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All results from a given calculation for C6H6 (Benzene)

using model chemistry: HF/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 HF/CEP-31G
 hartrees
Energy at 0K-36.319634
Energy at 298.15K-36.326325
Nuclear repulsion energy102.368860
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 HF/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 3422 3085 0.00      
2 A1g 1064 959 0.00      
3 A2g 1502 1354 0.00      
4 A2u 796 717 191.49      
5 B1u 3356 3025 0.00      
6 B1u 1085 978 0.00      
7 B2g 1159 1045 0.00      
8 B2g 773 697 0.00      
9 B2u 1392 1255 0.00      
10 B2u 1258 1134 0.00      
11 E1g 998 899 0.00      
11 E1g 998 899 0.00      
12 E1u 3403 3068 101.00      
12 E1u 3403 3068 101.00      
13 E1u 1629 1469 13.67      
13 E1u 1629 1469 13.67      
14 E1u 1136 1024 7.31      
14 E1u 1136 1024 7.31      
15 E2g 3374 3042 0.00      
15 E2g 3374 3042 0.00      
16 E2g 1783 1607 0.00      
16 E2g 1783 1607 0.00      
17 E2g 1300 1172 0.00      
17 E2g 1300 1172 0.00      
18 E2g 657 592 0.00      
18 E2g 657 592 0.00      
19 E2u 1139 1026 0.00      
19 E2u 1139 1026 0.00      
20 E2u 452 408 0.00      
20 E2u 452 408 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 23774.2 cm-1
Scaled (by 0.9014) Zero Point Vibrational Energy (zpe) 21430.1 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 HF/CEP-31G
ABC
0.18659 0.18659 0.09329

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.411 0.000
C2 1.222 0.705 0.000
C3 1.222 -0.705 0.000
C4 0.000 -1.411 0.000
C5 -1.222 -0.705 0.000
C6 -1.222 0.705 0.000
H7 0.000 2.488 0.000
H8 2.155 1.244 0.000
H9 2.155 -1.244 0.000
H10 0.000 -2.488 0.000
H11 -2.155 -1.244 0.000
H12 -2.155 1.244 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.41062.44322.82112.44321.41061.07762.16123.41913.89873.41912.1612
C21.41061.41062.44322.82112.44322.16121.07762.16123.41913.89873.4191
C32.44321.41061.41062.44322.82113.41912.16121.07762.16123.41913.8987
C42.82112.44321.41061.41062.44323.89873.41912.16121.07762.16123.4191
C52.44322.82112.44321.41061.41063.41913.89873.41912.16121.07762.1612
C61.41062.44322.82112.44321.41062.16123.41913.89873.41912.16121.0776
H71.07762.16123.41913.89873.41912.16122.48814.30964.97634.30962.4881
H82.16121.07762.16123.41913.89873.41912.48812.48814.30964.97634.3096
H93.41912.16121.07762.16123.41913.89874.30962.48812.48814.30964.9763
H103.89873.41912.16121.07762.16123.41914.97634.30962.48812.48814.3096
H113.41913.89873.41912.16121.07762.16124.30964.97634.30962.48812.4881
H122.16123.41913.89873.41912.16121.07762.48814.30964.97634.30962.4881

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

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.246      
2 C -0.246      
3 C -0.246      
4 C -0.246      
5 C -0.246      
6 C -0.246      
7 H 0.246      
8 H 0.246      
9 H 0.246      
10 H 0.246      
11 H 0.246      
12 H 0.246      


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 -31.754 0.000 0.000
y 0.000 -31.754 0.000
z 0.000 0.000 -41.172
Traceless
 xyz
x 4.709 0.000 0.000
y 0.000 4.709 0.000
z 0.000 0.000 -9.418
Polar
3z2-r2-18.837
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 10.343 0.000 0.000
y 0.000 10.343 0.000
z 0.000 0.000 3.832


<r2> (average value of r2) Å2
<r2> 106.691
(<r2>)1/2 10.329