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

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

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/6-311+G(3df,2p)
 hartrees
Energy at 0K-231.884394
Energy at 298.15K 
HF Energy-231.884394
Nuclear repulsion energy208.330716
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 PBEPBE/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 A1 3131 3105 9.32 342.16 0.03 0.07
2 A1 3027 3002 25.25 181.20 0.10 0.19
3 A1 1578 1565 0.15 67.02 0.01 0.02
4 A1 1141 1132 4.97 30.01 0.10 0.19
5 A1 996 988 2.44 8.21 0.63 0.77
6 A1 924 917 3.10 10.67 0.24 0.38
7 A1 852 845 0.52 4.10 0.47 0.64
8 A1 791 785 78.91 3.46 0.02 0.04
9 A1 378 375 5.07 5.00 0.53 0.69
10 A2 3097 3072 0.00 193.72 0.75 0.86
11 A2 1240 1230 0.00 6.27 0.75 0.86
12 A2 1152 1142 0.00 11.43 0.75 0.86
13 A2 934 926 0.00 0.86 0.75 0.86
14 A2 899 892 0.00 1.58 0.75 0.86
15 A2 762 756 0.00 1.50 0.75 0.86
16 A2 328 326 0.00 0.74 0.75 0.86
17 B1 3128 3102 42.54 77.18 0.75 0.86
18 B1 1551 1538 15.74 0.17 0.75 0.86
19 B1 1149 1140 0.71 2.38 0.75 0.86
20 B1 1068 1059 0.31 0.04 0.75 0.86
21 B1 977 969 0.01 5.64 0.75 0.86
22 B1 696 690 48.07 1.47 0.75 0.86
23 B2 3099 3073 28.73 50.39 0.75 0.86
24 B2 3021 2996 14.42 132.38 0.75 0.86
25 B2 1255 1245 37.55 0.00 0.75 0.86
26 B2 1117 1108 6.69 0.14 0.75 0.86
27 B2 932 924 2.62 1.04 0.75 0.86
28 B2 899 891 7.39 0.41 0.75 0.86
29 B2 807 800 11.95 0.30 0.75 0.86
30 B2 467 463 4.18 2.62 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20697.5 cm-1
Scaled (by 0.9918) Zero Point Vibrational Energy (zpe) 20527.8 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 PBEPBE/6-311+G(3df,2p)
ABC
0.26019 0.14893 0.11595

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.788 0.523
C2 0.000 -0.788 0.523
H3 0.000 1.353 1.464
H4 0.000 -1.353 1.464
C5 -1.304 0.672 -0.265
C6 1.304 0.672 -0.265
C7 1.304 -0.672 -0.265
C8 -1.304 -0.672 -0.265
H9 -1.950 1.428 -0.712
H10 1.950 1.428 -0.712
H11 1.950 -1.428 -0.712
H12 -1.950 -1.428 -0.712

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57651.09742.33911.52761.52762.11002.11002.39532.39533.19983.1998
C21.57652.33911.09742.11002.11001.52761.52763.19983.19982.39532.3953
H31.09742.33912.70672.26972.26972.96472.96472.92292.92294.03384.0338
H42.33911.09742.70672.96472.96472.26972.26974.03384.03382.92292.9229
C51.52762.11002.26972.96472.60722.93311.34391.09053.37013.89802.2419
C61.52762.11002.26972.96472.60721.34392.93313.37011.09052.24193.8980
C72.11001.52762.96472.26972.93311.34392.60723.89802.24191.09053.3701
C82.11001.52762.96472.26971.34392.93312.60722.24193.89803.37011.0905
H92.39533.19982.92294.03381.09053.37013.89802.24193.90014.83352.8552
H102.39533.19982.92294.03383.37011.09052.24193.89803.90012.85524.8335
H113.19982.39534.03382.92293.89802.24191.09053.37014.83352.85523.9001
H123.19982.39534.03382.92292.24193.89803.37011.09052.85524.83353.9001

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 120.994 C1 C2 H7 85.634
C1 C2 H8 85.634 C1 C5 H8 94.366
C1 C5 H9 131.665 C1 C6 H7 94.366
C1 C6 H10 131.665 C2 C1 C3 120.994
C2 C1 C5 85.634 C2 C1 C6 85.634
C2 H7 C6 94.366 C2 H7 H11 131.665
C2 H8 C5 94.366 C2 H8 H12 131.665
C3 C1 C5 118.771 C3 C1 C6 118.771
C4 C2 H7 118.771 C4 C2 H8 118.771
C5 C1 C6 117.156 C5 H8 H12 133.863
C6 H7 H11 133.863 H7 C6 H10 133.863
H8 C5 H9 133.863
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.322      
2 C -0.322      
3 H 0.072      
4 H 0.072      
5 C -0.006      
6 C -0.006      
7 C -0.006      
8 C -0.006      
9 H 0.131      
10 H 0.131      
11 H 0.131      
12 H 0.131      


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 -0.009 0.009
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.270 0.000 0.000
y 0.000 -33.202 0.000
z 0.000 0.000 -36.565
Traceless
 xyz
x -1.387 0.000 0.000
y 0.000 3.216 0.000
z 0.000 0.000 -1.830
Polar
3z2-r2-3.659
x2-y2-3.069
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.969 0.000 0.000
y 0.000 10.580 0.000
z 0.000 0.000 8.080


<r2> (average value of r2) Å2
<r2> 119.459
(<r2>)1/2 10.930