return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYP/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 B3LYP/CEP-31G*
 hartrees
Energy at 0K-37.486145
Energy at 298.15K-37.492372
HF Energy-37.486145
Nuclear repulsion energy101.552389
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 B3LYP/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 3195 3085 0.00 343.44 0.22 0.36
2 A1g 1008 973 0.00 61.87 0.12 0.21
3 A2g 1345 1299 0.00 0.00 0.75 0.86
4 A2u 711 686 175.62 0.00 0.00 0.00
5 B1u 3139 3031 0.00 0.00 0.00 0.00
6 B1u 972 939 0.00 0.00 0.00 0.00
7 B2g 1017 982 0.00 0.00 0.75 0.86
8 B2g 689 665 0.00 0.00 0.75 0.86
9 B2u 1382 1334 0.00 0.00 0.00 0.00
10 B2u 1148 1109 0.00 0.00 0.00 0.00
11 E1g 879 849 0.00 9.59 0.75 0.86
11 E1g 879 849 0.00 9.58 0.75 0.86
12 E1u 3180 3071 54.52 0.00 0.00 0.00
12 E1u 3180 3071 54.55 0.00 0.00 0.00
13 E1u 1494 1442 8.13 0.00 0.00 0.00
13 E1u 1494 1442 8.13 0.00 0.00 0.00
14 E1u 1052 1016 8.03 0.00 0.00 0.00
14 E1u 1052 1016 8.03 0.00 0.00 0.00
15 E2g 3156 3048 0.00 95.75 0.75 0.86
15 E2g 3156 3048 0.00 95.77 0.75 0.86
16 E2g 1644 1588 0.00 9.96 0.75 0.86
16 E2g 1644 1588 0.00 9.96 0.75 0.86
17 E2g 1177 1136 0.00 4.54 0.75 0.86
17 E2g 1177 1136 0.00 4.54 0.75 0.86
18 E2g 592 571 0.00 8.98 0.75 0.86
18 E2g 592 571 0.00 8.98 0.75 0.86
19 E2u 997 963 0.00 0.00 0.00 0.00
19 E2u 997 963 0.00 0.00 0.00 0.00
20 E2u 403 389 0.00 0.00 0.00 0.00
20 E2u 403 389 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21875.1 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 21124.8 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 B3LYP/CEP-31G*
ABC
0.18403 0.18403 0.09202

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.419 0.000
C2 1.229 0.710 0.000
C3 1.229 -0.710 0.000
C4 0.000 -1.419 0.000
C5 -1.229 -0.710 0.000
C6 -1.229 0.710 0.000
H7 0.000 2.514 0.000
H8 2.177 1.257 0.000
H9 2.177 -1.257 0.000
H10 0.000 -2.514 0.000
H11 -2.177 -1.257 0.000
H12 -2.177 1.257 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.41912.45792.83812.45791.41911.09492.18313.44983.93303.44982.1831
C21.41911.41912.45792.83812.45792.18311.09492.18313.44983.93303.4498
C32.45791.41911.41912.45792.83813.44982.18311.09492.18313.44983.9330
C42.83812.45791.41911.41912.45793.93303.44982.18311.09492.18313.4498
C52.45792.83812.45791.41911.41913.44983.93303.44982.18311.09492.1831
C61.41912.45792.83812.45791.41912.18313.44983.93303.44982.18311.0949
H71.09492.18313.44983.93303.44982.18312.51394.35425.02784.35422.5139
H82.18311.09492.18313.44983.93303.44982.51392.51394.35425.02784.3542
H93.44982.18311.09492.18313.44983.93304.35422.51392.51394.35425.0278
H103.93303.44982.18311.09492.18313.44985.02784.35422.51392.51394.3542
H113.44983.93303.44982.18311.09492.18314.35425.02784.35422.51392.5139
H122.18313.44983.93303.44982.18311.09492.51394.35425.02784.35422.5139

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 B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.289      
2 C -0.289      
3 C -0.289      
4 C -0.289      
5 C -0.289      
6 C -0.289      
7 H 0.289      
8 H 0.289      
9 H 0.289      
10 H 0.289      
11 H 0.289      
12 H 0.289      


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 -30.538 0.000 0.000
y 0.000 -30.538 0.000
z 0.000 0.000 -39.766
Traceless
 xyz
x 4.614 0.000 0.000
y 0.000 4.614 0.000
z 0.000 0.000 -9.228
Polar
3z2-r2-18.456
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 10.904 0.000 0.000
y 0.000 10.905 0.000
z 0.000 0.000 4.103


<r2> (average value of r2) Å2
<r2> 107.243
(<r2>)1/2 10.356