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

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-230.783922
Energy at 298.15K 
HF Energy-230.783922
Nuclear repulsion energy207.713011
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 mPW1PW91/3-21G*
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 3291 3125 4.39 221.92 0.02 0.04
2 A1 3200 3039 15.05 111.52 0.18 0.31
3 A1 1629 1547 0.25 23.34 0.07 0.12
4 A1 1180 1121 7.91 19.13 0.22 0.36
5 A1 1052 999 4.94 12.29 0.75 0.86
6 A1 950 902 8.85 11.64 0.26 0.41
7 A1 856 813 0.33 7.16 0.75 0.86
8 A1 835 793 88.98 7.03 0.10 0.18
9 A1 397 377 5.01 12.31 0.64 0.78
10 A2 3251 3087 0.00 132.29 0.75 0.86
11 A2 1294 1229 0.00 1.93 0.75 0.86
12 A2 1213 1152 0.00 14.02 0.75 0.86
13 A2 976 927 0.00 0.05 0.75 0.86
14 A2 935 888 0.00 0.09 0.75 0.86
15 A2 818 776 0.00 5.37 0.75 0.86
16 A2 356 338 0.00 3.36 0.75 0.86
17 B1 3287 3121 28.56 48.33 0.75 0.86
18 B1 1602 1521 5.36 2.51 0.75 0.86
19 B1 1209 1148 0.01 3.65 0.75 0.86
20 B1 1112 1056 0.47 0.36 0.75 0.86
21 B1 991 941 1.89 8.64 0.75 0.86
22 B1 753 715 66.83 3.02 0.75 0.86
23 B2 3253 3089 13.15 35.65 0.75 0.86
24 B2 3190 3030 7.00 109.49 0.75 0.86
25 B2 1311 1245 37.12 0.01 0.75 0.86
26 B2 1155 1097 13.58 0.74 0.75 0.86
27 B2 996 946 5.48 0.87 0.75 0.86
28 B2 974 925 1.68 0.04 0.75 0.86
29 B2 847 804 11.34 2.51 0.75 0.86
30 B2 500 475 5.95 7.15 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21705.5 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 20611.5 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 mPW1PW91/3-21G*
ABC
0.25262 0.14961 0.11715

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.802 0.556
C2 0.000 -0.802 0.556
H3 0.000 1.377 1.479
H4 0.000 -1.377 1.479
C5 -1.291 0.671 -0.278
C6 1.291 0.671 -0.278
C7 1.291 -0.671 -0.278
C8 -1.291 -0.671 -0.278
H9 -1.921 1.416 -0.741
H10 1.921 1.416 -0.741
H11 1.921 -1.416 -0.741
H12 -1.921 -1.416 -0.741

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.60431.08692.36641.54291.54292.12942.12942.39772.39773.20823.2082
C21.60432.36641.08692.12942.12941.54291.54293.20823.20822.39772.3977
H31.08692.36642.75412.29152.29152.99142.99142.93552.93554.05184.0518
H42.36641.08692.75412.99142.99142.29152.29154.05184.05182.93552.9355
C51.54292.12942.29152.99142.58282.91091.34261.07943.32983.85872.2287
C61.54292.12942.29152.99142.58281.34262.91093.32981.07942.22873.8587
C72.12941.54292.99142.29152.91091.34262.58283.85872.22871.07943.3298
C82.12941.54292.99142.29151.34262.91092.58282.22873.85873.32981.0794
H92.39773.20822.93554.05181.07943.32983.85872.22873.84184.77282.8319
H102.39773.20822.93554.05183.32981.07942.22873.85873.84182.83194.7728
H113.20822.39774.05182.93553.85872.22871.07943.32984.77282.83193.8418
H123.20822.39774.05182.93552.22873.85873.32981.07942.83194.77283.8418

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 121.933 C1 C2 H7 85.133
C1 C2 H8 85.133 C1 C5 H8 94.867
C1 C5 H9 131.411 C1 C6 H7 94.867
C1 C6 H10 131.411 C2 C1 C3 121.933
C2 C1 C5 85.133 C2 C1 C6 85.133
C2 H7 C6 94.867 C2 H7 H11 131.411
C2 H8 C5 94.867 C2 H8 H12 131.411
C3 C1 C5 120.244 C3 C1 C6 120.244
C4 C2 H7 120.244 C4 C2 H8 120.244
C5 C1 C6 113.643 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 mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.344      
2 C -0.344      
3 H 0.224      
4 H 0.224      
5 C -0.145      
6 C -0.145      
7 C -0.145      
8 C -0.145      
9 H 0.205      
10 H 0.205      
11 H 0.205      
12 H 0.205      


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 -0.054 0.054
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.171 0.000 0.000
y 0.000 -32.537 0.000
z 0.000 0.000 -35.838
Traceless
 xyz
x -0.983 0.000 0.000
y 0.000 2.968 0.000
z 0.000 0.000 -1.984
Polar
3z2-r2-3.968
x2-y2-2.634
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.559 0.000 0.000
y 0.000 8.824 0.000
z 0.000 0.000 5.152


<r2> (average value of r2) Å2
<r2> 118.824
(<r2>)1/2 10.901