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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-347.255302
Energy at 298.15K-347.262963
HF Energy-347.255302
Nuclear repulsion energy393.734916
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 PBEPBEultrafine/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 3177 3158 0.00      
2 A1 3147 3129 0.00      
3 A1 1534 1525 0.00      
4 A1 1339 1331 0.00      
5 A1 1050 1044 0.00      
6 A1 994 988 0.00      
7 A1 843 838 0.00      
8 A1 429 426 0.00      
9 A2 905 900 0.00      
10 A2 690 686 0.00      
11 A2 509 506 0.00      
12 B1 911 906 0.00      
13 B1 739 734 0.00      
14 B1 600 597 0.00      
15 B1 212 211 0.00      
16 B2 3174 3156 11.87      
17 B2 3146 3128 14.31      
18 B2 1514 1506 10.02      
19 B2 1341 1333 2.81      
20 B2 1168 1162 8.94      
21 B2 1015 1009 7.52      
22 B2 968 962 25.26      
23 B2 801 796 8.89      
24 E 3171 3152 8.21      
24 E 3171 3152 8.21      
25 E 3134 3116 5.94      
25 E 3134 3116 5.94      
26 E 1592 1582 0.01      
26 E 1592 1582 0.01      
27 E 1236 1229 0.99      
27 E 1236 1229 0.99      
28 E 1103 1096 0.08      
28 E 1103 1096 0.08      
29 E 1041 1035 10.71      
29 E 1041 1035 10.71      
30 E 907 902 0.05      
30 E 907 902 0.05      
31 E 789 784 2.75      
31 E 789 784 2.75      
32 E 731 727 57.95      
32 E 731 727 57.95      
33 E 502 499 1.29      
33 E 502 499 1.29      
34 E 106 105 0.67      
34 E 106 105 0.67      

Unscaled Zero Point Vibrational Energy (zpe) 29413.7 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 29243.1 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 PBEPBEultrafine/cc-pVDZ
ABC
0.13937 0.04365 0.04365

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/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
C11.52311.52311.52311.52312.35682.35682.35682.35682.30612.30612.30612.30613.42413.42413.42413.4241
C21.52312.37132.54332.54331.35912.31073.48653.48651.09673.42862.96602.96602.19223.35714.47784.4778
C31.52312.37132.54332.54332.31071.35913.48653.48653.42861.09672.96602.96603.35712.19224.47784.4778
C41.52312.54332.54332.37133.48653.48651.35912.31072.96602.96601.09673.42864.47784.47782.19223.3571
C51.52312.54332.54332.37133.48653.48652.31071.35912.96602.96603.42861.09674.47784.47783.35712.1922
C62.35681.35912.31073.48653.48651.47284.59714.59712.20943.38163.68613.68611.09862.28515.59865.5986
C72.35682.31071.35913.48653.48651.47284.59714.59713.38162.20943.68613.68612.28511.09865.59865.5986
C82.35683.48653.48651.35912.31074.59714.59711.47283.68613.68612.20943.38165.59865.59861.09862.2851
C92.35683.48653.48652.31071.35914.59714.59711.47283.68613.68613.38162.20945.59865.59862.28511.0986
H102.30611.09673.42862.96602.96602.20943.38163.68613.68614.45003.37223.37222.67754.39314.56634.5663
H112.30613.42861.09672.96602.96603.38162.20943.68613.68614.45003.37223.37224.39312.67754.56634.5663
H122.30612.96602.96601.09673.42863.68613.68612.20943.38163.37223.37224.45004.56634.56632.67754.3931
H132.30612.96602.96603.42861.09673.68613.68613.38162.20943.37223.37224.45004.56634.56634.39312.6775
H143.42412.19223.35714.47784.47781.09862.28515.59865.59862.67754.39314.56634.56632.72606.57136.5713
H153.42413.35712.19224.47784.47782.28511.09865.59865.59864.39312.67754.56634.56632.72606.57136.5713
H163.42414.47784.47782.19223.35715.59865.59861.09862.28514.56634.56632.67754.39316.57136.57132.7260
H173.42414.47784.47783.35712.19225.59865.59862.28511.09864.56634.56634.39312.67756.57136.57132.7260

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 109.579 C1 C2 H10 122.513
C1 C3 C7 109.579 C1 C3 H11 122.513
C1 C4 C8 109.579 C1 C4 H12 122.513
C1 C5 C9 109.579 C1 C5 H13 122.513
C2 C1 C3 102.235 C2 C1 C4 113.206
C2 C1 C5 113.206 C2 C6 C7 109.303
C2 C6 H14 125.919 C3 C1 C4 113.206
C3 C1 C5 113.206 C3 C7 C6 109.303
C3 C7 H15 125.919 C4 C1 C5 102.235
C4 C8 C9 109.303 C4 C8 H16 125.919
C5 C9 C8 109.303 C5 C9 H17 125.919
C6 C2 H10 127.908 C6 C7 H15 124.778
C7 C3 H11 127.908 C7 C6 H14 124.778
C8 C4 H12 127.908 C8 C9 H17 124.778
C9 C5 H13 127.908 C9 C8 H16 124.778
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.180      
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 -52.359 0.000 0.000
y 0.000 -52.359 0.000
z 0.000 0.000 -47.950
Traceless
 xyz
x -2.205 0.000 0.000
y 0.000 -2.205 0.000
z 0.000 0.000 4.409
Polar
3z2-r28.818
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 10.479 0.000 0.000
y 0.000 10.479 0.000
z 0.000 0.000 19.549


<r2> (average value of r2) Å2
<r2> 288.942
(<r2>)1/2 16.998