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All results from a given calculation for C6H6 (Benzene)

using model chemistry: TPSSh/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at TPSSh/6-31G
 hartrees
Energy at 0K-232.218857
Energy at 298.15K-232.225249
HF Energy-232.218857
Nuclear repulsion energy202.541113
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 TPSSh/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 A1g 3227 3105 0.00 391.98 0.10 0.18
2 A1g 1017 979 0.00 56.59 0.12 0.21
3 A2g 1420 1366 0.00 0.00 0.75 0.86
4 A2u 705 678 114.83 0.00 0.00 0.00
5 B1u 3183 3062 0.00 0.00 0.00 0.00
6 B1u 1044 1005 0.00 0.00 0.00 0.00
7 B2g 1043 1004 0.00 0.00 0.75 0.86
8 B2g 733 705 0.00 0.00 0.75 0.86
9 B2u 1378 1325 0.00 0.00 0.00 0.00
10 B2u 1216 1170 0.00 0.00 0.00 0.00
11 E1g 886 852 0.00 5.23 0.75 0.86
11 E1g 886 852 0.00 5.23 0.75 0.86
12 E1u 3212 3091 66.26 0.00 0.00 0.00
12 E1u 3212 3091 66.27 0.00 0.00 0.00
13 E1u 1540 1481 7.87 0.00 0.00 0.00
13 E1u 1540 1481 7.87 0.00 0.00 0.00
14 E1u 1076 1035 4.05 0.00 0.00 0.00
14 E1u 1076 1035 4.04 0.00 0.00 0.00
15 E2g 3193 3072 0.00 143.41 0.75 0.86
15 E2g 3193 3072 0.00 143.48 0.75 0.86
16 E2g 1650 1588 0.00 12.36 0.75 0.86
16 E2g 1650 1588 0.00 12.36 0.75 0.86
17 E2g 1233 1186 0.00 9.18 0.75 0.86
17 E2g 1233 1186 0.00 9.19 0.75 0.86
18 E2g 629 606 0.00 3.61 0.75 0.86
18 E2g 629 606 0.00 3.61 0.75 0.86
19 E2u 1002 964 0.00 0.00 0.00 0.00
19 E2u 1002 964 0.00 0.00 0.00 0.00
20 E2u 416 400 0.00 0.00 0.00 0.00
20 E2u 416 400 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22319.3 cm-1
Scaled (by 0.9621) Zero Point Vibrational Energy (zpe) 21473.4 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 TPSSh/6-31G
ABC
0.18837 0.18837 0.09418

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.402 0.000
C2 1.214 0.701 0.000
C3 1.214 -0.701 0.000
C4 0.000 -1.402 0.000
C5 -1.214 -0.701 0.000
C6 -1.214 0.701 0.000
H7 0.000 2.488 0.000
H8 2.154 1.244 0.000
H9 2.154 -1.244 0.000
H10 0.000 -2.488 0.000
H11 -2.154 -1.244 0.000
H12 -2.154 1.244 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40222.42872.80442.42871.40221.08552.16023.41223.88993.41222.1602
C21.40221.40222.42872.80442.42872.16021.08552.16023.41223.88993.4122
C32.42871.40221.40222.42872.80443.41222.16021.08552.16023.41223.8899
C42.80442.42871.40221.40222.42873.88993.41222.16021.08552.16023.4122
C52.42872.80442.42871.40221.40223.41223.88993.41222.16021.08552.1602
C61.40222.42872.80442.42871.40222.16023.41223.88993.41222.16021.0855
H71.08552.16023.41223.88993.41222.16022.48774.30884.97544.30882.4877
H82.16021.08552.16023.41223.88993.41222.48772.48774.30884.97544.3088
H93.41222.16021.08552.16023.41223.88994.30882.48772.48774.30884.9754
H103.88993.41222.16021.08552.16023.41224.97544.30882.48772.48774.3088
H113.41223.88993.41222.16021.08552.16024.30884.97544.30882.48772.4877
H122.16023.41223.88993.41222.16021.08552.48774.30884.97544.30882.4877

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 TPSSh/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.154      
2 C -0.154      
3 C -0.154      
4 C -0.154      
5 C -0.154      
6 C -0.154      
7 H 0.154      
8 H 0.154      
9 H 0.154      
10 H 0.154      
11 H 0.154      
12 H 0.154      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.529 0.000 0.000
y 0.000 10.529 0.000
z 0.000 0.000 2.811


<r2> (average value of r2) Å2
<r2> 129.056
(<r2>)1/2 11.360