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

using model chemistry: mPW1PW91/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-343.405961
Energy at 298.15K-343.413564
HF Energy-343.405961
Nuclear repulsion energy392.630233
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 mPW1PW91/STO-3G
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 3555 3125 0.00      
2 A1 3520 3094 0.00      
3 A1 1726 1517 0.00      
4 A1 1505 1322 0.00      
5 A1 1182 1039 0.00      
6 A1 1079 948 0.00      
7 A1 920 809 0.00      
8 A1 462 406 0.00      
9 A2 1017 893 0.00      
10 A2 794 698 0.00      
11 A2 556 489 0.00      
12 B1 1020 896 0.00      
13 B1 830 730 0.00      
14 B1 648 569 0.00      
15 B1 225 198 0.00      
16 B2 3555 3125 0.13      
17 B2 3520 3094 57.65      
18 B2 1721 1513 11.87      
19 B2 1517 1333 0.00      
20 B2 1293 1136 15.50      
21 B2 1139 1001 7.06      
22 B2 1058 930 0.45      
23 B2 877 771 6.00      
24 E 3546 3117 8.49      
24 E 3546 3117 8.49      
25 E 3510 3085 8.44      
25 E 3510 3085 8.44      
26 E 1807 1588 3.50      
26 E 1807 1588 3.50      
27 E 1400 1230 1.18      
27 E 1400 1230 1.18      
28 E 1240 1090 0.09      
28 E 1240 1090 0.09      
29 E 1169 1027 1.02      
29 E 1169 1027 1.02      
30 E 1026 902 0.04      
30 E 1026 902 0.04      
31 E 861 757 0.28      
31 E 861 757 0.28      
32 E 802 705 34.17      
32 E 802 705 34.17      
33 E 533 469 0.83      
33 E 533 469 0.83      
34 E 123 108 0.75      
34 E 123 108 0.75      

Unscaled Zero Point Vibrational Energy (zpe) 32875.2 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 28894.0 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 mPW1PW91/STO-3G
ABC
0.13818 0.04326 0.04326

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.191 0.975
C3 0.000 -1.191 0.975
C4 1.191 0.000 -0.975
C5 -1.191 0.000 -0.975
C6 0.000 0.743 2.243
C7 0.000 -0.743 2.243
C8 0.743 0.000 -2.243
C9 -0.743 0.000 -2.243
H10 0.000 2.228 0.629
H11 0.000 -2.228 0.629
H12 2.228 0.000 -0.629
H13 -2.228 0.000 -0.629
H14 0.000 1.354 3.151
H15 0.000 -1.354 3.151
H16 1.354 0.000 -3.151
H17 -1.354 0.000 -3.151

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53901.53901.53901.53902.36282.36282.36282.36282.31502.31502.31502.31503.42923.42923.42923.4292
C21.53902.38222.57622.57621.34522.31293.51043.51041.09313.43662.99212.99212.18203.34864.50214.5021
C31.53902.38222.57622.57622.31291.34523.51043.51043.43661.09312.99212.99213.34862.18204.50214.5021
C41.53902.57622.57622.38223.51043.51041.34522.31292.99212.99211.09313.43664.50214.50212.18203.3486
C51.53902.57622.57622.38223.51043.51042.31291.34522.99212.99213.43661.09314.50214.50213.34862.1820
C62.36281.34522.31293.51043.51041.48594.60734.60732.19363.38133.70973.70971.09422.28505.61035.6103
C72.36282.31291.34523.51043.51041.48594.60734.60733.38132.19363.70973.70972.28501.09425.61035.6103
C82.36283.51043.51041.34522.31294.60734.60731.48593.70973.70972.19363.38135.61035.61031.09422.2850
C92.36283.51043.51042.31291.34524.60734.60731.48593.70973.70973.38132.19365.61035.61032.28501.0942
H102.31501.09313.43662.99212.99212.19363.38133.70973.70974.45613.39243.39242.66914.38094.59124.5912
H112.31503.43661.09312.99212.99213.38132.19363.70973.70974.45613.39243.39244.38092.66914.59124.5912
H122.31502.99212.99211.09313.43663.70973.70972.19363.38133.39243.39244.45614.59124.59122.66914.3809
H132.31502.99212.99213.43661.09313.70973.70973.38132.19363.39243.39244.45614.59124.59124.38092.6691
H143.42922.18203.34864.50214.50211.09422.28505.61035.61032.66914.38094.59124.59122.70826.58566.5856
H153.42923.34862.18204.50214.50212.28501.09425.61035.61034.38092.66914.59124.59122.70826.58566.5856
H163.42924.50214.50212.18203.34865.61035.61031.09422.28504.59124.59122.66914.38096.58566.58562.7082
H173.42924.50214.50213.34862.18205.61035.61032.28501.09424.59124.59124.38092.66916.58566.58562.7082

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 109.829 C1 C2 H10 122.256
C1 C3 C7 109.829 C1 C3 H11 122.256
C1 C4 C8 109.829 C1 C4 H12 122.256
C1 C5 C9 109.829 C1 C5 H13 122.256
C2 C1 C3 101.420 C2 C1 C4 113.641
C2 C1 C5 113.641 C2 C6 C7 109.460
C2 C6 H14 126.583 C3 C1 C4 113.641
C3 C1 C5 113.641 C3 C7 C6 109.460
C3 C7 H15 126.583 C4 C1 C5 101.420
C4 C8 C9 109.460 C4 C8 H16 126.583
C5 C9 C8 109.460 C5 C9 H17 126.583
C6 C2 H10 127.914 C6 C7 H15 123.957
C7 C3 H11 127.914 C7 C6 H14 123.957
C8 C4 H12 127.914 C8 C9 H17 123.957
C9 C5 H13 127.914 C9 C8 H16 123.957
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.000      
2 C -0.078      
3 C -0.078      
4 C -0.078      
5 C -0.078      
6 C -0.093      
7 C -0.093      
8 C -0.093      
9 C -0.093      
10 H 0.087      
11 H 0.087      
12 H 0.087      
13 H 0.087      
14 H 0.084      
15 H 0.084      
16 H 0.084      
17 H 0.084      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.054 0.000 0.000
y 0.000 -48.054 0.000
z 0.000 0.000 -45.479
Traceless
 xyz
x -1.288 0.000 0.000
y 0.000 -1.288 0.000
z 0.000 0.000 2.575
Polar
3z2-r25.150
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 5.266 0.000 0.000
y 0.000 5.266 0.000
z 0.000 0.000 11.799


<r2> (average value of r2) Å2
<r2> 288.784
(<r2>)1/2 16.994