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

using model chemistry: PBE1PBE/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBE1PBE/6-311G**
 hartrees
Energy at 0K-231.891847
Energy at 298.15K 
HF Energy-231.891847
Nuclear repulsion energy209.436812
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 PBE1PBE/6-311G**
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 3228 3097 7.68 287.91 0.04 0.07
2 A1 3123 2996 31.36 162.97 0.13 0.23
3 A1 1649 1582 0.11 35.35 0.06 0.11
4 A1 1195 1146 5.80 20.18 0.15 0.27
5 A1 1041 998 1.59 10.69 0.65 0.79
6 A1 968 929 6.11 10.27 0.29 0.45
7 A1 891 855 0.06 5.34 0.67 0.80
8 A1 824 791 83.76 4.92 0.09 0.17
9 A1 392 377 5.06 9.95 0.61 0.76
10 A2 3193 3064 0.00 176.97 0.75 0.86
11 A2 1299 1246 0.00 7.23 0.75 0.86
12 A2 1198 1149 0.00 10.52 0.75 0.86
13 A2 974 934 0.00 0.14 0.75 0.86
14 A2 945 907 0.00 0.69 0.75 0.86
15 A2 792 760 0.00 2.60 0.75 0.86
16 A2 339 325 0.00 2.10 0.75 0.86
17 B1 3225 3094 38.71 70.07 0.75 0.86
18 B1 1621 1556 9.27 1.75 0.75 0.86
19 B1 1211 1162 1.31 1.63 0.75 0.86
20 B1 1105 1060 0.42 0.12 0.75 0.86
21 B1 1015 974 0.00 7.35 0.75 0.86
22 B1 728 699 49.01 4.14 0.75 0.86
23 B2 3195 3065 25.23 46.24 0.75 0.86
24 B2 3115 2989 14.61 129.88 0.75 0.86
25 B2 1301 1249 40.55 0.01 0.75 0.86
26 B2 1164 1117 6.24 0.55 0.75 0.86
27 B2 977 937 1.95 1.06 0.75 0.86
28 B2 936 898 8.83 0.36 0.75 0.86
29 B2 846 812 13.02 1.26 0.75 0.86
30 B2 491 471 5.63 5.24 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21490.7 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 20618.1 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 PBE1PBE/6-311G**
ABC
0.26340 0.15022 0.11718

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.782 0.522
C2 0.000 -0.782 0.522
H3 0.000 1.344 1.457
H4 0.000 -1.344 1.457
C5 -1.298 0.668 -0.264
C6 1.298 0.668 -0.264
C7 1.298 -0.668 -0.264
C8 -1.298 -0.668 -0.264
H9 -1.943 1.418 -0.708
H10 1.943 1.418 -0.708
H11 1.943 -1.418 -0.708
H12 -1.943 -1.418 -0.708

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56351.09162.32251.52131.52132.09822.09822.38582.38583.18223.1822
C21.56352.32251.09162.09822.09821.52131.52133.18223.18222.38582.3858
H31.09162.32252.68782.25942.25942.94862.94862.91032.91034.01154.0115
H42.32251.09162.68782.94862.94862.25942.25944.01154.01152.91032.9103
C51.52132.09822.25942.94862.59522.91871.33551.08463.35583.87932.2280
C61.52132.09822.25942.94862.59521.33552.91873.35581.08462.22803.8793
C72.09821.52132.94862.25942.91871.33552.59523.87932.22801.08463.3558
C82.09821.52132.94862.25941.33552.91872.59522.22803.87933.35581.0846
H92.38583.18222.91034.01151.08463.35583.87932.22803.88594.81082.8360
H102.38583.18222.91034.01153.35581.08462.22803.87933.88592.83604.8108
H113.18222.38584.01152.91033.87932.22801.08463.35584.81082.83603.8859
H123.18222.38584.01152.91032.22803.87933.35581.08462.83604.81083.8859

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 120.997 C1 C2 H7 85.703
C1 C2 H8 85.703 C1 C5 H8 94.297
C1 C5 H9 131.843 C1 C6 H7 94.297
C1 C6 H10 131.843 C2 C1 C3 120.997
C2 C1 C5 85.703 C2 C1 C6 85.703
C2 H7 C6 94.297 C2 H7 H11 131.843
C2 H8 C5 94.297 C2 H8 H12 131.843
C3 C1 C5 118.776 C3 C1 C6 118.776
C4 C2 H7 118.776 C4 C2 H8 118.776
C5 C1 C6 117.071 C5 H8 H12 133.766
C6 H7 H11 133.766 H7 C6 H10 133.766
H8 C5 H9 133.766
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.187      
2 C -0.187      
3 H 0.140      
4 H 0.140      
5 C -0.073      
6 C -0.073      
7 C -0.073      
8 C -0.073      
9 H 0.096      
10 H 0.096      
11 H 0.096      
12 H 0.096      


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 -0.028 0.028
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.314 0.000 0.000
y 0.000 -32.743 0.000
z 0.000 0.000 -35.990
Traceless
 xyz
x -0.947 0.000 0.000
y 0.000 2.909 0.000
z 0.000 0.000 -1.962
Polar
3z2-r2-3.924
x2-y2-2.571
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.044 0.000 0.000
y 0.000 9.688 0.000
z 0.000 0.000 6.395


<r2> (average value of r2) Å2
<r2> 118.057
(<r2>)1/2 10.865