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

using model chemistry: M06-2X/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 M06-2X/6-311G*
 hartrees
Energy at 0K-232.061001
Energy at 298.15K 
HF Energy-232.061001
Nuclear repulsion energy209.340563
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 M06-2X/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 3247 3247 7.28 261.93 0.04 0.07
2 A1 3151 3151 28.83 144.03 0.14 0.25
3 A1 1666 1666 0.09 33.59 0.06 0.12
4 A1 1197 1197 5.47 20.91 0.16 0.27
5 A1 1046 1046 1.79 9.23 0.65 0.79
6 A1 969 969 7.23 10.91 0.29 0.45
7 A1 893 893 0.01 5.18 0.67 0.80
8 A1 826 826 84.26 5.49 0.09 0.16
9 A1 393 393 5.54 9.56 0.62 0.76
10 A2 3213 3213 0.00 160.43 0.75 0.86
11 A2 1308 1308 0.00 7.20 0.75 0.86
12 A2 1207 1207 0.00 8.74 0.75 0.86
13 A2 978 978 0.00 0.05 0.75 0.86
14 A2 950 950 0.00 0.80 0.75 0.86
15 A2 788 788 0.00 3.28 0.75 0.86
16 A2 337 337 0.00 2.30 0.75 0.86
17 B1 3245 3245 36.88 63.92 0.75 0.86
18 B1 1638 1638 9.94 1.54 0.75 0.86
19 B1 1223 1223 1.75 1.14 0.75 0.86
20 B1 1108 1108 0.24 0.21 0.75 0.86
21 B1 1016 1016 0.01 7.47 0.75 0.86
22 B1 727 727 51.50 3.45 0.75 0.86
23 B2 3215 3215 24.58 43.02 0.75 0.86
24 B2 3145 3145 12.56 115.73 0.75 0.86
25 B2 1307 1307 39.09 0.01 0.75 0.86
26 B2 1168 1168 5.97 0.65 0.75 0.86
27 B2 982 982 1.71 1.29 0.75 0.86
28 B2 934 934 9.70 0.09 0.75 0.86
29 B2 848 848 12.77 1.09 0.75 0.86
30 B2 490 490 5.45 5.22 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21606.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21606.6 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 M06-2X/6-311G*
ABC
0.26339 0.14980 0.11709

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.783 0.524
C2 0.000 -0.783 0.524
H3 0.000 1.340 1.460
H4 0.000 -1.340 1.460
C5 -1.299 0.667 -0.265
C6 1.299 0.667 -0.265
C7 1.299 -0.667 -0.265
C8 -1.299 -0.667 -0.265
H9 -1.943 1.416 -0.711
H10 1.943 1.416 -0.711
H11 1.943 -1.416 -0.711
H12 -1.943 -1.416 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56511.08942.31951.52431.52432.10002.10002.38732.38733.18303.1830
C21.56512.31951.08942.10002.10001.52431.52433.18303.18302.38732.3873
H31.08942.31952.67922.26192.26192.94752.94752.91402.91404.00984.0098
H42.31951.08942.67922.94752.94752.26192.26194.00984.00982.91402.9140
C51.52432.10002.26192.94752.59872.92061.33311.08373.35743.87912.2248
C61.52432.10002.26192.94752.59871.33312.92063.35741.08372.22483.8791
C72.10001.52432.94752.26192.92061.33312.59873.87912.22481.08373.3574
C82.10001.52432.94752.26191.33312.92062.59872.22483.87913.35741.0837
H92.38733.18302.91404.00981.08373.35743.87912.22483.88574.80822.8320
H102.38733.18302.91404.00983.35741.08372.22483.87913.88572.83204.8082
H113.18302.38734.00982.91403.87912.22481.08373.35744.80822.83203.8857
H123.18302.38734.00982.91402.22483.87913.35741.08372.83204.80823.8857

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 120.754 C1 C2 H7 85.634
C1 C2 H8 85.634 C1 C5 H8 94.366
C1 C5 H9 131.780 C1 C6 H7 94.366
C1 C6 H10 131.780 C2 C1 C3 120.754
C2 C1 C5 85.634 C2 C1 C6 85.634
C2 H7 C6 94.366 C2 H7 H11 131.780
C2 H8 C5 94.366 C2 H8 H12 131.780
C3 C1 C5 118.913 C3 C1 C6 118.913
C4 C2 H7 118.913 C4 C2 H8 118.913
C5 C1 C6 116.949 C5 H8 H12 133.754
C6 H7 H11 133.754 H7 C6 H10 133.754
H8 C5 H9 133.754
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.311      
2 C -0.311      
3 H 0.236      
4 H 0.236      
5 C -0.170      
6 C -0.170      
7 C -0.170      
8 C -0.170      
9 H 0.208      
10 H 0.208      
11 H 0.208      
12 H 0.208      


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 -0.050 0.050
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.536 0.000 0.000
y 0.000 -32.931 0.000
z 0.000 0.000 -36.300
Traceless
 xyz
x -0.921 0.000 0.000
y 0.000 2.987 0.000
z 0.000 0.000 -2.066
Polar
3z2-r2-4.132
x2-y2-2.605
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.892 0.000 0.000
y 0.000 9.563 0.000
z 0.000 0.000 6.269


<r2> (average value of r2) Å2
<r2> 118.306
(<r2>)1/2 10.877