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All results from a given calculation for C6H6 (Dewar Benzene)

using model chemistry: PBE1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-231.838600
Energy at 298.15K 
HF Energy-231.838600
Nuclear repulsion energy209.244650
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 PBE1PBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3254 3102 7.85 271.24 0.03 0.07
2 A1 3142 2995 31.77 145.75 0.15 0.25
3 A1 1670 1592 0.16 27.64 0.06 0.12
4 A1 1208 1151 5.01 17.17 0.21 0.35
5 A1 1054 1005 1.70 14.85 0.71 0.83
6 A1 976 930 5.71 11.64 0.30 0.46
7 A1 901 859 0.11 6.89 0.70 0.82
8 A1 828 789 73.97 5.84 0.15 0.27
9 A1 394 376 4.11 12.53 0.64 0.78
10 A2 3220 3069 0.00 166.14 0.75 0.86
11 A2 1319 1258 0.00 7.38 0.75 0.86
12 A2 1218 1161 0.00 11.75 0.75 0.86
13 A2 984 938 0.00 0.23 0.75 0.86
14 A2 939 895 0.00 0.10 0.75 0.86
15 A2 791 754 0.00 3.25 0.75 0.86
16 A2 338 323 0.00 2.85 0.75 0.86
17 B1 3251 3098 46.72 58.00 0.75 0.86
18 B1 1642 1565 8.54 2.21 0.75 0.86
19 B1 1235 1177 1.54 3.16 0.75 0.86
20 B1 1120 1067 0.04 0.05 0.75 0.86
21 B1 1027 979 0.02 9.28 0.75 0.86
22 B1 732 698 42.36 5.20 0.75 0.86
23 B2 3221 3070 28.45 43.04 0.75 0.86
24 B2 3135 2988 16.55 120.76 0.75 0.86
25 B2 1319 1257 36.79 0.01 0.75 0.86
26 B2 1180 1124 5.10 0.82 0.75 0.86
27 B2 973 927 2.59 0.67 0.75 0.86
28 B2 935 891 9.33 0.49 0.75 0.86
29 B2 850 811 9.60 2.08 0.75 0.86
30 B2 493 470 6.24 6.79 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21675.3 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 20658.7 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 PBE1PBE/6-31G**
ABC
0.26342 0.14982 0.11680

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.781 0.519
C2 0.000 -0.781 0.519
H3 0.000 1.341 1.458
H4 0.000 -1.341 1.458
C5 -1.300 0.669 -0.263
C6 1.300 0.669 -0.263
C7 1.300 -0.669 -0.263
C8 -1.300 -0.669 -0.263
H9 -1.946 1.422 -0.707
H10 1.946 1.422 -0.707
H11 1.946 -1.422 -0.707
H12 -1.946 -1.422 -0.707

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56211.09382.32101.52171.52172.09892.09892.38752.38753.18483.1848
C21.56212.32101.09382.09892.09891.52171.52173.18483.18482.38752.3875
H31.09382.32102.68272.25992.25992.94902.94902.91252.91254.01404.0140
H42.32101.09382.68272.94902.94902.25992.25994.01404.01402.91252.9125
C51.52172.09892.25992.94902.60072.92471.33791.08663.36173.88672.2329
C61.52172.09892.25992.94902.60071.33792.92473.36171.08662.23293.8867
C72.09891.52172.94902.25992.92471.33792.60073.88672.23291.08663.3617
C82.09891.52172.94902.25991.33792.92472.60072.23293.88673.36171.0866
H92.38753.18482.91254.01401.08663.36173.88672.23293.89144.81992.8440
H102.38753.18482.91254.01403.36171.08662.23293.88673.89142.84404.8199
H113.18482.38754.01402.91253.88672.23291.08663.36174.81992.84403.8914
H123.18482.38754.01402.91252.23293.88673.36171.08662.84404.81993.8914

picture of Dewar Benzene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 120.811 C1 C2 H7 85.775
C1 C2 H8 85.775 C1 C5 H8 94.225
C1 C5 H9 131.800 C1 C6 H7 94.225
C1 C6 H10 131.800 C2 C1 C3 120.811
C2 C1 C5 85.775 C2 C1 C6 85.775
C2 H7 C6 94.225 C2 H7 H11 131.800
C2 H8 C5 94.225 C2 H8 H12 131.800
C3 C1 C5 118.639 C3 C1 C6 118.639
C4 C2 H7 118.639 C4 C2 H8 118.639
C5 C1 C6 117.422 C5 H8 H12 133.872
C6 H7 H11 133.872 H7 C6 H10 133.872
H8 C5 H9 133.872
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.241      
2 C -0.241      
3 H 0.179      
4 H 0.179      
5 C -0.130      
6 C -0.130      
7 C -0.130      
8 C -0.130      
9 H 0.160      
10 H 0.160      
11 H 0.160      
12 H 0.160      


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 -0.026 0.026
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.635 0.000 0.000
y 0.000 -32.338 0.000
z 0.000 0.000 -35.392
Traceless
 xyz
x -0.770 0.000 0.000
y 0.000 2.675 0.000
z 0.000 0.000 -1.905
Polar
3z2-r2-3.811
x2-y2-2.297
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.322 0.000 0.000
y 0.000 9.183 0.000
z 0.000 0.000 5.682


<r2> (average value of r2) Å2
<r2> 117.936
(<r2>)1/2 10.860