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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: wB97X-D/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 wB97X-D/6-311+G(3df,2p)
 hartrees
Energy at 0K-232.118330
Energy at 298.15K-232.124802
HF Energy-232.118330
Nuclear repulsion energy 
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 wB97X-D/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 3264 3264 5.21      
2 A1 3252 3252 6.80      
3 A1 3208 3208 1.84      
4 A1 1647 1647 8.94      
5 A1 1414 1414 0.19      
6 A1 1195 1195 4.28      
7 A1 1119 1119 2.89      
8 A1 990 990 0.15      
9 A1 921 921 0.37      
10 A1 783 783 5.03      
11 A1 711 711 3.87      
12 A2 1136 1136 0.00      
13 A2 954 954 0.00      
14 A2 911 911 0.00      
15 A2 795 795 0.00      
16 A2 549 549 0.00      
17 B1 3235 3235 8.39      
18 B1 1137 1137 27.14      
19 B1 1020 1020 0.04      
20 B1 778 778 103.39      
21 B1 661 661 0.73      
22 B1 518 518 11.84      
23 B2 3238 3238 5.37      
24 B2 3208 3208 22.37      
25 B2 1346 1346 6.89      
26 B2 1272 1272 2.63      
27 B2 1222 1222 2.12      
28 B2 990 990 0.27      
29 B2 864 864 5.04      
30 B2 825 825 11.72      

Unscaled Zero Point Vibrational Energy (zpe) 21580.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21580.9 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 wB97X-D/6-311+G(3df,2p)
ABC
0.25012 0.17735 0.13089

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.720 0.000 -1.006
C2 -0.720 0.000 -1.006
C3 0.000 1.070 -0.202
C4 0.000 -1.070 -0.202
C5 0.000 0.665 1.246
C6 0.000 -0.665 1.246
H7 1.474 0.000 -1.776
H8 -1.474 0.000 -1.776
H9 0.000 2.098 -0.537
H10 0.000 -2.098 -0.537
H11 0.000 1.342 2.085
H12 0.000 -1.342 2.085

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44021.51971.51972.45592.45591.07782.32572.26692.26693.44583.4458
C21.44021.51971.51972.45592.45592.32571.07782.26692.26693.44583.4458
C31.51971.51972.13991.50372.25952.40732.40731.08093.18522.30323.3238
C41.51971.51972.13992.25951.50372.40732.40733.18521.08093.32382.3032
C52.45592.45591.50372.25951.32913.42733.42732.28753.28761.07832.1747
C62.45592.45592.25951.50371.32913.42733.42733.28762.28752.17471.0783
H71.07782.32572.40732.40733.42733.42732.94902.84762.84764.34524.3452
H82.32571.07782.40732.40733.42733.42732.94902.84762.84764.34524.3452
H92.26692.26691.08093.18522.28753.28762.84762.84764.19532.72884.3249
H102.26692.26693.18521.08093.28762.28752.84762.84764.19534.32492.7288
H113.44583.44582.30323.32381.07832.17474.34524.34522.72884.32492.6836
H123.44583.44583.32382.30322.17471.07834.34524.34524.32492.72882.6836

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.717 C1 C2 C4 61.717
C1 C2 H8 134.422 C1 C3 C2 56.567
C1 C3 C5 108.638 C1 C3 H9 120.365
C1 C4 C2 56.567 C1 C4 C6 108.638
C1 C4 H10 120.365 C2 C1 C3 61.717
C2 C1 C4 61.717 C2 C1 H7 134.422
C2 C3 C5 108.638 C2 C3 H9 120.365
C2 C4 C6 108.638 C2 C4 H10 120.365
C3 C1 C4 89.503 C3 C1 H7 135.190
C3 C2 C4 89.503 C3 C2 H8 135.190
C3 C5 C6 105.641 C3 C5 H11 125.452
C4 C1 H7 135.190 C4 C2 H8 135.190
C4 C6 C5 105.641 C4 C6 H12 125.452
C5 C3 H9 123.688 C5 C6 H12 128.908
C6 C4 H10 123.688 C6 C5 H11 128.908
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.001      
2 C 0.001      
3 C -0.245      
4 C -0.245      
5 C -0.180      
6 C -0.180      
7 H 0.149      
8 H 0.149      
9 H 0.124      
10 H 0.124      
11 H 0.152      
12 H 0.152      


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 -0.980 0.980
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.562 0.000 0.000
y 0.000 -32.497 0.000
z 0.000 0.000 -33.281
Traceless
 xyz
x -4.672 0.000 0.000
y 0.000 2.924 0.000
z 0.000 0.000 1.748
Polar
3z2-r23.496
x2-y2-5.064
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.760 0.000 0.000
y 0.000 9.600 0.000
z 0.000 0.000 9.717


<r2> (average value of r2) Å2
<r2> 110.364
(<r2>)1/2 10.505