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All results from a given calculation for C6H6 (Benzene)

using model chemistry: MP2/CEP-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at MP2/CEP-31G*
 hartrees
Energy at 0K-37.111318
Energy at 298.15K-37.117500
HF Energy-36.402617
Nuclear repulsion energy101.338083
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 MP2/CEP-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 A1g 3233 3069 0.00 303.58 0.22 0.37
2 A1g 1009 957 0.00 58.10 0.12 0.22
3 A2g 1357 1288 0.00 0.00 0.51 0.68
4 A2u 715 679 180.39 0.00 0.00 0.00
5 B1u 3176 3015 0.00 0.00 0.75 0.86
6 B1u 993 943 0.00 0.00 0.00 0.00
7 B2g 924 877 0.00 0.00 0.75 0.86
8 B2g 650 617 0.00 0.00 0.75 0.86
9 B2u 1486 1411 0.00 0.00 0.75 0.86
10 B2u 1166 1107 0.00 0.00 0.75 0.86
11 E1g 862 819 0.00 9.32 0.75 0.86
11 E1g 862 819 0.00 9.32 0.75 0.86
12 E1u 3220 3057 43.02 0.00 0.75 0.86
12 E1u 3220 3057 43.02 0.00 0.74 0.85
13 E1u 1500 1425 9.07 0.00 0.75 0.86
13 E1u 1500 1425 9.07 0.00 0.67 0.80
14 E1u 1063 1009 7.78 0.00 0.75 0.85
14 E1u 1063 1009 7.78 0.00 0.75 0.86
15 E2g 3194 3032 0.00 77.98 0.75 0.86
15 E2g 3194 3032 0.00 77.98 0.75 0.86
16 E2g 1656 1572 0.00 8.22 0.75 0.86
16 E2g 1656 1572 0.00 8.22 0.75 0.86
17 E2g 1195 1135 0.00 4.20 0.75 0.86
17 E2g 1195 1135 0.00 4.20 0.75 0.86
18 E2g 594 564 0.00 8.98 0.75 0.86
18 E2g 594 564 0.00 8.98 0.75 0.86
19 E2u 936 889 0.00 0.00 0.00 0.00
19 E2u 936 889 0.00 0.00 0.00 0.00
20 E2u 404 384 0.00 0.00 0.00 0.00
20 E2u 404 384 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21978.5 cm-1
Scaled (by 0.9494) Zero Point Vibrational Energy (zpe) 20866.4 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 MP2/CEP-31G*
ABC
0.18321 0.18321 0.09161

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/CEP-31G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.422 0.000
C2 1.232 0.711 0.000
C3 1.232 -0.711 0.000
C4 0.000 -1.422 0.000
C5 -1.232 -0.711 0.000
C6 -1.232 0.711 0.000
H7 0.000 2.519 0.000
H8 2.181 1.259 0.000
H9 2.181 -1.259 0.000
H10 0.000 -2.519 0.000
H11 -2.181 -1.259 0.000
H12 -2.181 1.259 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.42242.46362.84472.46361.42241.09622.18733.45673.94103.45672.1873
C21.42241.42242.46362.84472.46362.18731.09622.18733.45673.94103.4567
C32.46361.42241.42242.46362.84473.45672.18731.09622.18733.45673.9410
C42.84472.46361.42241.42242.46363.94103.45672.18731.09622.18733.4567
C52.46362.84472.46361.42241.42243.45673.94103.45672.18731.09622.1873
C61.42242.46362.84472.46361.42242.18733.45673.94103.45672.18731.0962
H71.09622.18733.45673.94103.45672.18732.51864.36235.03724.36232.5186
H82.18731.09622.18733.45673.94103.45672.51862.51864.36235.03724.3623
H93.45672.18731.09622.18733.45673.94104.36232.51862.51864.36235.0372
H103.94103.45672.18731.09622.18733.45675.03724.36232.51862.51864.3623
H113.45673.94103.45672.18731.09622.18734.36235.03724.36232.51862.5186
H122.18733.45673.94103.45672.18731.09622.51864.36235.03724.36232.5186

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