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

using model chemistry: wB97X-D/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at wB97X-D/aug-cc-pVDZ
 hartrees
Energy at 0K-232.064783
Energy at 298.15K 
HF Energy-232.064783
Nuclear repulsion energy208.620324
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 wB97X-D/aug-cc-pVDZ
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 3239 3101 7.80 294.97 0.03 0.06
2 A1 3138 3004 29.64 157.86 0.11 0.19
3 A1 1656 1585 0.15 70.52 0.01 0.03
4 A1 1196 1144 4.83 28.50 0.10 0.19
5 A1 1044 999 0.93 8.46 0.35 0.52
6 A1 967 925 6.88 13.82 0.25 0.40
7 A1 882 845 0.05 4.06 0.43 0.60
8 A1 817 782 86.40 4.20 0.04 0.08
9 A1 388 372 5.90 3.89 0.51 0.68
10 A2 3204 3067 0.00 157.92 0.75 0.86
11 A2 1307 1251 0.00 7.34 0.75 0.86
12 A2 1210 1158 0.00 7.62 0.75 0.86
13 A2 971 930 0.00 0.39 0.75 0.86
14 A2 928 888 0.00 1.74 0.75 0.86
15 A2 792 759 0.00 2.44 0.75 0.86
16 A2 338 324 0.00 0.91 0.75 0.86
17 B1 3237 3098 36.04 63.02 0.75 0.86
18 B1 1628 1559 14.48 0.05 0.75 0.86
19 B1 1221 1169 2.48 0.90 0.75 0.86
20 B1 1108 1060 0.37 0.12 0.75 0.86
21 B1 1014 970 0.13 6.29 0.75 0.86
22 B1 720 690 49.69 0.51 0.75 0.86
23 B2 3206 3069 25.49 42.35 0.75 0.86
24 B2 3132 2998 16.56 115.28 0.75 0.86
25 B2 1305 1249 40.67 0.00 0.75 0.86
26 B2 1163 1114 6.50 0.16 0.75 0.86
27 B2 960 919 2.20 2.17 0.75 0.86
28 B2 940 900 7.20 0.20 0.75 0.86
29 B2 843 807 14.16 0.18 0.75 0.86
30 B2 494 473 5.21 2.22 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21523.0 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 20604.0 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 wB97X-D/aug-cc-pVDZ
ABC
0.26111 0.14913 0.11636

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.785 0.525
C2 0.000 -0.785 0.525
H3 0.000 1.351 1.463
H4 0.000 -1.351 1.463
C5 -1.302 0.670 -0.265
C6 1.302 0.670 -0.265
C7 1.302 -0.670 -0.265
C8 -1.302 -0.670 -0.265
H9 -1.950 1.422 -0.715
H10 1.950 1.422 -0.715
H11 1.950 -1.422 -0.715
H12 -1.950 -1.422 -0.715

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57061.09562.33331.52721.52722.10662.10662.39682.39683.19553.1955
C21.57062.33331.09562.10662.10661.52721.52723.19553.19552.39682.3968
H31.09562.33332.70212.26842.26842.96112.96112.92412.92414.02924.0292
H42.33331.09562.70212.96112.96112.26842.26844.02924.02922.92412.9241
C51.52722.10662.26842.96112.60362.92841.34061.08953.36773.89282.2359
C61.52722.10662.26842.96112.60361.34062.92843.36771.08952.23593.8928
C72.10661.52722.96112.26842.92841.34062.60363.89282.23591.08953.3677
C82.10661.52722.96112.26841.34062.92842.60362.23593.89283.36771.0895
H92.39683.19552.92414.02921.08953.36773.89282.23593.90034.82692.8437
H102.39683.19552.92414.02923.36771.08952.23593.89283.90032.84374.8269
H113.19552.39684.02922.92413.89282.23591.08953.36774.82692.84373.9003
H123.19552.39684.02922.92412.23593.89283.36771.08952.84374.82693.9003

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 121.090 C1 C2 H7 85.681
C1 C2 H8 85.681 C1 C5 H8 94.319
C1 C5 H9 131.964 C1 C6 H7 94.319
C1 C6 H10 131.964 C2 C1 C3 121.090
C2 C1 C5 85.681 C2 C1 C6 85.681
C2 H7 C6 94.319 C2 H7 H11 131.964
C2 H8 C5 94.319 C2 H8 H12 131.964
C3 C1 C5 118.817 C3 C1 C6 118.817
C4 C2 H7 118.817 C4 C2 H8 118.817
C5 C1 C6 116.945 C5 H8 H12 133.617
C6 H7 H11 133.617 H7 C6 H10 133.617
H8 C5 H9 133.617
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.791      
2 C 0.791      
3 H -0.497      
4 H -0.497      
5 C 0.201      
6 C 0.201      
7 C 0.201      
8 C 0.201      
9 H -0.349      
10 H -0.349      
11 H -0.349      
12 H -0.349      


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 -0.059 0.059
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.897 0.000 0.000
y 0.000 -32.778 0.000
z 0.000 0.000 -36.308
Traceless
 xyz
x -1.354 0.000 0.000
y 0.000 3.325 0.000
z 0.000 0.000 -1.970
Polar
3z2-r2-3.941
x2-y2-3.119
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.325 0.000 0.000
y 0.000 10.384 0.000
z 0.000 0.000 7.864


<r2> (average value of r2) Å2
<r2> 118.981
(<r2>)1/2 10.908