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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-231.810488
Energy at 298.15K 
HF Energy-231.810488
Nuclear repulsion energy207.691878
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/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 3153 3101 10.06 297.41 0.04 0.07
2 A1 3044 2993 35.01 155.60 0.15 0.26
3 A1 1601 1575 0.08 26.48 0.05 0.09
4 A1 1155 1136 4.53 17.19 0.23 0.38
5 A1 1008 991 2.52 17.18 0.74 0.85
6 A1 933 917 2.97 10.62 0.26 0.42
7 A1 866 851 0.21 7.03 0.72 0.84
8 A1 793 780 66.85 5.78 0.17 0.29
9 A1 380 374 3.69 14.47 0.64 0.78
10 A2 3119 3068 0.00 186.46 0.75 0.86
11 A2 1258 1238 0.00 6.85 0.75 0.86
12 A2 1168 1149 0.00 13.93 0.75 0.86
13 A2 944 928 0.00 0.55 0.75 0.86
14 A2 885 871 0.00 0.02 0.75 0.86
15 A2 763 750 0.00 3.06 0.75 0.86
16 A2 328 322 0.00 2.82 0.75 0.86
17 B1 3149 3097 57.87 65.04 0.75 0.86
18 B1 1574 1548 10.56 2.61 0.75 0.86
19 B1 1177 1157 0.84 5.45 0.75 0.86
20 B1 1078 1061 0.00 0.03 0.75 0.86
21 B1 988 972 0.01 9.05 0.75 0.86
22 B1 698 687 40.00 6.14 0.75 0.86
23 B2 3121 3069 35.57 47.55 0.75 0.86
24 B2 3036 2986 17.48 127.33 0.75 0.86
25 B2 1267 1246 33.97 0.02 0.75 0.86
26 B2 1128 1109 4.04 0.86 0.75 0.86
27 B2 924 909 4.43 0.18 0.75 0.86
28 B2 897 882 6.87 0.73 0.75 0.86
29 B2 808 795 8.68 2.41 0.75 0.86
30 B2 471 463 5.43 7.28 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20856.5 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 20512.4 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/6-31G*
ABC
0.25945 0.14775 0.11500

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.788 0.521
C2 0.000 -0.788 0.521
H3 0.000 1.351 1.468
H4 0.000 -1.351 1.468
C5 -1.310 0.675 -0.264
C6 1.310 0.675 -0.264
C7 1.310 -0.675 -0.264
C8 -1.310 -0.675 -0.264
H9 -1.959 1.435 -0.712
H10 1.959 1.435 -0.712
H11 1.959 -1.435 -0.712
H12 -1.959 -1.435 -0.712

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57601.10242.33991.53131.53132.11462.11462.40322.40323.20893.2089
C21.57602.33991.10242.11462.11461.53131.53133.20893.20892.40322.4032
H31.10242.33992.70302.27482.27482.97022.97022.93232.93234.04404.0440
H42.33991.10242.70302.97022.97022.27482.27484.04404.04402.93232.9323
C51.53132.11462.27482.97022.62032.94741.34951.09513.38593.91622.2519
C61.53132.11462.27482.97022.62031.34952.94743.38591.09512.25193.9162
C72.11461.53132.97022.27482.94741.34952.62033.91622.25191.09513.3859
C82.11461.53132.97022.27481.34952.94742.62032.25193.91623.38591.0951
H92.40323.20892.93234.04401.09513.38593.91622.25193.91764.85602.8693
H102.40323.20892.93234.04403.38591.09512.25193.91623.91762.86934.8560
H113.20892.40324.04402.93233.91622.25191.09513.38594.85602.86933.9176
H123.20892.40324.04402.93232.25193.91623.38591.09512.86934.85603.9176

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 120.741 C1 C2 H7 85.758
C1 C2 H8 85.758 C1 C5 H8 94.242
C1 C5 H9 131.700 C1 C6 H7 94.242
C1 C6 H10 131.700 C2 C1 C3 120.741
C2 C1 C5 85.758 C2 C1 C6 85.758
C2 H7 C6 94.242 C2 H7 H11 131.700
C2 H8 C5 94.242 C2 H8 H12 131.700
C3 C1 C5 118.566 C3 C1 C6 118.566
C4 C2 H7 118.566 C4 C2 H8 118.566
C5 C1 C6 117.648 C5 H8 H12 133.941
C6 H7 H11 133.941 H7 C6 H10 133.941
H8 C5 H9 133.941
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.213      
2 C -0.213      
3 H 0.156      
4 H 0.156      
5 C -0.103      
6 C -0.103      
7 C -0.103      
8 C -0.103      
9 H 0.132      
10 H 0.132      
11 H 0.132      
12 H 0.132      


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 0.005 0.005
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -34.763 0.000 0.000
y 0.000 -32.552 0.000
z 0.000 0.000 -35.416
Traceless
 xyz
x -0.779 0.000 0.000
y 0.000 2.537 0.000
z 0.000 0.000 -1.758
Polar
3z2-r2-3.516
x2-y2-2.210
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.746 0.000 0.000
y 0.000 9.353 0.000
z 0.000 0.000 5.857


<r2> (average value of r2) Å2
<r2> 119.460
(<r2>)1/2 10.930