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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-232.203000
Energy at 298.15K-232.209308
Nuclear repulsion energy203.792902
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 B3PW91/6-311G*
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 3203 3084 0.00      
2 A1g 1022 984 0.00      
3 A2g 1380 1329 0.00      
4 A2u 683 657 126.11      
5 B1u 3166 3048 0.00      
6 B1u 1020 982 0.00      
7 B2g 1005 968 0.00      
8 B2g 721 695 0.00      
9 B2u 1363 1312 0.00      
10 B2u 1178 1134 0.00      
11 E1g 856 825 0.00      
11 E1g 856 825 0.00      
12 E1u 3192 3073 52.18      
12 E1u 3192 3073 52.18      
13 E1u 1520 1463 9.12      
13 E1u 1520 1463 9.12      
14 E1u 1066 1026 6.15      
14 E1u 1066 1026 6.15      
15 E2g 3176 3057 0.00      
15 E2g 3176 3057 0.00      
16 E2g 1656 1594 0.00      
16 E2g 1656 1594 0.00      
17 E2g 1201 1156 0.00      
17 E2g 1201 1156 0.00      
18 E2g 620 597 0.00      
18 E2g 620 597 0.00      
19 E2u 967 931 0.00      
19 E2u 967 931 0.00      
20 E2u 410 395 0.00      
20 E2u 410 395 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 22034.0 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 21212.2 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 B3PW91/6-311G*
ABC
0.19088 0.19088 0.09544

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.392 0.000
C2 1.205 0.696 0.000
C3 1.205 -0.696 0.000
C4 0.000 -1.392 0.000
C5 -1.205 -0.696 0.000
C6 -1.205 0.696 0.000
H7 0.000 2.478 0.000
H8 2.146 1.239 0.000
H9 2.146 -1.239 0.000
H10 0.000 -2.478 0.000
H11 -2.146 -1.239 0.000
H12 -2.146 1.239 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39192.41092.78382.41091.39191.08622.15153.39533.87003.39532.1515
C21.39191.39192.41092.78382.41092.15151.08622.15153.39533.87003.3953
C32.41091.39191.39192.41092.78383.39532.15151.08622.15153.39533.8700
C42.78382.41091.39191.39192.41093.87003.39532.15151.08622.15153.3953
C52.41092.78382.41091.39191.39193.39533.87003.39532.15151.08622.1515
C61.39192.41092.78382.41091.39192.15153.39533.87003.39532.15151.0862
H71.08622.15153.39533.87003.39532.15152.47814.29224.95624.29222.4781
H82.15151.08622.15153.39533.87003.39532.47812.47814.29224.95624.2922
H93.39532.15151.08622.15153.39533.87004.29222.47812.47814.29224.9562
H103.87003.39532.15151.08622.15153.39534.95624.29222.47812.47814.2922
H113.39533.87003.39532.15151.08622.15154.29224.95624.29222.47812.4781
H122.15153.39533.87003.39532.15151.08622.47814.29224.95624.29222.4781

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

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.202      
2 C -0.202      
3 C -0.202      
4 C -0.202      
5 C -0.202      
6 C -0.202      
7 H 0.202      
8 H 0.202      
9 H 0.202      
10 H 0.202      
11 H 0.202      
12 H 0.202      


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 -31.171 0.000 0.000
y 0.000 -31.171 0.000
z 0.000 0.000 -39.781
Traceless
 xyz
x 4.305 0.000 0.000
y 0.000 4.305 0.000
z 0.000 0.000 -8.610
Polar
3z2-r2-17.219
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 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


<r2> (average value of r2) Å2
<r2> 127.854
(<r2>)1/2 11.307