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

using model chemistry: wB97X-D/6-31G*

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/6-31G*
 hartrees
Energy at 0K-232.039123
Energy at 298.15K 
HF Energy-232.039123
Nuclear repulsion energy209.071797
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/6-31G*
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 3258 3091 8.03 261.39 0.03 0.06
2 A1 3152 2990 35.24 141.01 0.15 0.26
3 A1 1682 1595 0.10 27.83 0.07 0.14
4 A1 1213 1150 4.80 17.27 0.21 0.35
5 A1 1062 1007 1.52 14.99 0.69 0.82
6 A1 974 924 7.44 12.69 0.30 0.46
7 A1 901 855 0.00 6.95 0.71 0.83
8 A1 828 786 73.28 6.35 0.17 0.28
9 A1 396 375 4.18 12.16 0.64 0.78
10 A2 3224 3058 0.00 161.35 0.75 0.86
11 A2 1328 1259 0.00 7.23 0.75 0.86
12 A2 1230 1167 0.00 11.28 0.75 0.86
13 A2 984 934 0.00 0.15 0.75 0.86
14 A2 950 901 0.00 0.11 0.75 0.86
15 A2 797 756 0.00 3.66 0.75 0.86
16 A2 340 323 0.00 2.95 0.75 0.86
17 B1 3255 3088 47.98 56.72 0.75 0.86
18 B1 1654 1569 8.33 2.04 0.75 0.86
19 B1 1246 1182 1.92 2.69 0.75 0.86
20 B1 1122 1064 0.05 0.03 0.75 0.86
21 B1 1026 973 0.11 9.91 0.75 0.86
22 B1 733 696 42.19 4.89 0.75 0.86
23 B2 3225 3059 30.37 42.77 0.75 0.86
24 B2 3144 2982 18.58 119.33 0.75 0.86
25 B2 1326 1257 36.79 0.01 0.75 0.86
26 B2 1189 1128 5.55 0.86 0.75 0.86
27 B2 983 932 2.49 0.77 0.75 0.86
28 B2 944 896 8.84 0.28 0.75 0.86
29 B2 854 810 9.82 2.24 0.75 0.86
30 B2 499 473 6.50 6.86 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21759.4 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 20638.8 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/6-31G*
ABC
0.26309 0.14937 0.11662

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

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 1.458
H4 0.000 -1.345 1.458
C5 -1.302 0.668 -0.264
C6 1.302 0.668 -0.264
C7 1.302 -0.668 -0.264
C8 -1.302 -0.668 -0.264
H9 -1.947 1.419 -0.708
H10 1.947 1.419 -0.708
H11 1.947 -1.419 -0.708
H12 -1.947 -1.419 -0.708

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56521.09242.32441.52511.52512.10172.10172.38952.38953.18643.1864
C21.56522.32441.09242.10172.10171.52511.52513.18643.18642.38952.3895
H31.09242.32442.68942.26282.26282.95182.95182.91402.91404.01574.0157
H42.32441.09242.68942.95182.95182.26282.26284.01574.01572.91402.9140
C51.52512.10172.26282.95182.60422.92691.33601.08533.36443.88742.2295
C61.52512.10172.26282.95182.60421.33602.92693.36441.08532.22953.8874
C72.10171.52512.95182.26282.92691.33602.60423.88742.22951.08533.3644
C82.10171.52512.95182.26281.33602.92692.60422.22953.88743.36441.0853
H92.38953.18642.91404.01571.08533.36443.88742.22953.89424.81912.8388
H102.38953.18642.91404.01573.36441.08532.22953.88743.89422.83884.8191
H113.18642.38954.01572.91403.88742.22951.08533.36444.81912.83883.8942
H123.18642.38954.01572.91402.22953.88743.36441.08532.83884.81913.8942

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 120.966 C1 C2 H7 85.691
C1 C2 H8 85.691 C1 C5 H8 94.309
C1 C5 H9 131.778 C1 C6 H7 94.309
C1 C6 H10 131.778 C2 C1 C3 120.966
C2 C1 C5 85.691 C2 C1 C6 85.691
C2 H7 C6 94.309 C2 H7 H11 131.778
C2 H8 C5 94.309 C2 H8 H12 131.778
C3 C1 C5 118.715 C3 C1 C6 118.715
C4 C2 H7 118.715 C4 C2 H8 118.715
C5 C1 C6 117.245 C5 H8 H12 133.813
C6 H7 H11 133.813 H7 C6 H10 133.813
H8 C5 H9 133.813
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.226      
2 C -0.226      
3 H 0.172      
4 H 0.172      
5 C -0.133      
6 C -0.133      
7 C -0.133      
8 C -0.133      
9 H 0.160      
10 H 0.160      
11 H 0.160      
12 H 0.160      


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 -0.038 0.038
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.532 0.000 0.000
y 0.000 -32.256 0.000
z 0.000 0.000 -35.312
Traceless
 xyz
x -0.748 0.000 0.000
y 0.000 2.666 0.000
z 0.000 0.000 -1.918
Polar
3z2-r2-3.836
x2-y2-2.276
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.223 0.000 0.000
y 0.000 9.219 0.000
z 0.000 0.000 5.658


<r2> (average value of r2) Å2
<r2> 118.049
(<r2>)1/2 10.865