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

using model chemistry: M06-2X/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-232.025100
Energy at 298.15K 
HF Energy-232.025100
Nuclear repulsion energy209.142281
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/6-31+G**
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 3257 3101 7.11 309.30 0.04 0.07
2 A1 3148 2997 25.26 171.36 0.12 0.21
3 A1 1670 1591 0.30 61.47 0.02 0.03
4 A1 1199 1142 5.62 27.26 0.12 0.22
5 A1 1048 998 1.24 9.81 0.54 0.70
6 A1 972 926 8.67 12.09 0.33 0.49
7 A1 893 850 0.14 5.16 0.53 0.69
8 A1 829 790 91.08 5.51 0.04 0.08
9 A1 394 375 5.97 6.15 0.54 0.70
10 A2 3223 3069 0.00 180.54 0.75 0.86
11 A2 1309 1246 0.00 8.11 0.75 0.86
12 A2 1205 1148 0.00 9.17 0.75 0.86
13 A2 981 934 0.00 0.13 0.75 0.86
14 A2 953 907 0.00 1.03 0.75 0.86
15 A2 782 744 0.00 2.79 0.75 0.86
16 A2 332 317 0.00 1.47 0.75 0.86
17 B1 3254 3099 33.95 76.86 0.75 0.86
18 B1 1642 1563 13.62 0.03 0.75 0.86
19 B1 1223 1164 1.94 1.13 0.75 0.86
20 B1 1110 1056 0.22 0.10 0.75 0.86
21 B1 1020 971 0.02 8.29 0.75 0.86
22 B1 732 697 52.38 2.28 0.75 0.86
23 B2 3225 3071 19.22 50.40 0.75 0.86
24 B2 3142 2992 14.36 130.01 0.75 0.86
25 B2 1309 1246 40.63 0.01 0.75 0.86
26 B2 1170 1114 7.00 0.26 0.75 0.86
27 B2 985 938 1.55 1.63 0.75 0.86
28 B2 927 883 10.67 0.22 0.75 0.86
29 B2 848 808 11.00 0.72 0.75 0.86
30 B2 488 465 5.09 3.88 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21634.2 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 20600.0 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/6-31+G**
ABC
0.26280 0.14968 0.11681

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

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 1.342 1.459
H4 0.000 -1.342 1.459
C5 -1.300 0.669 -0.265
C6 1.300 0.669 -0.265
C7 1.300 -0.669 -0.265
C8 -1.300 -0.669 -0.265
H9 -1.945 1.421 -0.708
H10 1.945 1.421 -0.708
H11 1.945 -1.421 -0.708
H12 -1.945 -1.421 -0.708

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56401.09152.32151.52421.52422.10132.10132.38822.38823.18553.1855
C21.56402.32151.09152.10132.10131.52421.52423.18553.18552.38822.3882
H31.09152.32152.68432.26192.26192.95082.95082.91282.91284.01394.0139
H42.32151.09152.68432.95082.95082.26192.26194.01394.01392.91282.9128
C51.52422.10132.26192.95082.60042.92441.33781.08483.36023.88482.2311
C61.52422.10132.26192.95082.60041.33782.92443.36021.08482.23113.8848
C72.10131.52422.95082.26192.92441.33782.60043.88482.23111.08483.3602
C82.10131.52422.95082.26191.33782.92442.60042.23113.88483.36021.0848
H92.38823.18552.91284.01391.08483.36023.88482.23113.88944.81672.8413
H102.38823.18552.91284.01393.36021.08482.23113.88483.88942.84134.8167
H113.18552.38824.01392.91283.88482.23111.08483.36024.81672.84133.8894
H123.18552.38824.01392.91282.23113.88483.36021.08482.84134.81673.8894

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 120.879 C1 C2 H7 85.745
C1 C2 H8 85.745 C1 C5 H8 94.255
C1 C5 H9 131.786 C1 C6 H7 94.255
C1 C6 H10 131.786 C2 C1 C3 120.879
C2 C1 C5 85.745 C2 C1 C6 85.745
C2 H7 C6 94.255 C2 H7 H11 131.786
C2 H8 C5 94.255 C2 H8 H12 131.786
C3 C1 C5 118.776 C3 C1 C6 118.776
C4 C2 H7 118.776 C4 C2 H8 118.776
C5 C1 C6 117.091 C5 H8 H12 133.866
C6 H7 H11 133.866 H7 C6 H10 133.866
H8 C5 H9 133.866
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.130      
2 C -0.130      
3 H 0.167      
4 H 0.167      
5 C -0.168      
6 C -0.168      
7 C -0.168      
8 C -0.168      
9 H 0.150      
10 H 0.150      
11 H 0.150      
12 H 0.150      


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 -0.031 0.031
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.075 0.000 0.000
y 0.000 -33.088 0.000
z 0.000 0.000 -36.598
Traceless
 xyz
x -1.232 0.000 0.000
y 0.000 3.249 0.000
z 0.000 0.000 -2.017
Polar
3z2-r2-4.034
x2-y2-2.988
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.831 0.000 0.000
y 0.000 10.164 0.000
z 0.000 0.000 7.272


<r2> (average value of r2) Å2
<r2> 118.693
(<r2>)1/2 10.895