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

using model chemistry: B3PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at B3PW91/6-311G**
 hartrees
Energy at 0K-347.636057
Energy at 298.15K-347.644009
HF Energy-347.636057
Nuclear repulsion energy396.922936
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 B3PW91/6-311G**
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 3241 3122 0.00      
2 A1 3212 3093 0.00      
3 A1 1583 1525 0.00      
4 A1 1387 1336 0.00      
5 A1 1103 1062 0.00      
6 A1 1012 974 0.00      
7 A1 871 839 0.00      
8 A1 442 425 0.00      
9 A2 952 917 0.00      
10 A2 724 698 0.00      
11 A2 526 507 0.00      
12 B1 957 922 0.00      
13 B1 774 746 0.00      
14 B1 622 599 0.00      
15 B1 221 213 0.00      
16 B2 3239 3120 12.10      
17 B2 3211 3093 16.36      
18 B2 1563 1505 9.71      
19 B2 1390 1338 0.30      
20 B2 1204 1160 6.89      
21 B2 1056 1017 10.17      
22 B2 991 954 23.83      
23 B2 829 799 9.51      
24 E 3235 3116 9.16      
24 E 3235 3116 9.16      
25 E 3200 3082 5.86      
25 E 3200 3082 5.86      
26 E 1644 1583 0.05      
26 E 1644 1583 0.05      
27 E 1293 1246 0.88      
27 E 1293 1246 0.88      
28 E 1147 1104 0.13      
28 E 1147 1104 0.13      
29 E 1085 1045 13.16      
29 E 1085 1045 13.16      
30 E 958 922 0.00      
30 E 958 922 0.00      
31 E 817 787 1.56      
31 E 817 787 1.56      
32 E 758 730 83.88      
32 E 758 730 83.88      
33 E 517 498 2.31      
33 E 517 498 2.31      
34 E 112 108 0.92      
34 E 112 108 0.92      

Unscaled Zero Point Vibrational Energy (zpe) 30319.0 cm-1
Scaled (by 0.9631) Zero Point Vibrational Energy (zpe) 29200.2 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 B3PW91/6-311G**
ABC
0.14127 0.04432 0.04432

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.178 0.953
C3 0.000 -1.178 0.953
C4 1.178 0.000 -0.953
C5 -1.178 0.000 -0.953
C6 0.000 0.734 2.220
C7 0.000 -0.734 2.220
C8 0.734 0.000 -2.220
C9 -0.734 0.000 -2.220
H10 0.000 2.204 0.610
H11 0.000 -2.204 0.610
H12 2.204 0.000 -0.610
H13 -2.204 0.000 -0.610
H14 0.000 1.351 3.111
H15 0.000 -1.351 3.111
H16 1.351 0.000 -3.111
H17 -1.351 0.000 -3.111

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51491.51491.51491.51492.33822.33822.33822.33822.28652.28652.28652.28653.39143.39143.39143.3914
C21.51492.35502.53112.53111.34242.29313.46323.46321.08183.39842.94722.94722.16473.32384.44144.4414
C31.51492.35502.53112.53112.29311.34243.46323.46323.39841.08182.94722.94723.32382.16474.44144.4414
C41.51492.53112.53112.35503.46323.46321.34242.29312.94722.94721.08183.39844.44144.44142.16473.3238
C51.51492.53112.53112.35503.46323.46322.29311.34242.94722.94723.39841.08184.44144.44143.32382.1647
C62.33821.34242.29313.46323.46321.46764.55984.55982.17993.34963.66123.66121.08352.26685.54805.5480
C72.33822.29311.34243.46323.46321.46764.55984.55983.34962.17993.66123.66122.26681.08355.54805.5480
C82.33823.46323.46321.34242.29314.55984.55981.46763.66123.66122.17993.34965.54805.54801.08352.2668
C92.33823.46323.46322.29311.34244.55984.55981.46763.66123.66123.34962.17995.54805.54802.26681.0835
H102.28651.08183.39842.94722.94722.17993.34963.66123.66124.40713.34673.34672.64204.34584.53064.5306
H112.28653.39841.08182.94722.94723.34962.17993.66123.66124.40713.34673.34674.34582.64204.53064.5306
H122.28652.94722.94721.08183.39843.66123.66122.17993.34963.34673.34674.40714.53064.53062.64204.3458
H132.28652.94722.94723.39841.08183.66123.66123.34962.17993.34673.34674.40714.53064.53064.34582.6420
H143.39142.16473.32384.44144.44141.08352.26685.54805.54802.64204.34584.53064.53062.70146.50826.5082
H153.39143.32382.16474.44144.44142.26681.08355.54805.54804.34582.64204.53064.53062.70146.50826.5082
H163.39144.44144.44142.16473.32385.54805.54801.08352.26684.53064.53062.64204.34586.50826.50822.7014
H173.39144.44144.44143.32382.16475.54805.54802.26681.08354.53064.53064.34582.64206.50826.50822.7014

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 109.686 C1 C2 H10 122.534
C1 C3 C7 109.686 C1 C3 H11 122.534
C1 C4 C8 109.686 C1 C4 H12 122.534
C1 C5 C9 109.686 C1 C5 H13 122.534
C2 C1 C3 102.026 C2 C1 C4 113.317
C2 C1 C5 113.317 C2 C6 C7 109.301
C2 C6 H14 125.994 C3 C1 C4 113.317
C3 C1 C5 113.317 C3 C7 C6 109.301
C3 C7 H15 125.994 C4 C1 C5 102.026
C4 C8 C9 109.301 C4 C8 H16 125.994
C5 C9 C8 109.301 C5 C9 H17 125.994
C6 C2 H10 127.779 C6 C7 H15 124.705
C7 C3 H11 127.779 C7 C6 H14 124.705
C8 C4 H12 127.779 C8 C9 H17 124.705
C9 C5 H13 127.779 C9 C8 H16 124.705
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.416      
2 C -0.011      
3 C -0.011      
4 C -0.011      
5 C -0.011      
6 C -0.100      
7 C -0.100      
8 C -0.100      
9 C -0.100      
10 H 0.110      
11 H 0.110      
12 H 0.110      
13 H 0.110      
14 H 0.104      
15 H 0.104      
16 H 0.104      
17 H 0.104      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.234 0.000 0.000
y 0.000 -52.234 0.000
z 0.000 0.000 -47.163
Traceless
 xyz
x -2.535 0.000 0.000
y 0.000 -2.535 0.000
z 0.000 0.000 5.071
Polar
3z2-r210.141
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 10.416 0.000 0.000
y 0.000 10.416 0.000
z 0.000 0.000 18.878


<r2> (average value of r2) Å2
<r2> 284.774
(<r2>)1/2 16.875