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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3PW91/daug-cc-pVDZ

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/daug-cc-pVDZ
 hartrees
Energy at 0K-232.185862
Energy at 298.15K-232.192208
HF Energy-232.185862
Nuclear repulsion energy203.092775
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/daug-cc-pVDZ
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 3211 3211 0.00 803.84 0.10 0.18
2 A1g 1021 1021 0.00 91.68 0.05 0.10
3 A2g 1355 1355 0.00 0.00 0.75 0.86
4 A2u 688 688 112.77 0.00 0.00 0.00
5 B1u 3175 3175 0.00 0.00 0.00 0.00
6 B1u 1003 1003 0.00 0.00 0.00 0.00
7 B2g 1019 1019 0.00 0.00 0.75 0.86
8 B2g 715 715 0.00 0.00 0.75 0.86
9 B2u 1374 1374 0.00 0.00 0.00 0.00
10 B2u 1163 1163 0.00 0.00 0.00 0.00
11 E1g 868 868 0.00 5.75 0.75 0.86
11 E1g 868 868 0.00 5.73 0.75 0.86
12 E1u 3201 3201 33.45 0.00 0.00 0.00
12 E1u 3201 3201 33.46 0.00 0.00 0.00
13 E1u 1500 1500 6.63 0.00 0.00 0.00
13 E1u 1500 1500 6.63 0.00 0.00 0.00
14 E1u 1062 1062 6.04 0.00 0.00 0.00
14 E1u 1062 1062 6.04 0.00 0.00 0.00
15 E2g 3186 3186 0.00 87.38 0.75 0.86
15 E2g 3186 3186 0.00 88.21 0.75 0.86
16 E2g 1650 1650 0.00 24.31 0.75 0.86
16 E2g 1650 1650 0.00 24.19 0.75 0.86
17 E2g 1188 1188 0.00 3.19 0.75 0.86
17 E2g 1188 1188 0.00 3.09 0.75 0.86
18 E2g 614 614 0.00 1.59 0.75 0.86
18 E2g 614 614 0.00 1.51 0.75 0.86
19 E2u 993 993 0.00 0.00 0.00 0.00
19 E2u 993 993 0.00 0.00 0.00 0.00
20 E2u 411 411 0.00 0.00 0.00 0.00
20 E2u 411 411 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22031.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 22031.1 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/daug-cc-pVDZ
ABC
0.18958 0.18958 0.09479

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/daug-cc-pVDZ

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.397 0.000
C2 1.209 0.698 0.000
C3 1.209 -0.698 0.000
C4 0.000 -1.397 0.000
C5 -1.209 -0.698 0.000
C6 -1.209 0.698 0.000
H7 0.000 2.487 0.000
H8 2.154 1.244 0.000
H9 2.154 -1.244 0.000
H10 0.000 -2.487 0.000
H11 -2.154 -1.244 0.000
H12 -2.154 1.244 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39662.41902.79322.41901.39661.09042.15933.40723.88363.40722.1593
C21.39661.39662.41902.79322.41902.15931.09042.15933.40723.88363.4072
C32.41901.39661.39662.41902.79323.40722.15931.09042.15933.40723.8836
C42.79322.41901.39661.39662.41903.88363.40722.15931.09042.15933.4072
C52.41902.79322.41901.39661.39663.40723.88363.40722.15931.09042.1593
C61.39662.41902.79322.41901.39662.15933.40723.88363.40722.15931.0904
H71.09042.15933.40723.88363.40722.15932.48704.30774.97414.30772.4870
H82.15931.09042.15933.40723.88363.40722.48702.48704.30774.97414.3077
H93.40722.15931.09042.15933.40723.88364.30772.48702.48704.30774.9741
H103.88363.40722.15931.09042.15933.40724.97414.30772.48702.48704.3077
H113.40723.88363.40722.15931.09042.15934.30774.97414.30772.48702.4870
H122.15933.40723.88363.40722.15931.09042.48704.30774.97414.30772.4870

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/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.973      
2 C 0.973      
3 C 0.973      
4 C 0.973      
5 C 0.973      
6 C 0.973      
7 H -0.973      
8 H -0.973      
9 H -0.973      
10 H -0.973      
11 H -0.973      
12 H -0.973      


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 -31.877 0.000 0.000
y 0.000 -31.877 0.000
z 0.000 0.000 -39.763
Traceless
 xyz
x 3.943 0.000 0.000
y 0.000 3.943 0.000
z 0.000 0.000 -7.886
Polar
3z2-r2-15.772
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 12.152 0.000 0.000
y 0.000 12.152 0.000
z 0.000 0.000 6.605


<r2> (average value of r2) Å2
<r2> 128.881
(<r2>)1/2 11.353