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

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-347.255250
Energy at 298.15K-347.262901
HF Energy-347.255250
Nuclear repulsion energy393.736112
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 PBEPBE/cc-pVDZ
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 3178 3160 0.00      
2 A1 3149 3131 0.00      
3 A1 1534 1525 0.00      
4 A1 1339 1331 0.00      
5 A1 1050 1044 0.00      
6 A1 994 989 0.00      
7 A1 843 838 0.00      
8 A1 429 426 0.00      
9 A2 906 901 0.00      
10 A2 691 687 0.00      
11 A2 508 505 0.00      
12 B1 912 907 0.00      
13 B1 739 735 0.00      
14 B1 600 596 0.00      
15 B1 212 210 0.00      
16 B2 3176 3157 12.39      
17 B2 3148 3130 13.87      
18 B2 1515 1506 10.05      
19 B2 1341 1333 2.80      
20 B2 1168 1161 8.93      
21 B2 1015 1009 7.31      
22 B2 967 962 25.57      
23 B2 801 796 8.86      
24 E 3172 3154 8.37      
24 E 3172 3154 8.37      
25 E 3137 3118 5.81      
25 E 3137 3118 5.81      
26 E 1592 1582 0.01      
26 E 1592 1582 0.01      
27 E 1237 1230 1.00      
27 E 1237 1230 1.00      
28 E 1102 1096 0.08      
28 E 1102 1096 0.08      
29 E 1041 1035 10.70      
29 E 1041 1035 10.70      
30 E 908 902 0.04      
30 E 908 902 0.04      
31 E 788 784 2.75      
31 E 788 784 2.75      
32 E 732 728 57.96      
32 E 732 728 57.96      
33 E 502 499 1.26      
33 E 502 499 1.26      
34 E 103 103 0.66      
34 E 103 103 0.66      

Unscaled Zero Point Vibrational Energy (zpe) 29419.8 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 29249.1 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 PBEPBE/cc-pVDZ
ABC
0.13938 0.04365 0.04365

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.186 0.956
C3 0.000 -1.186 0.956
C4 1.186 0.000 -0.956
C5 -1.186 0.000 -0.956
C6 0.000 0.736 2.239
C7 0.000 -0.736 2.239
C8 0.736 0.000 -2.239
C9 -0.736 0.000 -2.239
H10 0.000 2.225 0.606
H11 0.000 -2.225 0.606
H12 2.225 0.000 -0.606
H13 -2.225 0.000 -0.606
H14 0.000 1.363 3.141
H15 0.000 -1.363 3.141
H16 1.363 0.000 -3.141
H17 -1.363 0.000 -3.141

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52321.52321.52321.52322.35682.35682.35682.35682.30612.30612.30612.30613.42413.42413.42413.4241
C21.52322.37132.54332.54331.35912.31073.48653.48651.09673.42862.96612.96612.19223.35704.47784.4778
C31.52322.37132.54332.54332.31071.35913.48653.48653.42861.09672.96612.96613.35702.19224.47784.4778
C41.52322.54332.54332.37133.48653.48651.35912.31072.96612.96611.09673.42864.47784.47782.19223.3570
C51.52322.54332.54332.37133.48653.48652.31071.35912.96612.96613.42861.09674.47784.47783.35702.1922
C62.35681.35912.31073.48653.48651.47274.59714.59712.20943.38153.68613.68611.09862.28505.59855.5985
C72.35682.31071.35913.48653.48651.47274.59714.59713.38152.20943.68613.68612.28501.09865.59855.5985
C82.35683.48653.48651.35912.31074.59714.59711.47273.68613.68612.20943.38155.59855.59851.09862.2850
C92.35683.48653.48652.31071.35914.59714.59711.47273.68613.68613.38152.20945.59855.59852.28501.0986
H102.30611.09673.42862.96612.96612.20943.38153.68613.68614.45003.37223.37222.67744.39314.56634.5663
H112.30613.42861.09672.96612.96613.38152.20943.68613.68614.45003.37223.37224.39312.67744.56634.5663
H122.30612.96612.96611.09673.42863.68613.68612.20943.38153.37223.37224.45004.56634.56632.67744.3931
H132.30612.96612.96613.42861.09673.68613.68613.38152.20943.37223.37224.45004.56634.56634.39312.6774
H143.42412.19223.35704.47784.47781.09862.28505.59855.59852.67744.39314.56634.56632.72596.57136.5713
H153.42413.35702.19224.47784.47782.28501.09865.59855.59854.39312.67744.56634.56632.72596.57136.5713
H163.42414.47784.47782.19223.35705.59855.59851.09862.28504.56634.56632.67744.39316.57136.57132.7259
H173.42414.47784.47783.35702.19225.59855.59852.28501.09864.56634.56634.39312.67746.57136.57132.7259

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 109.576 C1 C2 H10 122.512
C1 C3 C7 109.576 C1 C3 H11 122.512
C1 C4 C8 109.576 C1 C4 H12 122.512
C1 C5 C9 109.576 C1 C5 H13 122.512
C2 C1 C3 102.234 C2 C1 C4 113.207
C2 C1 C5 113.207 C2 C6 C7 109.307
C2 C6 H14 125.914 C3 C1 C4 113.207
C3 C1 C5 113.207 C3 C7 C6 109.307
C3 C7 H15 125.914 C4 C1 C5 102.234
C4 C8 C9 109.307 C4 C8 H16 125.914
C5 C9 C8 109.307 C5 C9 H17 125.914
C6 C2 H10 127.912 C6 C7 H15 124.779
C7 C3 H11 127.912 C7 C6 H14 124.779
C8 C4 H12 127.912 C8 C9 H17 124.779
C9 C5 H13 127.912 C9 C8 H16 124.779
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.179      
2 C 0.063      
3 C 0.063      
4 C 0.063      
5 C 0.063      
6 C 0.018      
7 C 0.018      
8 C 0.018      
9 C 0.018      
10 H -0.018      
11 H -0.018      
12 H -0.018      
13 H -0.018      
14 H -0.019      
15 H -0.019      
16 H -0.019      
17 H -0.019      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.360 0.000 0.000
y 0.000 -52.360 0.000
z 0.000 0.000 -47.951
Traceless
 xyz
x -2.204 0.000 0.000
y 0.000 -2.204 0.000
z 0.000 0.000 4.408
Polar
3z2-r28.816
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 10.480 0.000 0.000
y 0.000 10.480 0.000
z 0.000 0.000 19.550


<r2> (average value of r2) Å2
<r2> 288.943
(<r2>)1/2 16.998