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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: TPSSh/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 TPSSh/6-31G(2df,p)
 hartrees
Energy at 0K-232.172159
Energy at 298.15K-232.178560
HF Energy-232.172159
Nuclear repulsion energy214.218325
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/6-31G(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 3250 3137 11.05      
2 A1 3217 3105 14.52      
3 A1 3186 3075 0.76      
4 A1 1622 1566 4.77      
5 A1 1414 1365 0.39      
6 A1 1202 1160 1.58      
7 A1 1121 1082 1.32      
8 A1 988 953 0.25      
9 A1 918 886 0.01      
10 A1 772 745 2.07      
11 A1 694 669 5.21      
12 A2 1118 1079 0.00      
13 A2 913 881 0.00      
14 A2 892 860 0.00      
15 A2 793 765 0.00      
16 A2 542 523 0.00      
17 B1 3196 3085 18.81      
18 B1 1131 1091 20.14      
19 B1 1002 967 0.07      
20 B1 776 749 76.26      
21 B1 648 626 0.12      
22 B1 511 494 7.32      
23 B2 3223 3110 9.54      
24 B2 3188 3077 32.89      
25 B2 1340 1293 4.89      
26 B2 1267 1223 2.71      
27 B2 1214 1172 2.00      
28 B2 990 955 0.21      
29 B2 861 831 5.09      
30 B2 817 789 8.54      

Unscaled Zero Point Vibrational Energy (zpe) 21403.8 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 20654.7 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/6-31G(2df,p)
ABC
0.24817 0.17556 0.12979

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.724 0.000 -1.013
C2 -0.724 0.000 -1.013
C3 0.000 1.072 -0.201
C4 0.000 -1.072 -0.201
C5 0.000 0.669 1.252
C6 0.000 -0.669 1.252
H7 1.487 0.000 -1.779
H8 -1.487 0.000 -1.779
H9 0.000 2.102 -0.540
H10 0.000 -2.102 -0.540
H11 0.000 1.353 2.090
H12 0.000 -1.353 2.090

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44801.52671.52672.47012.47011.08132.33982.27282.27283.46103.4610
C21.44801.52671.52672.47012.47012.33981.08132.27282.27283.46103.4610
C31.52671.52672.14321.50852.26772.41832.41831.08443.19152.30823.3357
C41.52671.52672.14322.26771.50852.41832.41833.19151.08443.33572.3082
C52.47012.47011.50852.26771.33773.44203.44202.29473.29981.08122.1883
C62.47012.47012.26771.50851.33773.44203.44203.29982.29472.18831.0812
H71.08132.33982.41832.41833.44203.44202.97352.85732.85734.35984.3598
H82.33981.08132.41832.41833.44203.44202.97352.85732.85734.35984.3598
H92.27282.27281.08443.19152.29473.29982.85732.85734.20372.73404.3416
H102.27282.27283.19151.08443.29982.29472.85732.85734.20374.34162.7340
H113.46103.46102.30823.33571.08122.18834.35984.35982.73404.34162.7059
H123.46103.46103.33572.30822.18831.08124.35984.35984.34162.73402.7059

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.691 C1 C2 C4 61.691
C1 C2 H8 134.861 C1 C3 C2 56.618
C1 C3 C5 108.946 C1 C3 H9 120.065
C1 C4 C2 56.618 C1 C4 C6 108.946
C1 C4 H10 120.065 C2 C1 C3 61.691
C2 C1 C4 61.691 C2 C1 H7 134.861
C2 C3 C5 108.946 C2 C3 H9 120.065
C2 C4 C6 108.946 C2 C4 H10 120.065
C3 C1 C4 89.166 C3 C1 H7 135.331
C3 C2 C4 89.166 C3 C2 H8 135.331
C3 C5 C6 105.487 C3 C5 H11 125.261
C4 C1 H7 135.331 C4 C2 H8 135.331
C4 C6 C5 105.487 C4 C6 H12 125.261
C5 C3 H9 123.676 C5 C6 H12 129.252
C6 C4 H10 123.676 C6 C5 H11 129.252
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.110      
2 C -0.110      
3 C -0.143      
4 C -0.143      
5 C -0.108      
6 C -0.108      
7 H 0.130      
8 H 0.130      
9 H 0.109      
10 H 0.109      
11 H 0.122      
12 H 0.122      


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 -0.831 0.831
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 6.052 0.000 0.000
y 0.000 8.801 0.000
z 0.000 0.000 8.798


<r2> (average value of r2) Å2
<r2> 110.668
(<r2>)1/2 10.520