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All results from a given calculation for C6H6 (Benzene)

using model chemistry: HSEh1PBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at HSEh1PBE/6-311G*
 hartrees
Energy at 0K-232.026733
Energy at 298.15K-232.033062
HF Energy-232.026733
Nuclear repulsion energy203.984032
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/6-311G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1g 3218 3088 0.00 393.43 0.12 0.22
2 A1g 1029 987 0.00 57.16 0.09 0.17
3 A2g 1383 1327 0.00 0.00 0.75 0.86
4 A2u 687 659 126.31 0.00 0.00 0.00
5 B1u 3180 3052 0.00 0.00 0.00 0.00
6 B1u 1024 982 0.00 0.00 0.00 0.00
7 B2g 1011 970 0.00 0.00 0.75 0.86
8 B2g 725 696 0.00 0.00 0.75 0.86
9 B2u 1372 1317 0.00 0.00 0.00 0.00
10 B2u 1178 1131 0.00 0.00 0.00 0.00
11 E1g 862 827 0.00 0.77 0.75 0.86
11 E1g 862 827 0.00 0.77 0.75 0.86
12 E1u 3207 3077 50.33 0.00 0.00 0.00
12 E1u 3207 3077 50.34 0.00 0.00 0.00
13 E1u 1526 1464 9.45 0.00 0.00 0.00
13 E1u 1526 1464 9.45 0.00 0.00 0.00
14 E1u 1072 1028 6.17 0.00 0.00 0.00
14 E1u 1072 1028 6.17 0.00 0.00 0.00
15 E2g 3190 3061 0.00 138.25 0.75 0.86
15 E2g 3190 3061 0.00 138.25 0.75 0.86
16 E2g 1668 1601 0.00 8.76 0.75 0.86
16 E2g 1668 1601 0.00 8.76 0.75 0.86
17 E2g 1204 1155 0.00 6.05 0.75 0.86
17 E2g 1204 1155 0.00 6.05 0.75 0.86
18 E2g 622 596 0.00 4.05 0.75 0.86
18 E2g 622 596 0.00 4.05 0.75 0.86
19 E2u 972 932 0.00 0.00 0.00 0.00
19 E2u 972 932 0.00 0.00 0.00 0.00
20 E2u 412 396 0.00 0.00 0.00 0.00
20 E2u 412 396 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22136.3 cm-1
Scaled (by 0.9596) Zero Point Vibrational Energy (zpe) 21242.0 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 HSEh1PBE/6-311G*
ABC
0.19125 0.19125 0.09563

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.390 0.000
C2 1.204 0.695 0.000
C3 1.204 -0.695 0.000
C4 0.000 -1.390 0.000
C5 -1.204 -0.695 0.000
C6 -1.204 0.695 0.000
H7 0.000 2.476 0.000
H8 2.144 1.238 0.000
H9 2.144 -1.238 0.000
H10 0.000 -2.476 0.000
H11 -2.144 -1.238 0.000
H12 -2.144 1.238 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39052.40842.78102.40841.39051.08582.14993.39243.86673.39242.1499
C21.39051.39052.40842.78092.40842.14991.08582.14993.39243.86673.3924
C32.40841.39051.39052.40842.78093.39242.14991.08582.14993.39243.8667
C42.78102.40841.39051.39052.40843.86673.39242.14991.08582.14993.3924
C52.40842.78092.40841.39051.39053.39243.86673.39242.14991.08582.1499
C61.39052.40842.78092.40841.39052.14993.39243.86673.39242.14991.0858
H71.08582.14993.39243.86673.39242.14992.47624.28904.95254.28902.4762
H82.14991.08582.14993.39243.86673.39242.47622.47624.28904.95254.2890
H93.39242.14991.08582.14993.39243.86674.28902.47622.47624.28904.9525
H103.86673.39242.14991.08582.14993.39244.95254.28902.47622.47624.2890
H113.39243.86673.39242.14991.08582.14994.28904.95254.28902.47622.4762
H122.14993.39243.86673.39242.14991.08582.47624.28904.95254.28902.4762

picture of Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.000 C1 C2 H8 120.000
C1 C6 C5 120.000 C1 C6 H12 120.000
C2 C1 C6 120.000 C2 C1 H7 120.000
C2 C3 C4 120.000 C2 C3 H9 120.000
C3 C2 H8 120.000 C3 C4 C5 120.000
C3 C4 H10 120.000 C4 C3 H9 120.000
C4 C5 C6 120.000 C4 C5 H11 120.000
C5 C4 H10 120.000 C5 C6 H12 120.000
C6 C1 H7 120.000 C6 C5 H11 120.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.204      
2 C -0.204      
3 C -0.204      
4 C -0.204      
5 C -0.204      
6 C -0.204      
7 H 0.204      
8 H 0.204      
9 H 0.204      
10 H 0.204      
11 H 0.204      
12 H 0.204      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.221 0.000 0.000
y 0.000 -31.221 0.000
z 0.000 0.000 -39.894
Traceless
 xyz
x 4.337 0.000 0.000
y 0.000 4.337 0.000
z 0.000 0.000 -8.673
Polar
3z2-r2-17.346
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.889 0.000 0.000
y 0.000 10.889 0.000
z 0.000 0.000 4.071


<r2> (average value of r2) Å2
<r2> 127.699
(<r2>)1/2 11.300