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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-232.173577
Energy at 298.15K 
HF Energy-232.173577
Nuclear repulsion energy208.571881
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 3202 3095 9.40 299.56 0.04 0.07
2 A1 3095 2992 38.47 166.49 0.13 0.24
3 A1 1626 1572 0.03 33.56 0.06 0.10
4 A1 1176 1137 4.89 20.78 0.17 0.29
5 A1 1034 1000 2.49 11.60 0.71 0.83
6 A1 942 910 7.63 10.21 0.25 0.40
7 A1 867 838 0.05 5.48 0.71 0.83
8 A1 812 785 76.31 5.49 0.08 0.15
9 A1 391 378 4.71 10.47 0.61 0.76
10 A2 3168 3062 0.00 188.50 0.75 0.86
11 A2 1283 1241 0.00 5.45 0.75 0.86
12 A2 1200 1160 0.00 11.97 0.75 0.86
13 A2 954 923 0.00 0.10 0.75 0.86
14 A2 934 903 0.00 0.97 0.75 0.86
15 A2 792 766 0.00 2.97 0.75 0.86
16 A2 341 329 0.00 2.06 0.75 0.86
17 B1 3199 3092 45.29 74.18 0.75 0.86
18 B1 1599 1546 10.21 1.71 0.75 0.86
19 B1 1203 1163 1.78 2.38 0.75 0.86
20 B1 1095 1059 0.32 0.04 0.75 0.86
21 B1 993 960 0.34 7.67 0.75 0.86
22 B1 720 696 46.60 4.26 0.75 0.86
23 B2 3169 3064 30.82 50.38 0.75 0.86
24 B2 3088 2986 17.93 133.30 0.75 0.86
25 B2 1294 1251 38.35 0.03 0.75 0.86
26 B2 1160 1122 6.53 0.64 0.75 0.86
27 B2 969 936 3.20 0.79 0.75 0.86
28 B2 939 908 6.04 0.25 0.75 0.86
29 B2 832 804 11.16 1.55 0.75 0.86
30 B2 491 474 5.62 5.31 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21283.2 cm-1
Scaled (by 0.9668) Zero Point Vibrational Energy (zpe) 20576.6 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 B3LYP/6-311G**
ABC
0.26203 0.14849 0.11592

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 0.523
C2 0.000 -0.788 0.523
H3 0.000 1.353 1.456
H4 0.000 -1.353 1.456
C5 -1.306 0.668 -0.265
C6 1.306 0.668 -0.265
C7 1.306 -0.668 -0.265
C8 -1.306 -0.668 -0.265
H9 -1.953 1.416 -0.708
H10 1.953 1.416 -0.708
H11 1.953 -1.416 -0.708
H12 -1.953 -1.416 -0.708

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57561.09072.33501.53021.53022.10902.10902.39282.39283.19203.1920
C21.57562.33501.09072.10902.10901.53021.53023.19203.19202.39282.3928
H31.09072.33502.70532.26622.26622.95842.95842.91562.91564.02054.0205
H42.33501.09072.70532.95842.95842.26622.26624.02054.02052.91562.9156
C51.53022.10902.26622.95842.61282.93501.33681.08363.37383.89482.2274
C61.53022.10902.26622.95842.61281.33682.93503.37381.08362.22743.8948
C72.10901.53022.95842.26622.93501.33682.61283.89482.22741.08363.3738
C82.10901.53022.95842.26621.33682.93502.61282.22743.89483.37381.0836
H92.39283.19202.91564.02051.08363.37383.89482.22743.90704.82592.8328
H102.39283.19202.91564.02053.37381.08362.22743.89483.90702.83284.8259
H113.19202.39284.02052.91563.89482.22741.08363.37384.82592.83283.9070
H123.19202.39284.02052.91562.22743.89483.37381.08362.83284.82593.9070

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 121.191 C1 C2 H7 85.524
C1 C2 H8 85.524 C1 C5 H8 94.476
C1 C5 H9 131.782 C1 C6 H7 94.476
C1 C6 H10 131.782 C2 C1 C3 121.191
C2 C1 C5 85.524 C2 C1 C6 85.524
C2 H7 C6 94.476 C2 H7 H11 131.782
C2 H8 C5 94.476 C2 H8 H12 131.782
C3 C1 C5 118.735 C3 C1 C6 118.735
C4 C2 H7 118.735 C4 C2 H8 118.735
C5 C1 C6 117.250 C5 H8 H12 133.650
C6 H7 H11 133.650 H7 C6 H10 133.650
H8 C5 H9 133.650
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 -0.146      
2 C -0.146      
3 H 0.124      
4 H 0.124      
5 C -0.077      
6 C -0.077      
7 C -0.077      
8 C -0.077      
9 H 0.088      
10 H 0.088      
11 H 0.088      
12 H 0.088      


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 -0.026 0.026
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.604 0.000 0.000
y 0.000 -33.133 0.000
z 0.000 0.000 -36.232
Traceless
 xyz
x -0.921 0.000 0.000
y 0.000 2.785 0.000
z 0.000 0.000 -1.864
Polar
3z2-r2-3.728
x2-y2-2.471
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.147 0.000 0.000
y 0.000 9.761 0.000
z 0.000 0.000 6.420


<r2> (average value of r2) Å2
<r2> 119.140
(<r2>)1/2 10.915