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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/cc-pVTZ
 hartrees
Energy at 0K-232.196605
Energy at 298.15K 
HF Energy-232.196605
Nuclear repulsion energy209.033959
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/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 3203 3097 8.79 306.79 0.04 0.07
2 A1 3099 2996 32.32 164.09 0.12 0.21
3 A1 1627 1573 0.06 38.97 0.04 0.08
4 A1 1177 1138 4.50 23.47 0.15 0.27
5 A1 1037 1002 2.58 9.93 0.69 0.82
6 A1 941 910 7.58 11.24 0.22 0.36
7 A1 864 835 0.13 5.00 0.68 0.81
8 A1 815 788 72.24 5.11 0.04 0.08
9 A1 390 377 4.53 8.23 0.59 0.74
10 A2 3170 3064 0.00 182.36 0.75 0.86
11 A2 1289 1246 0.00 4.57 0.75 0.86
12 A2 1206 1165 0.00 12.00 0.75 0.86
13 A2 957 925 0.00 0.05 0.75 0.86
14 A2 937 906 0.00 1.54 0.75 0.86
15 A2 792 766 0.00 2.57 0.75 0.86
16 A2 342 331 0.00 1.63 0.75 0.86
17 B1 3200 3094 41.83 75.04 0.75 0.86
18 B1 1601 1547 12.01 1.19 0.75 0.86
19 B1 1205 1165 2.06 1.85 0.75 0.86
20 B1 1100 1064 0.25 0.06 0.75 0.86
21 B1 993 960 0.44 6.76 0.75 0.86
22 B1 723 699 43.99 2.97 0.75 0.86
23 B2 3172 3066 28.97 48.05 0.75 0.86
24 B2 3092 2990 17.25 128.06 0.75 0.86
25 B2 1302 1259 37.54 0.03 0.75 0.86
26 B2 1165 1126 6.59 0.54 0.75 0.86
27 B2 973 940 3.06 0.80 0.75 0.86
28 B2 940 909 5.91 0.16 0.75 0.86
29 B2 832 804 10.80 1.13 0.75 0.86
30 B2 491 474 5.38 3.89 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21316.1 cm-1
Scaled (by 0.9667) Zero Point Vibrational Energy (zpe) 20606.3 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/cc-pVTZ
ABC
0.26331 0.14913 0.11638

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.786 0.521
C2 0.000 -0.786 0.521
H3 0.000 1.350 1.451
H4 0.000 -1.350 1.451
C5 -1.304 0.667 -0.264
C6 1.304 0.667 -0.264
C7 1.304 -0.667 -0.264
C8 -1.304 -0.667 -0.264
H9 -1.950 1.413 -0.705
H10 1.950 1.413 -0.705
H11 1.950 -1.413 -0.705
H12 -1.950 -1.413 -0.705

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57291.08802.33061.52661.52662.10432.10432.38742.38743.18503.1850
C21.57292.33061.08802.10432.10431.52661.52663.18503.18502.38742.3874
H31.08802.33062.70072.26052.26052.95152.95152.90852.90854.01134.0113
H42.33061.08802.70072.95152.95152.26052.26054.01134.01132.90852.9085
C51.52662.10432.26052.95152.60772.92891.33371.08133.36763.88702.2221
C61.52662.10432.26052.95152.60771.33372.92893.36761.08132.22213.8870
C72.10431.52662.95152.26052.92891.33372.60773.88702.22211.08133.3676
C82.10431.52662.95152.26051.33372.92892.60772.22213.88703.36761.0813
H92.38743.18502.90854.01131.08133.36763.88702.22213.90054.81652.8257
H102.38743.18502.90854.01133.36761.08132.22213.88703.90052.82574.8165
H113.18502.38744.01132.90853.88702.22211.08133.36764.81652.82573.9005
H123.18502.38744.01132.90852.22213.88703.36761.08132.82574.81653.9005

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 121.217 C1 C2 H7 85.505
C1 C2 H8 85.505 C1 C5 H8 94.495
C1 C5 H9 131.791 C1 C6 H7 94.495
C1 C6 H10 131.791 C2 C1 C3 121.217
C2 C1 C5 85.505 C2 C1 C6 85.505
C2 H7 C6 94.495 C2 H7 H11 131.791
C2 H8 C5 94.495 C2 H8 H12 131.791
C3 C1 C5 118.707 C3 C1 C6 118.707
C4 C2 H7 118.707 C4 C2 H8 118.707
C5 C1 C6 117.321 C5 H8 H12 133.623
C6 H7 H11 133.623 H7 C6 H10 133.623
H8 C5 H9 133.623
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.019      
2 C -0.019      
3 H 0.094      
4 H 0.094      
5 C -0.146      
6 C -0.146      
7 C -0.146      
8 C -0.146      
9 H 0.109      
10 H 0.109      
11 H 0.109      
12 H 0.109      


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 -0.029 0.029
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.859 0.000 0.000
y 0.000 -33.138 0.000
z 0.000 0.000 -36.338
Traceless
 xyz
x -1.121 0.000 0.000
y 0.000 2.960 0.000
z 0.000 0.000 -1.839
Polar
3z2-r2-3.679
x2-y2-2.721
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.670 0.000 0.000
y 0.000 10.023 0.000
z 0.000 0.000 6.969


<r2> (average value of r2) Å2
<r2> 118.802
(<r2>)1/2 10.900