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

using model chemistry: mPW1PW91/daug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/daug-cc-pVTZ
 hartrees
Energy at 0K-232.143372
Energy at 298.15K 
HF Energy-232.143372
Nuclear repulsion energy209.824329
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 mPW1PW91/daug-cc-pVTZ
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 3228 3228 7.68 308.52 0.03 0.06
2 A1 3124 3124 25.53 165.49 0.11 0.19
3 A1 1645 1645 0.18 69.68 0.01 0.02
4 A1 1193 1193 5.11 29.15 0.10 0.18
5 A1 1043 1043 1.73 8.57 0.48 0.65
6 A1 964 964 6.54 12.20 0.24 0.38
7 A1 886 886 0.40 3.99 0.41 0.58
8 A1 827 827 80.84 3.91 0.03 0.06
9 A1 392 392 5.03 4.23 0.52 0.69
10 A2 3194 3194 0.00 167.68 0.75 0.86
11 A2 1301 1301 0.00 6.23 0.75 0.86
12 A2 1204 1204 0.00 9.58 0.75 0.86
13 A2 974 974 0.00 0.17 0.75 0.86
14 A2 951 951 0.00 1.78 0.75 0.86
15 A2 793 793 0.00 1.83 0.75 0.86
16 A2 341 341 0.00 0.81 0.75 0.86
17 B1 3225 3225 34.74 64.97 0.75 0.86
18 B1 1618 1618 14.21 0.08 0.75 0.86
19 B1 1211 1211 1.72 1.37 0.75 0.86
20 B1 1109 1109 0.35 0.00 0.75 0.86
21 B1 1014 1014 0.10 5.90 0.75 0.86
22 B1 732 732 47.32 0.92 0.75 0.86
23 B2 3195 3195 24.13 44.04 0.75 0.86
24 B2 3118 3118 14.36 119.59 0.75 0.86
25 B2 1309 1309 40.12 0.00 0.75 0.86
26 B2 1169 1169 6.77 0.16 0.75 0.86
27 B2 984 984 1.90 1.63 0.75 0.86
28 B2 939 939 7.96 0.14 0.75 0.86
29 B2 846 846 12.43 0.33 0.75 0.86
30 B2 492 492 5.10 2.23 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21508.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21508.9 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 mPW1PW91/daug-cc-pVTZ
ABC
0.26447 0.15071 0.11757

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.781 0.521
C2 0.000 -0.781 0.521
H3 0.000 1.344 1.452
H4 0.000 -1.344 1.452
C5 -1.296 0.666 -0.264
C6 1.296 0.666 -0.264
C7 1.296 -0.666 -0.264
C8 -1.296 -0.666 -0.264
H9 -1.940 1.413 -0.706
H10 1.940 1.413 -0.706
H11 1.940 -1.413 -0.706
H12 -1.940 -1.413 -0.706

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56281.08802.32031.51901.51902.09502.09502.38082.38083.17583.1758
C21.56282.32031.08802.09502.09501.51901.51903.17583.17582.38082.3808
H31.08802.32032.68732.25432.25432.94302.94302.90302.90304.00294.0029
H42.32031.08802.68732.94302.94302.25432.25434.00294.00292.90302.9030
C51.51902.09502.25432.94302.59132.91361.33201.08153.35023.87152.2214
C61.51902.09502.25432.94302.59131.33202.91363.35021.08152.22143.8715
C72.09501.51902.94302.25432.91361.33202.59133.87152.22141.08153.3502
C82.09501.51902.94302.25431.33202.91362.59132.22143.87153.35021.0815
H92.38083.17582.90304.00291.08153.35023.87152.22143.87994.80042.8267
H102.38083.17582.90304.00293.35021.08152.22143.87153.87992.82674.8004
H113.17582.38084.00292.90303.87152.22141.08153.35024.80042.82673.8799
H123.17582.38084.00292.90302.22143.87153.35021.08152.82674.80043.8799

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 121.115 C1 C2 H7 85.643
C1 C2 H8 85.643 C1 C5 H8 94.357
C1 C5 H9 131.837 C1 C6 H7 94.357
C1 C6 H10 131.837 C2 C1 C3 121.115
C2 C1 C5 85.643 C2 C1 C6 85.643
C2 H7 C6 94.357 C2 H7 H11 131.837
C2 H8 C5 94.357 C2 H8 H12 131.837
C3 C1 C5 118.772 C3 C1 C6 118.772
C4 C2 H7 118.772 C4 C2 H8 118.772
C5 C1 C6 117.079 C5 H8 H12 133.713
C6 H7 H11 133.713 H7 C6 H10 133.713
H8 C5 H9 133.713
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.018      
2 C 0.018      
3 H 0.378      
4 H 0.378      
5 C -0.784      
6 C -0.784      
7 C -0.784      
8 C -0.784      
9 H 0.586      
10 H 0.586      
11 H 0.586      
12 H 0.586      


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 -0.034 0.034
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.757 0.000 0.000
y 0.000 -32.721 0.000
z 0.000 0.000 -36.150
Traceless
 xyz
x -1.322 0.000 0.000
y 0.000 3.233 0.000
z 0.000 0.000 -1.911
Polar
3z2-r2-3.822
x2-y2-3.037
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.319 0.000 0.000
y 0.000 10.208 0.000
z 0.000 0.000 7.771


<r2> (average value of r2) Å2
<r2> 117.835
(<r2>)1/2 10.855