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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-311G*
 hartrees
Energy at 0K-231.856433
Energy at 298.15K 
HF Energy-231.856433
Nuclear repulsion energy207.905226
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 PBEPBEultrafine/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 3130 3097 12.29 317.61 0.04 0.07
2 A1 3029 2997 41.83 170.85 0.14 0.25
3 A1 1585 1569 0.08 32.71 0.04 0.08
4 A1 1144 1132 5.39 19.80 0.17 0.29
5 A1 998 988 2.50 11.82 0.73 0.85
6 A1 925 915 2.73 8.77 0.27 0.43
7 A1 856 847 0.12 5.37 0.69 0.82
8 A1 783 775 80.41 4.98 0.11 0.20
9 A1 377 373 5.35 11.80 0.62 0.77
10 A2 3095 3063 0.00 203.70 0.75 0.86
11 A2 1244 1231 0.00 6.89 0.75 0.86
12 A2 1158 1146 0.00 12.07 0.75 0.86
13 A2 934 925 0.00 0.71 0.75 0.86
14 A2 878 869 0.00 0.46 0.75 0.86
15 A2 766 758 0.00 2.14 0.75 0.86
16 A2 330 326 0.00 2.13 0.75 0.86
17 B1 3126 3094 61.31 79.66 0.75 0.86
18 B1 1559 1542 10.90 2.14 0.75 0.86
19 B1 1162 1150 0.64 3.59 0.75 0.86
20 B1 1068 1057 0.30 0.00 0.75 0.86
21 B1 977 967 0.00 6.91 0.75 0.86
22 B1 687 680 50.01 4.90 0.75 0.86
23 B2 3096 3064 44.87 52.97 0.75 0.86
24 B2 3022 2990 18.28 139.36 0.75 0.86
25 B2 1255 1242 38.81 0.03 0.75 0.86
26 B2 1117 1106 5.50 0.64 0.75 0.86
27 B2 919 909 5.37 0.21 0.75 0.86
28 B2 900 891 5.31 0.92 0.75 0.86
29 B2 803 795 12.48 1.31 0.75 0.86
30 B2 470 465 4.88 5.74 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 20696.7 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 20481.5 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 PBEPBEultrafine/6-311G*
ABC
0.25963 0.14812 0.11537

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-311G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.789 0.522
C2 0.000 -0.789 0.522
H3 0.000 1.351 1.468
H4 0.000 -1.351 1.468
C5 -1.308 0.673 -0.265
C6 1.308 0.673 -0.265
C7 1.308 -0.673 -0.265
C8 -1.308 -0.673 -0.265
H9 -1.956 1.430 -0.715
H10 1.956 1.430 -0.715
H11 1.956 -1.430 -0.715
H12 -1.956 -1.430 -0.715

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.57801.10022.33961.53061.53062.11362.11362.40162.40163.20643.2064
C21.57802.33961.10022.11362.11361.53061.53063.20643.20642.40162.4016
H31.10022.33962.70182.27422.27422.96812.96812.93222.93224.04044.0404
H42.33961.10022.70182.96812.96812.27422.27424.04044.04042.93222.9322
C51.53062.11362.27422.96812.61522.94141.34641.09363.38053.90872.2465
C61.53062.11362.27422.96812.61521.34642.94143.38051.09362.24653.9087
C72.11361.53062.96812.27422.94141.34642.61523.90872.24651.09363.3805
C82.11361.53062.96812.27421.34642.94142.61522.24653.90873.38051.0936
H92.40163.20642.93224.04041.09363.38053.90872.24653.91234.84632.8601
H102.40163.20642.93224.04043.38051.09362.24653.90873.91232.86014.8463
H113.20642.40164.04042.93223.90872.24651.09363.38054.84632.86013.9123
H123.20642.40164.04042.93222.24653.90873.38051.09362.86014.84633.9123

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 120.712 C1 C2 H7 85.660
C1 C2 H8 85.660 C1 C5 H8 94.340
C1 C5 H9 131.750 C1 C6 H7 94.340
C1 C6 H10 131.750 C2 C1 C3 120.712
C2 C1 C5 85.660 C2 C1 C6 85.660
C2 H7 C6 94.340 C2 H7 H11 131.750
C2 H8 C5 94.340 C2 H8 H12 131.750
C3 C1 C5 118.732 C3 C1 C6 118.732
C4 C2 H7 118.732 C4 C2 H8 118.732
C5 C1 C6 117.372 C5 H8 H12 133.794
C6 H7 H11 133.794 H7 C6 H10 133.794
H8 C5 H9 133.794
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.268      
2 C -0.268      
3 H 0.210      
4 H 0.210      
5 C -0.148      
6 C -0.148      
7 C -0.148      
8 C -0.148      
9 H 0.176      
10 H 0.176      
11 H 0.176      
12 H 0.176      


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 -0.021 0.021
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -35.561 0.000 0.000
y 0.000 -33.021 0.000
z 0.000 0.000 -36.212
Traceless
 xyz
x -0.944 0.000 0.000
y 0.000 2.865 0.000
z 0.000 0.000 -1.920
Polar
3z2-r2-3.841
x2-y2-2.540
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.461 0.000 0.000
y 0.000 9.854 0.000
z 0.000 0.000 6.555


<r2> (average value of r2) Å2
<r2> 119.646
(<r2>)1/2 10.938