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: B2PLYP/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B2PLYP/6-311G**
 hartrees
Energy at 0K-232.053210
Energy at 298.15K-232.059490
HF Energy-231.778821
Nuclear repulsion energy203.412243
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 B2PLYP/6-311G**
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 3216 3216 0.00 405.45 0.13 0.23
2 A1g 1013 1013 0.00 58.57 0.09 0.17
3 A2g 1383 1383 0.00 0.00 0.75 0.86
4 A2u 687 687 112.12 0.00 0.00 0.00
5 B1u 3180 3180 0.00 0.00 0.00 0.00
6 B1u 1020 1020 0.00 0.00 0.00 0.00
7 B2g 966 966 0.00 0.00 0.75 0.86
8 B2g 659 659 0.00 0.00 0.75 0.86
9 B2u 1359 1359 0.00 0.00 0.00 0.00
10 B2u 1177 1177 0.00 0.00 0.00 0.00
11 E1g 858 858 0.00 0.90 0.75 0.86
11 E1g 858 858 0.00 0.90 0.75 0.86
12 E1u 3206 3206 40.69 0.00 0.00 0.00
12 E1u 3206 3206 40.70 0.00 0.00 0.00
13 E1u 1516 1516 8.92 0.00 0.00 0.00
13 E1u 1516 1516 8.92 0.00 0.00 0.00
14 E1u 1062 1062 4.72 0.00 0.00 0.00
14 E1u 1062 1062 4.72 0.00 0.00 0.00
15 E2g 3190 3190 0.00 141.89 0.75 0.86
15 E2g 3190 3190 0.00 141.90 0.75 0.86
16 E2g 1642 1642 0.00 9.32 0.75 0.86
16 E2g 1642 1642 0.00 9.32 0.75 0.86
17 E2g 1201 1201 0.00 6.57 0.75 0.86
17 E2g 1201 1201 0.00 6.57 0.75 0.86
18 E2g 620 620 0.00 3.96 0.75 0.86
18 E2g 620 620 0.00 3.96 0.75 0.86
19 E2u 959 959 0.00 0.00 0.00 0.00
19 E2u 959 959 0.00 0.00 0.00 0.00
20 E2u 406 406 0.00 0.00 0.00 0.00
20 E2u 406 406 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21989.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21989.5 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 B2PLYP/6-311G**
ABC
0.19006 0.19006 0.09503

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311G**

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.396 0.000
C2 1.209 0.698 0.000
C3 1.209 -0.698 0.000
C4 0.000 -1.396 0.000
C5 -1.209 -0.698 0.000
C6 -1.209 0.698 0.000
H7 0.000 2.479 0.000
H8 2.147 1.240 0.000
H9 2.147 -1.240 0.000
H10 0.000 -2.479 0.000
H11 -2.147 -1.240 0.000
H12 -2.147 1.240 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39552.41712.79102.41711.39551.08392.15293.39923.87493.39922.1529
C21.39551.39552.41712.79102.41712.15291.08392.15293.39923.87493.3992
C32.41711.39551.39552.41712.79103.39922.15291.08392.15293.39923.8749
C42.79102.41711.39551.39552.41713.87493.39922.15291.08392.15293.3992
C52.41712.79102.41711.39551.39553.39923.87493.39922.15291.08392.1529
C61.39552.41712.79102.41711.39552.15293.39923.87493.39922.15291.0839
H71.08392.15293.39923.87493.39922.15292.47944.29444.95884.29442.4794
H82.15291.08392.15293.39923.87493.39922.47942.47944.29444.95884.2944
H93.39922.15291.08392.15293.39923.87494.29442.47942.47944.29444.9588
H103.87493.39922.15291.08392.15293.39924.95884.29442.47942.47944.2944
H113.39923.87493.39922.15291.08392.15294.29444.95884.29442.47942.4794
H122.15293.39923.87493.39922.15291.08392.47944.29444.95884.29442.4794

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 B2PLYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.096      
2 C -0.096      
3 C -0.096      
4 C -0.096      
5 C -0.096      
6 C -0.096      
7 H 0.096      
8 H 0.096      
9 H 0.096      
10 H 0.096      
11 H 0.096      
12 H 0.096      


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 -31.975 0.000 0.000
y 0.000 -31.975 0.000
z 0.000 0.000 -39.816
Traceless
 xyz
x 3.921 0.000 0.000
y 0.000 3.921 0.000
z 0.000 0.000 -7.841
Polar
3z2-r2-15.682
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 10.976 0.000 0.000
y 0.000 10.976 0.000
z 0.000 0.000 4.152


<r2> (average value of r2) Å2
<r2> 128.596
(<r2>)1/2 11.340