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

using model chemistry: PBE1PBE/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 PBE1PBE/6-311G*
 hartrees
Energy at 0K-347.334099
Energy at 298.15K-347.342033
HF Energy-347.334099
Nuclear repulsion energy397.475937
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 PBE1PBE/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 3257 3122 0.00      
2 A1 3228 3094 0.00      
3 A1 1602 1536 0.00      
4 A1 1402 1343 0.00      
5 A1 1109 1063 0.00      
6 A1 1021 979 0.00      
7 A1 879 842 0.00      
8 A1 445 426 0.00      
9 A2 943 904 0.00      
10 A2 721 691 0.00      
11 A2 527 505 0.00      
12 B1 949 909 0.00      
13 B1 772 740 0.00      
14 B1 626 600 0.00      
15 B1 221 212 0.00      
16 B2 3255 3120 14.51      
17 B2 3227 3093 24.57      
18 B2 1583 1517 9.41      
19 B2 1406 1348 0.23      
20 B2 1217 1167 7.06      
21 B2 1064 1020 10.61      
22 B2 1000 958 23.63      
23 B2 834 800 8.46      
24 E 3251 3116 13.71      
24 E 3251 3116 13.71      
25 E 3215 3082 6.34      
25 E 3215 3082 6.34      
26 E 1662 1593 0.10      
26 E 1662 1593 0.10      
27 E 1305 1251 0.82      
27 E 1305 1251 0.82      
28 E 1161 1112 0.26      
28 E 1161 1112 0.26      
29 E 1094 1049 12.94      
29 E 1094 1049 12.94      
30 E 952 912 0.00      
30 E 952 912 0.00      
31 E 821 787 2.13      
31 E 821 787 2.13      
32 E 759 727 88.47      
32 E 759 727 88.47      
33 E 520 498 2.66      
33 E 520 498 2.66      
34 E 109 104 1.03      
34 E 109 104 1.03      

Unscaled Zero Point Vibrational Energy (zpe) 30491.1 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 29225.7 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 PBE1PBE/6-311G*
ABC
0.14163 0.04448 0.04448

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 1.175 0.950
C3 0.000 -1.175 0.950
C4 1.175 0.000 -0.950
C5 -1.175 0.000 -0.950
C6 0.000 0.733 2.216
C7 0.000 -0.733 2.216
C8 0.733 0.000 -2.216
C9 -0.733 0.000 -2.216
H10 0.000 2.202 0.605
H11 0.000 -2.202 0.605
H12 2.202 0.000 -0.605
H13 -2.202 0.000 -0.605
H14 0.000 1.352 3.107
H15 0.000 -1.352 3.107
H16 1.352 0.000 -3.107
H17 -1.352 0.000 -3.107

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51141.51141.51141.51142.33452.33452.33452.33452.28322.28322.28322.28323.38833.38833.38833.3883
C21.51142.35082.52472.52471.34122.29053.45623.45621.08263.39452.94062.94062.16423.32244.43504.4350
C31.51142.35082.52472.52472.29051.34123.45623.45623.39451.08262.94062.94063.32242.16424.43504.4350
C41.51142.52472.52472.35083.45623.45621.34122.29052.94062.94061.08263.39454.43504.43502.16423.3224
C51.51142.52472.52472.35083.45623.45622.29051.34122.94062.94063.39451.08264.43504.43503.32242.1642
C62.33451.34122.29053.45623.45621.46664.55234.55232.17993.34803.65313.65311.08432.26725.54105.5410
C72.33452.29051.34123.45623.45621.46664.55234.55233.34802.17993.65313.65312.26721.08435.54105.5410
C82.33453.45623.45621.34122.29054.55234.55231.46663.65313.65312.17993.34805.54105.54101.08432.2672
C92.33453.45623.45622.29051.34124.55234.55231.46663.65313.65313.34802.17995.54105.54102.26721.0843
H102.28321.08263.39452.94062.94062.17993.34803.65313.65314.40313.34053.34052.64244.34564.52264.5226
H112.28323.39451.08262.94062.94063.34802.17993.65313.65314.40313.34053.34054.34562.64244.52264.5226
H122.28322.94062.94061.08263.39453.65313.65312.17993.34803.34053.34054.40314.52264.52262.64244.3456
H132.28322.94062.94063.39451.08263.65313.65313.34802.17993.34053.34054.40314.52264.52264.34562.6424
H143.38832.16423.32244.43504.43501.08432.26725.54105.54102.64244.34564.52264.52262.70326.50156.5015
H153.38833.32242.16424.43504.43502.26721.08435.54105.54104.34562.64244.52264.52262.70326.50156.5015
H163.38834.43504.43502.16423.32245.54105.54101.08432.26724.52264.52262.64244.34566.50156.50152.7032
H173.38834.43504.43503.32242.16425.54105.54102.26721.08434.52264.52264.34562.64246.50156.50152.7032

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 109.703 C1 C2 H10 122.470
C1 C3 C7 109.703 C1 C3 H11 122.470
C1 C4 C8 109.703 C1 C4 H12 122.470
C1 C5 C9 109.703 C1 C5 H13 122.470
C2 C1 C3 102.100 C2 C1 C4 113.278
C2 C1 C5 113.278 C2 C6 C7 109.247
C2 C6 H14 125.987 C3 C1 C4 113.278
C3 C1 C5 113.278 C3 C7 C6 109.247
C3 C7 H15 125.987 C4 C1 C5 102.100
C4 C8 C9 109.247 C4 C8 H16 125.987
C5 C9 C8 109.247 C5 C9 H17 125.987
C6 C2 H10 127.827 C6 C7 H15 124.766
C7 C3 H11 127.827 C7 C6 H14 124.766
C8 C4 H12 127.827 C8 C9 H17 124.766
C9 C5 H13 127.827 C9 C8 H16 124.766
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.361      
2 C -0.129      
3 C -0.129      
4 C -0.129      
5 C -0.129      
6 C -0.197      
7 C -0.197      
8 C -0.197      
9 C -0.197      
10 H 0.211      
11 H 0.211      
12 H 0.211      
13 H 0.211      
14 H 0.205      
15 H 0.205      
16 H 0.205      
17 H 0.205      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.397 0.000 0.000
y 0.000 -52.397 0.000
z 0.000 0.000 -46.972
Traceless
 xyz
x -2.712 0.000 0.000
y 0.000 -2.712 0.000
z 0.000 0.000 5.425
Polar
3z2-r210.849
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 10.259 0.000 0.000
y 0.000 10.259 0.000
z 0.000 0.000 18.655


<r2> (average value of r2) Å2
<r2> 283.990
(<r2>)1/2 16.852