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All results from a given calculation for C6H6 (Benzvalene)

using model chemistry: M06-2X/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 M06-2X/6-311G**
 hartrees
Energy at 0K-232.084506
Energy at 298.15K-232.090971
HF Energy-232.084506
Nuclear repulsion energy214.885230
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 M06-2X/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 3265 3265 3.64      
2 A1 3231 3231 2.38      
3 A1 3210 3210 0.83      
4 A1 1647 1647 4.56      
5 A1 1441 1441 0.09      
6 A1 1212 1212 3.11      
7 A1 1120 1120 2.40      
8 A1 994 994 0.29      
9 A1 934 934 0.08      
10 A1 776 776 1.20      
11 A1 682 682 7.77      
12 A2 1118 1118 0.00      
13 A2 938 938 0.00      
14 A2 902 902 0.00      
15 A2 828 828 0.00      
16 A2 549 549 0.00      
17 B1 3213 3213 3.45      
18 B1 1138 1138 24.19      
19 B1 997 997 0.21      
20 B1 791 791 105.70      
21 B1 661 661 2.48      
22 B1 513 513 13.71      
23 B2 3240 3240 1.80      
24 B2 3213 3213 15.89      
25 B2 1345 1345 6.19      
26 B2 1286 1286 4.29      
27 B2 1224 1224 1.08      
28 B2 991 991 0.15      
29 B2 864 864 6.34      
30 B2 830 830 11.71      

Unscaled Zero Point Vibrational Energy (zpe) 21575.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21575.3 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 M06-2X/6-311G**
ABC
0.24983 0.17667 0.13057

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.722 0.000 -1.005
C2 -0.722 0.000 -1.005
C3 0.000 1.069 -0.205
C4 0.000 -1.069 -0.205
C5 0.000 0.666 1.250
C6 0.000 -0.666 1.250
H7 1.474 0.000 -1.779
H8 -1.474 0.000 -1.779
H9 0.000 2.097 -0.545
H10 0.000 -2.097 -0.545
H11 0.000 1.344 2.089
H12 0.000 -1.344 2.089

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.44431.51831.51832.45972.45971.07902.32852.26482.26483.45053.4505
C21.44431.51831.51832.45972.45972.32851.07902.26482.26483.45053.4505
C31.51831.51832.13871.50972.26432.40722.40721.08203.18412.31093.3302
C41.51831.51832.13872.26431.50972.40722.40723.18411.08203.33022.3109
C52.45972.45971.50972.26431.33143.43383.43382.29513.29401.07962.1784
C62.45972.45972.26431.50971.33143.43383.43383.29402.29512.17841.0796
H71.07902.32852.40722.40723.43383.43382.94782.84482.84484.35284.3528
H82.32851.07902.40722.40723.43383.43382.94782.84482.84484.35284.3528
H92.26482.26481.08203.18412.29513.29402.84482.84484.19332.73944.3334
H102.26482.26483.18411.08203.29402.29512.84482.84484.19334.33342.7394
H113.45053.45052.31093.33021.07962.17844.35284.35282.73944.33342.6886
H123.45053.45053.33022.31092.17841.07964.35284.35284.33342.73942.6886

picture of Benzvalene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 61.601 C1 C2 C4 61.601
C1 C2 H8 134.162 C1 C3 C2 56.798
C1 C3 C5 108.639 C1 C3 H9 120.212
C1 C4 C2 56.798 C1 C4 C6 108.639
C1 C4 H10 120.212 C2 C1 C3 61.601
C2 C1 C4 61.601 C2 C1 H7 134.162
C2 C3 C5 108.639 C2 C3 H9 120.212
C2 C4 C6 108.639 C2 C4 H10 120.212
C3 C1 C4 89.542 C3 C1 H7 135.190
C3 C2 C4 89.542 C3 C2 H8 135.190
C3 C5 C6 105.506 C3 C5 H11 125.549
C4 C1 H7 135.190 C4 C2 H8 135.190
C4 C6 C5 105.506 C4 C6 H12 125.549
C5 C3 H9 123.802 C5 C6 H12 128.945
C6 C4 H10 123.802 C6 C5 H11 128.945
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.102      
2 C -0.102      
3 C -0.216      
4 C -0.216      
5 C -0.073      
6 C -0.073      
7 H 0.126      
8 H 0.126      
9 H 0.141      
10 H 0.141      
11 H 0.123      
12 H 0.123      


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 -0.918 0.918
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.765 0.000 0.000
y 0.000 -32.562 0.000
z 0.000 0.000 -32.933
Traceless
 xyz
x -5.017 0.000 0.000
y 0.000 2.787 0.000
z 0.000 0.000 2.230
Polar
3z2-r24.460
x2-y2-5.203
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.353 0.000 0.000
y 0.000 8.929 0.000
z 0.000 0.000 8.826


<r2> (average value of r2) Å2
<r2> 110.579
(<r2>)1/2 10.516