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All results from a given calculation for C6H6 (Benzene)

using model chemistry: B1B95/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D6H 1A1g
Energy calculated at B1B95/6-311G**
 hartrees
Energy at 0K-232.185991
Energy at 298.15K-232.192340
HF Energy-232.185991
Nuclear repulsion energy204.457956
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 B1B95/6-311G**
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 3223 3094 0.00 407.30 0.13 0.22
2 A1g 1030 989 0.00 58.46 0.09 0.16
3 A2g 1377 1322 0.00 0.00 0.75 0.86
4 A2u 692 664 113.08 0.00 0.00 0.00
5 B1u 3186 3059 0.00 0.00 0.00 0.00
6 B1u 1015 974 0.00 0.00 0.00 0.00
7 B2g 1024 983 0.00 0.00 0.75 0.86
8 B2g 724 695 0.00 0.00 0.75 0.86
9 B2u 1371 1317 0.00 0.00 0.00 0.00
10 B2u 1173 1126 0.00 0.00 0.00 0.00
11 E1g 869 835 0.00 0.82 0.75 0.86
11 E1g 869 835 0.00 0.82 0.75 0.86
12 E1u 3213 3084 39.17 0.00 0.00 0.00
12 E1u 3213 3084 39.13 0.00 0.00 0.00
13 E1u 1524 1463 8.84 0.00 0.00 0.00
13 E1u 1524 1463 8.89 0.00 0.00 0.00
14 E1u 1075 1032 5.55 0.00 0.00 0.00
14 E1u 1075 1032 5.57 0.00 0.00 0.00
15 E2g 3196 3069 0.00 141.51 0.75 0.86
15 E2g 3196 3069 0.00 141.51 0.75 0.86
16 E2g 1671 1605 0.00 8.81 0.75 0.86
16 E2g 1671 1605 0.00 8.80 0.75 0.86
17 E2g 1201 1153 0.00 6.88 0.75 0.86
17 E2g 1201 1153 0.00 6.88 0.75 0.86
18 E2g 614 590 0.00 4.01 0.75 0.86
18 E2g 614 590 0.00 4.01 0.75 0.86
19 E2u 991 952 0.00 0.00 0.00 0.00
19 E2u 991 952 0.00 0.00 0.00 0.00
20 E2u 410 393 0.00 0.00 0.00 0.00
20 E2u 410 393 0.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 22170.3 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 21285.7 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 B1B95/6-311G**
ABC
0.19212 0.19212 0.09606

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-311G**

Point Group is D6h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.387 0.000
C2 1.202 0.694 0.000
C3 1.202 -0.694 0.000
C4 0.000 -1.387 0.000
C5 -1.202 -0.694 0.000
C6 -1.202 0.694 0.000
H7 0.000 2.470 0.000
H8 2.139 1.235 0.000
H9 2.139 -1.235 0.000
H10 0.000 -2.470 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
C11.38742.40312.77492.40311.38741.08242.14443.38413.85733.38412.1444
C21.38741.38742.40312.77492.40312.14441.08242.14443.38413.85733.3841
C32.40311.38741.38742.40312.77493.38412.14441.08242.14443.38413.8573
C42.77492.40311.38741.38742.40313.85733.38412.14441.08242.14443.3841
C52.40312.77492.40311.38741.38743.38413.85733.38412.14441.08242.1444
C61.38742.40312.77492.40311.38742.14443.38413.85733.38412.14441.0824
H71.08242.14443.38413.85733.38412.14442.46984.27794.93974.27792.4698
H82.14441.08242.14443.38413.85733.38412.46982.46984.27794.93974.2779
H93.38412.14441.08242.14443.38413.85734.27792.46982.46984.27794.9397
H103.85733.38412.14441.08242.14443.38414.93974.27792.46982.46984.2779
H113.38413.85733.38412.14441.08242.14444.27794.93974.27792.46982.4698
H122.14443.38413.85733.38412.14441.08242.46984.27794.93974.27792.4698

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 B1B95/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.108      
2 C -0.108      
3 C -0.108      
4 C -0.108      
5 C -0.108      
6 C -0.108      
7 H 0.108      
8 H 0.108      
9 H 0.108      
10 H 0.108      
11 H 0.108      
12 H 0.108      


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 -31.357 0.000 0.000
y 0.000 -31.357 0.000
z 0.000 0.000 -39.421
Traceless
 xyz
x 4.032 0.000 0.000
y 0.000 4.032 0.000
z 0.000 0.000 -8.064
Polar
3z2-r2-16.129
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 10.912 0.000 0.000
y 0.000 10.909 0.000
z 0.000 0.000 4.176


<r2> (average value of r2) Å2
<r2> 127.164
(<r2>)1/2 11.277