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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-232.275024
Energy at 298.15K-232.281317
HF Energy-232.275024
Nuclear repulsion energy203.077540
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 3210 3077 0.00 409.89 0.10 0.19
2 A1g 1016 974 0.00 54.37 0.10 0.18
3 A2g 1382 1325 0.00 0.00 0.75 0.86
4 A2u 692 663 83.88 0.00 0.00 0.00
5 B1u 3172 3041 0.00 0.00 0.00 0.00
6 B1u 1013 971 0.00 0.00 0.00 0.00
7 B2g 1010 969 0.00 0.00 0.75 0.86
8 B2g 713 683 0.00 0.00 0.75 0.86
9 B2u 1369 1313 0.00 0.00 0.00 0.00
10 B2u 1179 1131 0.00 0.00 0.00 0.00
11 E1g 864 829 0.00 5.69 0.75 0.86
11 E1g 864 829 0.00 5.69 0.75 0.86
12 E1u 3198 3066 56.36 0.00 0.00 0.00
12 E1u 3198 3066 56.37 0.00 0.00 0.00
13 E1u 1524 1461 6.13 0.00 0.00 0.00
13 E1u 1524 1461 6.14 0.00 0.00 0.00
14 E1u 1067 1023 3.54 0.00 0.00 0.00
14 E1u 1067 1023 3.54 0.00 0.00 0.00
15 E2g 3182 3050 0.00 147.87 0.75 0.86
15 E2g 3182 3050 0.00 147.94 0.75 0.86
16 E2g 1650 1582 0.00 11.32 0.75 0.86
16 E2g 1650 1582 0.00 11.32 0.75 0.86
17 E2g 1204 1155 0.00 9.93 0.75 0.86
17 E2g 1204 1155 0.00 9.93 0.75 0.86
18 E2g 610 585 0.00 3.53 0.75 0.86
18 E2g 610 585 0.00 3.53 0.75 0.86
19 E2u 974 934 0.00 0.00 0.00 0.00
19 E2u 974 934 0.00 0.00 0.00 0.00
20 E2u 408 391 0.00 0.00 0.00 0.00
20 E2u 408 391 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22060.3 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 21149.3 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
0.18946 0.18946 0.09473

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 1.398 0.000
C2 1.210 0.699 0.000
C3 1.210 -0.699 0.000
C4 0.000 -1.398 0.000
C5 -1.210 -0.699 0.000
C6 -1.210 0.699 0.000
H7 0.000 2.484 0.000
H8 2.151 1.242 0.000
H9 2.151 -1.242 0.000
H10 0.000 -2.484 0.000
H11 -2.151 -1.242 0.000
H12 -2.151 1.242 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39772.42082.79532.42081.39771.08632.15683.40523.88163.40522.1568
C21.39771.39772.42082.79532.42082.15681.08632.15683.40523.88163.4052
C32.42081.39771.39772.42082.79533.40522.15681.08632.15683.40523.8816
C42.79532.42081.39771.39772.42083.88163.40522.15681.08632.15683.4052
C52.42082.79532.42081.39771.39773.40523.88163.40522.15681.08632.1568
C61.39772.42082.79532.42081.39772.15683.40523.88163.40522.15681.0863
H71.08632.15683.40523.88163.40522.15682.48404.30244.96804.30242.4840
H82.15681.08632.15683.40523.88163.40522.48402.48404.30244.96804.3024
H93.40522.15681.08632.15683.40523.88164.30242.48402.48404.30244.9680
H103.88163.40522.15681.08632.15683.40524.96804.30242.48402.48404.3024
H113.40523.88163.40522.15681.08632.15684.30244.96804.30242.48402.4840
H122.15683.40523.88163.40522.15681.08632.48404.30244.96804.30242.4840

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 -0.117      
2 C -0.117      
3 C -0.117      
4 C -0.117      
5 C -0.117      
6 C -0.117      
7 H 0.117      
8 H 0.117      
9 H 0.117      
10 H 0.117      
11 H 0.117      
12 H 0.117      


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 10.708 0.000 0.000
y 0.000 10.709 0.000
z 0.000 0.000 3.203


<r2> (average value of r2) Å2
<r2> 128.350
(<r2>)1/2 11.329