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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3PW91/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B3PW91/TZVP
 hartrees
Energy at 0K-232.232806
Energy at 298.15K-232.239116
HF Energy-232.232806
Nuclear repulsion energy204.079930
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 B3PW91/TZVP
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 3205 3091 0.00 414.33 0.11 0.20
2 A1g 1022 986 0.00 67.72 0.05 0.10
3 A2g 1379 1330 0.00 0.00 0.75 0.86
4 A2u 688 663 119.13 0.00 0.00 0.00
5 B1u 3171 3057 0.00 0.00 0.00 0.00
6 B1u 1023 986 0.00 0.00 0.00 0.00
7 B2g 997 961 0.00 0.00 0.75 0.86
8 B2g 686 662 0.00 0.00 0.75 0.86
9 B2u 1356 1308 0.00 0.00 0.00 0.00
10 B2u 1178 1136 0.00 0.00 0.00 0.00
11 E1g 862 832 0.00 0.04 0.75 0.86
11 E1g 862 832 0.00 0.04 0.75 0.86
12 E1u 3195 3081 31.71 0.00 0.00 0.00
12 E1u 3195 3081 31.71 0.00 0.00 0.00
13 E1u 1516 1462 8.48 0.00 0.00 0.00
13 E1u 1516 1462 8.48 0.00 0.00 0.00
14 E1u 1066 1028 6.78 0.00 0.00 0.00
14 E1u 1066 1028 6.79 0.00 0.00 0.00
15 E2g 3180 3067 0.00 127.55 0.75 0.86
15 E2g 3180 3067 0.00 127.54 0.75 0.86
16 E2g 1648 1589 0.00 10.04 0.75 0.86
16 E2g 1648 1589 0.00 10.05 0.75 0.86
17 E2g 1201 1158 0.00 5.75 0.75 0.86
17 E2g 1201 1158 0.00 5.75 0.75 0.86
18 E2g 621 599 0.00 4.76 0.75 0.86
18 E2g 621 599 0.00 4.75 0.75 0.86
19 E2u 968 933 0.00 0.00 0.00 0.00
19 E2u 968 933 0.00 0.00 0.00 0.00
20 E2u 406 391 0.00 0.00 0.00 0.00
20 E2u 406 391 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22015.3 cm-1
Scaled (by 0.9643) Zero Point Vibrational Energy (zpe) 21229.3 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 B3PW91/TZVP
ABC
0.19142 0.19142 0.09571

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/TZVP

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
C11.39002.40752.78002.40751.39001.08452.14843.39043.86453.39042.1484
C21.39001.39002.40752.78002.40752.14841.08452.14843.39043.86453.3904
C32.40751.39001.39002.40752.78003.39042.14841.08452.14843.39043.8645
C42.78002.40751.39001.39002.40753.86453.39042.14841.08452.14843.3904
C52.40752.78002.40751.39001.39003.39043.86453.39042.14841.08452.1484
C61.39002.40752.78002.40751.39002.14843.39043.86453.39042.14841.0845
H71.08452.14843.39043.86453.39042.14842.47454.28604.94904.28602.4745
H82.14841.08452.14843.39043.86453.39042.47452.47454.28604.94904.2860
H93.39042.14841.08452.14843.39043.86454.28602.47452.47454.28604.9490
H103.86453.39042.14841.08452.14843.39044.94904.28602.47452.47454.2860
H113.39043.86453.39042.14841.08452.14844.28604.94904.28602.47452.4745
H122.14843.39043.86453.39042.14841.08452.47454.28604.94904.28602.4745

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 B3PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.116      
2 C -0.116      
3 C -0.116      
4 C -0.116      
5 C -0.116      
6 C -0.116      
7 H 0.116      
8 H 0.116      
9 H 0.116      
10 H 0.116      
11 H 0.116      
12 H 0.116      


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 -31.538 0.000 0.000
y 0.000 -31.538 0.000
z 0.000 0.000 -39.724
Traceless
 xyz
x 4.093 0.000 0.000
y 0.000 4.093 0.000
z 0.000 0.000 -8.187
Polar
3z2-r2-16.373
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 11.281 0.000 0.000
y 0.000 11.281 0.000
z 0.000 0.000 5.449


<r2> (average value of r2) Å2
<r2> 127.696
(<r2>)1/2 11.300