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

using model chemistry: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-37.315260
Energy at 298.15K 
HF Energy-37.315260
Nuclear repulsion energy104.024695
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/CEP-121G
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 3196 3115 12.56 312.59 0.03 0.06
2 A1 3087 3008 55.30 154.37 0.15 0.26
3 A1 1577 1536 0.04 38.71 0.05 0.09
4 A1 1164 1134 4.93 33.02 0.14 0.24
5 A1 1034 1008 1.72 14.01 0.73 0.85
6 A1 937 913 17.72 11.91 0.25 0.40
7 A1 851 829 0.06 6.91 0.74 0.85
8 A1 811 790 98.64 9.77 0.04 0.08
9 A1 389 379 6.01 11.37 0.58 0.73
10 A2 3153 3073 0.00 188.29 0.75 0.86
11 A2 1272 1239 0.00 5.82 0.75 0.86
12 A2 1202 1171 0.00 14.29 0.75 0.86
13 A2 941 917 0.00 0.01 0.75 0.86
14 A2 930 907 0.00 2.11 0.75 0.86
15 A2 796 776 0.00 3.96 0.75 0.86
16 A2 334 326 0.00 2.58 0.75 0.86
17 B1 3192 3111 64.25 70.95 0.75 0.86
18 B1 1547 1507 13.84 1.91 0.75 0.86
19 B1 1201 1170 1.13 2.13 0.75 0.86
20 B1 1092 1064 1.12 0.00 0.75 0.86
21 B1 995 969 0.71 9.96 0.75 0.86
22 B1 732 713 62.00 4.20 0.75 0.86
23 B2 3155 3075 39.43 46.99 0.75 0.86
24 B2 3076 2997 23.47 138.96 0.75 0.86
25 B2 1284 1251 36.96 0.00 0.75 0.86
26 B2 1157 1128 8.54 0.67 0.75 0.86
27 B2 960 936 6.13 0.61 0.75 0.86
28 B2 948 923 2.20 0.87 0.75 0.86
29 B2 823 802 11.86 1.50 0.75 0.86
30 B2 488 476 5.48 5.82 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21160.6 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 20621.0 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/CEP-121G
ABC
0.25332 0.14411 0.11221

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.803 0.533
C2 0.000 -0.803 0.533
H3 0.000 1.379 1.463
H4 0.000 -1.379 1.463
C5 -1.327 0.682 -0.270
C6 1.327 0.682 -0.270
C7 1.327 -0.682 -0.270
C8 -1.327 -0.682 -0.270
H9 -1.978 1.433 -0.709
H10 1.978 1.433 -0.709
H11 1.978 -1.433 -0.709
H12 -1.978 -1.433 -0.709

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.60681.09422.37241.55581.55582.14732.14732.41912.41913.23373.2337
C21.60682.37241.09422.14732.14731.55581.55583.23373.23372.41912.4191
H31.09422.37242.75782.29162.29163.00183.00182.93872.93874.06684.0668
H42.37241.09422.75783.00183.00182.29162.29164.06684.06682.93872.9387
C51.55582.14732.29163.00182.65452.98411.36331.08693.41823.94852.2556
C61.55582.14732.29163.00182.65451.36332.98413.41821.08692.25563.9485
C72.14731.55583.00182.29162.98411.36332.65453.94852.25561.08693.4182
C82.14731.55583.00182.29161.36332.98412.65452.25563.94853.41821.0869
H92.41913.23372.93874.06681.08693.41823.94852.25563.95674.88542.8657
H102.41913.23372.93874.06683.41821.08692.25563.94853.95672.86574.8854
H113.23372.41914.06682.93873.94852.25561.08693.41824.88542.86573.9567
H123.23372.41914.06682.93872.25563.94853.41821.08692.86574.88543.9567

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 121.735 C1 C2 H7 85.512
C1 C2 H8 85.512 C1 C5 H8 94.488
C1 C5 H9 131.718 C1 C6 H7 94.488
C1 C6 H10 131.718 C2 C1 C3 121.735
C2 C1 C5 85.512 C2 C1 C6 85.512
C2 H7 C6 94.488 C2 H7 H11 131.718
C2 H8 C5 94.488 C2 H8 H12 131.718
C3 C1 C5 118.677 C3 C1 C6 118.677
C4 C2 H7 118.677 C4 C2 H8 118.677
C5 C1 C6 117.103 C5 H8 H12 133.725
C6 H7 H11 133.725 H7 C6 H10 133.725
H8 C5 H9 133.725
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.215      
2 C -0.215      
3 H 0.158      
4 H 0.158      
5 C -0.144      
6 C -0.144      
7 C -0.144      
8 C -0.144      
9 H 0.173      
10 H 0.173      
11 H 0.173      
12 H 0.173      


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 -0.030 0.030
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.947 0.000 0.000
y 0.000 -33.094 0.000
z 0.000 0.000 -36.533
Traceless
 xyz
x -1.134 0.000 0.000
y 0.000 3.146 0.000
z 0.000 0.000 -2.012
Polar
3z2-r2-4.024
x2-y2-2.854
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.456 0.000 0.000
y 0.000 10.296 0.000
z 0.000 0.000 6.679


<r2> (average value of r2) Å2
<r2> 100.161
(<r2>)1/2 10.008