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

using model chemistry: B3LYP/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 B3LYP/6-31G*
 hartrees
Energy at 0K-347.684680
Energy at 298.15K-347.692564
HF Energy-347.684680
Nuclear repulsion energy395.392474
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 B3LYP/6-31G*
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 3252 3123 0.00      
2 A1 3224 3096 0.00      
3 A1 1591 1528 0.00      
4 A1 1408 1352 0.00      
5 A1 1119 1075 0.00      
6 A1 1010 970 0.00      
7 A1 865 830 0.00      
8 A1 439 421 0.00      
9 A2 946 908 0.00      
10 A2 725 696 0.00      
11 A2 525 504 0.00      
12 B1 952 914 0.00      
13 B1 776 745 0.00      
14 B1 622 597 0.00      
15 B1 219 210 0.00      
16 B2 3250 3121 14.96      
17 B2 3223 3095 25.56      
18 B2 1572 1509 7.76      
19 B2 1408 1352 0.64      
20 B2 1204 1157 4.59      
21 B2 1061 1019 10.93      
22 B2 991 952 16.30      
23 B2 827 795 9.55      
24 E 3247 3118 16.38      
24 E 3247 3118 16.38      
25 E 3212 3084 6.95      
25 E 3212 3084 6.95      
26 E 1657 1591 0.10      
26 E 1657 1591 0.10      
27 E 1313 1261 0.77      
27 E 1313 1261 0.77      
28 E 1153 1107 0.00      
28 E 1153 1107 0.00      
29 E 1090 1047 9.67      
29 E 1090 1047 9.67      
30 E 952 914 0.00      
30 E 952 914 0.00      
31 E 815 782 1.27      
31 E 815 782 1.27      
32 E 763 733 59.30      
32 E 763 733 59.30      
33 E 516 496 1.37      
33 E 516 496 1.37      
34 E 115 111 0.73      
34 E 115 111 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 30436.8 cm-1
Scaled (by 0.9603) Zero Point Vibrational Energy (zpe) 29228.4 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 B3LYP/6-31G*
ABC
0.14043 0.04390 0.04390

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/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 1.181 0.960
C3 0.000 -1.181 0.960
C4 1.181 0.000 -0.960
C5 -1.181 0.000 -0.960
C6 0.000 0.736 2.231
C7 0.000 -0.736 2.231
C8 0.736 0.000 -2.231
C9 -0.736 0.000 -2.231
H10 0.000 2.209 0.617
H11 0.000 -2.209 0.617
H12 2.209 0.000 -0.617
H13 -2.209 0.000 -0.617
H14 0.000 1.352 3.124
H15 0.000 -1.352 3.124
H16 1.352 0.000 -3.124
H17 -1.352 0.000 -3.124

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52231.52231.52231.52232.34892.34892.34892.34892.29362.29362.29362.29363.40433.40433.40433.4043
C21.52232.36272.54542.54541.34602.30023.48123.48121.08343.40772.96032.96032.17103.33174.46174.4617
C31.52232.36272.54542.54542.30021.34603.48123.48123.40771.08342.96032.96033.33172.17104.46174.4617
C41.52232.54542.54542.36273.48123.48121.34602.30022.96032.96031.08343.40774.46174.46172.17103.3317
C51.52232.54542.54542.36273.48123.48122.30021.34602.96032.96033.40771.08344.46174.46173.33172.1710
C62.34891.34602.30023.48123.48121.47264.58104.58102.18453.35833.67843.67841.08532.27135.57185.5718
C72.34892.30021.34603.48123.48121.47264.58104.58103.35832.18453.67843.67842.27131.08535.57185.5718
C82.34893.48123.48121.34602.30024.58104.58101.47263.67843.67842.18453.35835.57185.57181.08532.2713
C92.34893.48123.48122.30021.34604.58104.58101.47263.67843.67843.35832.18455.57185.57182.27131.0853
H102.29361.08343.40772.96032.96032.18453.35833.67843.67844.41803.35903.35902.64994.35494.55044.5504
H112.29363.40771.08342.96032.96033.35832.18453.67843.67844.41803.35903.35904.35492.64994.55044.5504
H122.29362.96032.96031.08343.40773.67843.67842.18453.35833.35903.35904.41804.55044.55042.64994.3549
H132.29362.96032.96033.40771.08343.67843.67843.35832.18453.35903.35904.41804.55044.55044.35492.6499
H143.40432.17103.33174.46174.46171.08532.27135.57185.57182.64994.35494.55044.55042.70336.53486.5348
H153.40433.33172.17104.46174.46172.27131.08535.57185.57184.35492.64994.55044.55042.70336.53486.5348
H163.40434.46174.46172.17103.33175.57185.57181.08532.27134.55044.55042.64994.35496.53486.53482.7033
H173.40434.46174.46173.33172.17105.57185.57182.27131.08534.55044.55044.35492.64996.53486.53482.7033

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 109.798 C1 C2 H10 122.434
C1 C3 C7 109.798 C1 C3 H11 122.434
C1 C4 C8 109.798 C1 C4 H12 122.434
C1 C5 C9 109.798 C1 C5 H13 122.434
C2 C1 C3 101.791 C2 C1 C4 113.442
C2 C1 C5 113.442 C2 C6 C7 109.306
C2 C6 H14 126.153 C3 C1 C4 113.442
C3 C1 C5 113.442 C3 C7 C6 109.306
C3 C7 H15 126.153 C4 C1 C5 101.791
C4 C8 C9 109.306 C4 C8 H16 126.153
C5 C9 C8 109.306 C5 C9 H17 126.153
C6 C2 H10 127.767 C6 C7 H15 124.541
C7 C3 H11 127.767 C7 C6 H14 124.541
C8 C4 H12 127.767 C8 C9 H17 124.541
C9 C5 H13 127.767 C9 C8 H16 124.541
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.097      
2 C -0.110      
3 C -0.110      
4 C -0.110      
5 C -0.110      
6 C -0.136      
7 C -0.136      
8 C -0.136      
9 C -0.136      
10 H 0.139      
11 H 0.139      
12 H 0.139      
13 H 0.139      
14 H 0.131      
15 H 0.131      
16 H 0.131      
17 H 0.131      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.647 0.000 0.000
y 0.000 -51.647 0.000
z 0.000 0.000 -47.227
Traceless
 xyz
x -2.210 0.000 0.000
y 0.000 -2.210 0.000
z 0.000 0.000 4.420
Polar
3z2-r28.840
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 9.409 0.000 0.000
y 0.000 9.409 0.000
z 0.000 0.000 18.159


<r2> (average value of r2) Å2
<r2> 286.776
(<r2>)1/2 16.934