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

using model chemistry: LSDA/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at LSDA/3-21G
 hartrees
Energy at 0K-343.794492
Energy at 298.15K-343.802179
HF Energy-343.794492
Nuclear repulsion energy396.682374
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 LSDA/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 3207 3154 0.00      
2 A1 3174 3122 0.00      
3 A1 1539 1514 0.00      
4 A1 1349 1327 0.00      
5 A1 1088 1071 0.00      
6 A1 996 979 0.00      
7 A1 872 857 0.00      
8 A1 443 436 0.00      
9 A2 929 914 0.00      
10 A2 706 694 0.00      
11 A2 523 514 0.00      
12 B1 934 919 0.00      
13 B1 751 738 0.00      
14 B1 622 612 0.00      
15 B1 223 220 0.00      
16 B2 3205 3153 8.31      
17 B2 3173 3121 0.79      
18 B2 1516 1491 7.66      
19 B2 1350 1328 0.02      
20 B2 1205 1185 13.81      
21 B2 1053 1035 16.49      
22 B2 968 952 25.28      
23 B2 842 828 12.76      
24 E 3198 3146 0.49      
24 E 3198 3146 0.49      
25 E 3162 3110 4.67      
25 E 3162 3110 4.67      
26 E 1598 1572 1.96      
26 E 1598 1572 1.96      
27 E 1279 1258 2.89      
27 E 1279 1258 2.89      
28 E 1125 1106 0.31      
28 E 1125 1106 0.31      
29 E 1062 1045 12.81      
29 E 1062 1045 12.81      
30 E 927 912 0.50      
30 E 927 912 0.50      
31 E 835 821 0.99      
31 E 835 821 0.99      
32 E 732 720 93.53      
32 E 732 720 93.53      
33 E 511 503 2.76      
33 E 511 503 2.76      
34 E 68 67 1.31      
34 E 68 67 1.31      

Unscaled Zero Point Vibrational Energy (zpe) 29829.1 cm-1
Scaled (by 0.9836) Zero Point Vibrational Energy (zpe) 29340.0 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 LSDA/3-21G
ABC
0.14051 0.04451 0.04451

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.182 0.942
C3 0.000 -1.182 0.942
C4 1.182 0.000 -0.942
C5 -1.182 0.000 -0.942
C6 0.000 0.734 2.216
C7 0.000 -0.734 2.216
C8 0.734 0.000 -2.216
C9 -0.734 0.000 -2.216
H10 0.000 2.210 0.581
H11 0.000 -2.210 0.581
H12 2.210 0.000 -0.581
H13 -2.210 0.000 -0.581
H14 0.000 1.351 3.116
H15 0.000 -1.351 3.116
H16 1.351 0.000 -3.116
H17 -1.351 0.000 -3.116

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51161.51161.51161.51162.33422.33422.33422.33422.28462.28462.28462.28463.39593.39593.39593.3959
C21.51162.36402.51892.51891.34992.30083.45093.45091.08933.41072.93232.93232.18023.33744.43724.4372
C31.51162.36402.51892.51892.30081.34993.45093.45093.41071.08932.93232.93233.33742.18024.43724.4372
C41.51162.51892.51892.36403.45093.45091.34992.30082.93232.93231.08933.41074.43724.43722.18023.3374
C51.51162.51892.51892.36403.45093.45092.30081.34992.93232.93233.41071.08934.43724.43723.33742.1802
C62.33421.34992.30083.45093.45091.46864.55144.55142.20223.36743.63883.63881.09092.27095.54875.5487
C72.33422.30081.34993.45093.45091.46864.55144.55143.36742.20223.63883.63882.27091.09095.54875.5487
C82.33423.45093.45091.34992.30084.55144.55141.46863.63883.63882.20223.36745.54875.54871.09092.2709
C92.33423.45093.45092.30081.34994.55144.55141.46863.63883.63883.36742.20225.54875.54872.27091.0909
H102.28461.08933.41072.93232.93232.20223.36743.63883.63884.41913.33363.33362.67684.37054.51334.5133
H112.28463.41071.08932.93232.93233.36742.20223.63883.63884.41913.33363.33364.37052.67684.51334.5133
H122.28462.93232.93231.08933.41073.63883.63882.20223.36743.33363.33364.41914.51334.51332.67684.3705
H132.28462.93232.93233.41071.08933.63883.63883.36742.20223.33363.33364.41914.51334.51334.37052.6768
H143.39592.18023.33744.43724.43721.09092.27095.54875.54872.67684.37054.51334.51332.70106.51786.5178
H153.39593.33742.18024.43724.43722.27091.09095.54875.54874.37052.67684.51334.51332.70106.51786.5178
H163.39594.43724.43722.18023.33745.54875.54871.09092.27094.51334.51332.67684.37056.51786.51782.7010
H173.39594.43724.43723.33742.18025.54875.54872.27091.09094.51334.51334.37052.67686.51786.51782.7010

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 109.191 C1 C2 H10 122.056
C1 C3 C7 109.191 C1 C3 H11 122.056
C1 C4 C8 109.191 C1 C4 H12 122.056
C1 C5 C9 109.191 C1 C5 H13 122.056
C2 C1 C3 102.881 C2 C1 C4 112.864
C2 C1 C5 112.864 C2 C6 C7 109.368
C2 C6 H14 126.239 C3 C1 C4 112.864
C3 C1 C5 112.864 C3 C7 C6 109.368
C3 C7 H15 126.239 C4 C1 C5 102.881
C4 C8 C9 109.368 C4 C8 H16 126.239
C5 C9 C8 109.368 C5 C9 H17 126.239
C6 C2 H10 128.753 C6 C7 H15 124.392
C7 C3 H11 128.753 C7 C6 H14 124.392
C8 C4 H12 128.753 C8 C9 H17 124.392
C9 C5 H13 128.753 C9 C8 H16 124.392
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.410      
2 C -0.098      
3 C -0.098      
4 C -0.098      
5 C -0.098      
6 C -0.215      
7 C -0.215      
8 C -0.215      
9 C -0.215      
10 H 0.214      
11 H 0.214      
12 H 0.214      
13 H 0.214      
14 H 0.202      
15 H 0.202      
16 H 0.202      
17 H 0.202      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.883 0.000 0.000
y 0.000 -51.883 0.000
z 0.000 0.000 -46.687
Traceless
 xyz
x -2.598 0.000 0.000
y 0.000 -2.598 0.000
z 0.000 0.000 5.197
Polar
3z2-r210.394
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 8.701 0.000 0.000
y 0.000 8.701 0.000
z 0.000 0.000 17.425


<r2> (average value of r2) Å2
<r2> 283.926
(<r2>)1/2 16.850