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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/6-31G*
 hartrees
Energy at 0K-232.114261
Energy at 298.15K 
HF Energy-232.114261
Nuclear repulsion energy208.353134
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 B3LYPultrafine/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 3224 3089 9.80 278.24 0.04 0.07
2 A1 3112 2981 41.15 146.37 0.15 0.26
3 A1 1648 1579 0.05 26.33 0.06 0.11
4 A1 1191 1141 3.92 17.94 0.24 0.38
5 A1 1046 1002 2.56 17.12 0.74 0.85
6 A1 950 910 6.62 11.71 0.26 0.42
7 A1 878 841 0.10 6.90 0.74 0.85
8 A1 817 783 62.91 6.34 0.14 0.25
9 A1 392 376 3.29 13.26 0.64 0.78
10 A2 3191 3057 0.00 174.35 0.75 0.86
11 A2 1304 1249 0.00 5.99 0.75 0.86
12 A2 1218 1167 0.00 13.36 0.75 0.86
13 A2 962 922 0.00 0.41 0.75 0.86
14 A2 930 891 0.00 0.11 0.75 0.86
15 A2 791 758 0.00 3.66 0.75 0.86
16 A2 340 325 0.00 2.83 0.75 0.86
17 B1 3221 3086 55.58 60.21 0.75 0.86
18 B1 1621 1553 10.04 2.18 0.75 0.86
19 B1 1227 1176 2.57 4.25 0.75 0.86
20 B1 1109 1063 0.00 0.13 0.75 0.86
21 B1 1006 964 0.35 9.67 0.75 0.86
22 B1 725 695 36.92 5.47 0.75 0.86
23 B2 3192 3058 35.14 45.73 0.75 0.86
24 B2 3104 2974 20.57 122.27 0.75 0.86
25 B2 1312 1257 33.12 0.03 0.75 0.86
26 B2 1174 1125 4.30 0.94 0.75 0.86
27 B2 964 923 4.77 0.35 0.75 0.86
28 B2 936 897 5.51 0.36 0.75 0.86
29 B2 836 801 7.67 2.63 0.75 0.86
30 B2 492 472 6.16 6.97 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21456.5 cm-1
Scaled (by 0.958) Zero Point Vibrational Energy (zpe) 20555.3 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 B3LYPultrafine/6-31G*
ABC
0.26189 0.14812 0.11555

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.787 0.521
C2 0.000 -0.787 0.521
H3 0.000 1.351 1.458
H4 0.000 -1.351 1.458
C5 -1.309 0.670 -0.264
C6 1.309 0.670 -0.264
C7 1.309 -0.670 -0.264
C8 -1.309 -0.670 -0.264
H9 -1.956 1.421 -0.708
H10 1.956 1.421 -0.708
H11 1.956 -1.421 -0.708
H12 -1.956 -1.421 -0.708

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57371.09392.33421.53041.53042.10962.10962.39552.39553.19563.1956
C21.57372.33421.09392.10962.10961.53041.53043.19563.19562.39552.3955
H31.09392.33422.70202.26732.26732.95992.95992.91912.91914.02514.0251
H42.33421.09392.70202.95992.95992.26732.26734.02514.02512.91912.9191
C51.53042.10962.26732.95992.61782.94081.33991.08673.37993.90292.2337
C61.53042.10962.26732.95992.61781.33992.94083.37991.08672.23373.9029
C72.10961.53042.95992.26732.94081.33992.61783.90292.23371.08673.3799
C82.10961.53042.95992.26731.33992.94082.61782.23373.90293.37991.0867
H92.39553.19562.91914.02511.08673.37993.90292.23373.91284.83642.8427
H102.39553.19562.91914.02513.37991.08672.23373.90293.91282.84274.8364
H113.19562.39554.02512.91913.90292.23371.08673.37994.83642.84273.9128
H123.19562.39554.02512.91912.23373.90293.37991.08672.84274.83643.9128

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 121.046 C1 C2 H7 85.619
C1 C2 H8 85.619 C1 C5 H8 94.381
C1 C5 H9 131.768 C1 C6 H7 94.381
C1 C6 H10 131.768 C2 C1 C3 121.046
C2 C1 C5 85.619 C2 C1 C6 85.619
C2 H7 C6 94.381 C2 H7 H11 131.768
C2 H8 C5 94.381 C2 H8 H12 131.768
C3 C1 C5 118.586 C3 C1 C6 118.586
C4 C2 H7 118.586 C4 C2 H8 118.586
C5 C1 C6 117.582 C5 H8 H12 133.748
C6 H7 H11 133.748 H7 C6 H10 133.748
H8 C5 H9 133.748
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.186      
2 C -0.186      
3 H 0.142      
4 H 0.142      
5 C -0.102      
6 C -0.102      
7 C -0.102      
8 C -0.102      
9 H 0.124      
10 H 0.124      
11 H 0.124      
12 H 0.124      


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 -0.022 0.022
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.808 0.000 0.000
y 0.000 -32.647 0.000
z 0.000 0.000 -35.509
Traceless
 xyz
x -0.730 0.000 0.000
y 0.000 2.511 0.000
z 0.000 0.000 -1.781
Polar
3z2-r2-3.562
x2-y2-2.161
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.407 0.000 0.000
y 0.000 9.232 0.000
z 0.000 0.000 5.695


<r2> (average value of r2) Å2
<r2> 118.970
(<r2>)1/2 10.907