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

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-345.648875
Energy at 298.15K-345.656824
HF Energy-345.648875
Nuclear repulsion energy395.022433
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 B3PW91/3-21G
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 3282 3154 0.00      
2 A1 3248 3122 0.00      
3 A1 1568 1507 0.00      
4 A1 1389 1336 0.00      
5 A1 1134 1090 0.00      
6 A1 986 948 0.00      
7 A1 875 841 0.00      
8 A1 445 428 0.00      
9 A2 971 934 0.00      
10 A2 743 715 0.00      
11 A2 532 512 0.00      
12 B1 977 939 0.00      
13 B1 789 759 0.00      
14 B1 633 609 0.00      
15 B1 231 222 0.00      
16 B2 3280 3153 13.27      
17 B2 3247 3121 7.71      
18 B2 1546 1486 8.82      
19 B2 1388 1334 0.07      
20 B2 1220 1173 6.57      
21 B2 1077 1035 18.08      
22 B2 966 929 16.15      
23 B2 850 817 13.92      
24 E 3273 3146 5.74      
24 E 3273 3146 5.74      
25 E 3236 3110 5.76      
25 E 3236 3110 5.76      
26 E 1631 1568 1.05      
26 E 1631 1568 1.05      
27 E 1323 1272 1.94      
27 E 1323 1272 1.94      
28 E 1155 1110 0.49      
28 E 1155 1110 0.49      
29 E 1083 1041 12.79      
29 E 1083 1041 12.79      
30 E 974 936 0.17      
30 E 974 936 0.17      
31 E 846 813 0.13      
31 E 846 813 0.13      
32 E 763 734 97.49      
32 E 763 734 97.49      
33 E 517 497 2.74      
33 E 517 497 2.74      
34 E 93 89 1.29      
34 E 93 89 1.29      

Unscaled Zero Point Vibrational Energy (zpe) 30583.2 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 29396.5 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 B3PW91/3-21G
ABC
0.13924 0.04398 0.04398

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.188 0.956
C3 0.000 -1.188 0.956
C4 1.188 0.000 -0.956
C5 -1.188 0.000 -0.956
C6 0.000 0.741 2.228
C7 0.000 -0.741 2.228
C8 0.741 0.000 -2.228
C9 -0.741 0.000 -2.228
H10 0.000 2.209 0.603
H11 0.000 -2.209 0.603
H12 2.209 0.000 -0.603
H13 -2.209 0.000 -0.603
H14 0.000 1.350 3.122
H15 0.000 -1.350 3.122
H16 1.350 0.000 -3.122
H17 -1.350 0.000 -3.122

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52441.52441.52441.52442.34762.34762.34762.34762.29012.29012.29012.29013.40133.40133.40133.4013
C21.52442.37552.54432.54431.34842.31023.47733.47731.08053.41522.95322.95322.17263.33654.45644.4564
C31.52442.37552.54432.54432.31021.34843.47733.47733.41521.08052.95322.95323.33652.17264.45644.4564
C41.52442.54432.54432.37553.47733.47731.34842.31022.95322.95321.08053.41524.45644.45642.17263.3365
C51.52442.54432.54432.37553.47733.47732.31021.34842.95322.95323.41521.08054.45644.45643.33652.1726
C62.34761.34842.31023.47733.47731.48144.57684.57682.18983.36763.66653.66651.08212.27375.56695.5669
C72.34762.31021.34843.47733.47731.48144.57684.57683.36762.18983.66653.66652.27371.08215.56695.5669
C82.34763.47733.47731.34842.31024.57684.57681.48143.66653.66652.18983.36765.56695.56691.08212.2737
C92.34763.47733.47732.31021.34844.57684.57681.48143.66653.66653.36762.18985.56695.56692.27371.0821
H102.29011.08053.41522.95322.95322.18983.36763.66653.66654.41853.34923.34922.66144.36014.53664.5366
H112.29013.41521.08052.95322.95323.36762.18983.66653.66654.41853.34923.34924.36012.66144.53664.5366
H122.29012.95322.95321.08053.41523.66653.66652.18983.36763.34923.34924.41854.53664.53662.66144.3601
H132.29012.95322.95323.41521.08053.66653.66653.36762.18983.34923.34924.41854.53664.53664.36012.6614
H143.40132.17263.33654.45644.45641.08212.27375.56695.56692.66144.36014.53664.53662.69936.52946.5294
H153.40133.33652.17264.45644.45642.27371.08215.56695.56694.36012.66144.53664.53662.69936.52946.5294
H163.40134.45644.45642.17263.33655.56695.56691.08212.27374.53664.53662.66144.36016.52946.52942.6993
H173.40134.45644.45643.33652.17265.56695.56692.27371.08214.53664.53664.36012.66146.52946.52942.6993

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 109.454 C1 C2 H10 122.159
C1 C3 C7 109.454 C1 C3 H11 122.159
C1 C4 C8 109.454 C1 C4 H12 122.159
C1 C5 C9 109.454 C1 C5 H13 122.159
C2 C1 C3 102.368 C2 C1 C4 113.135
C2 C1 C5 113.135 C2 C6 C7 109.362
C2 C6 H14 126.391 C3 C1 C4 113.135
C3 C1 C5 113.135 C3 C7 C6 109.362
C3 C7 H15 126.391 C4 C1 C5 102.368
C4 C8 C9 109.362 C4 C8 H16 126.391
C5 C9 C8 109.362 C5 C9 H17 126.391
C6 C2 H10 128.387 C6 C7 H15 124.247
C7 C3 H11 128.387 C7 C6 H14 124.247
C8 C4 H12 128.387 C8 C9 H17 124.247
C9 C5 H13 128.387 C9 C8 H16 124.247
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.397      
2 C -0.110      
3 C -0.110      
4 C -0.110      
5 C -0.110      
6 C -0.225      
7 C -0.225      
8 C -0.225      
9 C -0.225      
10 H 0.223      
11 H 0.223      
12 H 0.223      
13 H 0.223      
14 H 0.212      
15 H 0.212      
16 H 0.212      
17 H 0.212      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.041 0.000 0.000
y 0.000 -52.041 0.000
z 0.000 0.000 -46.665
Traceless
 xyz
x -2.688 0.000 0.000
y 0.000 -2.688 0.000
z 0.000 0.000 5.376
Polar
3z2-r210.752
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 8.506 0.000 0.000
y 0.000 8.506 0.000
z 0.000 0.000 17.278


<r2> (average value of r2) Å2
<r2> 286.674
(<r2>)1/2 16.931