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: HF/STO-3G

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/STO-3G
 hartrees
Energy at 0K-227.891360
Energy at 298.15K-227.897863
HF Energy-227.891360
Nuclear repulsion energy204.531640
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/STO-3G
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 3747 3060 0.00 192.01 0.12 0.21
2 A1g 1172 957 0.00 36.95 0.10 0.19
3 A2g 1595 1303 0.00 0.00 0.00 0.00
4 A2u 811 662 24.59 0.00 0.00 0.00
5 B1u 3704 3025 0.00 0.00 0.00 0.00
6 B1u 1157 945 0.00 0.00 0.00 0.00
7 B2g 1215 992 0.00 0.00 0.00 0.00
8 B2g 841 687 0.00 0.00 0.00 0.00
9 B2u 1377 1124 0.00 0.00 0.00 0.00
10 B2u 1154 942 0.00 0.00 0.00 0.00
11 E1g 1038 847 0.00 6.21 0.75 0.86
11 E1g 1038 847 0.00 6.21 0.75 0.86
12 E1u 3737 3051 8.81 0.00 0.00 0.00
12 E1u 3737 3051 8.81 0.00 0.00 0.00
13 E1u 1773 1447 15.16 0.00 0.00 0.00
13 E1u 1773 1447 15.16 0.00 0.00 0.00
14 E1u 1226 1001 0.22 0.00 0.00 0.00
14 E1u 1226 1001 0.22 0.00 0.00 0.00
15 E2g 3723 3040 0.00 75.91 0.75 0.86
15 E2g 3723 3040 0.00 75.91 0.75 0.86
16 E2g 1932 1578 0.00 21.64 0.75 0.86
16 E2g 1932 1578 0.00 21.64 0.75 0.86
17 E2g 1371 1120 0.00 12.65 0.75 0.86
17 E2g 1371 1120 0.00 12.65 0.75 0.86
18 E2g 700 572 0.00 2.30 0.75 0.86
18 E2g 700 572 0.00 2.30 0.75 0.86
19 E2u 1191 972 0.00 0.00 0.00 0.00
19 E2u 1191 972 0.00 0.00 0.00 0.00
20 E2u 478 390 0.00 0.00 0.00 0.00
20 E2u 478 390 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 25555.4 cm-1
Scaled (by 0.8165) Zero Point Vibrational Energy (zpe) 20866.0 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/STO-3G
ABC
0.19228 0.19228 0.09614

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/STO-3G

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.387 0.000
C2 1.201 0.693 0.000
C3 1.201 -0.693 0.000
C4 0.000 -1.387 0.000
C5 -1.201 -0.693 0.000
C6 -1.201 0.693 0.000
H7 0.000 2.469 0.000
H8 2.139 1.235 0.000
H9 2.139 -1.235 0.000
H10 0.000 -2.469 0.000
H11 -2.139 -1.235 0.000
H12 -2.139 1.235 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38682.40202.77362.40201.38681.08262.14403.38323.85623.38322.1440
C21.38681.38682.40202.77362.40202.14401.08262.14403.38323.85623.3832
C32.40201.38681.38682.40202.77363.38322.14401.08262.14403.38323.8562
C42.77362.40201.38681.38682.40203.85623.38322.14401.08262.14403.3832
C52.40202.77362.40201.38681.38683.38323.85623.38322.14401.08262.1440
C61.38682.40202.77362.40201.38682.14403.38323.85623.38322.14401.0826
H71.08262.14403.38323.85623.38322.14402.46944.27724.93884.27722.4694
H82.14401.08262.14403.38323.85623.38322.46942.46944.27724.93884.2772
H93.38322.14401.08262.14403.38323.85624.27722.46942.46944.27724.9388
H103.85623.38322.14401.08262.14403.38324.93884.27722.46942.46944.2772
H113.38323.85623.38322.14401.08262.14404.27724.93884.27722.46942.4694
H122.14403.38323.85623.38322.14401.08262.46944.27724.93884.27722.4694

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 HF/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.063      
2 C -0.063      
3 C -0.063      
4 C -0.063      
5 C -0.063      
6 C -0.063      
7 H 0.063      
8 H 0.063      
9 H 0.063      
10 H 0.063      
11 H 0.063      
12 H 0.063      


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 -31.230 0.000 0.000
y 0.000 -31.230 0.000
z 0.000 0.000 -35.071
Traceless
 xyz
x 1.921 0.000 0.000
y 0.000 1.921 0.000
z 0.000 0.000 -3.842
Polar
3z2-r2-7.684
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 6.697 0.000 0.000
y 0.000 6.697 0.000
z 0.000 0.000 0.868


<r2> (average value of r2) Å2
<r2> 126.130
(<r2>)1/2 11.231