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

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-230.752980
Energy at 298.15K 
HF Energy-230.752980
Nuclear repulsion energy207.366653
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 B3PW91/3-21G
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 3270 3143 4.86      
2 A1 3180 3056 16.72      
3 A1 1616 1553 0.22      
4 A1 1171 1125 7.64      
5 A1 1044 1003 5.19      
6 A1 941 904 8.16      
7 A1 848 815 0.47      
8 A1 827 795 87.22      
9 A1 394 379 4.91      
10 A2 3229 3104 0.00      
11 A2 1285 1235 0.00      
12 A2 1204 1158 0.00      
13 A2 966 928 0.00      
14 A2 926 890 0.00      
15 A2 812 780 0.00      
16 A2 354 340 0.00      
17 B1 3265 3139 31.06      
18 B1 1589 1527 5.58      
19 B1 1200 1153 0.01      
20 B1 1104 1061 0.42      
21 B1 981 943 1.88      
22 B1 745 716 65.55      
23 B2 3232 3106 14.85      
24 B2 3170 3047 7.54      
25 B2 1302 1252 36.84      
26 B2 1146 1101 13.30      
27 B2 986 948 5.87      
28 B2 966 929 1.25      
29 B2 839 807 11.00      
30 B2 496 477 5.87      

Unscaled Zero Point Vibrational Energy (zpe) 21543.5 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 20707.6 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 B3PW91/3-21G
ABC
0.25199 0.14905 0.11668

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.804 0.556
C2 0.000 -0.804 0.556
H3 0.000 1.379 1.480
H4 0.000 -1.379 1.480
C5 -1.294 0.672 -0.278
C6 1.294 0.672 -0.278
C7 1.294 -0.672 -0.278
C8 -1.294 -0.672 -0.278
H9 -1.925 1.418 -0.741
H10 1.925 1.418 -0.741
H11 1.925 -1.418 -0.741
H12 -1.925 -1.418 -0.741

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.60761.08852.37021.54531.54532.13292.13292.40132.40133.21343.2134
C21.60762.37021.08852.13292.13291.54531.54533.21343.21342.40132.4013
H31.08852.37022.75762.29472.29472.99552.99552.93982.93984.05764.0576
H42.37021.08852.75762.99552.99552.29472.29474.05764.05762.93982.9398
C51.54532.13292.29472.99552.58852.91691.34451.08123.33683.86632.2322
C61.54532.13292.29472.99552.58851.34452.91693.33681.08122.23223.8663
C72.13291.54532.99552.29472.91691.34452.58853.86632.23221.08123.3368
C82.13291.54532.99552.29471.34452.91692.58852.23223.86633.33681.0812
H92.40133.21342.93984.05761.08123.33683.86632.23223.84994.78192.8364
H102.40133.21342.93984.05763.33681.08122.23223.86633.84992.83644.7819
H113.21342.40134.05762.93983.86632.23221.08123.33684.78192.83643.8499
H123.21342.40134.05762.93982.23223.86633.33681.08122.83644.78193.8499

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 121.887 C1 C2 H7 85.118
C1 C2 H8 85.118 C1 C5 H8 94.882
C1 C5 H9 131.389 C1 C6 H7 94.882
C1 C6 H10 131.389 C2 C1 C3 121.887
C2 C1 C5 85.118 C2 C1 C6 85.118
C2 H7 C6 94.882 C2 H7 H11 131.389
C2 H8 C5 94.882 C2 H8 H12 131.389
C3 C1 C5 120.212 C3 C1 C6 120.212
C4 C2 H7 120.212 C4 C2 H8 120.212
C5 C1 C6 113.765 C5 H8 H12 133.626
C6 H7 H11 133.626 H7 C6 H10 133.626
H8 C5 H9 133.626
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.335      
2 C -0.335      
3 H 0.218      
4 H 0.218      
5 C -0.141      
6 C -0.141      
7 C -0.141      
8 C -0.141      
9 H 0.199      
10 H 0.199      
11 H 0.199      
12 H 0.199      


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 -0.050 0.050
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.156 0.000 0.000
y 0.000 -32.554 0.000
z 0.000 0.000 -35.822
Traceless
 xyz
x -0.968 0.000 0.000
y 0.000 2.935 0.000
z 0.000 0.000 -1.967
Polar
3z2-r2-3.934
x2-y2-2.602
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.634 0.000 0.000
y 0.000 8.857 0.000
z 0.000 0.000 5.188


<r2> (average value of r2) Å2
<r2> 119.171
(<r2>)1/2 10.917