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: B3LYPultrafine/aug-cc-pVDZ

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/aug-cc-pVDZ
 hartrees
Energy at 0K-232.140141
Energy at 298.15K 
HF Energy-232.140141
Nuclear repulsion energy207.922262
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/aug-cc-pVDZ
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 3209 3114 8.96 322.33 0.03 0.06
2 A1 3103 3011 32.02 175.02 0.11 0.19
3 A1 1622 1574 0.12 72.30 0.01 0.02
4 A1 1170 1136 4.42 31.38 0.10 0.18
5 A1 1027 997 1.70 8.43 0.54 0.70
6 A1 940 913 6.46 12.91 0.22 0.36
7 A1 858 832 0.35 4.47 0.47 0.64
8 A1 802 778 81.87 4.04 0.03 0.06
9 A1 384 373 5.51 4.58 0.52 0.69
10 A2 3175 3081 0.00 181.72 0.75 0.86
11 A2 1281 1243 0.00 6.67 0.75 0.86
12 A2 1201 1165 0.00 9.13 0.75 0.86
13 A2 949 921 0.00 0.96 0.75 0.86
14 A2 904 878 0.00 1.79 0.75 0.86
15 A2 784 761 0.00 2.18 0.75 0.86
16 A2 336 326 0.00 0.87 0.75 0.86
17 B1 3206 3111 39.26 72.64 0.75 0.86
18 B1 1595 1547 15.68 0.09 0.75 0.86
19 B1 1201 1165 2.20 1.67 0.75 0.86
20 B1 1094 1061 0.37 0.01 0.75 0.86
21 B1 995 965 0.43 6.46 0.75 0.86
22 B1 707 686 47.20 0.76 0.75 0.86
23 B2 3177 3083 27.40 49.01 0.75 0.86
24 B2 3097 3005 17.60 126.83 0.75 0.86
25 B2 1289 1251 38.85 0.00 0.75 0.86
26 B2 1151 1117 7.01 0.14 0.75 0.86
27 B2 942 914 5.88 0.92 0.75 0.86
28 B2 927 899 2.67 1.10 0.75 0.86
29 B2 825 800 12.05 0.18 0.75 0.86
30 B2 486 472 4.77 2.39 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21218.2 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 20590.1 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/aug-cc-pVDZ
ABC
0.25993 0.14795 0.11530

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.790 0.524
C2 0.000 -0.790 0.524
H3 0.000 1.358 1.462
H4 0.000 -1.358 1.462
C5 -1.308 0.672 -0.265
C6 1.308 0.672 -0.265
C7 1.308 -0.672 -0.265
C8 -1.308 -0.672 -0.265
H9 -1.960 1.424 -0.711
H10 1.960 1.424 -0.711
H11 1.960 -1.424 -0.711
H12 -1.960 -1.424 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57971.09662.34371.53221.53222.11462.11462.40192.40193.20433.2043
C21.57972.34371.09662.11462.11461.53221.53223.20433.20432.40192.4019
H31.09662.34372.71592.27222.27222.96902.96902.92712.92714.03764.0376
H42.34371.09662.71592.96902.96902.27222.27224.03764.03762.92712.9271
C51.53222.11462.27222.96902.61662.94181.34451.09033.38323.90832.2400
C61.53222.11462.27222.96902.61661.34452.94183.38321.09032.24003.9083
C72.11461.53222.96902.27222.94181.34452.61663.90832.24001.09033.3832
C82.11461.53222.96902.27221.34452.94182.61662.24003.90833.38321.0903
H92.40193.20432.92714.03761.09033.38323.90832.24003.92004.84512.8476
H102.40193.20432.92714.03763.38321.09032.24003.90833.92002.84764.8451
H113.20432.40194.03762.92713.90832.24001.09033.38324.84512.84763.9200
H123.20432.40194.03762.92712.24003.90833.38321.09032.84764.84513.9200

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 121.203 C1 C2 H7 85.598
C1 C2 H8 85.598 C1 C5 H8 94.402
C1 C5 H9 131.931 C1 C6 H7 94.402
C1 C6 H10 131.931 C2 C1 C3 121.203
C2 C1 C5 85.598 C2 C1 C6 85.598
C2 H7 C6 94.402 C2 H7 H11 131.931
C2 H8 C5 94.402 C2 H8 H12 131.931
C3 C1 C5 118.689 C3 C1 C6 118.689
C4 C2 H7 118.689 C4 C2 H8 118.689
C5 C1 C6 117.275 C5 H8 H12 133.573
C6 H7 H11 133.573 H7 C6 H10 133.573
H8 C5 H9 133.573
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.047      
2 C 1.047      
3 H -0.646      
4 H -0.646      
5 C 0.301      
6 C 0.301      
7 C 0.301      
8 C 0.301      
9 H -0.502      
10 H -0.502      
11 H -0.502      
12 H -0.502      


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 -0.031 0.031
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.430 0.000 0.000
y 0.000 -33.399 0.000
z 0.000 0.000 -36.719
Traceless
 xyz
x -1.372 0.000 0.000
y 0.000 3.176 0.000
z 0.000 0.000 -1.804
Polar
3z2-r2-3.609
x2-y2-3.032
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.693 0.000 0.000
y 0.000 10.582 0.000
z 0.000 0.000 8.008


<r2> (average value of r2) Å2
<r2> 120.033
(<r2>)1/2 10.956