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

using model chemistry: HF/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at HF/6-31+G**
 hartrees
Energy at 0K-345.414286
Energy at 298.15K-345.422833
HF Energy-345.414286
Nuclear repulsion energy397.332375
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 HF/6-31+G**
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 3405 3079 0.00      
2 A1 3379 3055 0.00      
3 A1 1742 1575 0.00      
4 A1 1516 1371 0.00      
5 A1 1205 1090 0.00      
6 A1 1054 953 0.00      
7 A1 922 834 0.00      
8 A1 469 424 0.00      
9 A2 1070 968 0.00      
10 A2 821 742 0.00      
11 A2 564 510 0.00      
12 B1 1077 974 0.00      
13 B1 875 792 0.00      
14 B1 666 602 0.00      
15 B1 241 218 0.00      
16 B2 3403 3077 17.89      
17 B2 3378 3054 16.69      
18 B2 1729 1564 11.26      
19 B2 1523 1377 1.98      
20 B2 1297 1173 1.02      
21 B2 1138 1029 6.56      
22 B2 1040 940 13.83      
23 B2 881 797 8.95      
24 E 3398 3072 14.90      
24 E 3398 3072 14.90      
25 E 3368 3045 3.97      
25 E 3368 3045 3.97      
26 E 1796 1624 0.44      
26 E 1796 1624 0.44      
27 E 1426 1289 0.01      
27 E 1426 1289 0.01      
28 E 1251 1131 2.44      
28 E 1251 1131 2.44      
29 E 1187 1073 15.92      
29 E 1187 1073 15.92      
30 E 1081 977 0.02      
30 E 1081 977 0.02      
31 E 869 786 0.25      
31 E 869 786 0.25      
32 E 830 751 112.01      
32 E 830 751 112.01      
33 E 550 497 3.87      
33 E 550 497 3.87      
34 E 142 128 1.02      
34 E 142 128 1.02      

Unscaled Zero Point Vibrational Energy (zpe) 32592.8 cm-1
Scaled (by 0.9042) Zero Point Vibrational Energy (zpe) 29470.4 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 HF/6-31+G**
ABC
0.14118 0.04429 0.04429

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-31+G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.176 0.962
C3 0.000 -1.176 0.962
C4 1.176 0.000 -0.962
C5 -1.176 0.000 -0.962
C6 0.000 0.740 2.218
C7 0.000 -0.740 2.218
C8 0.740 0.000 -2.218
C9 -0.740 0.000 -2.218
H10 0.000 2.196 0.630
H11 0.000 -2.196 0.630
H12 2.196 0.000 -0.630
H13 -2.196 0.000 -0.630
H14 0.000 1.350 3.102
H15 0.000 -1.350 3.102
H16 1.350 0.000 -3.102
H17 -1.350 0.000 -3.102

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51921.51921.51921.51922.33782.33782.33782.33782.28492.28492.28492.28493.38283.38283.38283.3828
C21.51922.35142.54322.54321.32902.29023.47003.47001.07353.38842.95652.95652.14673.30994.44084.4408
C31.51922.35142.54322.54322.29021.32903.47003.47003.38841.07352.95652.95653.30992.14674.44084.4408
C41.51922.54322.54322.35143.47003.47001.32902.29022.95652.95651.07353.38844.44084.44082.14673.3099
C51.51922.54322.54322.35143.47003.47002.29021.32902.95652.95653.38841.07354.44084.44083.30992.1467
C62.33781.32902.29023.47003.47001.47944.55704.55702.15483.33803.67153.67151.07422.26895.53775.5377
C72.33782.29021.32903.47003.47001.47944.55704.55703.33802.15483.67153.67152.26891.07425.53775.5377
C82.33783.47003.47001.32902.29024.55704.55701.47943.67153.67152.15483.33805.53775.53771.07422.2689
C92.33783.47003.47002.29021.32904.55704.55701.47943.67153.67153.33802.15485.53775.53772.26891.0742
H102.28491.07353.38842.95652.95652.15483.33803.67153.67154.39283.35193.35192.61294.32274.53564.5356
H112.28493.38841.07352.95652.95653.33802.15483.67153.67154.39283.35193.35194.32272.61294.53564.5356
H122.28492.95652.95651.07353.38843.67153.67152.15483.33803.35193.35194.39284.53564.53562.61294.3227
H132.28492.95652.95653.38841.07353.67153.67153.33802.15483.35193.35194.39284.53564.53564.32272.6129
H143.38282.14673.30994.44084.44081.07422.26895.53775.53772.61294.32274.53564.53562.69966.49076.4907
H153.38283.30992.14674.44084.44082.26891.07425.53775.53774.32272.61294.53564.53562.69966.49076.4907
H163.38284.44084.44082.14673.30995.53775.53771.07422.26894.53564.53562.61294.32276.49076.49072.6996
H173.38284.44084.44083.30992.14675.53775.53772.26891.07424.53564.53564.32272.61296.49076.49072.6996

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 110.148 C1 C2 H10 122.667
C1 C3 C7 110.148 C1 C3 H11 122.667
C1 C4 C8 110.148 C1 C4 H12 122.667
C1 C5 C9 110.148 C1 C5 H13 122.667
C2 C1 C3 101.404 C2 C1 C4 113.649
C2 C1 C5 113.649 C2 C6 C7 109.150
C2 C6 H14 126.245 C3 C1 C4 113.649
C3 C1 C5 113.649 C3 C7 C6 109.150
C3 C7 H15 126.245 C4 C1 C5 101.404
C4 C8 C9 109.150 C4 C8 H16 126.245
C5 C9 C8 109.150 C5 C9 H17 126.245
C6 C2 H10 127.185 C6 C7 H15 124.605
C7 C3 H11 127.185 C7 C6 H14 124.605
C8 C4 H12 127.185 C8 C9 H17 124.605
C9 C5 H13 127.185 C9 C8 H16 124.605
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.597      
2 C -0.344      
3 C -0.344      
4 C -0.344      
5 C -0.344      
6 C -0.139      
7 C -0.139      
8 C -0.139      
9 C -0.139      
10 H 0.169      
11 H 0.169      
12 H 0.169      
13 H 0.169      
14 H 0.166      
15 H 0.166      
16 H 0.166      
17 H 0.166      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -54.125 0.000 0.000
y 0.000 -54.125 0.000
z 0.000 0.000 -47.713
Traceless
 xyz
x -3.206 0.000 0.000
y 0.000 -3.206 0.000
z 0.000 0.000 6.412
Polar
3z2-r212.824
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 11.299 0.000 0.000
y 0.000 11.299 0.000
z 0.000 0.000 18.945


<r2> (average value of r2) Å2
<r2> 285.684
(<r2>)1/2 16.902