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: HSEh1PBE/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 HSEh1PBE/6-31G
 hartrees
Energy at 0K-231.794801
Energy at 298.15K-231.801328
HF Energy-231.794801
Nuclear repulsion energy213.439438
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 HSEh1PBE/6-31G
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 3310 3167 2.71      
2 A1 3301 3158 18.16      
3 A1 3258 3117 1.97      
4 A1 1651 1580 2.60      
5 A1 1418 1356 0.39      
6 A1 1217 1164 3.33      
7 A1 1143 1094 3.69      
8 A1 1021 977 0.54      
9 A1 937 896 0.00      
10 A1 798 763 9.97      
11 A1 747 715 2.63      
12 A2 1158 1107 0.00      
13 A2 960 918 0.00      
14 A2 935 894 0.00      
15 A2 786 752 0.00      
16 A2 557 532 0.00      
17 B1 3279 3137 9.55      
18 B1 1143 1093 28.74      
19 B1 1047 1001 0.47      
20 B1 788 754 104.10      
21 B1 667 639 0.01      
22 B1 528 505 14.66      
23 B2 3279 3137 8.72      
24 B2 3258 3117 17.12      
25 B2 1369 1309 7.58      
26 B2 1304 1247 0.70      
27 B2 1230 1177 3.18      
28 B2 1015 971 0.00      
29 B2 882 844 2.79      
30 B2 847 810 14.84      

Unscaled Zero Point Vibrational Energy (zpe) 21916.1 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 20964.9 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 HSEh1PBE/6-31G
ABC
0.24490 0.17487 0.12925

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.731 0.000 -1.017
C2 -0.731 0.000 -1.017
C3 0.000 1.079 -0.199
C4 0.000 -1.079 -0.199
C5 0.000 0.672 1.251
C6 0.000 -0.672 1.251
H7 1.507 0.000 -1.768
H8 -1.507 0.000 -1.768
H9 0.000 2.111 -0.526
H10 0.000 -2.111 -0.526
H11 0.000 1.352 2.090
H12 0.000 -1.352 2.090

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.46221.53871.53872.47582.47581.07902.36012.28782.28783.46713.4671
C21.46221.53871.53872.47582.47582.36011.07902.28782.28783.46713.4671
C31.53871.53872.15791.50622.27312.42762.42761.08263.20682.30603.3397
C41.53871.53872.15792.27311.50622.42762.42763.20681.08263.33972.3060
C52.47582.47581.50622.27311.34313.43953.43952.28643.30141.08092.1910
C62.47582.47582.27311.50621.34313.43953.43953.30142.28642.19101.0809
H71.07902.36012.42762.42763.43953.43953.01342.87582.87584.35684.3568
H82.36011.07902.42762.42763.43953.43953.01342.87582.87584.35684.3568
H92.28782.28781.08263.20682.28643.30142.87582.87584.22262.72384.3403
H102.28782.28783.20681.08263.30142.28642.87582.87584.22264.34032.7238
H113.46713.46712.30603.33971.08092.19104.35684.35682.72384.34032.7043
H123.46713.46713.33972.30602.19101.08094.35684.35684.34032.72382.7043

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.633 C1 C2 C4 61.633
C1 C2 H8 135.958 C1 C3 C2 56.734
C1 C3 C5 108.793 C1 C3 H9 120.563
C1 C4 C2 56.734 C1 C4 C6 108.793
C1 C4 H10 120.563 C2 C1 C3 61.633
C2 C1 C4 61.633 C2 C1 H7 135.958
C2 C3 C5 108.793 C2 C3 H9 120.563
C2 C4 C6 108.793 C2 C4 H10 120.563
C3 C1 C4 89.045 C3 C1 H7 135.324
C3 C2 C4 89.045 C3 C2 H8 135.324
C3 C5 C6 105.692 C3 C5 H11 125.283
C4 C1 H7 135.324 C4 C2 H8 135.324
C4 C6 C5 105.692 C4 C6 H12 125.283
C5 C3 H9 123.223 C5 C6 H12 129.025
C6 C4 H10 123.223 C6 C5 H11 129.025
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.093      
2 C -0.093      
3 C -0.338      
4 C -0.338      
5 C -0.069      
6 C -0.069      
7 H 0.166      
8 H 0.166      
9 H 0.168      
10 H 0.168      
11 H 0.166      
12 H 0.166      


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 -0.961 0.961
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.124 0.000 0.000
y 0.000 -32.201 0.000
z 0.000 0.000 -32.359
Traceless
 xyz
x -4.844 0.000 0.000
y 0.000 2.540 0.000
z 0.000 0.000 2.303
Polar
3z2-r24.607
x2-y2-4.923
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.487 0.000 0.000
y 0.000 8.449 0.000
z 0.000 0.000 8.117


<r2> (average value of r2) Å2
<r2> 111.285
(<r2>)1/2 10.549