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All results from a given calculation for C6H6 (Benzene)

using model chemistry: TPSSh/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 TPSSh/6-311G**
 hartrees
Energy at 0K-232.321919
Energy at 298.15K-232.328239
HF Energy-232.321919
Nuclear repulsion energy203.404758
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 TPSSh/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 3193 3193 0.00 425.55 0.13 0.23
2 A1g 1010 1010 0.00 60.26 0.09 0.16
3 A2g 1382 1382 0.00 0.00 0.75 0.86
4 A2u 689 689 110.78 0.00 0.00 0.00
5 B1u 3155 3155 0.00 0.00 0.00 0.00
6 B1u 1017 1017 0.00 0.00 0.00 0.00
7 B2g 1014 1014 0.00 0.00 0.75 0.86
8 B2g 718 718 0.00 0.00 0.75 0.86
9 B2u 1351 1351 0.00 0.00 0.00 0.00
10 B2u 1174 1174 0.00 0.00 0.00 0.00
11 E1g 864 864 0.00 0.84 0.75 0.86
11 E1g 864 864 0.00 0.83 0.75 0.86
12 E1u 3182 3182 51.31 0.00 0.00 0.00
12 E1u 3182 3182 51.32 0.00 0.00 0.00
13 E1u 1514 1514 7.60 0.00 0.00 0.00
13 E1u 1514 1514 7.60 0.00 0.00 0.00
14 E1u 1061 1061 4.96 0.00 0.00 0.00
14 E1u 1061 1061 4.96 0.00 0.00 0.00
15 E2g 3165 3165 0.00 151.07 0.75 0.86
15 E2g 3165 3165 0.00 151.05 0.75 0.86
16 E2g 1637 1637 0.00 9.46 0.75 0.86
16 E2g 1637 1637 0.00 9.46 0.75 0.86
17 E2g 1199 1199 0.00 6.54 0.75 0.86
17 E2g 1199 1199 0.00 6.54 0.75 0.86
18 E2g 611 611 0.00 4.02 0.75 0.86
18 E2g 611 611 0.00 4.02 0.75 0.86
19 E2u 982 982 0.00 0.00 0.00 0.00
19 E2u 982 982 0.00 0.00 0.00 0.00
20 E2u 407 407 0.00 0.00 0.00 0.00
20 E2u 407 407 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21973.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21973.3 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 TPSSh/6-311G**
ABC
0.19008 0.19008 0.09504

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

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.395 0.000
C2 1.208 0.698 0.000
C3 1.208 -0.698 0.000
C4 0.000 -1.395 0.000
C5 -1.208 -0.698 0.000
C6 -1.208 0.698 0.000
H7 0.000 2.480 0.000
H8 2.148 1.240 0.000
H9 2.148 -1.240 0.000
H10 0.000 -2.480 0.000
H11 -2.148 -1.240 0.000
H12 -2.148 1.240 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39532.41672.79062.41671.39531.08522.15373.40003.87573.40002.1537
C21.39531.39532.41672.79062.41672.15371.08522.15373.40003.87573.4000
C32.41671.39531.39532.41672.79063.40002.15371.08522.15373.40003.8757
C42.79062.41671.39531.39532.41673.87573.40002.15371.08522.15373.4000
C52.41672.79062.41671.39531.39533.40003.87573.40002.15371.08522.1537
C61.39532.41672.79062.41671.39532.15373.40003.87573.40002.15371.0852
H71.08522.15373.40003.87573.40002.15372.48044.29624.96094.29622.4804
H82.15371.08522.15373.40003.87573.40002.48042.48044.29624.96094.2962
H93.40002.15371.08522.15373.40003.87574.29622.48042.48044.29624.9609
H103.87573.40002.15371.08522.15373.40004.96094.29622.48042.48044.2962
H113.40003.87573.40002.15371.08522.15374.29624.96094.29622.48042.4804
H122.15373.40003.87573.40002.15371.08522.48044.29624.96094.29622.4804

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 TPSSh/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.091      
2 C -0.091      
3 C -0.091      
4 C -0.091      
5 C -0.091      
6 C -0.091      
7 H 0.091      
8 H 0.091      
9 H 0.091      
10 H 0.091      
11 H 0.091      
12 H 0.091      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.110 0.000 0.000
y 0.000 11.111 0.000
z 0.000 0.000 4.204


<r2> (average value of r2) Å2
<r2> 128.334
(<r2>)1/2 11.328