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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B97D3/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B97D3/6-311+G(3df,2p)
 hartrees
Energy at 0K-232.165752
Energy at 298.15K-232.171956
HF Energy-232.165752
Nuclear repulsion energy203.227074
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 B97D3/6-311+G(3df,2p)
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 3138 3097 0.00 430.37 0.10 0.18
2 A1g 994 981 0.00 85.60 0.02 0.04
3 A2g 1349 1332 0.00 0.00 0.75 0.86
4 A2u 667 659 105.85 0.00 0.00 0.00
5 B1u 3098 3058 0.00 0.00 0.00 0.00
6 B1u 926 914 0.00 0.00 0.00 0.00
7 B2g 988 975 0.00 0.00 0.75 0.86
8 B2g 684 675 0.00 0.00 0.75 0.86
9 B2u 1332 1315 0.00 0.00 0.00 0.00
10 B2u 1156 1141 0.00 0.00 0.00 0.00
11 E1g 840 830 0.00 1.08 0.75 0.86
11 E1g 840 830 0.00 1.05 0.75 0.86
12 E1u 3128 3087 48.54 0.00 0.00 0.00
12 E1u 3128 3087 48.54 0.00 0.00 0.00
13 E1u 1478 1459 5.19 0.00 0.00 0.00
13 E1u 1478 1459 5.18 0.00 0.00 0.00
14 E1u 1039 1025 4.97 0.00 0.00 0.00
14 E1u 1039 1025 4.97 0.00 0.00 0.00
15 E2g 3111 3071 0.00 133.44 0.75 0.86
15 E2g 3111 3071 0.00 133.40 0.75 0.86
16 E2g 1592 1571 0.00 12.48 0.75 0.86
16 E2g 1592 1571 0.00 12.56 0.75 0.86
17 E2g 1176 1160 0.00 5.59 0.75 0.86
17 E2g 1176 1160 0.00 5.56 0.75 0.86
18 E2g 607 599 0.00 2.97 0.75 0.86
18 E2g 607 599 0.00 3.03 0.75 0.86
19 E2u 962 950 0.00 0.00 0.00 0.00
19 E2u 962 950 0.00 0.00 0.00 0.00
20 E2u 398 392 0.00 0.00 0.00 0.00
20 E2u 398 392 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 21496.0 cm-1
Scaled (by 0.987) Zero Point Vibrational Energy (zpe) 21216.6 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 B97D3/6-311+G(3df,2p)
ABC
0.18976 0.18976 0.09488

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311+G(3df,2p)

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.396 0.000
C2 1.209 0.698 0.000
C3 1.209 -0.698 0.000
C4 0.000 -1.396 0.000
C5 -1.209 -0.698 0.000
C6 -1.209 0.698 0.000
H7 0.000 2.483 0.000
H8 2.150 1.241 0.000
H9 2.150 -1.241 0.000
H10 0.000 -2.483 0.000
H11 -2.150 -1.241 0.000
H12 -2.150 1.241 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.39642.41862.79282.41861.39641.08662.15593.40333.87943.40332.1559
C21.39641.39642.41862.79282.41862.15591.08662.15593.40333.87943.4033
C32.41861.39641.39642.41862.79283.40332.15591.08662.15593.40333.8794
C42.79282.41861.39641.39642.41863.87943.40332.15591.08662.15593.4033
C52.41862.79282.41861.39641.39643.40333.87943.40332.15591.08662.1559
C61.39642.41862.79282.41861.39642.15593.40333.87943.40332.15591.0866
H71.08662.15593.40333.87943.40332.15592.48304.30074.96604.30072.4830
H82.15591.08662.15593.40333.87943.40332.48302.48304.30074.96604.3007
H93.40332.15591.08662.15593.40333.87944.30072.48302.48304.30074.9660
H103.87943.40332.15591.08662.15593.40334.96604.30072.48302.48304.3007
H113.40333.87943.40332.15591.08662.15594.30074.96604.30072.48302.4830
H122.15593.40333.87943.40332.15591.08662.48304.30074.96604.30072.4830

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 B97D3/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.098      
2 C -0.098      
3 C -0.098      
4 C -0.098      
5 C -0.098      
6 C -0.098      
7 H 0.098      
8 H 0.098      
9 H 0.098      
10 H 0.098      
11 H 0.098      
12 H 0.098      


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 -32.201 0.000 0.000
y 0.000 -32.201 0.000
z 0.000 0.000 -39.775
Traceless
 xyz
x 3.787 0.000 0.000
y 0.000 3.787 0.000
z 0.000 0.000 -7.574
Polar
3z2-r2-15.149
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 12.271 0.000 0.000
y 0.000 12.272 0.000
z 0.000 0.000 6.715


<r2> (average value of r2) Å2
<r2> 128.876
(<r2>)1/2 11.352