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All results from a given calculation for C6H6 (Benzene)

using model chemistry: wB97X-D/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 wB97X-D/CEP-31G
 hartrees
Energy at 0K-37.463793
Energy at 298.15K-37.470181
HF Energy-37.463793
Nuclear repulsion energy101.542806
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 wB97X-D/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 3246 3246 0.00 318.55 0.24 0.38
2 A1g 1016 1016 0.00 67.84 0.13 0.22
3 A2g 1388 1388 0.00 0.00 0.75 0.86
4 A2u 734 734 190.66 0.00 0.00 0.00
5 B1u 3183 3183 0.00 0.00 0.00 0.00
6 B1u 1000 1000 0.00 0.00 0.00 0.00
7 B2g 1069 1069 0.00 0.00 0.75 0.86
8 B2g 718 718 0.00 0.00 0.75 0.86
9 B2u 1391 1391 0.00 0.00 0.00 0.00
10 B2u 1192 1192 0.00 0.00 0.00 0.00
11 E1g 920 920 0.00 8.92 0.75 0.86
11 E1g 920 920 0.00 8.95 0.75 0.86
12 E1u 3227 3227 101.76 0.00 0.00 0.00
12 E1u 3227 3227 102.03 0.00 0.00 0.00
13 E1u 1520 1520 11.86 0.00 0.00 0.00
13 E1u 1520 1520 11.80 0.00 0.00 0.00
14 E1u 1073 1073 11.94 0.00 0.00 0.00
14 E1u 1073 1073 11.95 0.00 0.00 0.00
15 E2g 3199 3199 0.00 82.54 0.75 0.86
15 E2g 3199 3199 0.00 83.17 0.75 0.86
16 E2g 1678 1678 0.00 12.88 0.75 0.86
16 E2g 1678 1678 0.00 12.92 0.75 0.86
17 E2g 1216 1216 0.00 4.83 0.75 0.86
17 E2g 1216 1216 0.00 4.69 0.75 0.86
18 E2g 610 610 0.00 9.28 0.75 0.86
18 E2g 610 610 0.00 9.30 0.75 0.86
19 E2u 1048 1048 0.00 0.00 0.00 0.00
19 E2u 1048 1048 0.00 0.00 0.00 0.00
20 E2u 414 414 0.00 0.00 0.00 0.00
20 E2u 414 414 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22373.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22373.9 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 wB97X-D/CEP-31G
ABC
0.18382 0.18382 0.09191

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-31G

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.420 0.000
C2 1.230 0.710 0.000
C3 1.230 -0.710 0.000
C4 0.000 -1.420 0.000
C5 -1.230 -0.710 0.000
C6 -1.230 0.710 0.000
H7 0.000 2.512 0.000
H8 2.175 1.256 0.000
H9 2.175 -1.256 0.000
H10 0.000 -2.512 0.000
H11 -2.175 -1.256 0.000
H12 -2.175 1.256 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.42042.46022.84082.46021.42041.09122.18143.44873.93213.44872.1814
C21.42041.42042.46022.84082.46022.18141.09122.18143.44873.93213.4487
C32.46021.42041.42042.46022.84083.44872.18141.09122.18143.44873.9321
C42.84082.46021.42041.42042.46023.93213.44872.18141.09122.18143.4487
C52.46022.84082.46021.42041.42043.44873.93213.44872.18141.09122.1814
C61.42042.46022.84082.46021.42042.18143.44873.93213.44872.18141.0912
H71.09122.18143.44873.93213.44872.18142.51164.35035.02334.35032.5116
H82.18141.09122.18143.44873.93213.44872.51162.51164.35035.02334.3503
H93.44872.18141.09122.18143.44873.93214.35032.51162.51164.35035.0233
H103.93213.44872.18141.09122.18143.44875.02334.35032.51162.51164.3503
H113.44873.93213.44872.18141.09122.18144.35035.02334.35032.51162.5116
H122.18143.44873.93213.44872.18141.09122.51164.35035.02334.35032.5116

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 wB97X-D/CEP-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.262      
2 C -0.262      
3 C -0.262      
4 C -0.262      
5 C -0.262      
6 C -0.262      
7 H 0.262      
8 H 0.262      
9 H 0.262      
10 H 0.262      
11 H 0.262      
12 H 0.262      


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 -30.656 0.000 0.000
y 0.000 -30.656 0.000
z 0.000 0.000 -39.847
Traceless
 xyz
x 4.595 0.000 0.000
y 0.000 4.595 0.000
z 0.000 0.000 -9.191
Polar
3z2-r2-18.382
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 10.736 0.000 0.000
y 0.000 10.756 0.000
z 0.000 0.000 3.760


<r2> (average value of r2) Å2
<r2> 107.333
(<r2>)1/2 10.360