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All results from a given calculation for C6H6 (Benzene)

using model chemistry: MP2=FULL/3-21G*

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=FULL/3-21G*
 hartrees
Energy at 0K-229.947747
Energy at 298.15K-229.954041
HF Energy-229.415588
Nuclear repulsion energy201.961055
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=FULL/3-21G*
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 3224 3056 0.00 302.23 0.10 0.19
2 A1g 993 941 0.00 49.03 0.12 0.21
3 A2g 1436 1361 0.00 0.00 0.00 0.00
4 A2u 685 649 122.48 0.00 0.00 0.00
5 B1u 3183 3017 0.00 0.00 0.75 0.86
6 B1u 1067 1012 0.00 0.00 0.00 0.00
7 B2g 934 886 0.00 0.00 0.75 0.86
8 B2g 678 643 0.00 0.00 0.00 0.00
9 B2u 1320 1251 0.00 0.00 0.00 0.00
10 B2u 1237 1173 0.00 0.00 0.00 0.00
11 E1g 853 809 0.00 7.31 0.75 0.86
11 E1g 853 809 0.00 7.31 0.75 0.86
12 E1u 3210 3043 30.74 0.00 0.00 0.00
12 E1u 3210 3043 30.74 0.00 0.00 0.00
13 E1u 1533 1454 11.43 0.00 0.00 0.00
13 E1u 1533 1454 11.43 0.00 0.00 0.00
14 E1u 1057 1002 3.05 0.00 0.00 0.00
14 E1u 1057 1002 3.05 0.00 0.00 0.00
15 E2g 3193 3027 0.00 113.07 0.75 0.86
15 E2g 3193 3027 0.00 113.07 0.75 0.86
16 E2g 1599 1516 0.00 12.25 0.75 0.86
16 E2g 1599 1516 0.00 12.25 0.75 0.86
17 E2g 1247 1182 0.00 7.57 0.75 0.86
17 E2g 1247 1182 0.00 7.57 0.75 0.86
18 E2g 646 612 0.00 3.38 0.75 0.86
18 E2g 646 612 0.00 3.38 0.75 0.86
19 E2u 932 884 0.00 0.00 0.00 0.00
19 E2u 932 884 0.00 0.00 0.00 0.00
20 E2u 412 391 0.00 0.00 0.00 0.00
20 E2u 412 391 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22061.0 cm-1
Scaled (by 0.948) Zero Point Vibrational Energy (zpe) 20913.8 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=FULL/3-21G*
ABC
0.18725 0.18725 0.09362

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2=FULL/3-21G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.407 0.000
C2 1.218 0.703 0.000
C3 1.218 -0.703 0.000
C4 0.000 -1.407 0.000
C5 -1.218 -0.703 0.000
C6 -1.218 0.703 0.000
H7 0.000 2.493 0.000
H8 2.159 1.247 0.000
H9 2.159 -1.247 0.000
H10 0.000 -2.493 0.000
H11 -2.159 -1.247 0.000
H12 -2.159 1.247 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40662.43642.81332.43641.40661.08682.16533.42103.90013.42102.1653
C21.40661.40662.43642.81332.43642.16531.08682.16533.42103.90013.4210
C32.43641.40661.40662.43642.81333.42102.16531.08682.16533.42103.9001
C42.81332.43641.40661.40662.43643.90013.42102.16531.08682.16533.4210
C52.43642.81332.43641.40661.40663.42103.90013.42102.16531.08682.1653
C61.40662.43642.81332.43641.40662.16533.42103.90013.42102.16531.0868
H71.08682.16533.42103.90013.42102.16532.49354.31884.98694.31882.4935
H82.16531.08682.16533.42103.90013.42102.49352.49354.31884.98694.3188
H93.42102.16531.08682.16533.42103.90014.31882.49352.49354.31884.9869
H103.90013.42102.16531.08682.16533.42104.98694.31882.49352.49354.3188
H113.42103.90013.42102.16531.08682.16534.31884.98694.31882.49352.4935
H122.16533.42103.90013.42102.16531.08682.49354.31884.98694.31882.4935

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