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

using model chemistry: B3LYPultrafine/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYPultrafine/6-31G(2df,p)
 hartrees
Energy at 0K-232.130668
Energy at 298.15K 
HF Energy-232.130668
Nuclear repulsion energy208.585334
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 B3LYPultrafine/6-31G(2df,p)
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 3216 3104 8.90 272.26 0.04 0.07
2 A1 3102 2993 35.33 140.46 0.14 0.24
3 A1 1634 1577 0.04 29.09 0.05 0.10
4 A1 1184 1143 3.83 18.34 0.22 0.36
5 A1 1039 1003 2.84 14.88 0.73 0.84
6 A1 945 912 6.66 13.00 0.23 0.37
7 A1 874 844 0.18 6.63 0.72 0.84
8 A1 824 795 55.79 6.23 0.09 0.16
9 A1 392 378 2.74 10.76 0.63 0.77
10 A2 3180 3069 0.00 168.65 0.75 0.86
11 A2 1286 1241 0.00 4.57 0.75 0.86
12 A2 1195 1153 0.00 13.11 0.75 0.86
13 A2 957 923 0.00 0.34 0.75 0.86
14 A2 931 898 0.00 0.16 0.75 0.86
15 A2 791 764 0.00 3.46 0.75 0.86
16 A2 340 328 0.00 2.28 0.75 0.86
17 B1 3213 3100 45.93 58.54 0.75 0.86
18 B1 1607 1551 10.25 1.78 0.75 0.86
19 B1 1205 1163 2.98 3.27 0.75 0.86
20 B1 1103 1065 0.00 0.21 0.75 0.86
21 B1 1000 965 0.46 9.04 0.75 0.86
22 B1 733 708 33.99 4.06 0.75 0.86
23 B2 3182 3070 28.81 44.15 0.75 0.86
24 B2 3095 2986 19.08 116.15 0.75 0.86
25 B2 1298 1252 34.29 0.06 0.75 0.86
26 B2 1158 1118 2.52 0.81 0.75 0.86
27 B2 965 932 5.07 0.20 0.75 0.86
28 B2 932 900 4.52 0.21 0.75 0.86
29 B2 833 804 7.74 2.41 0.75 0.86
30 B2 492 475 6.12 5.70 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21353.2 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 20605.9 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 B3LYPultrafine/6-31G(2df,p)
ABC
0.26211 0.14853 0.11589

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.787 0.522
C2 0.000 -0.787 0.522
H3 0.000 1.354 1.454
H4 0.000 -1.354 1.454
C5 -1.307 0.669 -0.264
C6 1.307 0.669 -0.264
C7 1.307 -0.669 -0.264
C8 -1.307 -0.669 -0.264
H9 -1.952 1.419 -0.706
H10 1.952 1.419 -0.706
H11 1.952 -1.419 -0.706
H12 -1.952 -1.419 -0.706

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57411.09142.33561.52981.52982.10842.10842.39112.39113.19143.1914
C21.57412.33561.09142.10842.10841.52981.52983.19143.19142.39112.3911
H31.09142.33562.70882.26552.26552.95892.95892.91232.91234.02134.0213
H42.33561.09142.70882.95892.95892.26552.26554.02134.02132.91232.9123
C51.52982.10842.26552.95892.61352.93581.33721.08373.37283.89502.2294
C61.52982.10842.26552.95892.61351.33722.93583.37281.08372.22943.8950
C72.10841.52982.95892.26552.93581.33722.61353.89502.22941.08373.3728
C82.10841.52982.95892.26551.33722.93582.61352.22943.89503.37281.0837
H92.39113.19142.91234.02131.08373.37283.89502.22943.90314.82622.8386
H102.39113.19142.91234.02133.37281.08372.22943.89503.90312.83864.8262
H113.19142.39114.02132.91233.89502.22941.08373.37284.82622.83863.9031
H123.19142.39114.02132.91232.22943.89503.37281.08372.83864.82623.9031

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 121.323 C1 C2 H7 85.560
C1 C2 H8 85.560 C1 C5 H8 94.440
C1 C5 H9 131.622 C1 C6 H7 94.440
C1 C6 H10 131.622 C2 C1 C3 121.323
C2 C1 C5 85.560 C2 C1 C6 85.560
C2 H7 C6 94.440 C2 H7 H11 131.622
C2 H8 C5 94.440 C2 H8 H12 131.622
C3 C1 C5 118.649 C3 C1 C6 118.649
C4 C2 H7 118.649 C4 C2 H8 118.649
C5 C1 C6 117.345 C5 H8 H12 133.843
C6 H7 H11 133.843 H7 C6 H10 133.843
H8 C5 H9 133.843
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.099      
2 C -0.099      
3 H 0.084      
4 H 0.084      
5 C -0.091      
6 C -0.091      
7 C -0.091      
8 C -0.091      
9 H 0.099      
10 H 0.099      
11 H 0.099      
12 H 0.099      


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 -0.042 0.042
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.814 0.000 0.000
y 0.000 -32.595 0.000
z 0.000 0.000 -35.415
Traceless
 xyz
x -0.809 0.000 0.000
y 0.000 2.519 0.000
z 0.000 0.000 -1.710
Polar
3z2-r2-3.421
x2-y2-2.218
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.755 0.000 0.000
y 0.000 9.338 0.000
z 0.000 0.000 6.066


<r2> (average value of r2) Å2
<r2> 118.689
(<r2>)1/2 10.894