52091.52092.46052.46052.33471.08182.27002.27003.45353.4535
C31.52091.52092.13971.50512.26492.41252.41251.08443.18832.30903.3322
C41.52091.52092.13972.26491.50512.41252.41253.18831.08443.33222.3090
C52.46052.46051.50512.26491.33873.43533.43532.29023.29681.08142.1866
C62.46052.46052.26491.50511.33873.43533.43533.29682.29022.18661.0814
H71.08182.33472.41252.41253.43533.43532.96102.85292.85294.35584.3558
H82.33471.08182.41252.41253.43533.43532.96102.85292.85294.35584.3558
H92.27002.27001.08443.18832.29023.29682.85292.85294.20112.73444.3372
H102.27002.27003.18831.08443.29682.29022.85292.85294.20114.33722.7344
H113.45353.45352.30903.33221.08142.18664.35584.35582.73444.33722.6978
H123.45353.45353.33222.30902.18661.08144.35584.35584.33722.73442.6978

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.624 C1 C2 C4 61.624
C1 C2 H8 134.458 C1 C3 C2 56.752
C1 C3 C5 108.801 C1 C3 H9 120.287
C1 C4 C2 56.752 C1 C4 C6 108.801
C1 C4 H10 120.287 C2 C1 C3 61.624
C2 C1 C4 61.624 C2 C1 H7 134.458
C2 C3 C5 108.801 C2 C3 H9 120.287
C2 C4 C6 108.801 C2 C4 H10 120.287
C3 C1 C4 89.405 C3 C1 H7 135.242
C3 C2 C4 89.405 C3 C2 H8 135.242
C3 C5 C6 105.432 C3 C5 H11 125.638
C4 C1 H7 135.242 C4 C2 H8 135.242
C4 C6 C5 105.432 C4 C6 H12 125.638
C5 C3 H9 123.539 C5 C6 H12 128.931
C6 C4 H10 123.539 C6 C5 H11 128.931
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.135      
2 C -0.135      
3 C -0.177      
4 C -0.177      
5 C -0.159      
6 C -0.159      
7 H 0.157      
8 H 0.157      
9 H 0.155      
10 H 0.155      
11 H 0.158      
12 H 0.158      


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 -1.014 1.014
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.894 0.000 0.000
y 0.000 -32.468 0.000
z 0.000 0.000 -33.150
Traceless
 xyz
x -5.085 0.000 0.000
y 0.000 3.054 0.000
z 0.000 0.000 2.031
Polar
3z2-r24.062
x2-y2-5.426
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.459 0.000 0.000
y 0.000 9.440 0.000
z 0.000 0.000 9.428


<r2> (average value of r2) Å2
<r2> 110.763
(<r2>)1/2 10.524