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

using model chemistry: wB97X-D/TZVP

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/TZVP
 hartrees
Energy at 0K-232.110643
Energy at 298.15K 
HF Energy-232.110643
Nuclear repulsion energy209.490415
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/TZVP
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 3240 3094 6.23 278.95 0.03 0.06
2 A1 3143 3001 26.09 154.58 0.12 0.21
3 A1 1661 1586 0.18 48.27 0.03 0.07
4 A1 1199 1145 5.67 23.93 0.14 0.25
5 A1 1051 1004 1.68 8.97 0.56 0.72
6 A1 965 922 8.98 10.78 0.25 0.40
7 A1 888 848 0.02 4.67 0.62 0.77
8 A1 826 788 85.93 6.38 0.05 0.10
9 A1 395 377 5.45 6.83 0.55 0.71
10 A2 3206 3062 0.00 154.52 0.75 0.86
11 A2 1310 1251 0.00 6.24 0.75 0.86
12 A2 1217 1163 0.00 9.69 0.75 0.86
13 A2 976 933 0.00 0.05 0.75 0.86
14 A2 953 910 0.00 1.44 0.75 0.86
15 A2 797 762 0.00 2.97 0.75 0.86
16 A2 341 325 0.00 1.79 0.75 0.86
17 B1 3237 3092 31.95 58.96 0.75 0.86
18 B1 1633 1560 11.90 0.62 0.75 0.86
19 B1 1224 1169 1.48 1.26 0.75 0.86
20 B1 1110 1060 0.51 0.01 0.75 0.86
21 B1 1014 968 0.09 7.00 0.75 0.86
22 B1 733 700 49.84 2.25 0.75 0.86
23 B2 3208 3064 20.05 42.05 0.75 0.86
24 B2 3136 2995 14.50 117.41 0.75 0.86
25 B2 1315 1256 40.00 0.01 0.75 0.86
26 B2 1177 1124 7.30 0.36 0.75 0.86
27 B2 987 942 1.72 1.77 0.75 0.86
28 B2 945 903 8.43 0.27 0.75 0.86
29 B2 848 810 13.30 0.84 0.75 0.86
30 B2 495 473 5.46 3.42 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21615.7 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 20643.0 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/TZVP
ABC
0.26391 0.15001 0.11715

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.783 0.522
C2 0.000 -0.783 0.522
H3 0.000 1.345 1.454
H4 0.000 -1.345 1.454
C5 -1.299 0.666 -0.265
C6 1.299 0.666 -0.265
C7 1.299 -0.666 -0.265
C8 -1.299 -0.666 -0.265
H9 -1.944 1.414 -0.706
H10 1.944 1.414 -0.706
H11 1.944 -1.414 -0.706
H12 -1.944 -1.414 -0.706

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56641.08852.32371.52301.52302.09882.09882.38442.38443.18043.1804
C21.56642.32371.08852.09882.09881.52301.52303.18043.18042.38442.3844
H31.08852.32372.69072.25902.25902.94712.94712.90702.90704.00754.0075
H42.32371.08852.69072.94712.94712.25902.25904.00754.00752.90702.9070
C51.52302.09882.25902.94712.59752.91881.33131.08223.35693.87742.2218
C61.52302.09882.25902.94712.59751.33132.91883.35691.08222.22183.8774
C72.09881.52302.94712.25902.91881.33132.59753.87742.22181.08223.3569
C82.09881.52302.94712.25901.33132.91882.59752.22183.87743.35691.0822
H92.38443.18042.90704.00751.08223.35693.87742.22183.88744.80732.8281
H102.38443.18042.90704.00753.35691.08222.22183.87743.88742.82814.8073
H113.18042.38444.00752.90703.87742.22181.08223.35694.80732.82813.8874
H123.18042.38444.00752.90702.22183.87743.35691.08222.82814.80733.8874

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 121.097 C1 C2 H7 85.575
C1 C2 H8 85.575 C1 C5 H8 94.425
C1 C5 H9 131.736 C1 C6 H7 94.425
C1 C6 H10 131.736 C2 C1 C3 121.097
C2 C1 C5 85.575 C2 C1 C6 85.575
C2 H7 C6 94.425 C2 H7 H11 131.736
C2 H8 C5 94.425 C2 H8 H12 131.736
C3 C1 C5 118.829 C3 C1 C6 118.829
C4 C2 H7 118.829 C4 C2 H8 118.829
C5 C1 C6 117.026 C5 H8 H12 133.752
C6 H7 H11 133.752 H7 C6 H10 133.752
H8 C5 H9 133.752
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.112      
2 C -0.112      
3 H 0.160      
4 H 0.160      
5 C -0.157      
6 C -0.157      
7 C -0.157      
8 C -0.157      
9 H 0.133      
10 H 0.133      
11 H 0.133      
12 H 0.133      


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 -0.045 0.045
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.515 0.000 0.000
y 0.000 -32.750 0.000
z 0.000 0.000 -36.069
Traceless
 xyz
x -1.106 0.000 0.000
y 0.000 3.042 0.000
z 0.000 0.000 -1.937
Polar
3z2-r2-3.873
x2-y2-2.765
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.539 0.000 0.000
y 0.000 10.032 0.000
z 0.000 0.000 7.122


<r2> (average value of r2) Å2
<r2> 118.108
(<r2>)1/2 10.868