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All results from a given calculation for C6H6 (Benzene)

using model chemistry: PBE1PBE/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 PBE1PBE/6-31G*
 hartrees
Energy at 0K-231.964093
Energy at 298.15K-231.970411
HF Energy-231.964093
Nuclear repulsion energy203.652165
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 PBE1PBE/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 3239 3078 0.00 369.81 0.10 0.19
2 A1g 1036 985 0.00 51.88 0.10 0.18
3 A2g 1385 1316 0.00 0.00 0.75 0.86
4 A2u 695 660 94.42 0.00 0.00 0.00
5 B1u 3203 3044 0.00 0.00 0.00 0.00
6 B1u 1018 967 0.00 0.00 0.00 0.00
7 B2g 1019 968 0.00 0.00 0.75 0.86
8 B2g 723 687 0.00 0.00 0.75 0.86
9 B2u 1389 1320 0.00 0.00 0.00 0.00
10 B2u 1186 1127 0.00 0.00 0.00 0.00
11 E1g 870 826 0.00 4.92 0.75 0.86
11 E1g 870 826 0.00 4.92 0.75 0.86
12 E1u 3229 3068 39.94 0.00 0.00 0.00
12 E1u 3229 3068 39.94 0.00 0.00 0.00
13 E1u 1537 1461 8.18 0.00 0.00 0.00
13 E1u 1537 1461 8.19 0.00 0.00 0.00
14 E1u 1080 1026 4.54 0.00 0.00 0.00
14 E1u 1080 1026 4.54 0.00 0.00 0.00
15 E2g 3213 3053 0.00 131.20 0.75 0.86
15 E2g 3213 3053 0.00 131.21 0.75 0.86
16 E2g 1682 1598 0.00 10.40 0.75 0.86
16 E2g 1682 1598 0.00 10.40 0.75 0.86
17 E2g 1211 1151 0.00 9.39 0.75 0.86
17 E2g 1211 1151 0.00 9.39 0.75 0.86
18 E2g 619 589 0.00 3.59 0.75 0.86
18 E2g 619 589 0.00 3.59 0.75 0.86
19 E2u 979 931 0.00 0.00 0.00 0.00
19 E2u 979 931 0.00 0.00 0.00 0.00
20 E2u 413 393 0.00 0.00 0.00 0.00
20 E2u 413 393 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22278.5 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 21171.2 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 PBE1PBE/6-31G*
ABC
0.19062 0.19062 0.09531

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.393 0.000
C2 1.206 0.696 0.000
C3 1.206 -0.696 0.000
C4 0.000 -1.393 0.000
C5 -1.206 -0.696 0.000
C6 -1.206 0.696 0.000
H7 0.000 2.480 0.000
H8 2.148 1.240 0.000
H9 2.148 -1.240 0.000
H10 0.000 -2.480 0.000
H11 -2.148 -1.240 0.000
H12 -2.148 1.240 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39292.41252.78572.41251.39291.08702.15303.39763.87273.39762.1530
C21.39291.39292.41252.78572.41252.15301.08702.15303.39763.87273.3976
C32.41251.39291.39292.41252.78573.39762.15301.08702.15303.39763.8727
C42.78572.41251.39291.39292.41253.87273.39762.15301.08702.15303.3976
C52.41252.78572.41251.39291.39293.39763.87273.39762.15301.08702.1530
C61.39292.41252.78572.41251.39292.15303.39763.87273.39762.15301.0870
H71.08702.15303.39763.87273.39762.15302.47984.29524.95964.29522.4798
H82.15301.08702.15303.39763.87273.39762.47982.47984.29524.95964.2952
H93.39762.15301.08702.15303.39763.87274.29522.47982.47984.29524.9596
H103.87273.39762.15301.08702.15303.39764.95964.29522.47982.47984.2952
H113.39763.87273.39762.15301.08702.15304.29524.95964.29522.47982.4798
H122.15303.39763.87273.39762.15301.08702.47984.29524.95964.29522.4798

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 PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.169      
2 C -0.169      
3 C -0.169      
4 C -0.169      
5 C -0.169      
6 C -0.169      
7 H 0.169      
8 H 0.169      
9 H 0.169      
10 H 0.169      
11 H 0.169      
12 H 0.169      


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 -30.882 0.000 0.000
y 0.000 -30.882 0.000
z 0.000 0.000 -38.865
Traceless
 xyz
x 3.991 0.000 0.000
y 0.000 3.991 0.000
z 0.000 0.000 -7.983
Polar
3z2-r2-15.965
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 10.474 0.000 0.000
y 0.000 10.474 0.000
z 0.000 0.000 3.136


<r2> (average value of r2) Å2
<r2> 127.691
(<r2>)1/2 11.300