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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/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 HSEh1PBE/6-31G
 hartrees
Energy at 0K-347.214984
Energy at 298.15K-347.223085
HF Energy-347.214984
Nuclear repulsion energy395.377016
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/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 3301 3158 0.00      
2 A1 3268 3126 0.00      
3 A1 1608 1538 0.00      
4 A1 1418 1356 0.00      
5 A1 1138 1089 0.00      
6 A1 1031 986 0.00      
7 A1 886 847 0.00      
8 A1 451 432 0.00      
9 A2 988 945 0.00      
10 A2 758 725 0.00      
11 A2 542 518 0.00      
12 B1 992 949 0.00      
13 B1 807 772 0.00      
14 B1 636 608 0.00      
15 B1 226 216 0.00      
16 B2 3299 3156 18.00      
17 B2 3267 3125 13.91      
18 B2 1588 1520 11.03      
19 B2 1418 1356 0.12      
20 B2 1228 1175 8.15      
21 B2 1091 1043 15.33      
22 B2 1012 968 19.70      
23 B2 852 815 11.84      
24 E 3292 3149 13.04      
24 E 3292 3149 13.04      
25 E 3255 3114 6.03      
25 E 3255 3114 6.03      
26 E 1667 1594 0.40      
26 E 1667 1594 0.40      
27 E 1336 1278 1.75      
27 E 1336 1278 1.75      
28 E 1175 1124 0.06      
28 E 1175 1124 0.06      
29 E 1103 1055 12.84      
29 E 1103 1055 12.84      
30 E 986 944 0.09      
30 E 986 944 0.09      
31 E 842 806 0.40      
31 E 842 806 0.40      
32 E 779 745 87.84      
32 E 779 745 87.84      
33 E 527 505 2.53      
33 E 527 505 2.53      
34 E 116 111 1.03      
34 E 116 111 1.03      

Unscaled Zero Point Vibrational Energy (zpe) 30977.9 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 29633.5 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/6-31G
ABC
0.14044 0.04391 0.04391

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/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 0.958
C3 0.000 -1.182 0.958
C4 1.182 0.000 -0.958
C5 -1.182 0.000 -0.958
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 1.348 3.124
H15 0.000 -1.348 3.124
H16 1.348 0.000 -3.124
H17 -1.348 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
C11.52161.52161.52161.52162.34942.34942.34942.34942.28992.28992.28992.28993.40243.40243.40243.4024
C21.52162.36472.54272.54271.34962.30233.47983.47981.08143.40682.95472.95472.17243.33114.45824.4582
C31.52162.36472.54272.54272.30231.34963.47983.47983.40681.08142.95472.95473.33112.17244.45824.4582
C41.52162.54272.54272.36473.47983.47981.34962.30232.95472.95471.08143.40684.45824.45822.17243.3311
C51.52162.54272.54272.36473.47983.47982.30231.34962.95472.95473.40681.08144.45824.45823.33112.1724
C62.34941.34962.30233.47983.47981.47124.58234.58232.18833.35883.67313.67311.08262.26705.57115.5711
C72.34942.30231.34963.47983.47981.47124.58234.58233.35882.18833.67313.67312.26701.08265.57115.5711
C82.34943.47983.47981.34962.30234.58234.58231.47123.67313.67312.18833.35885.57115.57111.08262.2670
C92.34943.47983.47982.30231.34964.58234.58231.47123.67313.67313.35882.18835.57115.57112.26701.0826
H102.28991.08143.40682.95472.95472.18833.35883.67313.67314.41363.35183.35182.65524.35334.54314.5431
H112.28993.40681.08142.95472.95473.35882.18833.67313.67314.41363.35183.35184.35332.65524.54314.5431
H122.28992.95472.95471.08143.40683.67313.67312.18833.35883.35183.35184.41364.54314.54312.65524.3533
H132.28992.95472.95473.40681.08143.67313.67313.35882.18833.35183.35184.41364.54314.54314.35332.6552
H143.40242.17243.33114.45824.45821.08262.26705.57115.57112.65524.35334.54314.54312.69666.53226.5322
H153.40243.33112.17244.45824.45822.26701.08265.57115.57114.35332.65524.54314.54312.69666.53226.5322
H163.40244.45824.45822.17243.33115.57115.57111.08262.26704.54314.54312.65524.35336.53226.53222.6966
H173.40244.45824.45823.33112.17245.57115.57112.26701.08264.54314.54314.35332.65526.53226.53222.6966

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 109.677 C1 C2 H10 122.307
C1 C3 C7 109.677 C1 C3 H11 122.307
C1 C4 C8 109.677 C1 C4 H12 122.307
C1 C5 C9 109.677 C1 C5 H13 122.307
C2 C1 C3 101.982 C2 C1 C4 113.341
C2 C1 C5 113.341 C2 C6 C7 109.332
C2 C6 H14 126.200 C3 C1 C4 113.341
C3 C1 C5 113.341 C3 C7 C6 109.332
C3 C7 H15 126.200 C4 C1 C5 101.982
C4 C8 C9 109.332 C4 C8 H16 126.200
C5 C9 C8 109.332 C5 C9 H17 126.200
C6 C2 H10 128.016 C6 C7 H15 124.468
C7 C3 H11 128.016 C7 C6 H14 124.468
C8 C4 H12 128.016 C8 C9 H17 124.468
C9 C5 H13 128.016 C9 C8 H16 124.468
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.371      
2 C -0.080      
3 C -0.080      
4 C -0.080      
5 C -0.080      
6 C -0.172      
7 C -0.172      
8 C -0.172      
9 C -0.172      
10 H 0.177      
11 H 0.177      
12 H 0.177      
13 H 0.177      
14 H 0.168      
15 H 0.168      
16 H 0.168      
17 H 0.168      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.778 0.000 0.000
y 0.000 -51.778 0.000
z 0.000 0.000 -46.978
Traceless
 xyz
x -2.400 0.000 0.000
y 0.000 -2.400 0.000
z 0.000 0.000 4.801
Polar
3z2-r29.601
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 9.106 0.000 0.000
y 0.000 9.106 0.000
z 0.000 0.000 17.882


<r2> (average value of r2) Å2
<r2> 286.664
(<r2>)1/2 16.931