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

using model chemistry: TPSSh/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at TPSSh/6-31G**
 hartrees
Energy at 0K-232.150253
Energy at 298.15K 
HF Energy-232.150253
Nuclear repulsion energy208.587719
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 TPSSh/6-31G**
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 3222 3089 10.67 308.49 0.03 0.07
2 A1 3109 2981 43.45 157.34 0.15 0.26
3 A1 1642 1574 0.03 27.76 0.06 0.11
4 A1 1193 1144 3.97 18.68 0.23 0.37
5 A1 1048 1005 2.48 16.60 0.73 0.85
6 A1 955 916 7.27 12.13 0.26 0.41
7 A1 888 852 0.35 7.22 0.72 0.84
8 A1 823 789 67.24 6.42 0.13 0.24
9 A1 389 372 3.17 13.66 0.64 0.78
10 A2 3186 3055 0.00 191.21 0.75 0.86
11 A2 1303 1249 0.00 5.93 0.75 0.86
12 A2 1206 1157 0.00 14.23 0.75 0.86
13 A2 967 927 0.00 0.46 0.75 0.86
14 A2 930 892 0.00 0.09 0.75 0.86
15 A2 784 752 0.00 3.39 0.75 0.86
16 A2 331 318 0.00 2.88 0.75 0.86
17 B1 3218 3085 61.18 65.77 0.75 0.86
18 B1 1614 1547 12.26 2.55 0.75 0.86
19 B1 1216 1166 2.38 4.12 0.75 0.86
20 B1 1112 1066 0.04 0.09 0.75 0.86
21 B1 1010 968 0.24 9.68 0.75 0.86
22 B1 729 699 40.28 5.75 0.75 0.86
23 B2 3188 3056 40.55 48.89 0.75 0.86
24 B2 3101 2973 21.88 133.36 0.75 0.86
25 B2 1312 1258 33.62 0.03 0.75 0.86
26 B2 1171 1122 4.37 0.85 0.75 0.86
27 B2 963 923 4.50 0.28 0.75 0.86
28 B2 924 886 6.77 0.54 0.75 0.86
29 B2 838 804 7.37 2.44 0.75 0.86
30 B2 488 468 6.02 7.09 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21430.9 cm-1
Scaled (by 0.9587) Zero Point Vibrational Energy (zpe) 20545.8 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 TPSSh/6-31G**
ABC
0.26161 0.14882 0.11606

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.784 0.522
C2 0.000 -0.784 0.522
H3 0.000 1.348 1.459
H4 0.000 -1.348 1.459
C5 -1.305 0.671 -0.265
C6 1.305 0.671 -0.265
C7 1.305 -0.671 -0.265
C8 -1.305 -0.671 -0.265
H9 -1.949 1.424 -0.710
H10 1.949 1.424 -0.710
H11 1.949 -1.424 -0.710
H12 -1.949 -1.424 -0.710

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56871.09322.32911.52811.52812.10722.10722.39252.39253.19233.1923
C21.56872.32911.09322.10722.10721.52811.52813.19233.19232.39252.3925
H31.09322.32912.69622.26552.26552.95812.95812.91662.91664.02284.0228
H42.32911.09322.69622.95812.95812.26552.26554.02284.02282.91662.9166
C51.52812.10722.26552.95812.60992.93461.34191.08583.36913.89512.2360
C61.52812.10722.26552.95812.60991.34192.93463.36911.08582.23603.8951
C72.10721.52812.95812.26552.93461.34192.60993.89512.23601.08583.3691
C82.10721.52812.95812.26551.34192.93462.60992.23603.89513.36911.0858
H92.39253.19232.91664.02281.08583.36913.89512.23603.89764.82672.8471
H102.39253.19232.91664.02283.36911.08582.23603.89513.89762.84714.8267
H113.19232.39254.02282.91663.89512.23601.08583.36914.82672.84713.8976
H123.19232.39254.02282.91662.23603.89513.36911.08582.84714.82673.8976

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 121.045 C1 C2 H7 85.744
C1 C2 H8 85.744 C1 C5 H8 94.256
C1 C5 H9 131.759 C1 C6 H7 94.256
C1 C6 H10 131.759 C2 C1 C3 121.045
C2 C1 C5 85.744 C2 C1 C6 85.744
C2 H7 C6 94.256 C2 H7 H11 131.759
C2 H8 C5 94.256 C2 H8 H12 131.759
C3 C1 C5 118.654 C3 C1 C6 118.654
C4 C2 H7 118.654 C4 C2 H8 118.654
C5 C1 C6 117.290 C5 H8 H12 133.878
C6 H7 H11 133.878 H7 C6 H10 133.878
H8 C5 H9 133.878
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.180      
2 C -0.180      
3 H 0.127      
4 H 0.127      
5 C -0.081      
6 C -0.081      
7 C -0.081      
8 C -0.081      
9 H 0.108      
10 H 0.108      
11 H 0.108      
12 H 0.108      


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 -0.018 0.018
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.588 0.000 0.000
y 0.000 9.359 0.000
z 0.000 0.000 5.822


<r2> (average value of r2) Å2
<r2> 118.560
(<r2>)1/2 10.889