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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G**
 hartrees
Energy at 0K-231.866226
Energy at 298.15K 
HF Energy-231.866226
Nuclear repulsion energy209.304159
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 HSEh1PBE/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 3249 3100 7.59 277.85 0.03 0.06
2 A1 3135 2992 31.51 148.30 0.14 0.25
3 A1 1668 1592 0.12 28.21 0.06 0.12
4 A1 1205 1150 4.82 17.45 0.21 0.35
5 A1 1051 1003 1.79 15.68 0.71 0.83
6 A1 974 929 5.77 12.00 0.29 0.45
7 A1 899 858 0.16 7.18 0.70 0.82
8 A1 828 791 71.62 5.86 0.16 0.28
9 A1 395 377 3.76 12.84 0.64 0.78
10 A2 3214 3067 0.00 168.58 0.75 0.86
11 A2 1315 1255 0.00 7.05 0.75 0.86
12 A2 1211 1156 0.00 12.57 0.75 0.86
13 A2 982 937 0.00 0.19 0.75 0.86
14 A2 942 899 0.00 0.05 0.75 0.86
15 A2 790 754 0.00 3.27 0.75 0.86
16 A2 338 323 0.00 2.81 0.75 0.86
17 B1 3246 3097 44.14 58.30 0.75 0.86
18 B1 1640 1565 8.74 2.32 0.75 0.86
19 B1 1227 1171 1.53 3.17 0.75 0.86
20 B1 1116 1065 0.01 0.04 0.75 0.86
21 B1 1025 978 0.02 9.66 0.75 0.86
22 B1 733 700 40.58 5.55 0.75 0.86
23 B2 3215 3068 25.73 43.55 0.75 0.86
24 B2 3128 2985 16.57 121.77 0.75 0.86
25 B2 1316 1256 36.25 0.01 0.75 0.86
26 B2 1176 1122 5.12 0.79 0.75 0.86
27 B2 975 930 2.49 0.53 0.75 0.86
28 B2 934 891 9.00 0.45 0.75 0.86
29 B2 850 811 9.20 2.26 0.75 0.86
30 B2 493 470 6.26 6.89 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21632.9 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 20644.2 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 HSEh1PBE/6-31G**
ABC
0.26355 0.14990 0.11687

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 1.342 1.457
H4 0.000 -1.342 1.457
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 1.421 -0.706
H10 1.946 1.421 -0.706
H11 1.946 -1.421 -0.706
H12 -1.946 -1.421 -0.706

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56191.09322.32091.52141.52142.09852.09852.38662.38663.18353.1835
C21.56192.32091.09322.09852.09851.52141.52143.18353.18352.38662.3866
H31.09322.32092.68362.25912.25912.94842.94842.91082.91084.01234.0123
H42.32091.09322.68362.94842.94842.25912.25914.01234.01232.91082.9108
C51.52142.09852.25912.94842.59992.92381.33761.08563.36083.88542.2315
C61.52142.09852.25912.94842.59991.33762.92383.36081.08562.23153.8854
C72.09851.52142.94842.25912.92381.33762.59993.88542.23151.08563.3608
C82.09851.52142.94842.25911.33762.92382.59992.23153.88543.36081.0856
H92.38663.18352.91084.01231.08563.36083.88542.23153.89114.81822.8417
H102.38663.18352.91084.01233.36081.08562.23153.88543.89112.84174.8182
H113.18352.38664.01232.91083.88542.23151.08563.36084.81822.84173.8911
H123.18352.38664.01232.91082.23153.88543.36081.08562.84174.81823.8911

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 120.867 C1 C2 H7 85.773
C1 C2 H8 85.773 C1 C5 H8 94.227
C1 C5 H9 131.829 C1 C6 H7 94.227
C1 C6 H10 131.829 C2 C1 C3 120.867
C2 C1 C5 85.773 C2 C1 C6 85.773
C2 H7 C6 94.227 C2 H7 H11 131.829
C2 H8 C5 94.227 C2 H8 H12 131.829
C3 C1 C5 118.636 C3 C1 C6 118.636
C4 C2 H7 118.636 C4 C2 H8 118.636
C5 C1 C6 117.399 C5 H8 H12 133.846
C6 H7 H11 133.846 H7 C6 H10 133.846
H8 C5 H9 133.846
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.196      
2 C -0.196      
3 H 0.134      
4 H 0.134      
5 C -0.084      
6 C -0.084      
7 C -0.084      
8 C -0.084      
9 H 0.114      
10 H 0.114      
11 H 0.114      
12 H 0.114      


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 -0.016 0.016
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.647 0.000 0.000
y 0.000 -32.389 0.000
z 0.000 0.000 -35.370
Traceless
 xyz
x -0.768 0.000 0.000
y 0.000 2.620 0.000
z 0.000 0.000 -1.852
Polar
3z2-r2-3.704
x2-y2-2.259
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.401 0.000 0.000
y 0.000 9.261 0.000
z 0.000 0.000 5.747


<r2> (average value of r2) Å2
<r2> 117.889
(<r2>)1/2 10.858