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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-311G*
 hartrees
Energy at 0K-232.297901
Energy at 298.15K-232.304217
HF Energy-232.297901
Nuclear repulsion energy203.547864
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 B3LYPultrafine/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 3191 3083 0.00 405.79 0.13 0.23
2 A1g 1014 980 0.00 57.34 0.09 0.17
3 A2g 1388 1341 0.00 0.00 0.75 0.86
4 A2u 685 662 118.91 0.00 0.00 0.00
5 B1u 3153 3047 0.00 0.00 0.00 0.00
6 B1u 1027 992 0.00 0.00 0.00 0.00
7 B2g 1004 970 0.00 0.00 0.75 0.86
8 B2g 722 698 0.00 0.00 0.75 0.86
9 B2u 1339 1293 0.00 0.00 0.00 0.00
10 B2u 1179 1139 0.00 0.00 0.00 0.00
11 E1g 856 827 0.00 1.10 0.75 0.86
11 E1g 856 827 0.00 1.10 0.75 0.86
12 E1u 3180 3073 59.41 0.00 0.00 0.00
12 E1u 3180 3073 59.41 0.00 0.00 0.00
13 E1u 1520 1469 8.86 0.00 0.00 0.00
13 E1u 1520 1469 8.86 0.00 0.00 0.00
14 E1u 1061 1026 5.20 0.00 0.00 0.00
14 E1u 1061 1026 5.20 0.00 0.00 0.00
15 E2g 3163 3057 0.00 146.03 0.75 0.86
15 E2g 3163 3057 0.00 146.03 0.75 0.86
16 E2g 1643 1587 0.00 9.38 0.75 0.86
16 E2g 1643 1587 0.00 9.38 0.75 0.86
17 E2g 1201 1161 0.00 6.17 0.75 0.86
17 E2g 1201 1161 0.00 6.17 0.75 0.86
18 E2g 624 603 0.00 4.00 0.75 0.86
18 E2g 624 603 0.00 4.00 0.75 0.86
19 E2u 963 930 0.00 0.00 0.00 0.00
19 E2u 963 930 0.00 0.00 0.00 0.00
20 E2u 413 400 0.00 0.00 0.00 0.00
20 E2u 413 400 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21974.2 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 21233.7 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 B3LYPultrafine/6-311G*
ABC
0.19038 0.19038 0.09519

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-311G*

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.394 0.000
C2 1.207 0.697 0.000
C3 1.207 -0.697 0.000
C4 0.000 -1.394 0.000
C5 -1.207 -0.697 0.000
C6 -1.207 0.697 0.000
H7 0.000 2.480 0.000
H8 2.147 1.240 0.000
H9 2.147 -1.240 0.000
H10 0.000 -2.480 0.000
H11 -2.147 -1.240 0.000
H12 -2.147 1.240 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39402.41452.78812.41451.39401.08552.15293.39833.87363.39832.1529
C21.39401.39402.41452.78812.41452.15291.08552.15293.39833.87363.3983
C32.41451.39401.39402.41452.78813.39832.15291.08552.15293.39833.8736
C42.78812.41451.39401.39402.41453.87363.39832.15291.08552.15293.3983
C52.41452.78812.41451.39401.39403.39833.87363.39832.15291.08552.1529
C61.39402.41452.78812.41451.39402.15293.39833.87363.39832.15291.0855
H71.08552.15293.39833.87363.39832.15292.47964.29484.95924.29482.4796
H82.15291.08552.15293.39833.87363.39832.47962.47964.29484.95924.2948
H93.39832.15291.08552.15293.39833.87364.29482.47962.47964.29484.9592
H103.87363.39832.15291.08552.15293.39834.95924.29482.47962.47964.2948
H113.39833.87363.39832.15291.08552.15294.29484.95924.29482.47962.4796
H122.15293.39833.87363.39832.15291.08552.47964.29484.95924.29482.4796

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 B3LYPultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.192      
2 C -0.192      
3 C -0.192      
4 C -0.192      
5 C -0.192      
6 C -0.192      
7 H 0.192      
8 H 0.192      
9 H 0.192      
10 H 0.192      
11 H 0.192      
12 H 0.192      


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 -31.698 0.000 0.000
y 0.000 -31.698 0.000
z 0.000 0.000 -39.880
Traceless
 xyz
x 4.091 0.000 0.000
y 0.000 4.091 0.000
z 0.000 0.000 -8.181
Polar
3z2-r2-16.363
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 10.989 0.000 0.000
y 0.000 10.989 0.000
z 0.000 0.000 4.058


<r2> (average value of r2) Å2
<r2> 128.351
(<r2>)1/2 11.329