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

using model chemistry: PBE1PBE/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 PBE1PBE/cc-pVTZ
 hartrees
Energy at 0K-231.913835
Energy at 298.15K 
HF Energy-231.913835
Nuclear repulsion energy209.786479
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 PBE1PBE/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 3223 3097 7.45 299.44 0.04 0.07
2 A1 3120 2999 26.45 161.35 0.11 0.20
3 A1 1648 1584 0.13 41.35 0.04 0.08
4 A1 1193 1147 5.36 22.56 0.14 0.25
5 A1 1041 1000 1.73 9.67 0.62 0.77
6 A1 966 929 5.64 11.56 0.26 0.41
7 A1 888 853 0.17 4.82 0.61 0.76
8 A1 826 794 77.85 4.41 0.05 0.09
9 A1 391 376 4.74 7.75 0.58 0.74
10 A2 3188 3064 0.00 173.83 0.75 0.86
11 A2 1300 1250 0.00 6.37 0.75 0.86
12 A2 1201 1154 0.00 10.78 0.75 0.86
13 A2 974 936 0.00 0.19 0.75 0.86
14 A2 948 911 0.00 0.96 0.75 0.86
15 A2 792 761 0.00 2.20 0.75 0.86
16 A2 341 327 0.00 1.63 0.75 0.86
17 B1 3220 3095 36.96 71.50 0.75 0.86
18 B1 1620 1557 10.83 1.20 0.75 0.86
19 B1 1209 1162 1.59 1.30 0.75 0.86
20 B1 1108 1064 0.31 0.05 0.75 0.86
21 B1 1015 975 0.02 6.64 0.75 0.86
22 B1 730 701 45.76 2.93 0.75 0.86
23 B2 3190 3066 24.55 44.54 0.75 0.86
24 B2 3114 2992 14.24 125.83 0.75 0.86
25 B2 1306 1255 40.25 0.01 0.75 0.86
26 B2 1167 1121 6.02 0.46 0.75 0.86
27 B2 980 942 1.91 0.92 0.75 0.86
28 B2 936 900 8.40 0.23 0.75 0.86
29 B2 846 813 12.49 0.99 0.75 0.86
30 B2 492 472 5.42 3.84 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21486.4 cm-1
Scaled (by 0.961) Zero Point Vibrational Energy (zpe) 20648.4 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 PBE1PBE/cc-pVTZ
ABC
0.26442 0.15068 0.11753

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.781 0.520
C2 0.000 -0.781 0.520
H3 0.000 1.343 1.454
H4 0.000 -1.343 1.454
C5 -1.296 0.666 -0.263
C6 1.296 0.666 -0.263
C7 1.296 -0.666 -0.263
C8 -1.296 -0.666 -0.263
H9 -1.941 1.415 -0.706
H10 1.941 1.415 -0.706
H11 1.941 -1.415 -0.706
H12 -1.941 -1.415 -0.706

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56171.08962.31971.51861.51862.09472.09472.38202.38203.17713.1771
C21.56172.31971.08962.09472.09471.51861.51863.17713.17712.38202.3820
H31.08962.31972.68542.25512.25512.94352.94352.90492.90494.00494.0049
H42.31971.08962.68542.94352.94352.25512.25514.00494.00492.90492.9049
C51.51862.09472.25512.94352.59162.91421.33281.08303.35153.87362.2237
C61.51862.09472.25512.94352.59161.33282.91423.35151.08302.22373.8736
C72.09471.51862.94352.25512.91421.33282.59163.87362.22371.08303.3515
C82.09471.51862.94352.25511.33282.91422.59162.22373.87363.35151.0830
H92.38203.17712.90494.00491.08303.35153.87362.22373.88184.80402.8303
H102.38203.17712.90494.00493.35151.08302.22373.87363.88182.83034.8040
H113.17712.38204.00492.90493.87362.22371.08303.35154.80402.83033.8818
H123.17712.38204.00492.90492.22373.87363.35151.08302.83034.80403.8818

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 121.039 C1 C2 H7 85.677
C1 C2 H8 85.677 C1 C5 H8 94.323
C1 C5 H9 131.848 C1 C6 H7 94.323
C1 C6 H10 131.848 C2 C1 C3 121.039
C2 C1 C5 85.677 C2 C1 C6 85.677
C2 H7 C6 94.323 C2 H7 H11 131.848
C2 H8 C5 94.323 C2 H8 H12 131.848
C3 C1 C5 118.751 C3 C1 C6 118.751
C4 C2 H7 118.751 C4 C2 H8 118.751
C5 C1 C6 117.133 C5 H8 H12 133.737
C6 H7 H11 133.737 H7 C6 H10 133.737
H8 C5 H9 133.737
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.023      
2 C -0.023      
3 H 0.093      
4 H 0.093      
5 C -0.150      
6 C -0.150      
7 C -0.150      
8 C -0.150      
9 H 0.115      
10 H 0.115      
11 H 0.115      
12 H 0.115      


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 -0.030 0.030
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.511 0.000 0.000
y 0.000 -32.715 0.000
z 0.000 0.000 -36.025
Traceless
 xyz
x -1.140 0.000 0.000
y 0.000 3.053 0.000
z 0.000 0.000 -1.912
Polar
3z2-r2-3.825
x2-y2-2.795
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.567 0.000 0.000
y 0.000 9.925 0.000
z 0.000 0.000 6.937


<r2> (average value of r2) Å2
<r2> 117.796
(<r2>)1/2 10.853