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

using model chemistry: wB97X-D/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 wB97X-D/3-21G*
 hartrees
Energy at 0K-345.664330
Energy at 298.15K-345.672346
HF Energy-345.664330
Nuclear repulsion energy395.565136
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 wB97X-D/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 3302 3129 0.00      
2 A1 3269 3098 0.00      
3 A1 1600 1516 0.00      
4 A1 1400 1327 0.00      
5 A1 1141 1082 0.00      
6 A1 985 933 0.00      
7 A1 881 835 0.00      
8 A1 450 427 0.00      
9 A2 1000 948 0.00      
10 A2 759 720 0.00      
11 A2 543 514 0.00      
12 B1 1005 953 0.00      
13 B1 806 764 0.00      
14 B1 640 607 0.00      
15 B1 235 223 0.00      
16 B2 3300 3128 11.45      
17 B2 3269 3098 4.53      
18 B2 1581 1498 9.29      
19 B2 1401 1328 0.55      
20 B2 1234 1170 7.22      
21 B2 1084 1028 18.11      
22 B2 966 915 14.81      
23 B2 858 813 14.42      
24 E 3293 3121 4.51      
24 E 3293 3121 4.51      
25 E 3258 3088 5.14      
25 E 3258 3088 5.14      
26 E 1662 1575 1.16      
26 E 1662 1575 1.16      
27 E 1335 1265 1.69      
27 E 1335 1265 1.69      
28 E 1166 1105 0.12      
28 E 1166 1105 0.12      
29 E 1099 1041 14.18      
29 E 1099 1041 14.18      
30 E 1000 948 0.35      
30 E 1000 948 0.35      
31 E 855 810 0.00      
31 E 855 810 0.00      
32 E 772 731 100.20      
32 E 772 731 100.20      
33 E 523 496 3.56      
33 E 523 496 3.56      
34 E 92 87 1.24      
34 E 92 87 1.24      

Unscaled Zero Point Vibrational Energy (zpe) 30907.7 cm-1
Scaled (by 0.9478) Zero Point Vibrational Energy (zpe) 29294.4 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 wB97X-D/3-21G*
ABC
0.13946 0.04410 0.04410

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/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 1.187 0.957
C3 0.000 -1.187 0.957
C4 1.187 0.000 -0.957
C5 -1.187 0.000 -0.957
C6 0.000 0.744 2.226
C7 0.000 -0.744 2.226
C8 0.744 0.000 -2.226
C9 -0.744 0.000 -2.226
H10 0.000 2.209 0.609
H11 0.000 -2.209 0.609
H12 2.209 0.000 -0.609
H13 -2.209 0.000 -0.609
H14 0.000 1.352 3.119
H15 0.000 -1.352 3.119
H16 1.352 0.000 -3.119
H17 -1.352 0.000 -3.119

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52461.52461.52461.52462.34682.34682.34682.34682.29102.29102.29102.29103.39923.39923.39923.3992
C21.52462.37322.54592.54591.34372.30983.47763.47761.08003.41322.95612.95612.16763.33434.45534.4553
C31.52462.37322.54592.54592.30981.34373.47763.47763.41321.08002.95612.95613.33432.16764.45534.4553
C41.52462.54592.54592.37323.47763.47761.34372.30982.95612.95611.08003.41324.45534.45532.16763.3343
C51.52462.54592.54592.37323.47763.47762.30981.34372.95612.95613.41321.08004.45534.45533.33432.1676
C62.34681.34372.30983.47763.47761.48724.57424.57422.18223.36633.66953.66951.08052.27835.56285.5628
C72.34682.30981.34373.47763.47761.48724.57424.57423.36632.18223.66953.66952.27831.08055.56285.5628
C82.34683.47763.47761.34372.30984.57424.57421.48723.66953.66952.18223.36635.56285.56281.08052.2783
C92.34683.47763.47762.30981.34374.57424.57421.48723.66953.66953.36632.18225.56285.56282.27831.0805
H102.29101.08003.41322.95612.95612.18223.36633.66953.66954.41753.35243.35242.65204.35684.53864.5386
H112.29103.41321.08002.95612.95613.36632.18223.66953.66954.41753.35243.35244.35682.65204.53864.5386
H122.29102.95612.95611.08003.41323.66953.66952.18223.36633.35243.35244.41754.53864.53862.65204.3568
H132.29102.95612.95613.41321.08003.66953.66953.36632.18223.35243.35244.41754.53864.53864.35682.6520
H143.39922.16763.33434.45534.45531.08052.27835.56285.56282.65204.35684.53864.53862.70506.52376.5237
H153.39923.33432.16764.45534.45532.27831.08055.56285.56284.35682.65204.53864.53862.70506.52376.5237
H163.39924.45534.45532.16763.33435.56285.56281.08052.27834.53864.53862.65204.35686.52376.52372.7050
H173.39924.45534.45533.33432.16765.56285.56282.27831.08054.53864.53864.35682.65206.52376.52372.7050

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 109.645 C1 C2 H10 122.267
C1 C3 C7 109.645 C1 C3 H11 122.267
C1 C4 C8 109.645 C1 C4 H12 122.267
C1 C5 C9 109.645 C1 C5 H13 122.267
C2 C1 C3 102.210 C2 C1 C4 113.219
C2 C1 C5 113.219 C2 C6 C7 109.250
C2 C6 H14 126.452 C3 C1 C4 113.219
C3 C1 C5 113.219 C3 C7 C6 109.250
C3 C7 H15 126.452 C4 C1 C5 102.210
C4 C8 C9 109.250 C4 C8 H16 126.452
C5 C9 C8 109.250 C5 C9 H17 126.452
C6 C2 H10 128.088 C6 C7 H15 124.298
C7 C3 H11 128.088 C7 C6 H14 124.298
C8 C4 H12 128.088 C8 C9 H17 124.298
C9 C5 H13 128.088 C9 C8 H16 124.298
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.378      
2 C -0.120      
3 C -0.120      
4 C -0.120      
5 C -0.120      
6 C -0.230      
7 C -0.230      
8 C -0.230      
9 C -0.230      
10 H 0.227      
11 H 0.227      
12 H 0.227      
13 H 0.227      
14 H 0.217      
15 H 0.217      
16 H 0.217      
17 H 0.217      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.981 0.000 0.000
y 0.000 -51.981 0.000
z 0.000 0.000 -46.583
Traceless
 xyz
x -2.699 0.000 0.000
y 0.000 -2.699 0.000
z 0.000 0.000 5.399
Polar
3z2-r210.798
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 8.329 0.000 0.000
y 0.000 8.329 0.000
z 0.000 0.000 16.949


<r2> (average value of r2) Å2
<r2> 285.959
(<r2>)1/2 16.910