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

using model chemistry: B3LYP/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-232.198779
Energy at 298.15K 
HF Energy-232.198779
Nuclear repulsion energy209.029110
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/aug-cc-pVTZ
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 3202 3098 8.76 314.13 0.03 0.06
2 A1 3097 2996 29.53 170.39 0.11 0.19
3 A1 1623 1570 0.11 70.13 0.01 0.02
4 A1 1175 1137 4.46 30.97 0.10 0.19
5 A1 1035 1001 2.40 8.21 0.56 0.71
6 A1 941 910 8.32 11.91 0.20 0.33
7 A1 862 834 0.32 4.20 0.49 0.66
8 A1 815 788 77.23 4.54 0.04 0.07
9 A1 390 377 5.00 4.38 0.51 0.68
10 A2 3169 3066 0.00 175.86 0.75 0.86
11 A2 1286 1244 0.00 4.97 0.75 0.86
12 A2 1204 1165 0.00 10.44 0.75 0.86
13 A2 956 925 0.00 0.02 0.75 0.86
14 A2 938 907 0.00 2.56 0.75 0.86
15 A2 791 765 0.00 2.04 0.75 0.86
16 A2 341 330 0.00 0.76 0.75 0.86
17 B1 3199 3095 37.91 69.48 0.75 0.86
18 B1 1597 1545 15.74 0.06 0.75 0.86
19 B1 1203 1164 1.99 1.79 0.75 0.86
20 B1 1099 1063 0.32 0.13 0.75 0.86
21 B1 993 960 0.52 5.78 0.75 0.86
22 B1 722 699 46.19 0.85 0.75 0.86
23 B2 3171 3068 27.14 47.78 0.75 0.86
24 B2 3091 2990 16.61 122.46 0.75 0.86
25 B2 1301 1258 37.87 0.01 0.75 0.86
26 B2 1163 1125 7.44 0.18 0.75 0.86
27 B2 974 942 2.65 1.69 0.75 0.86
28 B2 939 909 6.11 0.14 0.75 0.86
29 B2 832 805 11.10 0.34 0.75 0.86
30 B2 489 474 4.97 2.18 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21297.4 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 20605.2 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 B3LYP/aug-cc-pVTZ
ABC
0.26312 0.14920 0.11642

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.787 0.521
C2 0.000 -0.787 0.521
H3 0.000 1.351 1.452
H4 0.000 -1.351 1.452
C5 -1.303 0.667 -0.264
C6 1.303 0.667 -0.264
C7 1.303 -0.667 -0.264
C8 -1.303 -0.667 -0.264
H9 -1.950 1.413 -0.706
H10 1.950 1.413 -0.706
H11 1.950 -1.413 -0.706
H12 -1.950 -1.413 -0.706

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57351.08802.33131.52651.52652.10462.10462.38732.38733.18533.1853
C21.57352.33131.08802.10462.10461.52651.52653.18533.18532.38732.3873
H31.08802.33132.70182.26062.26062.95212.95212.90852.90854.01184.0118
H42.33131.08802.70182.95212.95212.26062.26064.01184.01182.90852.9085
C51.52652.10462.26062.95212.60672.92821.33411.08133.36643.88632.2224
C61.52652.10462.26062.95212.60671.33412.92823.36641.08132.22243.8863
C72.10461.52652.95212.26062.92821.33412.60673.88632.22241.08133.3664
C82.10461.52652.95212.26061.33412.92822.60672.22243.88633.36641.0813
H92.38733.18532.90854.01181.08133.36643.88632.22243.89914.81562.8260
H102.38733.18532.90854.01183.36641.08132.22243.88633.89912.82604.8156
H113.18532.38734.01182.90853.88632.22241.08133.36644.81562.82603.8991
H123.18532.38734.01182.90852.22243.88633.36641.08132.82604.81563.8991

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 121.234 C1 C2 H7 85.502
C1 C2 H8 85.502 C1 C5 H8 94.498
C1 C5 H9 131.789 C1 C6 H7 94.498
C1 C6 H10 131.789 C2 C1 C3 121.234
C2 C1 C5 85.502 C2 C1 C6 85.502
C2 H7 C6 94.498 C2 H7 H11 131.789
C2 H8 C5 94.498 C2 H8 H12 131.789
C3 C1 C5 118.731 C3 C1 C6 118.731
C4 C2 H7 118.731 C4 C2 H8 118.731
C5 C1 C6 117.260 C5 H8 H12 133.622
C6 H7 H11 133.622 H7 C6 H10 133.622
H8 C5 H9 133.622
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.020      
2 C 0.020      
3 H 0.314      
4 H 0.314      
5 C -0.603      
6 C -0.603      
7 C -0.603      
8 C -0.603      
9 H 0.437      
10 H 0.437      
11 H 0.437      
12 H 0.437      


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 -36.263 0.000 0.000
y 0.000 -33.243 0.000
z 0.000 0.000 -36.602
Traceless
 xyz
x -1.340 0.000 0.000
y 0.000 3.189 0.000
z 0.000 0.000 -1.849
Polar
3z2-r2-3.697
x2-y2-3.019
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.550 0.000 0.000
y 0.000 10.393 0.000
z 0.000 0.000 7.924


<r2> (average value of r2) Å2
<r2> 118.949
(<r2>)1/2 10.906