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All results from a given calculation for C9H8 (spiro[4.4]nona-1,3,6,8-tetraene)

using model chemistry: B3LYP/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at B3LYP/STO-3G
 hartrees
Energy at 0K-343.436509
Energy at 298.15K-343.443984
HF Energy-343.436509
Nuclear repulsion energy390.393222
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 B3LYP/STO-3G
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 3505 3128 0.00      
2 A1 3471 3098 0.00      
3 A1 1687 1505 0.00      
4 A1 1483 1324 0.00      
5 A1 1173 1047 0.00      
6 A1 1054 940 0.00      
7 A1 900 804 0.00      
8 A1 453 405 0.00      
9 A2 998 890 0.00      
10 A2 779 695 0.00      
11 A2 546 487 0.00      
12 B1 1001 893 0.00      
13 B1 814 727 0.00      
14 B1 637 568 0.00      
15 B1 222 198 0.00      
16 B2 3506 3129 0.00      
17 B2 3471 3098 45.50      
18 B2 1680 1500 11.62      
19 B2 1491 1331 0.03      
20 B2 1266 1130 12.64      
21 B2 1122 1001 7.13      
22 B2 1034 923 0.37      
23 B2 863 770 6.83      
24 E 3496 3120 5.42      
24 E 3496 3120 5.42      
25 E 3461 3089 7.51      
25 E 3461 3089 7.51      
26 E 1769 1579 2.71      
26 E 1769 1579 2.71      
27 E 1382 1233 1.02      
27 E 1382 1233 1.02      
28 E 1214 1083 0.11      
28 E 1214 1083 0.11      
29 E 1151 1027 0.97      
29 E 1151 1027 0.97      
30 E 1008 899 0.04      
30 E 1008 899 0.04      
31 E 850 759 0.23      
31 E 850 759 0.23      
32 E 788 703 32.59      
32 E 788 703 32.59      
33 E 524 467 0.71      
33 E 524 467 0.71      
34 E 123 110 0.70      
34 E 123 110 0.70      

Unscaled Zero Point Vibrational Energy (zpe) 32344.1 cm-1
Scaled (by 0.8924) Zero Point Vibrational Energy (zpe) 28863.9 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 B3LYP/STO-3G
ABC
0.13658 0.04273 0.04273

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/STO-3G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.199 0.983
C3 0.000 -1.199 0.983
C4 1.199 0.000 -0.983
C5 -1.199 0.000 -0.983
C6 0.000 0.747 2.256
C7 0.000 -0.747 2.256
C8 0.747 0.000 -2.256
C9 -0.747 0.000 -2.256
H10 0.000 2.239 0.637
H11 0.000 -2.239 0.637
H12 2.239 0.000 -0.637
H13 -2.239 0.000 -0.637
H14 0.000 1.359 3.167
H15 0.000 -1.359 3.167
H16 1.359 0.000 -3.167
H17 -1.359 0.000 -3.167

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.55021.55021.55021.55022.37692.37692.37692.37692.32762.32762.32762.32763.44633.44633.44633.4463
C21.55022.39752.59582.59581.35112.32563.53383.53381.09603.45483.01223.01222.19003.36344.52834.5283
C31.55022.39752.59582.59582.32561.35113.53383.53383.45481.09603.01223.01223.36342.19004.52834.5283
C41.55022.59582.59582.39753.53383.53381.35112.32563.01223.01221.09603.45484.52834.52832.19003.3634
C51.55022.59582.59582.39753.53383.53382.32561.35113.01223.01223.45481.09604.52834.52833.36342.1900
C62.37691.35112.32563.53383.53381.49444.63484.63482.20163.39683.73393.73391.09712.29465.64075.6407
C72.37692.32561.35113.53383.53381.49444.63484.63483.39682.20163.73393.73392.29461.09715.64075.6407
C82.37693.53383.53381.35112.32564.63484.63481.49443.73393.73392.20163.39685.64075.64071.09712.2946
C92.37693.53383.53382.32561.35114.63484.63481.49443.73393.73393.39682.20165.64075.64072.29461.0971
H102.32761.09603.45483.01223.01222.20163.39683.73393.73394.47753.41283.41282.67864.39824.61844.6184
H112.32763.45481.09603.01223.01223.39682.20163.73393.73394.47753.41283.41284.39822.67864.61844.6184
H122.32763.01223.01221.09603.45483.73393.73392.20163.39683.41283.41284.47754.61844.61842.67864.3982
H132.32763.01223.01223.45481.09603.73393.73393.39682.20163.41283.41284.47754.61844.61844.39822.6786
H143.44632.19003.36344.52834.52831.09712.29465.64075.64072.67864.39824.61844.61842.71806.61926.6192
H153.44633.36342.19004.52834.52832.29461.09715.64075.64074.39822.67864.61844.61842.71806.61926.6192
H163.44634.52834.52832.19003.36345.64075.64071.09712.29464.61844.61842.67864.39826.61926.61922.7180
H173.44634.52834.52833.36342.19005.64075.64072.29461.09714.61844.61844.39822.67866.61926.61922.7180

picture of spiro[4.4]nona-1,3,6,8-tetraene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C6 109.827 C1 C2 H10 122.256
C1 C3 C7 109.827 C1 C3 H11 122.256
C1 C4 C8 109.827 C1 C4 H12 122.256
C1 C5 C9 109.827 C1 C5 H13 122.256
C2 C1 C3 101.300 C2 C1 C4 113.705
C2 C1 C5 113.705 C2 C6 C7 109.523
C2 C6 H14 126.584 C3 C1 C4 113.705
C3 C1 C5 113.705 C3 C7 C6 109.523
C3 C7 H15 126.584 C4 C1 C5 101.300
C4 C8 C9 109.523 C4 C8 H16 126.584
C5 C9 C8 109.523 C5 C9 H17 126.584
C6 C2 H10 127.917 C6 C7 H15 123.893
C7 C3 H11 127.917 C7 C6 H14 123.893
C8 C4 H12 127.917 C8 C9 H17 123.893
C9 C5 H13 127.917 C9 C8 H16 123.893
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.002      
2 C -0.074      
3 C -0.074      
4 C -0.074      
5 C -0.074      
6 C -0.087      
7 C -0.087      
8 C -0.087      
9 C -0.087      
10 H 0.082      
11 H 0.082      
12 H 0.082      
13 H 0.082      
14 H 0.079      
15 H 0.079      
16 H 0.079      
17 H 0.079      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.175 0.000 0.000
y 0.000 -48.175 0.000
z 0.000 0.000 -45.647
Traceless
 xyz
x -1.264 0.000 0.000
y 0.000 -1.264 0.000
z 0.000 0.000 2.528
Polar
3z2-r25.056
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.404 0.000 0.000
y 0.000 5.404 0.000
z 0.000 0.000 12.117


<r2> (average value of r2) Å2
<r2> 292.001
(<r2>)1/2 17.088