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

using model chemistry: HSEh1PBE/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at HSEh1PBE/6-31G**
 hartrees
Energy at 0K-347.310381
Energy at 298.15K-347.318315
HF Energy-347.310381
Nuclear repulsion energy397.016455
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 HSEh1PBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3275 3126 0.00      
2 A1 3245 3097 0.00      
3 A1 1612 1538 0.00      
4 A1 1407 1343 0.00      
5 A1 1112 1061 0.00      
6 A1 1026 979 0.00      
7 A1 876 836 0.00      
8 A1 443 423 0.00      
9 A2 954 911 0.00      
10 A2 731 698 0.00      
11 A2 528 504 0.00      
12 B1 960 916 0.00      
13 B1 782 746 0.00      
14 B1 625 597 0.00      
15 B1 219 209 0.00      
16 B2 3273 3123 11.95      
17 B2 3244 3096 15.62      
18 B2 1594 1521 8.64      
19 B2 1412 1347 0.65      
20 B2 1217 1161 7.05      
21 B2 1067 1018 10.45      
22 B2 1005 959 20.10      
23 B2 832 794 8.49      
24 E 3270 3120 9.61      
24 E 3270 3120 9.61      
25 E 3232 3085 6.47      
25 E 3232 3085 6.47      
26 E 1673 1597 0.15      
26 E 1673 1597 0.15      
27 E 1309 1249 0.86      
27 E 1309 1249 0.86      
28 E 1163 1110 0.32      
28 E 1163 1110 0.32      
29 E 1098 1048 9.87      
29 E 1098 1048 9.87      
30 E 960 916 0.01      
30 E 960 916 0.01      
31 E 815 778 2.49      
31 E 815 778 2.49      
32 E 768 733 66.45      
32 E 768 733 66.45      
33 E 519 496 1.67      
33 E 519 496 1.67      
34 E 108 103 0.82      
34 E 108 103 0.82      

Unscaled Zero Point Vibrational Energy (zpe) 30633.2 cm-1
Scaled (by 0.9543) Zero Point Vibrational Energy (zpe) 29233.3 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 HSEh1PBE/6-31G**
ABC
0.14145 0.04435 0.04435

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.177 0.951
C3 0.000 -1.177 0.951
C4 1.177 0.000 -0.951
C5 -1.177 0.000 -0.951
C6 0.000 0.733 2.220
C7 0.000 -0.733 2.220
C8 0.733 0.000 -2.220
C9 -0.733 0.000 -2.220
H10 0.000 2.203 0.607
H11 0.000 -2.203 0.607
H12 2.203 0.000 -0.607
H13 -2.203 0.000 -0.607
H14 0.000 1.350 3.112
H15 0.000 -1.350 3.112
H16 1.350 0.000 -3.112
H17 -1.350 0.000 -3.112

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51321.51321.51321.51322.33792.33792.33792.33792.28512.28512.28512.28513.39213.39213.39213.3921
C21.51322.35332.52792.52791.34372.29273.46123.46121.08283.39732.94382.94382.16723.32444.44044.4404
C31.51322.35332.52792.52792.29271.34373.46123.46123.39731.08282.94382.94383.32442.16724.44044.4404
C41.51322.52792.52792.35333.46123.46121.34372.29272.94382.94381.08283.39734.44044.44042.16723.3244
C51.51322.52792.52792.35333.46123.46122.29271.34372.94382.94383.39731.08284.44044.44043.32442.1672
C62.33791.34372.29273.46123.46121.46654.55934.55932.18243.35033.65803.65801.08452.26635.54865.5486
C72.33792.29271.34373.46123.46121.46654.55934.55933.35032.18243.65803.65802.26631.08455.54865.5486
C82.33793.46123.46121.34372.29274.55934.55931.46653.65803.65802.18243.35035.54865.54861.08452.2663
C92.33793.46123.46122.29271.34374.55934.55931.46653.65803.65803.35032.18245.54865.54862.26631.0845
H102.28511.08283.39732.94382.94382.18243.35033.65803.65804.40623.34363.34362.64634.34764.52814.5281
H112.28513.39731.08282.94382.94383.35032.18243.65803.65804.40623.34363.34364.34762.64634.52814.5281
H122.28512.94382.94381.08283.39733.65803.65802.18243.35033.34363.34364.40624.52814.52812.64634.3476
H132.28512.94382.94383.39731.08283.65803.65803.35032.18243.34363.34364.40624.52814.52814.34762.6463
H143.39212.16723.32444.44044.44041.08452.26635.54865.54862.64634.34764.52814.52812.70056.50996.5099
H153.39213.32442.16724.44044.44042.26631.08455.54865.54864.34762.64634.52814.52812.70056.50996.5099
H163.39214.44044.44042.16723.32445.54865.54861.08452.26634.52814.52812.64634.34766.50996.50992.7005
H173.39214.44044.44043.32442.16725.54865.54862.26631.08454.52814.52814.34762.64636.50996.50992.7005

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 109.692 C1 C2 H10 122.471
C1 C3 C7 109.692 C1 C3 H11 122.471
C1 C4 C8 109.692 C1 C4 H12 122.471
C1 C5 C9 109.692 C1 C5 H13 122.471
C2 C1 C3 102.080 C2 C1 C4 113.289
C2 C1 C5 113.289 C2 C6 C7 109.268
C2 C6 H14 126.057 C3 C1 C4 113.289
C3 C1 C5 113.289 C3 C7 C6 109.268
C3 C7 H15 126.057 C4 C1 C5 102.080
C4 C8 C9 109.268 C4 C8 H16 126.057
C5 C9 C8 109.268 C5 C9 H17 126.057
C6 C2 H10 127.837 C6 C7 H15 124.674
C7 C3 H11 127.837 C7 C6 H14 124.674
C8 C4 H12 127.837 C8 C9 H17 124.674
C9 C5 H13 127.837 C9 C8 H16 124.674
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.220      
2 C -0.070      
3 C -0.070      
4 C -0.070      
5 C -0.070      
6 C -0.128      
7 C -0.128      
8 C -0.128      
9 C -0.128      
10 H 0.132      
11 H 0.132      
12 H 0.132      
13 H 0.132      
14 H 0.122      
15 H 0.122      
16 H 0.122      
17 H 0.122      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.395 0.000 0.000
y 0.000 -51.395 0.000
z 0.000 0.000 -46.764
Traceless
 xyz
x -2.315 0.000 0.000
y 0.000 -2.315 0.000
z 0.000 0.000 4.631
Polar
3z2-r29.262
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 9.456 0.000 0.000
y 0.000 9.456 0.000
z 0.000 0.000 18.154


<r2> (average value of r2) Å2
<r2> 284.178
(<r2>)1/2 16.858