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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/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBE1PBE/6-31G
 hartrees
Energy at 0K-347.187475
Energy at 298.15K-347.195579
HF Energy-347.187475
Nuclear repulsion energy395.383433
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/6-31G
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 3303 3157 0.00      
2 A1 3271 3126 0.00      
3 A1 1610 1539 0.00      
4 A1 1418 1356 0.00      
5 A1 1138 1088 0.00      
6 A1 1032 987 0.00      
7 A1 887 847 0.00      
8 A1 451 431 0.00      
9 A2 989 945 0.00      
10 A2 758 725 0.00      
11 A2 542 518 0.00      
12 B1 993 949 0.00      
13 B1 807 772 0.00      
14 B1 636 608 0.00      
15 B1 226 216 0.00      
16 B2 3301 3155 18.14      
17 B2 3270 3126 11.82      
18 B2 1591 1521 11.28      
19 B2 1419 1356 0.10      
20 B2 1230 1175 8.47      
21 B2 1092 1044 15.28      
22 B2 1012 968 19.95      
23 B2 852 815 11.66      
24 E 3293 3148 12.20      
24 E 3293 3148 12.20      
25 E 3258 3114 5.62      
25 E 3258 3114 5.62      
26 E 1668 1595 0.42      
26 E 1668 1595 0.42      
27 E 1336 1277 1.77      
27 E 1336 1277 1.77      
28 E 1176 1124 0.04      
28 E 1176 1124 0.04      
29 E 1104 1056 12.95      
29 E 1104 1056 12.95      
30 E 987 944 0.10      
30 E 987 944 0.10      
31 E 842 805 0.41      
31 E 842 805 0.41      
32 E 780 745 89.30      
32 E 780 745 89.30      
33 E 527 504 2.60      
33 E 527 504 2.60      
34 E 115 110 1.04      
34 E 115 110 1.04      

Unscaled Zero Point Vibrational Energy (zpe) 30999.7 cm-1
Scaled (by 0.9559) Zero Point Vibrational Energy (zpe) 29632.6 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/6-31G
ABC
0.14043 0.04392 0.04392

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/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 1.182 0.957
C3 0.000 -1.182 0.957
C4 1.182 0.000 -0.957
C5 -1.182 0.000 -0.957
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 2.207 0.611
H11 0.000 -2.207 0.611
H12 2.207 0.000 -0.611
H13 -2.207 0.000 -0.611
H14 0.000 1.349 3.124
H15 0.000 -1.349 3.124
H16 1.349 0.000 -3.124
H17 -1.349 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
C11.52141.52141.52141.52142.34932.34932.34932.34932.28992.28992.28992.28993.40243.40243.40243.4024
C21.52142.36472.54222.54221.34972.30243.47953.47951.08163.40692.95442.95442.17263.33144.45794.4579
C31.52142.36472.54222.54222.30241.34973.47953.47953.40691.08162.95442.95443.33142.17264.45794.4579
C41.52142.54222.54222.36473.47953.47951.34972.30242.95442.95441.08163.40694.45794.45792.17263.3314
C51.52142.54222.54222.36473.47953.47952.30241.34972.95442.95443.40691.08164.45794.45793.33142.1726
C62.34931.34972.30243.47953.47951.47144.58204.58202.18853.35913.67283.67281.08282.26745.57095.5709
C72.34932.30241.34973.47953.47951.47144.58204.58203.35912.18853.67283.67282.26741.08285.57095.5709
C82.34933.47953.47951.34972.30244.58204.58201.47143.67283.67282.18853.35915.57095.57091.08282.2674
C92.34933.47953.47952.30241.34974.58204.58201.47143.67283.67283.35912.18855.57095.57092.26741.0828
H102.28991.08163.40692.95442.95442.18853.35913.67283.67284.41383.35173.35172.65534.35384.54284.5428
H112.28993.40691.08162.95442.95443.35912.18853.67283.67284.41383.35173.35174.35382.65534.54284.5428
H122.28992.95442.95441.08163.40693.67283.67282.18853.35913.35173.35174.41384.54284.54282.65534.3538
H132.28992.95442.95443.40691.08163.67283.67283.35912.18853.35173.35174.41384.54284.54284.35382.6553
H143.40242.17263.33144.45794.45791.08282.26745.57095.57092.65534.35384.54284.54282.69726.53216.5321
H153.40243.33142.17264.45794.45792.26741.08285.57095.57094.35382.65534.54284.54282.69726.53216.5321
H163.40244.45794.45792.17263.33145.57095.57091.08282.26744.54284.54282.65534.35386.53216.53212.6972
H173.40244.45794.45793.33142.17265.57095.57092.26741.08284.54284.54284.35382.65536.53216.53212.6972

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 109.676 C1 C2 H10 122.312
C1 C3 C7 109.676 C1 C3 H11 122.312
C1 C4 C8 109.676 C1 C4 H12 122.312
C1 C5 C9 109.676 C1 C5 H13 122.312
C2 C1 C3 101.998 C2 C1 C4 113.332
C2 C1 C5 113.332 C2 C6 C7 109.325
C2 C6 H14 126.199 C3 C1 C4 113.332
C3 C1 C5 113.332 C3 C7 C6 109.325
C3 C7 H15 126.199 C4 C1 C5 101.998
C4 C8 C9 109.325 C4 C8 H16 126.199
C5 C9 C8 109.325 C5 C9 H17 126.199
C6 C2 H10 128.012 C6 C7 H15 124.476
C7 C3 H11 128.012 C7 C6 H14 124.476
C8 C4 H12 128.012 C8 C9 H17 124.476
C9 C5 H13 128.012 C9 C8 H16 124.476
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.384      
2 C -0.080      
3 C -0.080      
4 C -0.080      
5 C -0.080      
6 C -0.176      
7 C -0.176      
8 C -0.176      
9 C -0.176      
10 H 0.181      
11 H 0.181      
12 H 0.181      
13 H 0.181      
14 H 0.172      
15 H 0.172      
16 H 0.172      
17 H 0.172      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.773 0.000 0.000
y 0.000 -51.773 0.000
z 0.000 0.000 -46.936
Traceless
 xyz
x -2.418 0.000 0.000
y 0.000 -2.418 0.000
z 0.000 0.000 4.837
Polar
3z2-r29.673
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 9.091 0.000 0.000
y 0.000 9.091 0.000
z 0.000 0.000 17.842


<r2> (average value of r2) Å2
<r2> 286.626
(<r2>)1/2 16.930