return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: PBEPBE/Def2TZVPP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/Def2TZVPP
 hartrees
Energy at 0K-231.895666
Energy at 298.15K 
HF Energy-231.895666
Nuclear repulsion energy208.312008
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 PBEPBE/Def2TZVPP
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 3137 3099 8.76 338.35 0.03 0.07
2 A1 3034 2997 25.96 175.48 0.11 0.20
3 A1 1580 1561 0.07 45.30 0.02 0.05
4 A1 1141 1127 4.81 25.29 0.12 0.22
5 A1 995 983 2.35 9.25 0.69 0.81
6 A1 924 913 3.11 9.92 0.23 0.38
7 A1 851 841 0.38 4.55 0.65 0.79
8 A1 790 781 75.42 5.19 0.04 0.07
9 A1 377 372 4.59 8.09 0.56 0.72
10 A2 3104 3066 0.00 189.78 0.75 0.86
11 A2 1241 1226 0.00 5.68 0.75 0.86
12 A2 1151 1137 0.00 12.61 0.75 0.86
13 A2 933 922 0.00 0.68 0.75 0.86
14 A2 899 888 0.00 0.97 0.75 0.86
15 A2 764 755 0.00 1.84 0.75 0.86
16 A2 330 326 0.00 1.51 0.75 0.86
17 B1 3134 3096 42.71 71.02 0.75 0.86
18 B1 1553 1535 13.96 1.06 0.75 0.86
19 B1 1150 1136 0.76 2.64 0.75 0.86
20 B1 1067 1054 0.24 0.01 0.75 0.86
21 B1 976 964 0.00 6.48 0.75 0.86
22 B1 696 688 46.77 2.99 0.75 0.86
23 B2 3105 3068 28.36 49.96 0.75 0.86
24 B2 3027 2991 14.24 130.76 0.75 0.86
25 B2 1255 1240 37.87 0.02 0.75 0.86
26 B2 1116 1103 6.22 0.24 0.75 0.86
27 B2 932 921 2.49 0.48 0.75 0.86
28 B2 901 890 7.50 0.41 0.75 0.86
29 B2 807 797 12.06 0.82 0.75 0.86
30 B2 468 463 4.52 3.55 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20718.9 cm-1
Scaled (by 0.9879) Zero Point Vibrational Energy (zpe) 20468.2 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 PBEPBE/Def2TZVPP
ABC
0.26046 0.14878 0.11584

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/Def2TZVPP

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.788 0.522
C2 0.000 -0.788 0.522
H3 0.000 1.352 1.463
H4 0.000 -1.352 1.463
C5 -1.305 0.672 -0.264
C6 1.305 0.672 -0.264
C7 1.305 -0.672 -0.264
C8 -1.305 -0.672 -0.264
H9 -1.952 1.427 -0.711
H10 1.952 1.427 -0.711
H11 1.952 -1.427 -0.711
H12 -1.952 -1.427 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57581.09722.33781.52771.52772.10992.10992.39602.39603.19973.1997
C21.57582.33781.09722.10992.10991.52771.52773.19973.19972.39602.3960
H31.09722.33782.70442.26902.26902.96372.96372.92292.92294.03264.0326
H42.33781.09722.70442.96372.96372.26902.26904.03264.03262.92292.9229
C51.52772.10992.26902.96372.60912.93491.34411.09053.37303.90052.2418
C61.52772.10992.26902.96372.60911.34412.93493.37301.09052.24183.9005
C72.10991.52772.96372.26902.93491.34412.60913.90052.24181.09053.3730
C82.10991.52772.96372.26901.34412.93492.60912.24183.90053.37301.0905
H92.39603.19972.92294.03261.09053.37303.90052.24183.90494.83682.8542
H102.39603.19972.92294.03263.37301.09052.24183.90053.90492.85424.8368
H113.19972.39604.03262.92293.90052.24181.09053.37304.83682.85423.9049
H123.19972.39604.03262.92292.24183.90053.37301.09052.85424.83683.9049

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 120.951 C1 C2 H7 85.652
C1 C2 H8 85.652 C1 C5 H8 94.348
C1 C5 H9 131.729 C1 C6 H7 94.348
C1 C6 H10 131.729 C2 C1 C3 120.951
C2 C1 C5 85.652 C2 C1 C6 85.652
C2 H7 C6 94.348 C2 H7 H11 131.729
C2 H8 C5 94.348 C2 H8 H12 131.729
C3 C1 C5 118.719 C3 C1 C6 118.719
C4 C2 H7 118.719 C4 C2 H8 118.719
C5 C1 C6 117.285 C5 H8 H12 133.820
C6 H7 H11 133.820 H7 C6 H10 133.820
H8 C5 H9 133.820
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.043      
2 C 0.043      
3 H 0.050      
4 H 0.050      
5 C -0.154      
6 C -0.154      
7 C -0.154      
8 C -0.154      
9 H 0.107      
10 H 0.107      
11 H 0.107      
12 H 0.107      


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 -0.001 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.015 0.000 0.000
y 0.000 -33.164 0.000
z 0.000 0.000 -36.360
Traceless
 xyz
x -1.253 0.000 0.000
y 0.000 3.023 0.000
z 0.000 0.000 -1.770
Polar
3z2-r2-3.540
x2-y2-2.851
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.416 0.000 0.000
y 0.000 10.391 0.000
z 0.000 0.000 7.565


<r2> (average value of r2) Å2
<r2> 119.407
(<r2>)1/2 10.927