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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31G**
 hartrees
Energy at 0K-232.258202
Energy at 298.15K-232.264525
HF Energy-232.258202
Nuclear repulsion energy203.241179
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 B3LYPultrafine/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 3208 3082 0.00 382.23 0.10 0.18
2 A1g 1020 980 0.00 52.86 0.10 0.18
3 A2g 1381 1327 0.00 0.00 0.75 0.86
4 A2u 695 668 74.24 0.00 0.00 0.00
5 B1u 3172 3048 0.00 0.00 0.00 0.00
6 B1u 1018 978 0.00 0.00 0.00 0.00
7 B2g 1013 974 0.00 0.00 0.75 0.86
8 B2g 718 690 0.00 0.00 0.75 0.86
9 B2u 1356 1302 0.00 0.00 0.00 0.00
10 B2u 1180 1133 0.00 0.00 0.00 0.00
11 E1g 865 832 0.00 6.15 0.75 0.86
11 E1g 865 832 0.00 6.15 0.75 0.86
12 E1u 3197 3072 46.62 0.00 0.00 0.00
12 E1u 3197 3072 46.61 0.00 0.00 0.00
13 E1u 1524 1465 6.62 0.00 0.00 0.00
13 E1u 1524 1465 6.62 0.00 0.00 0.00
14 E1u 1066 1025 3.39 0.00 0.00 0.00
14 E1u 1066 1025 3.39 0.00 0.00 0.00
15 E2g 3182 3057 0.00 136.69 0.75 0.86
15 E2g 3182 3057 0.00 136.69 0.75 0.86
16 E2g 1653 1588 0.00 11.73 0.75 0.86
16 E2g 1653 1588 0.00 11.73 0.75 0.86
17 E2g 1203 1155 0.00 10.22 0.75 0.86
17 E2g 1203 1155 0.00 10.22 0.75 0.86
18 E2g 621 597 0.00 3.55 0.75 0.86
18 E2g 621 597 0.00 3.55 0.75 0.86
19 E2u 975 937 0.00 0.00 0.00 0.00
19 E2u 975 937 0.00 0.00 0.00 0.00
20 E2u 415 398 0.00 0.00 0.00 0.00
20 E2u 415 398 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22079.9 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 21214.4 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 B3LYPultrafine/6-31G**
ABC
0.18978 0.18978 0.09489

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31G**

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 2.483 0.000
H8 2.150 1.241 0.000
H9 2.150 -1.241 0.000
H10 0.000 -2.483 0.000
H11 -2.150 -1.241 0.000
H12 -2.150 1.241 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39632.41852.79272.41851.39631.08632.15563.40293.87903.40292.1556
C21.39631.39632.41852.79272.41852.15561.08632.15563.40293.87903.4029
C32.41851.39631.39632.41852.79273.40292.15561.08632.15563.40293.8790
C42.79272.41851.39631.39632.41853.87903.40292.15561.08632.15563.4029
C52.41852.79272.41851.39631.39633.40293.87903.40292.15561.08632.1556
C61.39632.41852.79272.41851.39632.15563.40293.87903.40292.15561.0863
H71.08632.15563.40293.87903.40292.15562.48274.30014.96534.30012.4827
H82.15561.08632.15563.40293.87903.40292.48272.48274.30014.96534.3001
H93.40292.15561.08632.15563.40293.87904.30012.48272.48274.30014.9653
H103.87903.40292.15561.08632.15563.40294.96534.30012.48272.48274.3001
H113.40293.87903.40292.15561.08632.15564.30014.96534.30012.48272.4827
H122.15563.40293.87903.40292.15561.08632.48274.30014.96534.30012.4827

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 B3LYPultrafine/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.084      
2 C -0.084      
3 C -0.084      
4 C -0.084      
5 C -0.084      
6 C -0.084      
7 H 0.084      
8 H 0.084      
9 H 0.084      
10 H 0.084      
11 H 0.084      
12 H 0.084      


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 -31.473 0.000 0.000
y 0.000 -31.473 0.000
z 0.000 0.000 -38.535
Traceless
 xyz
x 3.531 0.000 0.000
y 0.000 3.531 0.000
z 0.000 0.000 -7.062
Polar
3z2-r2-14.124
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 10.638 0.000 0.000
y 0.000 10.638 0.000
z 0.000 0.000 3.175


<r2> (average value of r2) Å2
<r2> 128.300
(<r2>)1/2 11.327