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: B97D3/6-31+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 B97D3/6-31+G**
 hartrees
Energy at 0K-231.980427
Energy at 298.15K-231.986687
HF Energy-231.980427
Nuclear repulsion energy213.425410
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 B97D3/6-31+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 3205 3150 12.38      
2 A1 3166 3112 23.85      
3 A1 3146 3092 0.00      
4 A1 1575 1548 9.55      
5 A1 1389 1365 0.14      
6 A1 1182 1162 3.34      
7 A1 1094 1075 2.82      
8 A1 970 953 0.49      
9 A1 892 877 0.11      
10 A1 754 741 2.35      
11 A1 672 661 7.42      
12 A2 1095 1076 0.00      
13 A2 888 872 0.00      
14 A2 858 843 0.00      
15 A2 767 754 0.00      
16 A2 531 522 0.00      
17 B1 3143 3089 29.92      
18 B1 1097 1078 29.12      
19 B1 972 955 0.00      
20 B1 747 735 95.85      
21 B1 615 604 4.46      
22 B1 499 490 18.34      
23 B2 3180 3126 12.88      
24 B2 3151 3097 35.14      
25 B2 1310 1288 4.95      
26 B2 1246 1225 2.86      
27 B2 1189 1168 3.12      
28 B2 968 952 0.13      
29 B2 847 832 3.49      
30 B2 810 796 12.02      

Unscaled Zero Point Vibrational Energy (zpe) 20978.8 cm-1
Scaled (by 0.9828) Zero Point Vibrational Energy (zpe) 20618.0 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 B97D3/6-31+G**
ABC
0.24585 0.17474 0.12881

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.726 0.000 -1.013
C2 -0.726 0.000 -1.013
C3 0.000 1.077 -0.204
C4 0.000 -1.077 -0.204
C5 0.000 0.675 1.256
C6 0.000 -0.675 1.256
H7 1.485 0.000 -1.791
H8 -1.485 0.000 -1.791
H9 0.000 2.111 -0.545
H10 0.000 -2.111 -0.545
H11 0.000 1.359 2.099
H12 0.000 -1.359 2.099

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.45141.52991.52992.47532.47531.08742.34392.28102.28103.47243.4724
C21.45141.52991.52992.47532.47532.34391.08742.28102.28103.47243.4724
C31.52991.52992.15411.51392.28032.42572.42571.08913.20652.32033.3525
C41.52991.52992.15412.28031.51392.42572.42573.20651.08913.35252.3203
C52.47532.47531.51392.28031.35003.45573.45572.30333.31751.08622.2022
C62.47532.47532.28031.51391.35003.45573.45573.31752.30332.20221.0862
H71.08742.34392.42572.42573.45573.45572.97052.86632.86634.38014.3801
H82.34391.08742.42572.42573.45573.45572.97052.86632.86634.38014.3801
H92.28102.28101.08913.20652.30333.31752.86632.86634.22262.74904.3630
H102.28102.28103.20651.08913.31752.30332.86632.86634.22264.36302.7490
H113.47243.47242.32033.35251.08622.20224.38014.38012.74904.36302.7185
H123.47243.47243.35252.32032.20221.08624.38014.38014.36302.74902.7185

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.684 C1 C2 C4 61.684
C1 C2 H8 134.308 C1 C3 C2 56.631
C1 C3 C5 108.824 C1 C3 H9 120.200
C1 C4 C2 56.631 C1 C4 C6 108.824
C1 C4 H10 120.200 C2 C1 C3 61.684
C2 C1 C4 61.684 C2 C1 H7 134.308
C2 C3 C5 108.824 C2 C3 H9 120.200
C2 C4 C6 108.824 C2 C4 H10 120.200
C3 C1 C4 89.495 C3 C1 H7 135.201
C3 C2 C4 89.495 C3 C2 H8 135.201
C3 C5 C6 105.401 C3 C5 H11 125.552
C4 C1 H7 135.201 C4 C2 H8 135.201
C4 C6 C5 105.401 C4 C6 H12 125.552
C5 C3 H9 123.652 C5 C6 H12 129.047
C6 C4 H10 123.652 C6 C5 H11 129.047
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.106      
2 C -0.106      
3 C -0.164      
4 C -0.164      
5 C -0.131      
6 C -0.131      
7 H 0.135      
8 H 0.135      
9 H 0.132      
10 H 0.132      
11 H 0.134      
12 H 0.134      


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 -1.015 1.015
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.145 0.000 0.000
y 0.000 -32.850 0.000
z 0.000 0.000 -33.615
Traceless
 xyz
x -4.912 0.000 0.000
y 0.000 3.030 0.000
z 0.000 0.000 1.882
Polar
3z2-r23.764
x2-y2-5.295
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.904 0.000 0.000
y 0.000 9.841 0.000
z 0.000 0.000 10.056


<r2> (average value of r2) Å2
<r2> 112.052
(<r2>)1/2 10.585