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

using model chemistry: B3LYP/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at B3LYP/6-311G*
 hartrees
Energy at 0K-232.162546
Energy at 298.15K 
HF Energy-232.162546
Nuclear repulsion energy208.528695
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 B3LYP/6-311G*
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 3199 3091 11.79 295.18 0.04 0.07
2 A1 3096 2992 47.18 160.79 0.14 0.25
3 A1 1629 1574 0.06 32.30 0.05 0.10
4 A1 1178 1138 5.03 20.74 0.17 0.29
5 A1 1037 1002 2.56 11.50 0.72 0.83
6 A1 941 910 6.86 9.75 0.26 0.41
7 A1 868 839 0.02 5.38 0.71 0.83
8 A1 808 780 78.82 5.52 0.08 0.15
9 A1 389 376 5.29 10.53 0.62 0.77
10 A2 3164 3058 0.00 189.49 0.75 0.86
11 A2 1290 1246 0.00 5.88 0.75 0.86
12 A2 1209 1169 0.00 11.40 0.75 0.86
13 A2 953 921 0.00 0.37 0.75 0.86
14 A2 923 892 0.00 0.89 0.75 0.86
15 A2 793 767 0.00 2.83 0.75 0.86
16 A2 342 330 0.00 2.14 0.75 0.86
17 B1 3196 3088 57.45 74.49 0.75 0.86
18 B1 1603 1549 10.29 1.66 0.75 0.86
19 B1 1212 1172 1.93 2.58 0.75 0.86
20 B1 1098 1061 0.33 0.02 0.75 0.86
21 B1 995 961 0.34 7.42 0.75 0.86
22 B1 713 689 48.30 4.09 0.75 0.86
23 B2 3166 3059 43.32 50.83 0.75 0.86
24 B2 3089 2985 21.07 133.29 0.75 0.86
25 B2 1299 1256 38.85 0.03 0.75 0.86
26 B2 1164 1125 6.28 0.73 0.75 0.86
27 B2 958 926 4.85 0.68 0.75 0.86
28 B2 939 908 4.69 0.49 0.75 0.86
29 B2 830 802 11.50 1.41 0.75 0.86
30 B2 491 474 5.66 5.34 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21286.4 cm-1
Scaled (by 0.9663) Zero Point Vibrational Energy (zpe) 20569.1 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 B3LYP/6-311G*
ABC
0.26208 0.14839 0.11585

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G*

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 1.351 1.458
H4 0.000 -1.351 1.458
C5 -1.307 0.668 -0.264
C6 1.307 0.668 -0.264
C7 1.307 -0.668 -0.264
C8 -1.307 -0.668 -0.264
H9 -1.954 1.417 -0.710
H10 1.954 1.417 -0.710
H11 1.954 -1.417 -0.710
H12 -1.954 -1.417 -0.710

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57591.09152.33411.53011.53012.10902.10902.39422.39423.19343.1934
C21.57592.33411.09152.10902.10901.53011.53013.19343.19342.39422.3942
H31.09152.33412.70112.26682.26682.95792.95792.91902.91904.02174.0217
H42.33411.09152.70112.95792.95792.26682.26684.02174.02172.91902.9190
C51.53012.10902.26682.95792.61402.93601.33681.08513.37573.89662.2283
C61.53012.10902.26682.95792.61401.33682.93603.37571.08512.22833.8966
C72.10901.53012.95792.26682.93601.33682.61403.89662.22831.08513.3757
C82.10901.53012.95792.26681.33682.93602.61402.22833.89663.37571.0851
H92.39423.19342.91904.02171.08513.37573.89662.22833.90894.82782.8335
H102.39423.19342.91904.02173.37571.08512.22833.89663.90892.83354.8278
H113.19342.39424.02172.91903.89662.22831.08513.37574.82782.83353.9089
H123.19342.39424.02172.91902.22833.89663.37571.08512.83354.82783.9089

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 121.026 C1 C2 H7 85.520
C1 C2 H8 85.520 C1 C5 H8 94.480
C1 C5 H9 131.815 C1 C6 H7 94.480
C1 C6 H10 131.815 C2 C1 C3 121.026
C2 C1 C5 85.520 C2 C1 C6 85.520
C2 H7 C6 94.480 C2 H7 H11 131.815
C2 H8 C5 94.480 C2 H8 H12 131.815
C3 C1 C5 118.734 C3 C1 C6 118.734
C4 C2 H7 118.734 C4 C2 H8 118.734
C5 C1 C6 117.346 C5 H8 H12 133.602
C6 H7 H11 133.602 H7 C6 H10 133.602
H8 C5 H9 133.602
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.246      
2 C -0.246      
3 H 0.207      
4 H 0.207      
5 C -0.162      
6 C -0.162      
7 C -0.162      
8 C -0.162      
9 H 0.181      
10 H 0.181      
11 H 0.181      
12 H 0.181      


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 -0.045 0.045
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.608 0.000 0.000
y 0.000 -33.078 0.000
z 0.000 0.000 -36.309
Traceless
 xyz
x -0.914 0.000 0.000
y 0.000 2.880 0.000
z 0.000 0.000 -1.966
Polar
3z2-r2-3.932
x2-y2-2.530
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.085 0.000 0.000
y 0.000 9.698 0.000
z 0.000 0.000 6.364


<r2> (average value of r2) Å2
<r2> 119.199
(<r2>)1/2 10.918