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

using model chemistry: PBEPBEultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-231.891380
Energy at 298.15K 
HF Energy-231.891380
Nuclear repulsion energy208.292146
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 PBEPBEultrafine/aug-cc-pVTZ
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 3131 3095 9.39 354.98 0.03 0.06
2 A1 3029 2995 26.07 187.12 0.11 0.19
3 A1 1577 1559 0.13 69.85 0.01 0.02
4 A1 1139 1126 4.93 30.20 0.10 0.18
5 A1 993 982 2.36 8.59 0.62 0.77
6 A1 923 912 3.31 10.75 0.24 0.38
7 A1 848 839 0.66 4.06 0.42 0.59
8 A1 790 781 78.65 3.36 0.02 0.04
9 A1 376 372 4.90 5.28 0.53 0.69
10 A2 3097 3062 0.00 196.70 0.75 0.86
11 A2 1237 1224 0.00 6.19 0.75 0.86
12 A2 1149 1137 0.00 11.27 0.75 0.86
13 A2 932 921 0.00 0.94 0.75 0.86
14 A2 898 888 0.00 1.42 0.75 0.86
15 A2 763 754 0.00 1.25 0.75 0.86
16 A2 329 326 0.00 0.74 0.75 0.86
17 B1 3127 3092 42.50 76.52 0.75 0.86
18 B1 1550 1533 15.48 0.25 0.75 0.86
19 B1 1148 1135 0.74 2.52 0.75 0.86
20 B1 1065 1053 0.29 0.05 0.75 0.86
21 B1 975 964 0.02 5.65 0.75 0.86
22 B1 695 688 47.01 1.46 0.75 0.86
23 B2 3099 3064 28.86 51.51 0.75 0.86
24 B2 3022 2988 14.22 132.66 0.75 0.86
25 B2 1253 1239 38.23 0.00 0.75 0.86
26 B2 1114 1102 6.62 0.14 0.75 0.86
27 B2 932 921 2.48 0.93 0.75 0.86
28 B2 901 890 7.33 0.43 0.75 0.86
29 B2 806 797 12.01 0.30 0.75 0.86
30 B2 468 463 4.25 2.46 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20682.3 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 20450.6 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
0.26033 0.14878 0.11583

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVTZ

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 1.353 1.463
H4 0.000 -1.353 1.463
C5 -1.304 0.672 -0.265
C6 1.304 0.672 -0.265
C7 1.304 -0.672 -0.265
C8 -1.304 -0.672 -0.265
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
C11.57671.09722.33901.52791.52792.11032.11032.39592.39593.20013.2001
C21.57672.33901.09722.11032.11031.52791.52793.20013.20012.39592.3959
H31.09722.33902.70632.26942.26942.96442.96442.92282.92284.03334.0333
H42.33901.09722.70632.96442.96442.26942.26944.03334.03332.92282.9228
C51.52792.11032.26942.96442.60892.93481.34401.09053.37273.90022.2417
C61.52792.11032.26942.96442.60891.34402.93483.37271.09052.24173.9002
C72.11031.52792.96442.26942.93481.34402.60893.90022.24171.09053.3727
C82.11031.52792.96442.26941.34402.93482.60892.24173.90023.37271.0905
H92.39593.20012.92284.03331.09053.37273.90022.24173.90434.83642.8543
H102.39593.20012.92284.03333.37271.09052.24173.90023.90432.85434.8364
H113.20012.39594.03332.92283.90022.24171.09053.37274.83642.85433.9043
H123.20012.39594.03332.92282.24173.90023.37271.09052.85434.83643.9043

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 120.982 C1 C2 H7 85.633
C1 C2 H8 85.633 C1 C5 H8 94.367
C1 C5 H9 131.702 C1 C6 H7 94.367
C1 C6 H10 131.702 C2 C1 C3 120.982
C2 C1 C5 85.633 C2 C1 C6 85.633
C2 H7 C6 94.367 C2 H7 H11 131.702
C2 H8 C5 94.367 C2 H8 H12 131.702
C3 C1 C5 118.735 C3 C1 C6 118.735
C4 C2 H7 118.735 C4 C2 H8 118.735
C5 C1 C6 117.249 C5 H8 H12 133.829
C6 H7 H11 133.829 H7 C6 H10 133.829
H8 C5 H9 133.829
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.035      
2 C -0.035      
3 H 0.315      
4 H 0.315      
5 C -0.593      
6 C -0.593      
7 C -0.593      
8 C -0.593      
9 H 0.453      
10 H 0.453      
11 H 0.453      
12 H 0.453      


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 -36.250 0.000 0.000
y 0.000 -33.265 0.000
z 0.000 0.000 -36.536
Traceless
 xyz
x -1.350 0.000 0.000
y 0.000 3.128 0.000
z 0.000 0.000 -1.778
Polar
3z2-r2-3.556
x2-y2-2.986
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.035 0.000 0.000
y 0.000 10.648 0.000
z 0.000 0.000 8.185


<r2> (average value of r2) Å2
<r2> 119.525
(<r2>)1/2 10.933