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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B1B95/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B1B95/6-31G*
 hartrees
Energy at 0K-232.132077
Energy at 298.15K-232.138389
HF Energy-232.132077
Nuclear repulsion energy204.054246
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 B1B95/6-31G*
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 3243 3078 0.00 372.99 0.10 0.19
2 A1g 1037 985 0.00 51.69 0.10 0.18
3 A2g 1385 1315 0.00 0.00 0.75 0.86
4 A2u 696 661 88.17 0.00 0.00 0.00
5 B1u 3207 3044 0.00 0.00 0.00 0.00
6 B1u 1012 961 0.00 0.00 0.00 0.00
7 B2g 1021 970 0.00 0.00 0.75 0.86
8 B2g 721 684 0.00 0.00 0.75 0.86
9 B2u 1390 1320 0.00 0.00 0.00 0.00
10 B2u 1186 1125 0.00 0.00 0.00 0.00
11 E1g 871 827 0.00 5.43 0.75 0.86
11 E1g 871 827 0.00 5.43 0.75 0.86
12 E1u 3233 3069 43.63 0.00 0.00 0.00
12 E1u 3233 3069 43.69 0.00 0.00 0.00
13 E1u 1541 1463 7.51 0.00 0.00 0.00
13 E1u 1541 1463 7.45 0.00 0.00 0.00
14 E1u 1084 1029 3.92 0.00 0.00 0.00
14 E1u 1084 1029 3.94 0.00 0.00 0.00
15 E2g 3217 3054 0.00 133.14 0.75 0.86
15 E2g 3217 3054 0.00 133.13 0.75 0.86
16 E2g 1687 1602 0.00 10.27 0.75 0.86
16 E2g 1687 1602 0.00 10.27 0.75 0.86
17 E2g 1212 1151 0.00 9.81 0.75 0.86
17 E2g 1212 1151 0.00 9.81 0.75 0.86
18 E2g 614 583 0.00 3.61 0.75 0.86
18 E2g 614 583 0.00 3.61 0.75 0.86
19 E2u 982 932 0.00 0.00 0.00 0.00
19 E2u 982 932 0.00 0.00 0.00 0.00
20 E2u 412 391 0.00 0.00 0.00 0.00
20 E2u 412 391 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22300.7 cm-1
Scaled (by 0.9493) Zero Point Vibrational Energy (zpe) 21170.0 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 B1B95/6-31G*
ABC
0.19137 0.19137 0.09568

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.390 0.000
C2 1.204 0.695 0.000
C3 1.204 -0.695 0.000
C4 0.000 -1.390 0.000
C5 -1.204 -0.695 0.000
C6 -1.204 0.695 0.000
H7 0.000 2.475 0.000
H8 2.143 1.237 0.000
H9 2.143 -1.237 0.000
H10 0.000 -2.475 0.000
H11 -2.143 -1.237 0.000
H12 -2.143 1.237 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39022.40782.78032.40781.39021.08472.14873.39083.86503.39082.1487
C21.39021.39022.40782.78032.40782.14871.08472.14873.39083.86503.3908
C32.40781.39021.39022.40782.78033.39082.14871.08472.14873.39083.8650
C42.78032.40781.39021.39022.40783.86503.39082.14871.08472.14873.3908
C52.40782.78032.40781.39021.39023.39083.86503.39082.14871.08472.1487
C61.39022.40782.78032.40781.39022.14873.39083.86503.39082.14871.0847
H71.08472.14873.39083.86503.39082.14872.47494.28664.94974.28662.4749
H82.14871.08472.14873.39083.86503.39082.47492.47494.28664.94974.2866
H93.39082.14871.08472.14873.39083.86504.28662.47492.47494.28664.9497
H103.86503.39082.14871.08472.14873.39084.94974.28662.47492.47494.2866
H113.39083.86503.39082.14871.08472.14874.28664.94974.28662.47492.4749
H122.14873.39083.86503.39082.14871.08472.47494.28664.94974.28662.4749

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 B1B95/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.157      
2 C -0.157      
3 C -0.157      
4 C -0.157      
5 C -0.157      
6 C -0.157      
7 H 0.157      
8 H 0.157      
9 H 0.157      
10 H 0.157      
11 H 0.157      
12 H 0.157      


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 -30.937 0.000 0.000
y 0.000 -30.937 0.000
z 0.000 0.000 -38.632
Traceless
 xyz
x 3.847 0.000 0.000
y 0.000 3.847 0.000
z 0.000 0.000 -7.695
Polar
3z2-r2-15.390
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 10.445 0.000 0.000
y 0.000 10.442 0.000
z 0.000 0.000 3.120


<r2> (average value of r2) Å2
<r2> 127.245
(<r2>)1/2 11.280