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

using model chemistry: M06-2X/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 M06-2X/6-31G
 hartrees
Energy at 0K-231.948166
Energy at 298.15K 
HF Energy-231.948166
Nuclear repulsion energy207.953315
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 M06-2X/6-31G
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 3305 3305 5.24 253.42 0.03 0.06
2 A1 3192 3192 22.73 134.26 0.16 0.28
3 A1 1668 1668 0.14 26.59 0.07 0.14
4 A1 1198 1198 4.98 20.56 0.21 0.34
5 A1 1064 1064 2.42 15.10 0.74 0.85
6 A1 971 971 14.13 12.83 0.29 0.45
7 A1 881 881 0.09 7.81 0.75 0.85
8 A1 848 848 85.53 8.18 0.10 0.18
9 A1 403 403 4.51 12.62 0.63 0.78
10 A2 3266 3266 0.00 152.07 0.75 0.86
11 A2 1315 1315 0.00 4.29 0.75 0.86
12 A2 1238 1238 0.00 13.53 0.75 0.86
13 A2 995 995 0.00 0.00 0.75 0.86
14 A2 970 970 0.00 0.15 0.75 0.86
15 A2 803 803 0.00 5.03 0.75 0.86
16 A2 345 345 0.00 3.14 0.75 0.86
17 B1 3302 3302 32.91 51.85 0.75 0.86
18 B1 1640 1640 5.80 2.45 0.75 0.86
19 B1 1237 1237 0.23 2.94 0.75 0.86
20 B1 1122 1122 0.42 0.00 0.75 0.86
21 B1 1028 1028 0.12 10.63 0.75 0.86
22 B1 767 767 55.67 4.82 0.75 0.86
23 B2 3268 3268 13.10 41.21 0.75 0.86
24 B2 3184 3184 11.40 115.87 0.75 0.86
25 B2 1324 1324 34.40 0.00 0.75 0.86
26 B2 1191 1191 11.21 0.89 0.75 0.86
27 B2 1017 1017 2.22 0.67 0.75 0.86
28 B2 959 959 7.01 0.05 0.75 0.86
29 B2 855 855 9.32 2.52 0.75 0.86
30 B2 503 503 5.69 7.51 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21929.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21929.1 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 M06-2X/6-31G
ABC
0.25896 0.14814 0.11550

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.794 0.529
C2 0.000 -0.794 0.529
H3 0.000 1.363 1.457
H4 0.000 -1.363 1.457
C5 -1.307 0.671 -0.268
C6 1.307 0.671 -0.268
C7 1.307 -0.671 -0.268
C8 -1.307 -0.671 -0.268
H9 -1.950 1.420 -0.709
H10 1.950 1.420 -0.709
H11 1.950 -1.420 -0.709
H12 -1.950 -1.420 -0.709

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.58731.08852.34761.53581.53582.11892.11892.39332.39333.19953.1995
C21.58732.34761.08852.11892.11891.53581.53583.19953.19952.39332.3933
H31.08852.34762.72562.27192.27192.97012.97012.91482.91484.02984.0298
H42.34761.08852.72562.97012.97012.27192.27194.02984.02982.91482.9148
C51.53582.11892.27192.97012.61402.93871.34271.08113.37103.89592.2323
C61.53582.11892.27192.97012.61401.34272.93873.37101.08112.23233.8959
C72.11891.53582.97012.27192.93871.34272.61403.89592.23231.08113.3710
C82.11891.53582.97012.27191.34272.93872.61402.23233.89593.37101.0811
H92.39333.19952.91484.02981.08113.37103.89592.23233.90004.82492.8408
H102.39333.19952.91484.02983.37101.08112.23233.89593.90002.84084.8249
H113.19952.39334.02982.91483.89592.23231.08113.37104.82492.84083.9000
H123.19952.39334.02982.91482.23233.89593.37101.08112.84084.82493.9000

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 121.528 C1 C2 H7 85.433
C1 C2 H8 85.433 C1 C5 H8 94.567
C1 C5 H9 131.500 C1 C6 H7 94.567
C1 C6 H10 131.500 C2 C1 C3 121.528
C2 C1 C5 85.433 C2 C1 C6 85.433
C2 H7 C6 94.567 C2 H7 H11 131.500
C2 H8 C5 94.567 C2 H8 H12 131.500
C3 C1 C5 118.948 C3 C1 C6 118.948
C4 C2 H7 118.948 C4 C2 H8 118.948
C5 C1 C6 116.655 C5 H8 H12 133.854
C6 H7 H11 133.854 H7 C6 H10 133.854
H8 C5 H9 133.854
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.281      
2 C -0.281      
3 H 0.171      
4 H 0.171      
5 C -0.108      
6 C -0.108      
7 C -0.108      
8 C -0.108      
9 H 0.163      
10 H 0.163      
11 H 0.163      
12 H 0.163      


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 -0.023 0.023
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.091 0.000 0.000
y 0.000 -32.896 0.000
z 0.000 0.000 -35.868
Traceless
 xyz
x -0.709 0.000 0.000
y 0.000 2.584 0.000
z 0.000 0.000 -1.874
Polar
3z2-r2-3.749
x2-y2-2.195
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.018 0.000 0.000
y 0.000 9.190 0.000
z 0.000 0.000 5.467


<r2> (average value of r2) Å2
<r2> 119.329
(<r2>)1/2 10.924