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

using model chemistry: TPSSh/3-21G*

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/3-21G*
 hartrees
Energy at 0K-230.860104
Energy at 298.15K 
HF Energy-230.860104
Nuclear repulsion energy206.791201
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/3-21G*
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 3251 3139 6.76 246.30 0.02 0.04
2 A1 3162 3054 23.54 117.45 0.19 0.32
3 A1 1598 1543 0.10 23.24 0.06 0.11
4 A1 1166 1126 6.28 20.14 0.24 0.38
5 A1 1041 1005 5.83 12.87 0.74 0.85
6 A1 931 899 11.23 12.16 0.25 0.40
7 A1 839 810 2.77 7.95 0.71 0.83
8 A1 822 794 79.28 7.19 0.06 0.11
9 A1 388 375 4.27 13.40 0.64 0.78
10 A2 3209 3099 0.00 148.74 0.75 0.86
11 A2 1281 1237 0.00 1.65 0.75 0.86
12 A2 1196 1155 0.00 14.85 0.75 0.86
13 A2 955 922 0.00 0.03 0.75 0.86
14 A2 911 880 0.00 0.18 0.75 0.86
15 A2 804 776 0.00 5.60 0.75 0.86
16 A2 347 335 0.00 3.45 0.75 0.86
17 B1 3246 3134 42.89 54.84 0.75 0.86
18 B1 1569 1516 8.15 2.82 0.75 0.86
19 B1 1194 1153 0.19 4.41 0.75 0.86
20 B1 1103 1065 0.05 0.73 0.75 0.86
21 B1 965 932 2.73 8.64 0.75 0.86
22 B1 742 716 64.49 3.12 0.75 0.86
23 B2 3212 3101 24.96 38.87 0.75 0.86
24 B2 3152 3044 10.05 119.99 0.75 0.86
25 B2 1300 1255 35.08 0.03 0.75 0.86
26 B2 1140 1101 11.11 0.78 0.75 0.86
27 B2 978 945 7.21 0.53 0.75 0.86
28 B2 951 919 0.35 0.11 0.75 0.86
29 B2 830 802 8.98 2.67 0.75 0.86
30 B2 491 474 5.67 7.38 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 21386.3 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 20652.8 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/3-21G*
ABC
0.25028 0.14824 0.11610

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.806 0.560
C2 0.000 -0.806 0.560
H3 0.000 1.385 1.483
H4 0.000 -1.385 1.483
C5 -1.298 0.674 -0.279
C6 1.298 0.674 -0.279
C7 1.298 -0.674 -0.279
C8 -1.298 -0.674 -0.279
H9 -1.926 1.421 -0.746
H10 1.926 1.421 -0.746
H11 1.926 -1.421 -0.746
H12 -1.926 -1.421 -0.746

Atom - Atom Distances (Å)
  C1 C2 H3 H4 C5 C6 C7 C8 H9 H10 H11 H12
C11.61281.08892.37751.55091.55092.14002.14002.40682.40683.22103.2210
C21.61282.37751.08892.14002.14001.55091.55093.22103.22102.40682.4068
H31.08892.37752.76962.30052.30053.00443.00442.94572.94574.06774.0677
H42.37751.08892.76963.00443.00442.30052.30054.06774.06772.94572.9457
C51.55092.14002.30053.00442.59522.92451.34821.08183.34193.87282.2362
C61.55092.14002.30053.00442.59521.34822.92453.34191.08182.23623.8728
C72.14001.55093.00442.30052.92451.34822.59523.87282.23621.08183.3419
C82.14001.55093.00442.30051.34822.92452.59522.23623.87283.34191.0818
H92.40683.22102.94574.06771.08183.34193.87282.23623.85244.78682.8412
H102.40683.22102.94574.06773.34191.08182.23623.87283.85242.84124.7868
H113.22102.40684.06772.94573.87282.23621.08183.34194.78682.84123.8524
H123.22102.40684.06772.94572.23623.87283.34191.08182.84124.78683.8524

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 122.084 C1 C2 H7 85.106
C1 C2 H8 85.106 C1 C5 H8 94.894
C1 C5 H9 131.354 C1 C6 H7 94.894
C1 C6 H10 131.354 C2 C1 C3 122.084
C2 C1 C5 85.106 C2 C1 C6 85.106
C2 H7 C6 94.894 C2 H7 H11 131.354
C2 H8 C5 94.894 C2 H8 H12 131.354
C3 C1 C5 120.245 C3 C1 C6 120.245
C4 C2 H7 120.245 C4 C2 H8 120.245
C5 C1 C6 113.582 C5 H8 H12 133.637
C6 H7 H11 133.637 H7 C6 H10 133.637
H8 C5 H9 133.637
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.325      
2 C -0.325      
3 H 0.213      
4 H 0.213      
5 C -0.138      
6 C -0.138      
7 C -0.138      
8 C -0.138      
9 H 0.194      
10 H 0.194      
11 H 0.194      
12 H 0.194      


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 -0.057 0.057
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 7.801 0.000 0.000
y 0.000 8.959 0.000
z 0.000 0.000 5.261


<r2> (average value of r2) Å2
<r2> 119.780
(<r2>)1/2 10.944