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

using model chemistry: HF/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at HF/6-31G(2df,p)
 hartrees
Energy at 0K-230.591055
Energy at 298.15K 
HF Energy-230.591055
Nuclear repulsion energy210.052593
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 HF/6-31G(2df,p)
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 3369 3051 8.33 239.52 0.03 0.06
2 A1 3248 2941 51.31 129.37 0.14 0.25
3 A1 1779 1611 0.08 39.25 0.10 0.18
4 A1 1306 1182 3.71 20.18 0.19 0.31
5 A1 1146 1038 1.27 14.89 0.58 0.73
6 A1 1028 930 23.83 15.01 0.25 0.40
7 A1 948 858 0.01 6.42 0.69 0.81
8 A1 900 815 57.35 8.89 0.06 0.11
9 A1 423 383 3.41 8.35 0.61 0.76
10 A2 3332 3017 0.00 150.02 0.75 0.86
11 A2 1429 1294 0.00 5.38 0.75 0.86
12 A2 1321 1197 0.00 10.15 0.75 0.86
13 A2 1065 965 0.00 0.16 0.75 0.86
14 A2 1024 928 0.00 0.34 0.75 0.86
15 A2 856 775 0.00 4.37 0.75 0.86
16 A2 365 331 0.00 2.61 0.75 0.86
17 B1 3366 3048 45.55 51.08 0.75 0.86
18 B1 1751 1586 8.41 1.10 0.75 0.86
19 B1 1348 1221 10.21 0.57 0.75 0.86
20 B1 1195 1082 0.00 0.01 0.75 0.86
21 B1 1075 974 2.04 10.92 0.75 0.86
22 B1 814 737 36.39 2.66 0.75 0.86
23 B2 3333 3018 32.71 39.36 0.75 0.86
24 B2 3238 2932 29.34 114.10 0.75 0.86
25 B2 1422 1288 39.87 0.04 0.75 0.86
26 B2 1288 1166 3.87 0.80 0.75 0.86
27 B2 1086 983 3.80 1.38 0.75 0.86
28 B2 1018 922 5.84 0.02 0.75 0.86
29 B2 915 828 8.12 2.16 0.75 0.86
30 B2 545 493 8.60 5.18 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 22966.3 cm-1
Scaled (by 0.9055) Zero Point Vibrational Energy (zpe) 20796.0 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 HF/6-31G(2df,p)
ABC
0.26735 0.14963 0.11740

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-31G(2df,p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.778 0.522
C2 0.000 -0.778 0.522
H3 0.000 1.345 1.443
H4 0.000 -1.345 1.443
C5 -1.302 0.660 -0.264
C6 1.302 0.660 -0.264
C7 1.302 -0.660 -0.264
C8 -1.302 -0.660 -0.264
H9 -1.948 1.400 -0.700
H10 1.948 1.400 -0.700
H11 1.948 -1.400 -0.700
H12 -1.948 -1.400 -0.700

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.55541.08232.31441.52501.52502.09282.09282.38192.38193.16693.1669
C21.55542.31441.08232.09282.09281.52501.52503.16693.16692.38192.3819
H31.08232.31442.69062.25362.25362.93802.93802.89652.89653.99053.9905
H42.31441.08232.69062.93802.93802.25362.25363.99053.99052.89652.8965
C51.52502.09282.25362.93802.60312.91891.32061.07463.36073.87202.2029
C61.52502.09282.25362.93802.60311.32062.91893.36071.07462.20293.8720
C72.09281.52502.93802.25362.91891.32062.60313.87202.20291.07463.3607
C82.09281.52502.93802.25361.32062.91892.60312.20293.87203.36071.0746
H92.38193.16692.89653.99051.07463.36073.87202.20293.89514.79742.8004
H102.38193.16692.89653.99053.36071.07462.20293.87203.89512.80044.7974
H113.16692.38193.99052.89653.87202.20291.07463.36074.79742.80043.8951
H123.16692.38193.99052.89652.20293.87203.36071.07462.80044.79743.8951

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 121.630 C1 C2 H7 85.584
C1 C2 H8 85.584 C1 C5 H8 94.416
C1 C5 H9 131.996 C1 C6 H7 94.416
C1 C6 H10 131.996 C2 C1 C3 121.630
C2 C1 C5 85.584 C2 C1 C6 85.584
C2 H7 C6 94.416 C2 H7 H11 131.996
C2 H8 C5 94.416 C2 H8 H12 131.996
C3 C1 C5 118.637 C3 C1 C6 118.637
C4 C2 H7 118.637 C4 C2 H8 118.637
C5 C1 C6 117.180 C5 H8 H12 133.518
C6 H7 H11 133.518 H7 C6 H10 133.518
H8 C5 H9 133.518
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.117      
2 C -0.117      
3 H 0.125      
4 H 0.125      
5 C -0.146      
6 C -0.146      
7 C -0.146      
8 C -0.146      
9 H 0.143      
10 H 0.143      
11 H 0.143      
12 H 0.143      


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 -0.115 0.115
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.032 0.000 0.000
y 0.000 -32.526 0.000
z 0.000 0.000 -35.927
Traceless
 xyz
x -0.806 0.000 0.000
y 0.000 2.954 0.000
z 0.000 0.000 -2.148
Polar
3z2-r2-4.297
x2-y2-2.507
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.175 0.000 0.000
y 0.000 9.275 0.000
z 0.000 0.000 5.826


<r2> (average value of r2) Å2
<r2> 117.625
(<r2>)1/2 10.846