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

using model chemistry: HSEh1PBE/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at HSEh1PBE/TZVP
 hartrees
Energy at 0K-347.404458
Energy at 298.15K-347.412455
HF Energy-347.404458
Nuclear repulsion energy397.764580
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 HSEh1PBE/TZVP
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 3256 3126 0.00      
2 A1 3228 3099 0.00      
3 A1 1596 1532 0.00      
4 A1 1396 1341 0.00      
5 A1 1109 1065 0.00      
6 A1 1016 976 0.00      
7 A1 878 843 0.00      
8 A1 445 427 0.00      
9 A2 958 920 0.00      
10 A2 730 701 0.00      
11 A2 531 510 0.00      
12 B1 961 923 0.00      
13 B1 781 749 0.00      
14 B1 625 600 0.00      
15 B1 220 212 0.00      
16 B2 3254 3124 9.49      
17 B2 3227 3098 10.44      
18 B2 1574 1512 11.93      
19 B2 1399 1343 0.15      
20 B2 1213 1164 7.26      
21 B2 1062 1020 11.02      
22 B2 996 956 23.83      
23 B2 835 801 9.86      
24 E 3250 3121 5.40      
24 E 3250 3121 5.40      
25 E 3216 3088 4.98      
25 E 3216 3088 4.98      
26 E 1655 1589 0.00      
26 E 1655 1589 0.00      
27 E 1304 1252 0.82      
27 E 1304 1252 0.82      
28 E 1155 1109 0.09      
28 E 1155 1109 0.09      
29 E 1092 1049 14.17      
29 E 1092 1049 14.17      
30 E 963 925 0.00      
30 E 963 925 0.00      
31 E 822 789 1.56      
31 E 822 789 1.56      
32 E 760 730 87.09      
32 E 760 730 87.09      
33 E 520 499 2.40      
33 E 520 499 2.40      
34 E 113 109 0.94      
34 E 113 109 0.94      

Unscaled Zero Point Vibrational Energy (zpe) 30493.1 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 29276.4 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 HSEh1PBE/TZVP
ABC
0.14185 0.04452 0.04452

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/TZVP

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.175 0.951
C3 0.000 -1.175 0.951
C4 1.175 0.000 -0.951
C5 -1.175 0.000 -0.951
C6 0.000 0.732 2.215
C7 0.000 -0.732 2.215
C8 0.732 0.000 -2.215
C9 -0.732 0.000 -2.215
H10 0.000 2.200 0.608
H11 0.000 -2.200 0.608
H12 2.200 0.000 -0.608
H13 -2.200 0.000 -0.608
H14 0.000 1.349 3.105
H15 0.000 -1.349 3.105
H16 1.349 0.000 -3.105
H17 -1.349 0.000 -3.105

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51131.51131.51131.51132.33292.33292.33292.33292.28272.28272.28272.28273.38513.38513.38513.3851
C21.51132.34952.52512.52511.33932.28813.45523.45521.08103.39222.94132.94132.16093.31794.43244.4324
C31.51132.34952.52512.52512.28811.33933.45523.45523.39221.08102.94132.94133.31792.16094.43244.4324
C41.51132.52512.52512.34953.45523.45521.33932.28812.94132.94131.08103.39224.43244.43242.16093.3179
C51.51132.52512.52512.34953.45523.45522.28811.33932.94132.94133.39221.08104.43244.43243.31792.1609
C62.33291.33932.28813.45523.45521.46494.54934.54932.17603.34383.65353.65351.08252.26375.53665.5366
C72.33292.28811.33933.45523.45521.46494.54934.54933.34382.17603.65353.65352.26371.08255.53665.5366
C82.33293.45523.45521.33932.28814.54934.54931.46493.65353.65352.17603.34385.53665.53661.08252.2637
C92.33293.45523.45522.28811.33934.54934.54931.46493.65353.65353.34382.17605.53665.53662.26371.0825
H102.28271.08103.39222.94132.94132.17603.34383.65353.65354.40023.34093.34092.63744.33914.52184.5218
H112.28273.39221.08102.94132.94133.34382.17603.65353.65354.40023.34093.34094.33912.63744.52184.5218
H122.28272.94132.94131.08103.39223.65353.65352.17603.34383.34093.34094.40024.52184.52182.63744.3391
H132.28272.94132.94133.39221.08103.65353.65353.34382.17603.34093.34094.40024.52184.52184.33912.6374
H143.38512.16093.31794.43244.43241.08252.26375.53665.53662.63744.33914.52184.52182.69816.49586.4958
H153.38513.31792.16094.43244.43242.26371.08255.53665.53664.33912.63744.52184.52182.69816.49586.4958
H163.38514.43244.43242.16093.31795.53665.53661.08252.26374.52184.52182.63744.33916.49586.49582.6981
H173.38514.43244.43243.31792.16095.53665.53662.26371.08254.52184.52184.33912.63746.49586.49582.6981

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 109.699 C1 C2 H10 122.547
C1 C3 C7 109.699 C1 C3 H11 122.547
C1 C4 C8 109.699 C1 C4 H12 122.547
C1 C5 C9 109.699 C1 C5 H13 122.547
C2 C1 C3 102.030 C2 C1 C4 113.315
C2 C1 C5 113.315 C2 C6 C7 109.285
C2 C6 H14 125.992 C3 C1 C4 113.315
C3 C1 C5 113.315 C3 C7 C6 109.285
C3 C7 H15 125.992 C4 C1 C5 102.030
C4 C8 C9 109.285 C4 C8 H16 125.992
C5 C9 C8 109.285 C5 C9 H17 125.992
C6 C2 H10 127.754 C6 C7 H15 124.723
C7 C3 H11 127.754 C7 C6 H14 124.723
C8 C4 H12 127.754 C8 C9 H17 124.723
C9 C5 H13 127.754 C9 C8 H16 124.723
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.223      
2 C -0.230      
3 C -0.230      
4 C -0.230      
5 C -0.230      
6 C -0.075      
7 C -0.075      
8 C -0.075      
9 C -0.075      
10 H 0.124      
11 H 0.124      
12 H 0.124      
13 H 0.124      
14 H 0.126      
15 H 0.126      
16 H 0.126      
17 H 0.126      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.752 0.000 0.000
y 0.000 -52.752 0.000
z 0.000 0.000 -47.448
Traceless
 xyz
x -2.652 0.000 0.000
y 0.000 -2.652 0.000
z 0.000 0.000 5.304
Polar
3z2-r210.608
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 11.388 0.000 0.000
y 0.000 11.388 0.000
z 0.000 0.000 19.314


<r2> (average value of r2) Å2
<r2> 283.953
(<r2>)1/2 16.851