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All results from a given calculation for C6H6 (Benzene)

using model chemistry: wB97X-D/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 wB97X-D/6-311G**
 hartrees
Energy at 0K-232.218879
Energy at 298.15K-232.225272
HF Energy-232.218879
Nuclear repulsion energy204.055054
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 wB97X-D/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 3218 3078 0.00 388.22 0.13 0.22
2 A1g 1029 984 0.00 58.37 0.09 0.16
3 A2g 1384 1324 0.00 0.00 0.75 0.86
4 A2u 696 666 118.79 0.00 0.00 0.00
5 B1u 3180 3042 0.00 0.00 0.00 0.00
6 B1u 1028 983 0.00 0.00 0.00 0.00
7 B2g 1034 990 0.00 0.00 0.75 0.86
8 B2g 731 699 0.00 0.00 0.75 0.86
9 B2u 1341 1283 0.00 0.00 0.00 0.00
10 B2u 1179 1128 0.00 0.00 0.00 0.00
11 E1g 877 839 0.00 0.61 0.75 0.86
11 E1g 877 839 0.00 0.62 0.75 0.86
12 E1u 3207 3067 39.09 0.00 0.00 0.00
12 E1u 3207 3067 39.10 0.00 0.00 0.00
13 E1u 1526 1459 9.70 0.00 0.00 0.00
13 E1u 1526 1459 9.70 0.00 0.00 0.00
14 E1u 1073 1026 6.15 0.00 0.00 0.00
14 E1u 1073 1026 6.14 0.00 0.00 0.00
15 E2g 3190 3051 0.00 135.08 0.75 0.86
15 E2g 3190 3051 0.00 135.06 0.75 0.86
16 E2g 1672 1599 0.00 9.30 0.75 0.86
16 E2g 1672 1599 0.00 9.34 0.75 0.86
17 E2g 1207 1155 0.00 6.52 0.75 0.86
17 E2g 1207 1155 0.00 6.53 0.75 0.86
18 E2g 628 601 0.00 4.13 0.75 0.86
18 E2g 628 601 0.00 4.12 0.75 0.86
19 E2u 1004 960 0.00 0.00 0.00 0.00
19 E2u 1004 960 0.00 0.00 0.00 0.00
20 E2u 416 397 0.00 0.00 0.00 0.00
20 E2u 416 397 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22209.1 cm-1
Scaled (by 0.9565) Zero Point Vibrational Energy (zpe) 21243.0 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 wB97X-D/6-311G**
ABC
0.19136 0.19136 0.09568

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311G**

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
C11.39022.40802.78052.40801.39021.08432.14853.39063.86483.39062.1485
C21.39021.39022.40802.78052.40802.14851.08432.14853.39063.86483.3906
C32.40801.39021.39022.40802.78053.39062.14851.08432.14853.39063.8648
C42.78052.40801.39021.39022.40803.86483.39062.14851.08432.14853.3906
C52.40802.78052.40801.39021.39023.39063.86483.39062.14851.08432.1485
C61.39022.40802.78052.40801.39022.14853.39063.86483.39062.14851.0843
H71.08432.14853.39063.86483.39062.14852.47454.28604.94914.28602.4745
H82.14851.08432.14853.39063.86483.39062.47452.47454.28604.94914.2860
H93.39062.14851.08432.14853.39063.86484.28602.47452.47454.28604.9491
H103.86483.39062.14851.08432.14853.39064.94914.28602.47452.47454.2860
H113.39063.86483.39062.14851.08432.14854.28604.94914.28602.47452.4745
H122.14853.39063.86483.39062.14851.08432.47454.28604.94914.28602.4745

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 wB97X-D/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.110      
2 C -0.110      
3 C -0.110      
4 C -0.110      
5 C -0.110      
6 C -0.110      
7 H 0.110      
8 H 0.110      
9 H 0.110      
10 H 0.110      
11 H 0.110      
12 H 0.110      


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 -31.354 0.000 0.000
y 0.000 -31.354 0.000
z 0.000 0.000 -39.598
Traceless
 xyz
x 4.122 0.000 0.000
y 0.000 4.122 0.000
z 0.000 0.000 -8.244
Polar
3z2-r2-16.487
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 10.929 0.000 0.000
y 0.000 10.925 0.000
z 0.000 0.000 4.175


<r2> (average value of r2) Å2
<r2> 127.619
(<r2>)1/2 11.297