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

using model chemistry: HSEh1PBE/TZVP

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/TZVP
 hartrees
Energy at 0K-231.926998
Energy at 298.15K 
HF Energy-231.926998
Nuclear repulsion energy209.621491
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/TZVP
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 3231 3102 6.72 294.26 0.03 0.06
2 A1 3126 3001 24.68 162.50 0.11 0.20
3 A1 1647 1581 0.23 47.54 0.03 0.06
4 A1 1192 1145 5.76 24.33 0.13 0.24
5 A1 1041 1000 1.95 8.76 0.62 0.76
6 A1 964 925 6.66 9.98 0.26 0.41
7 A1 886 851 0.29 4.73 0.63 0.77
8 A1 824 791 85.46 6.01 0.05 0.10
9 A1 393 377 5.38 7.36 0.56 0.72
10 A2 3197 3069 0.00 166.46 0.75 0.86
11 A2 1299 1247 0.00 6.37 0.75 0.86
12 A2 1205 1157 0.00 10.67 0.75 0.86
13 A2 972 934 0.00 0.29 0.75 0.86
14 A2 944 907 0.00 1.32 0.75 0.86
15 A2 791 760 0.00 2.43 0.75 0.86
16 A2 339 326 0.00 1.75 0.75 0.86
17 B1 3228 3099 33.93 62.90 0.75 0.86
18 B1 1619 1554 11.79 0.70 0.75 0.86
19 B1 1211 1163 1.18 1.58 0.75 0.86
20 B1 1107 1063 0.56 0.01 0.75 0.86
21 B1 1014 973 0.01 6.78 0.75 0.86
22 B1 729 700 50.35 2.80 0.75 0.86
23 B2 3199 3071 21.12 44.79 0.75 0.86
24 B2 3119 2994 13.75 122.37 0.75 0.86
25 B2 1307 1254 40.79 0.01 0.75 0.86
26 B2 1167 1121 7.04 0.29 0.75 0.86
27 B2 976 937 1.87 1.19 0.75 0.86
28 B2 936 899 8.79 0.45 0.75 0.86
29 B2 844 810 13.23 0.85 0.75 0.86
30 B2 489 470 5.21 3.53 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21497.3 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 20639.6 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/TZVP
ABC
0.26415 0.15040 0.11727

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.782 0.520
C2 0.000 -0.782 0.520
H3 0.000 1.343 1.455
H4 0.000 -1.343 1.455
C5 -1.297 0.667 -0.264
C6 1.297 0.667 -0.264
C7 1.297 -0.667 -0.264
C8 -1.297 -0.667 -0.264
H9 -1.943 1.417 -0.704
H10 1.943 1.417 -0.704
H11 1.943 -1.417 -0.704
H12 -1.943 -1.417 -0.704

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56391.09032.32131.51971.51972.09642.09642.38262.38263.17943.1794
C21.56392.32131.09032.09642.09641.51971.51973.17943.17942.38262.3826
H31.09032.32132.68552.25652.25652.94502.94502.90552.90554.00664.0066
H42.32131.09032.68552.94502.94502.25652.25654.00664.00662.90552.9055
C51.51972.09642.25652.94502.59472.91731.33351.08353.35523.87762.2255
C61.51972.09642.25652.94502.59471.33352.91733.35521.08352.22553.8776
C72.09641.51972.94502.25652.91731.33352.59473.87762.22551.08353.3552
C82.09641.51972.94502.25651.33352.91732.59472.22553.87763.35521.0835
H92.38263.17942.90554.00661.08353.35523.87762.22553.88604.80952.8338
H102.38263.17942.90554.00663.35521.08352.22553.87763.88602.83384.8095
H113.17942.38264.00662.90553.87762.22551.08353.35524.80952.83383.8860
H123.17942.38264.00662.90552.22553.87763.35521.08352.83384.80953.8860

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 120.955 C1 C2 H7 85.653
C1 C2 H8 85.653 C1 C5 H8 94.347
C1 C5 H9 131.752 C1 C6 H7 94.347
C1 C6 H10 131.752 C2 C1 C3 120.955
C2 C1 C5 85.653 C2 C1 C6 85.653
C2 H7 C6 94.347 C2 H7 H11 131.752
C2 H8 C5 94.347 C2 H8 H12 131.752
C3 C1 C5 118.742 C3 C1 C6 118.742
C4 C2 H7 118.742 C4 C2 H8 118.742
C5 C1 C6 117.226 C5 H8 H12 133.814
C6 H7 H11 133.814 H7 C6 H10 133.814
H8 C5 H9 133.814
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.121      
2 C -0.121      
3 H 0.160      
4 H 0.160      
5 C -0.150      
6 C -0.150      
7 C -0.150      
8 C -0.150      
9 H 0.130      
10 H 0.130      
11 H 0.130      
12 H 0.130      


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 -0.036 0.036
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.637 0.000 0.000
y 0.000 -32.859 0.000
z 0.000 0.000 -36.177
Traceless
 xyz
x -1.120 0.000 0.000
y 0.000 3.048 0.000
z 0.000 0.000 -1.929
Polar
3z2-r2-3.857
x2-y2-2.779
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.706 0.000 0.000
y 0.000 10.048 0.000
z 0.000 0.000 7.149


<r2> (average value of r2) Å2
<r2> 118.053
(<r2>)1/2 10.865