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All results from a given calculation for C6H6 (Benzene)

using model chemistry: wB97X-D/Def2TZVPP

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/Def2TZVPP
 hartrees
Energy at 0K-232.249258
Energy at 298.15K-232.255654
HF Energy-232.249258
Nuclear repulsion energy204.483317
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/Def2TZVPP
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 3225 3081 0.00 407.40 0.10 0.18
2 A1g 1030 984 0.00 70.73 0.05 0.09
3 A2g 1390 1328 0.00 0.00 0.75 0.86
4 A2u 699 668 115.81 0.00 0.00 0.00
5 B1u 3189 3046 0.00 0.00 0.00 0.00
6 B1u 1032 986 0.00 0.00 0.00 0.00
7 B2g 1039 992 0.00 0.00 0.75 0.86
8 B2g 733 700 0.00 0.00 0.75 0.86
9 B2u 1340 1280 0.00 0.00 0.00 0.00
10 B2u 1179 1126 0.00 0.00 0.00 0.00
11 E1g 882 843 0.00 0.07 0.75 0.86
11 E1g 882 843 0.00 0.07 0.75 0.86
12 E1u 3215 3071 30.07 0.00 0.00 0.00
12 E1u 3215 3071 30.15 0.00 0.00 0.00
13 E1u 1530 1461 8.41 0.00 0.00 0.00
13 E1u 1530 1461 8.41 0.00 0.00 0.00
14 E1u 1073 1025 5.91 0.00 0.00 0.00
14 E1u 1073 1025 5.91 0.00 0.00 0.00
15 E2g 3199 3055 0.00 123.03 0.75 0.86
15 E2g 3199 3055 0.00 122.70 0.75 0.86
16 E2g 1670 1595 0.00 10.18 0.75 0.86
16 E2g 1670 1595 0.00 10.24 0.75 0.86
17 E2g 1209 1155 0.00 5.86 0.75 0.86
17 E2g 1209 1155 0.00 5.85 0.75 0.86
18 E2g 628 600 0.00 3.87 0.75 0.86
18 E2g 628 600 0.00 3.82 0.75 0.86
19 E2u 1013 967 0.00 0.00 0.00 0.00
19 E2u 1013 967 0.00 0.00 0.00 0.00
20 E2u 417 398 0.00 0.00 0.00 0.00
20 E2u 417 398 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22261.6 cm-1
Scaled (by 0.9552) Zero Point Vibrational Energy (zpe) 21264.3 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 wB97X-D/Def2TZVPP
ABC
0.19217 0.19217 0.09608

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/Def2TZVPP

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.387 0.000
C2 1.201 0.694 0.000
C3 1.201 -0.694 0.000
C4 0.000 -1.387 0.000
C5 -1.201 -0.694 0.000
C6 -1.201 0.694 0.000
H7 0.000 2.469 0.000
H8 2.139 1.235 0.000
H9 2.139 -1.235 0.000
H10 0.000 -2.469 0.000
H11 -2.139 -1.235 0.000
H12 -2.139 1.235 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.38732.40292.77462.40291.38731.08212.14403.38363.85673.38362.1440
C21.38731.38732.40292.77462.40292.14401.08212.14403.38363.85673.3836
C32.40291.38731.38732.40292.77463.38362.14401.08212.14403.38363.8567
C42.77462.40291.38731.38732.40293.85673.38362.14401.08212.14403.3836
C52.40292.77462.40291.38731.38733.38363.85673.38362.14401.08212.1440
C61.38732.40292.77462.40291.38732.14403.38363.85673.38362.14401.0821
H71.08212.14403.38363.85673.38362.14402.46944.27724.93894.27722.4694
H82.14401.08212.14403.38363.85673.38362.46942.46944.27724.93894.2772
H93.38362.14401.08212.14403.38363.85674.27722.46942.46944.27724.9389
H103.85673.38362.14401.08212.14403.38364.93894.27722.46942.46944.2772
H113.38363.85673.38362.14401.08212.14404.27724.93894.27722.46942.4694
H122.14403.38363.85673.38362.14401.08212.46944.27724.93894.27722.4694

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/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.119      
2 C -0.119      
3 C -0.119      
4 C -0.119      
5 C -0.119      
6 C -0.119      
7 H 0.119      
8 H 0.119      
9 H 0.119      
10 H 0.119      
11 H 0.119      
12 H 0.119      


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 -31.625 0.000 0.000
y 0.000 -31.625 0.000
z 0.000 0.000 -39.569
Traceless
 xyz
x 3.972 0.000 0.000
y 0.000 3.972 0.000
z 0.000 0.000 -7.944
Polar
3z2-r2-15.887
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 11.458 0.000 0.000
y 0.000 11.454 0.000
z 0.000 0.000 5.822


<r2> (average value of r2) Å2
<r2> 127.281
(<r2>)1/2 11.282