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

using model chemistry: TPSSh/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at TPSSh/6-311+G(3df,2p)
 hartrees
Energy at 0K-232.213783
Energy at 298.15K 
HF Energy-232.213783
Nuclear repulsion energy209.129577
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 TPSSh/6-311+G(3df,2p)
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 3194 3194 10.44 323.83 0.03 0.07
2 A1 3089 3089 32.48 168.65 0.11 0.20
3 A1 1618 1618 0.14 66.39 0.01 0.02
4 A1 1182 1182 4.54 30.93 0.11 0.19
5 A1 1039 1039 2.29 8.18 0.56 0.72
6 A1 949 949 7.78 12.44 0.21 0.34
7 A1 878 878 0.62 4.16 0.50 0.67
8 A1 822 822 77.64 4.75 0.03 0.06
9 A1 387 387 4.61 4.47 0.53 0.69
10 A2 3159 3159 0.00 187.05 0.75 0.86
11 A2 1291 1291 0.00 5.63 0.75 0.86
12 A2 1198 1198 0.00 10.86 0.75 0.86
13 A2 960 960 0.00 0.33 0.75 0.86
14 A2 937 937 0.00 2.27 0.75 0.86
15 A2 784 784 0.00 1.95 0.75 0.86
16 A2 333 333 0.00 0.83 0.75 0.86
17 B1 3191 3191 46.83 74.43 0.75 0.86
18 B1 1590 1590 17.57 0.07 0.75 0.86
19 B1 1198 1198 2.19 1.74 0.75 0.86
20 B1 1105 1105 0.17 0.08 0.75 0.86
21 B1 1001 1001 0.35 6.07 0.75 0.86
22 B1 727 727 48.63 1.09 0.75 0.86
23 B2 3161 3161 34.98 49.21 0.75 0.86
24 B2 3082 3082 18.19 129.83 0.75 0.86
25 B2 1305 1305 37.70 0.00 0.75 0.86
26 B2 1164 1164 6.23 0.17 0.75 0.86
27 B2 969 969 3.45 1.27 0.75 0.86
28 B2 926 926 6.63 0.28 0.75 0.86
29 B2 835 835 10.24 0.35 0.75 0.86
30 B2 486 486 4.78 2.49 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21280.2 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21280.2 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 TPSSh/6-311+G(3df,2p)
ABC
0.26221 0.14985 0.11691

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.784 0.525
C2 0.000 -0.784 0.525
H3 0.000 1.350 1.456
H4 0.000 -1.350 1.456
C5 -1.299 0.668 -0.265
C6 1.299 0.668 -0.265
C7 1.299 -0.668 -0.265
C8 -1.299 -0.668 -0.265
H9 -1.941 1.418 -0.711
H10 1.941 1.418 -0.711
H11 1.941 -1.418 -0.711
H12 -1.941 -1.418 -0.711

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.56881.09002.32911.52481.52482.10292.10292.38692.38693.18553.1855
C21.56882.32911.09002.10292.10291.52481.52483.18553.18552.38692.3869
H31.09002.32912.70052.26192.26192.95402.95402.91042.91044.01644.0164
H42.32911.09002.70052.95402.95402.26192.26194.01644.01642.91042.9104
C51.52482.10292.26192.95402.59832.92201.33681.08333.35563.87972.2284
C61.52482.10292.26192.95402.59831.33682.92203.35561.08332.22843.8797
C72.10291.52482.95402.26192.92201.33682.59833.87972.22841.08333.3556
C82.10291.52482.95402.26191.33682.92202.59832.22843.87973.35561.0833
H92.38693.18552.91044.01641.08333.35563.87972.22843.88194.80802.8368
H102.38693.18552.91044.01643.35561.08332.22843.87973.88192.83684.8080
H113.18552.38694.01642.91043.87972.22841.08333.35564.80802.83683.8819
H123.18552.38694.01642.91042.22843.87973.35561.08332.83684.80803.8819

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 121.275 C1 C2 H7 85.636
C1 C2 H8 85.636 C1 C5 H8 94.364
C1 C5 H9 131.716 C1 C6 H7 94.364
C1 C6 H10 131.716 C2 C1 C3 121.275
C2 C1 C5 85.636 C2 C1 C6 85.636
C2 H7 C6 94.364 C2 H7 H11 131.716
C2 H8 C5 94.364 C2 H8 H12 131.716
C3 C1 C5 118.830 C3 C1 C6 118.830
C4 C2 H7 118.830 C4 C2 H8 118.830
C5 C1 C6 116.861 C5 H8 H12 133.816
C6 H7 H11 133.816 H7 C6 H10 133.816
H8 C5 H9 133.816
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.260      
2 C -0.260      
3 H 0.034      
4 H 0.034      
5 C 0.017      
6 C 0.017      
7 C 0.017      
8 C 0.017      
9 H 0.096      
10 H 0.096      
11 H 0.096      
12 H 0.096      


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 -0.042 0.042
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.554 0.000 0.000
y 0.000 10.323 0.000
z 0.000 0.000 7.833


<r2> (average value of r2) Å2
<r2> 118.512
(<r2>)1/2 10.886