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

using model chemistry: B3LYPultrafine/TZVP

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/TZVP
 hartrees
Energy at 0K-232.191213
Energy at 298.15K 
HF Energy-232.191213
Nuclear repulsion energy208.807479
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/TZVP
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 3210 3093 7.74 298.97 0.03 0.07
2 A1 3104 2990 29.45 163.48 0.12 0.21
3 A1 1626 1566 0.13 44.72 0.03 0.06
4 A1 1176 1133 4.91 25.39 0.14 0.25
5 A1 1037 999 2.74 8.74 0.68 0.81
6 A1 940 906 8.66 9.71 0.22 0.36
7 A1 863 831 0.17 4.97 0.69 0.82
8 A1 813 783 79.95 6.79 0.04 0.08
9 A1 391 377 5.16 7.66 0.56 0.72
10 A2 3178 3061 0.00 172.09 0.75 0.86
11 A2 1287 1240 0.00 4.75 0.75 0.86
12 A2 1207 1163 0.00 11.66 0.75 0.86
13 A2 955 920 0.00 0.07 0.75 0.86
14 A2 935 901 0.00 2.02 0.75 0.86
15 A2 792 763 0.00 2.83 0.75 0.86
16 A2 341 328 0.00 1.76 0.75 0.86
17 B1 3207 3090 37.63 65.38 0.75 0.86
18 B1 1599 1541 13.18 0.71 0.75 0.86
19 B1 1206 1162 1.65 2.00 0.75 0.86
20 B1 1099 1059 0.43 0.08 0.75 0.86
21 B1 992 956 0.40 6.79 0.75 0.86
22 B1 722 696 48.60 2.70 0.75 0.86
23 B2 3179 3063 24.66 47.49 0.75 0.86
24 B2 3097 2984 16.43 123.61 0.75 0.86
25 B2 1301 1253 38.16 0.02 0.75 0.86
26 B2 1164 1122 7.45 0.34 0.75 0.86
27 B2 970 934 2.93 1.10 0.75 0.86
28 B2 940 906 6.22 0.36 0.75 0.86
29 B2 831 800 11.71 0.97 0.75 0.86
30 B2 489 471 5.18 3.55 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21325.0 cm-1
Scaled (by 0.9634) Zero Point Vibrational Energy (zpe) 20544.5 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/TZVP
ABC
0.26271 0.14884 0.11612

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

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 1.453
H4 0.000 -1.351 1.453
C5 -1.305 0.668 -0.264
C6 1.305 0.668 -0.264
C7 1.305 -0.668 -0.264
C8 -1.305 -0.668 -0.264
H9 -1.952 1.415 -0.705
H10 1.952 1.415 -0.705
H11 1.952 -1.415 -0.705
H12 -1.952 -1.415 -0.705

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57531.08932.33321.52801.52802.10672.10672.38912.38913.18863.1886
C21.57532.33321.08932.10672.10671.52801.52803.18863.18862.38912.3891
H31.08932.33322.70262.26302.26302.95462.95462.91072.91074.01534.0153
H42.33321.08932.70262.95462.95462.26302.26304.01534.01532.91072.9107
C51.52802.10672.26302.95462.61042.93201.33521.08253.37103.89142.2252
C61.52802.10672.26302.95462.61041.33522.93203.37101.08252.22523.8914
C72.10671.52802.95462.26302.93201.33522.61043.89142.22521.08253.3710
C82.10671.52802.95462.26301.33522.93202.61042.22523.89143.37101.0825
H92.38913.18862.91074.01531.08253.37103.89142.22523.90444.82262.8308
H102.38913.18862.91074.01533.37101.08252.22523.89143.90442.83084.8226
H113.18862.38914.01532.91073.89142.22521.08253.37104.82262.83083.9044
H123.18862.38914.01532.91072.22523.89143.37101.08252.83084.82263.9044

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 121.163 C1 C2 H7 85.494
C1 C2 H8 85.494 C1 C5 H8 94.506
C1 C5 H9 131.715 C1 C6 H7 94.506
C1 C6 H10 131.715 C2 C1 C3 121.163
C2 C1 C5 85.494 C2 C1 C6 85.494
C2 H7 C6 94.506 C2 H7 H11 131.715
C2 H8 C5 94.506 C2 H8 H12 131.715
C3 C1 C5 118.718 C3 C1 C6 118.718
C4 C2 H7 118.718 C4 C2 H8 118.718
C5 C1 C6 117.338 C5 H8 H12 133.692
C6 H7 H11 133.692 H7 C6 H10 133.692
H8 C5 H9 133.692
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.133      
2 C -0.133      
3 H 0.152      
4 H 0.152      
5 C -0.133      
6 C -0.133      
7 C -0.133      
8 C -0.133      
9 H 0.124      
10 H 0.124      
11 H 0.124      
12 H 0.124      


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 -0.041 0.041
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.007 0.000 0.000
y 0.000 -33.258 0.000
z 0.000 0.000 -36.504
Traceless
 xyz
x -1.126 0.000 0.000
y 0.000 2.998 0.000
z 0.000 0.000 -1.872
Polar
3z2-r2-3.744
x2-y2-2.750
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.839 0.000 0.000
y 0.000 10.168 0.000
z 0.000 0.000 7.209


<r2> (average value of r2) Å2
<r2> 119.101
(<r2>)1/2 10.913