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

using model chemistry: B3LYP/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 B3LYP/3-21G*
 hartrees
Energy at 0K-230.835837
Energy at 298.15K 
HF Energy-230.835837
Nuclear repulsion energy206.960264
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 B3LYP/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 3260 3136 5.53 229.34 0.02 0.05
2 A1 3168 3048 20.78 114.27 0.18 0.31
3 A1 1612 1551 0.11 22.86 0.06 0.11
4 A1 1168 1124 5.87 19.68 0.26 0.41
5 A1 1042 1003 5.52 13.73 0.74 0.85
6 A1 929 894 9.50 11.99 0.26 0.41
7 A1 832 801 2.14 7.94 0.71 0.83
8 A1 820 789 74.54 6.80 0.07 0.13
9 A1 392 377 4.14 12.96 0.64 0.78
10 A2 3221 3098 0.00 139.25 0.75 0.86
11 A2 1287 1238 0.00 1.24 0.75 0.86
12 A2 1210 1164 0.00 15.10 0.75 0.86
13 A2 965 929 0.00 0.01 0.75 0.86
14 A2 914 879 0.00 0.08 0.75 0.86
15 A2 812 781 0.00 5.76 0.75 0.86
16 A2 355 342 0.00 3.27 0.75 0.86
17 B1 3256 3132 34.02 50.09 0.75 0.86
18 B1 1586 1525 6.61 2.54 0.75 0.86
19 B1 1204 1158 0.17 4.62 0.75 0.86
20 B1 1105 1063 0.09 0.93 0.75 0.86
21 B1 966 929 2.56 8.66 0.75 0.86
22 B1 741 713 57.19 3.27 0.75 0.86
23 B2 3223 3100 17.07 37.85 0.75 0.86
24 B2 3159 3039 9.18 110.84 0.75 0.86
25 B2 1306 1256 33.83 0.02 0.75 0.86
26 B2 1147 1104 11.87 0.86 0.75 0.86
27 B2 987 949 6.52 0.59 0.75 0.86
28 B2 969 932 0.47 0.05 0.75 0.86
29 B2 832 800 8.66 2.86 0.75 0.86
30 B2 496 477 5.96 7.25 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21481.1 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 20664.8 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 B3LYP/3-21G*
ABC
0.25195 0.14797 0.11588

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.807 0.555
C2 0.000 -0.807 0.555
H3 0.000 1.382 1.477
H4 0.000 -1.382 1.477
C5 -1.301 0.672 -0.277
C6 1.301 0.672 -0.277
C7 1.301 -0.672 -0.277
C8 -1.301 -0.672 -0.277
H9 -1.933 1.416 -0.739
H10 1.933 1.416 -0.739
H11 1.933 -1.416 -0.739
H12 -1.933 -1.416 -0.739

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.61361.08762.37581.54981.54982.13782.13782.40422.40423.21743.2174
C21.61362.37581.08762.13782.13781.54981.54983.21743.21742.40422.4042
H31.08762.37582.76502.29692.29692.99852.99852.94082.94084.05974.0597
H42.37581.08762.76502.99852.99852.29692.29694.05974.05972.94082.9408
C51.54982.13782.29692.99852.60122.92771.34371.08033.34983.87662.2302
C61.54982.13782.29692.99852.60121.34372.92773.34981.08032.23023.8766
C72.13781.54982.99852.29692.92771.34372.60123.87662.23021.08033.3498
C82.13781.54982.99852.29691.34372.92772.60122.23023.87663.34981.0803
H92.40423.21742.94084.05971.08033.34983.87662.23023.86524.79232.8330
H102.40423.21742.94084.05973.34981.08032.23023.87663.86522.83304.7923
H113.21742.40424.05972.94083.87662.23021.08033.34984.79232.83303.8652
H123.21742.40424.05972.94082.23023.87663.34981.08032.83304.79233.8652

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 121.959 C1 C2 H7 85.005
C1 C2 H8 85.005 C1 C5 H8 94.995
C1 C5 H9 131.326 C1 C6 H7 94.995
C1 C6 H10 131.326 C2 C1 C3 121.959
C2 C1 C5 85.005 C2 C1 C6 85.005
C2 H7 C6 94.995 C2 H7 H11 131.326
C2 H8 C5 94.995 C2 H8 H12 131.326
C3 C1 C5 120.103 C3 C1 C6 120.103
C4 C2 H7 120.103 C4 C2 H8 120.103
C5 C1 C6 114.108 C5 H8 H12 133.574
C6 H7 H11 133.574 H7 C6 H10 133.574
H8 C5 H9 133.574
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.296      
2 C -0.296      
3 H 0.189      
4 H 0.189      
5 C -0.118      
6 C -0.118      
7 C -0.118      
8 C -0.118      
9 H 0.171      
10 H 0.171      
11 H 0.171      
12 H 0.171      


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 -35.278 0.000 0.000
y 0.000 -32.841 0.000
z 0.000 0.000 -35.961
Traceless
 xyz
x -0.877 0.000 0.000
y 0.000 2.779 0.000
z 0.000 0.000 -1.901
Polar
3z2-r2-3.803
x2-y2-2.437
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.664 0.000 0.000
y 0.000 8.859 0.000
z 0.000 0.000 5.175


<r2> (average value of r2) Å2
<r2> 119.786
(<r2>)1/2 10.945