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All results from a given calculation for C6H6 (Benzene)

using model chemistry: BLYP/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 BLYP/6-31G**
 hartrees
Energy at 0K-232.141764
Energy at 298.15K-232.147942
HF Energy-232.141764
Nuclear repulsion energy201.802653
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 BLYP/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 3124 3100 0.00 400.71 0.10 0.19
2 A1g 986 978 0.00 53.13 0.10 0.18
3 A2g 1342 1332 0.00 0.00 0.75 0.86
4 A2u 674 669 63.48 0.00 0.00 0.00
5 B1u 3088 3065 0.00 0.00 0.00 0.00
6 B1u 991 983 0.00 0.00 0.00 0.00
7 B2g 974 966 0.00 0.00 0.75 0.86
8 B2g 696 690 0.00 0.00 0.75 0.86
9 B2u 1327 1317 0.00 0.00 0.00 0.00
10 B2u 1154 1145 0.00 0.00 0.00 0.00
11 E1g 835 829 0.00 7.66 0.75 0.86
11 E1g 835 829 0.00 7.66 0.75 0.86
12 E1u 3113 3090 55.86 0.00 0.00 0.00
12 E1u 3113 3090 55.86 0.00 0.00 0.00
13 E1u 1479 1468 4.61 0.00 0.00 0.00
13 E1u 1479 1468 4.60 0.00 0.00 0.00
14 E1u 1034 1026 2.80 0.00 0.00 0.00
14 E1u 1034 1026 2.80 0.00 0.00 0.00
15 E2g 3098 3074 0.00 145.02 0.75 0.86
15 E2g 3098 3074 0.00 145.02 0.75 0.86
16 E2g 1590 1577 0.00 12.01 0.75 0.86
16 E2g 1590 1577 0.00 12.01 0.75 0.86
17 E2g 1172 1163 0.00 11.27 0.75 0.86
17 E2g 1172 1163 0.00 11.27 0.75 0.86
18 E2g 605 601 0.00 3.54 0.75 0.86
18 E2g 605 601 0.00 3.54 0.75 0.86
19 E2u 933 926 0.00 0.00 0.00 0.00
19 E2u 933 926 0.00 0.00 0.00 0.00
20 E2u 402 399 0.00 0.00 0.00 0.00
20 E2u 402 399 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21438.6 cm-1
Scaled (by 0.9923) Zero Point Vibrational Energy (zpe) 21273.5 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 BLYP/6-31G**
ABC
0.18709 0.18709 0.09354

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.406 0.000
C2 1.218 0.703 0.000
C3 1.218 -0.703 0.000
C4 0.000 -1.406 0.000
C5 -1.218 -0.703 0.000
C6 -1.218 0.703 0.000
H7 0.000 2.500 0.000
H8 2.165 1.250 0.000
H9 2.165 -1.250 0.000
H10 0.000 -2.500 0.000
H11 -2.165 -1.250 0.000
H12 -2.165 1.250 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.40642.43602.81292.43601.40641.09342.17063.42683.90633.42682.1706
C21.40641.40642.43602.81292.43602.17061.09342.17063.42683.90633.4268
C32.43601.40641.40642.43602.81293.42682.17061.09342.17063.42683.9063
C42.81292.43601.40641.40642.43603.90633.42682.17061.09342.17063.4268
C52.43602.81292.43601.40641.40643.42683.90633.42682.17061.09342.1706
C61.40642.43602.81292.43601.40642.17063.42683.90633.42682.17061.0934
H71.09342.17063.42683.90633.42682.17062.49984.32984.99964.32982.4998
H82.17061.09342.17063.42683.90633.42682.49982.49984.32984.99964.3298
H93.42682.17061.09342.17063.42683.90634.32982.49982.49984.32984.9996
H103.90633.42682.17061.09342.17063.42684.99964.32982.49982.49984.3298
H113.42683.90633.42682.17061.09342.17064.32984.99964.32982.49982.4998
H122.17063.42683.90633.42682.17061.09342.49984.32984.99964.32982.4998

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 BLYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.057      
2 C -0.057      
3 C -0.057      
4 C -0.057      
5 C -0.057      
6 C -0.057      
7 H 0.057      
8 H 0.057      
9 H 0.057      
10 H 0.057      
11 H 0.057      
12 H 0.057      


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 -31.825 0.000 0.000
y 0.000 -31.825 0.000
z 0.000 0.000 -38.398
Traceless
 xyz
x 3.287 0.000 0.000
y 0.000 3.287 0.000
z 0.000 0.000 -6.573
Polar
3z2-r2-13.147
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 10.943 0.000 0.000
y 0.000 10.943 0.000
z 0.000 0.000 3.199


<r2> (average value of r2) Å2
<r2> 129.952
(<r2>)1/2 11.400