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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/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-347.294437
Energy at 298.15K-347.302376
HF Energy-347.294437
Nuclear repulsion energy396.695023
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/6-31+G**
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 3274 3128 0.00      
2 A1 3247 3102 0.00      
3 A1 1604 1532 0.00      
4 A1 1402 1340 0.00      
5 A1 1110 1060 0.00      
6 A1 1024 978 0.00      
7 A1 876 837 0.00      
8 A1 442 422 0.00      
9 A2 953 911 0.00      
10 A2 728 696 0.00      
11 A2 526 503 0.00      
12 B1 958 915 0.00      
13 B1 782 747 0.00      
14 B1 620 592 0.00      
15 B1 219 209 0.00      
16 B2 3272 3126 11.24      
17 B2 3246 3101 11.38      
18 B2 1585 1514 14.43      
19 B2 1406 1343 0.59      
20 B2 1215 1160 7.39      
21 B2 1066 1018 10.79      
22 B2 1004 959 23.73      
23 B2 829 792 9.03      
24 E 3268 3122 6.86      
24 E 3268 3122 6.86      
25 E 3235 3090 5.10      
25 E 3235 3090 5.10      
26 E 1661 1587 0.11      
26 E 1661 1587 0.11      
27 E 1305 1247 0.62      
27 E 1305 1247 0.62      
28 E 1162 1110 0.28      
28 E 1162 1110 0.28      
29 E 1095 1046 14.31      
29 E 1095 1046 14.31      
30 E 961 918 0.00      
30 E 961 918 0.00      
31 E 815 778 2.29      
31 E 815 778 2.29      
32 E 762 728 95.98      
32 E 762 728 95.98      
33 E 517 494 2.47      
33 E 517 494 2.47      
34 E 111 106 0.93      
34 E 111 106 0.93      

Unscaled Zero Point Vibrational Energy (zpe) 30584.4 cm-1
Scaled (by 0.9553) Zero Point Vibrational Energy (zpe) 29217.3 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 PBE1PBE/6-31+G**
ABC
0.14127 0.04428 0.04428

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31+G**

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 0.952
C3 0.000 -1.177 0.952
C4 1.177 0.000 -0.952
C5 -1.177 0.000 -0.952
C6 0.000 0.734 2.222
C7 0.000 -0.734 2.222
C8 0.734 0.000 -2.222
C9 -0.734 0.000 -2.222
H10 0.000 2.205 0.608
H11 0.000 -2.205 0.608
H12 2.205 0.000 -0.608
H13 -2.205 0.000 -0.608
H14 0.000 1.352 3.113
H15 0.000 -1.352 3.113
H16 1.352 0.000 -3.113
H17 -1.352 0.000 -3.113

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51381.51381.51381.51382.34032.34032.34032.34032.28692.28692.28692.28693.39443.39443.39443.3944
C21.51382.35452.52862.52861.34592.29493.46373.46371.08353.39942.94582.94582.16893.32754.44294.4429
C31.51382.35452.52862.52862.29491.34593.46373.46373.39941.08352.94582.94583.32752.16894.44294.4429
C41.51382.52862.52862.35453.46373.46371.34592.29492.94582.94581.08353.39944.44294.44292.16893.3275
C51.51382.52862.52862.35453.46373.46372.29491.34592.94582.94583.39941.08354.44294.44293.32752.1689
C62.34031.34592.29493.46373.46371.46744.56414.56412.18423.35283.66163.66161.08482.26845.55315.5531
C72.34032.29491.34593.46373.46371.46744.56414.56413.35282.18423.66163.66162.26841.08485.55315.5531
C82.34033.46373.46371.34592.29494.56414.56411.46743.66163.66162.18423.35285.55315.55311.08482.2684
C92.34033.46373.46372.29491.34594.56414.56411.46743.66163.66163.35282.18425.55315.55312.26841.0848
H102.28691.08353.39942.94582.94582.18423.35283.66163.66164.40943.34643.34642.64684.35104.53174.5317
H112.28693.39941.08352.94582.94583.35282.18423.66163.66164.40943.34643.34644.35102.64684.53174.5317
H122.28692.94582.94581.08353.39943.66163.66162.18423.35283.34643.34644.40944.53174.53172.64684.3510
H132.28692.94582.94583.39941.08353.66163.66163.35282.18423.34643.34644.40944.53174.53174.35102.6468
H143.39442.16893.32754.44294.44291.08482.26845.55315.55312.64684.35104.53174.53172.70466.51396.5139
H153.39443.32752.16894.44294.44292.26841.08485.55315.55314.35102.64684.53174.53172.70466.51396.5139
H163.39444.44294.44292.16893.32755.55315.55311.08482.26844.53174.53172.64684.35106.51396.51392.7046
H173.39444.44294.44293.32752.16895.55315.55312.26841.08484.53174.53174.35102.64686.51396.51392.7046

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 109.706 C1 C2 H10 122.544
C1 C3 C7 109.706 C1 C3 H11 122.544
C1 C4 C8 109.706 C1 C4 H12 122.544
C1 C5 C9 109.706 C1 C5 H13 122.544
C2 C1 C3 102.104 C2 C1 C4 113.276
C2 C1 C5 113.276 C2 C6 C7 109.242
C2 C6 H14 125.992 C3 C1 C4 113.276
C3 C1 C5 113.276 C3 C7 C6 109.242
C3 C7 H15 125.992 C4 C1 C5 102.104
C4 C8 C9 109.242 C4 C8 H16 125.992
C5 C9 C8 109.242 C5 C9 H17 125.992
C6 C2 H10 127.750 C6 C7 H15 124.766
C7 C3 H11 127.750 C7 C6 H14 124.766
C8 C4 H12 127.750 C8 C9 H17 124.766
C9 C5 H13 127.750 C9 C8 H16 124.766
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.675      
2 C -0.382      
3 C -0.382      
4 C -0.382      
5 C -0.382      
6 C -0.113      
7 C -0.113      
8 C -0.113      
9 C -0.113      
10 H 0.166      
11 H 0.166      
12 H 0.166      
13 H 0.166      
14 H 0.160      
15 H 0.160      
16 H 0.160      
17 H 0.160      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -53.087 0.000 0.000
y 0.000 -53.087 0.000
z 0.000 0.000 -47.526
Traceless
 xyz
x -2.781 0.000 0.000
y 0.000 -2.781 0.000
z 0.000 0.000 5.561
Polar
3z2-r211.122
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 11.893 0.000 0.000
y 0.000 11.893 0.000
z 0.000 0.000 19.595


<r2> (average value of r2) Å2
<r2> 285.446
(<r2>)1/2 16.895