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

using model chemistry: BLYP/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 BLYP/6-31G(2df,p)
 hartrees
Energy at 0K-232.013726
Energy at 298.15K 
HF Energy-232.013726
Nuclear repulsion energy206.969316
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 BLYP/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 3133 3116 11.16 294.78 0.04 0.07
2 A1 3020 3004 39.10 148.35 0.14 0.24
3 A1 1571 1562 0.01 28.12 0.05 0.09
4 A1 1139 1133 3.22 18.76 0.25 0.40
5 A1 1002 996 3.57 16.54 0.75 0.86
6 A1 905 900 5.13 12.68 0.21 0.35
7 A1 837 833 0.34 6.51 0.75 0.86
8 A1 794 790 51.39 6.35 0.09 0.16
9 A1 380 378 2.39 12.36 0.63 0.77
10 A2 3097 3080 0.00 186.54 0.75 0.86
11 A2 1235 1228 0.00 3.95 0.75 0.86
12 A2 1151 1144 0.00 14.80 0.75 0.86
13 A2 916 911 0.00 0.78 0.75 0.86
14 A2 884 879 0.00 0.09 0.75 0.86
15 A2 768 764 0.00 3.51 0.75 0.86
16 A2 331 329 0.00 2.29 0.75 0.86
17 B1 3129 3112 56.50 64.74 0.75 0.86
18 B1 1545 1537 12.57 2.08 0.75 0.86
19 B1 1158 1151 2.46 4.98 0.75 0.86
20 B1 1068 1063 0.07 0.91 0.75 0.86
21 B1 960 954 0.53 8.30 0.75 0.86
22 B1 705 701 32.65 4.71 0.75 0.86
23 B2 3099 3082 36.45 48.28 0.75 0.86
24 B2 3013 2996 20.65 122.18 0.75 0.86
25 B2 1253 1247 31.70 0.09 0.75 0.86
26 B2 1112 1106 1.78 0.87 0.75 0.86
27 B2 926 921 7.57 0.01 0.75 0.86
28 B2 896 891 1.51 0.24 0.75 0.86
29 B2 796 792 6.80 2.74 0.75 0.86
30 B2 474 471 5.47 6.09 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20647.7 cm-1
Scaled (by 0.9945) Zero Point Vibrational Energy (zpe) 20534.1 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 BLYP/6-31G(2df,p)
ABC
0.25798 0.14631 0.11402

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.795 0.525
C2 0.000 -0.795 0.525
H3 0.000 1.366 1.463
H4 0.000 -1.366 1.463
C5 -1.317 0.674 -0.266
C6 1.317 0.674 -0.266
C7 1.317 -0.674 -0.266
C8 -1.317 -0.674 -0.266
H9 -1.965 1.430 -0.711
H10 1.965 1.430 -0.711
H11 1.965 -1.430 -0.711
H12 -1.965 -1.430 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.59001.09832.35621.54121.54122.12582.12582.40662.40663.21563.2156
C21.59002.35621.09832.12582.12581.54121.54123.21563.21562.40662.4066
H31.09832.35622.73302.28112.28112.98122.98122.93112.93114.05074.0507
H42.35621.09832.73302.98122.98122.28112.28114.05074.05072.93112.9311
C51.54122.12582.28112.98122.63472.95951.34811.09053.39743.92412.2462
C61.54122.12582.28112.98122.63471.34812.95953.39741.09052.24623.9241
C72.12581.54122.98122.28112.95951.34812.63473.92412.24621.09053.3974
C82.12581.54122.98122.28111.34812.95952.63472.24623.92413.39741.0905
H92.40663.21562.93114.05071.09053.39743.92412.24623.92974.86042.8603
H102.40663.21562.93114.05073.39741.09052.24623.92413.92972.86034.8604
H113.21562.40664.05072.93113.92412.24621.09053.39744.86042.86033.9297
H123.21562.40664.05072.93112.24623.92413.39741.09052.86034.86043.9297

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 121.353 C1 C2 H7 85.498
C1 C2 H8 85.498 C1 C5 H8 94.502
C1 C5 H9 131.499 C1 C6 H7 94.502
C1 C6 H10 131.499 C2 C1 C3 121.353
C2 C1 C5 85.498 C2 C1 C6 85.498
C2 H7 C6 94.502 C2 H7 H11 131.499
C2 H8 C5 94.502 C2 H8 H12 131.499
C3 C1 C5 118.621 C3 C1 C6 118.621
C4 C2 H7 118.621 C4 C2 H8 118.621
C5 C1 C6 117.460 C5 H8 H12 133.895
C6 H7 H11 133.895 H7 C6 H10 133.895
H8 C5 H9 133.895
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.080      
2 C -0.080      
3 H 0.063      
4 H 0.063      
5 C -0.069      
6 C -0.069      
7 C -0.069      
8 C -0.069      
9 H 0.077      
10 H 0.077      
11 H 0.077      
12 H 0.077      


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 -0.021 0.021
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.029 0.000 0.000
y 0.000 -32.898 0.000
z 0.000 0.000 -35.532
Traceless
 xyz
x -0.814 0.000 0.000
y 0.000 2.382 0.000
z 0.000 0.000 -1.568
Polar
3z2-r2-3.136
x2-y2-2.131
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.130 0.000 0.000
y 0.000 9.528 0.000
z 0.000 0.000 6.222


<r2> (average value of r2) Å2
<r2> 120.341
(<r2>)1/2 10.970