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

using model chemistry: B3PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at B3PW91/6-31+G**
 hartrees
Energy at 0K-347.578832
Energy at 298.15K-347.586735
HF Energy-347.578832
Nuclear repulsion energy396.097159
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 B3PW91/6-31+G**
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 3260 3130 0.00      
2 A1 3232 3103 0.00      
3 A1 1589 1525 0.00      
4 A1 1396 1341 0.00      
5 A1 1108 1064 0.00      
6 A1 1017 976 0.00      
7 A1 869 834 0.00      
8 A1 439 422 0.00      
9 A2 947 909 0.00      
10 A2 723 695 0.00      
11 A2 524 503 0.00      
12 B1 952 914 0.00      
13 B1 776 745 0.00      
14 B1 617 592 0.00      
15 B1 218 209 0.00      
16 B2 3258 3128 12.06      
17 B2 3232 3103 15.30      
18 B2 1569 1506 14.36      
19 B2 1398 1342 0.73      
20 B2 1205 1157 6.66      
21 B2 1061 1018 11.04      
22 B2 997 957 23.29      
23 B2 825 792 9.67      
24 E 3255 3125 8.72      
24 E 3255 3125 8.72      
25 E 3220 3092 5.56      
25 E 3220 3092 5.56      
26 E 1648 1582 0.14      
26 E 1648 1582 0.14      
27 E 1300 1248 0.69      
27 E 1300 1248 0.69      
28 E 1152 1106 0.06      
28 E 1152 1106 0.06      
29 E 1089 1045 14.40      
29 E 1089 1045 14.40      
30 E 955 917 0.00      
30 E 955 917 0.00      
31 E 812 779 1.82      
31 E 812 779 1.82      
32 E 757 727 93.41      
32 E 757 727 93.41      
33 E 514 494 2.29      
33 E 514 494 2.29      
34 E 112 108 0.90      
34 E 112 108 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 30419.0 cm-1
Scaled (by 0.9601) Zero Point Vibrational Energy (zpe) 29205.3 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 B3PW91/6-31+G**
ABC
0.14092 0.04411 0.04411

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31+G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.179 0.954
C3 0.000 -1.179 0.954
C4 1.179 0.000 -0.954
C5 -1.179 0.000 -0.954
C6 0.000 0.734 2.226
C7 0.000 -0.734 2.226
C8 0.734 0.000 -2.226
C9 -0.734 0.000 -2.226
H10 0.000 2.207 0.612
H11 0.000 -2.207 0.612
H12 2.207 0.000 -0.612
H13 -2.207 0.000 -0.612
H14 0.000 1.353 3.118
H15 0.000 -1.353 3.118
H16 1.353 0.000 -3.118
H17 -1.353 0.000 -3.118

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51701.51701.51701.51702.34442.34442.34442.34442.29012.29012.29012.29013.39873.39873.39873.3987
C21.51702.35822.53472.53471.34742.29763.47093.47091.08353.40332.95182.95182.17053.33024.45024.4502
C31.51702.35822.53472.53472.29761.34743.47093.47093.40331.08352.95182.95183.33022.17054.45024.4502
C41.51702.53472.53472.35823.47093.47091.34742.29762.95182.95181.08353.40334.45024.45022.17053.3302
C51.51702.53472.53472.35823.47093.47092.29761.34742.95182.95183.40331.08354.45024.45023.33022.1705
C62.34441.34742.29763.47093.47091.46874.57234.57232.18533.35543.66933.66931.08502.26955.56165.5616
C72.34442.29761.34743.47093.47091.46874.57234.57233.35542.18533.66933.66932.26951.08505.56165.5616
C82.34443.47093.47091.34742.29764.57234.57231.46873.66933.66932.18533.35545.56165.56161.08502.2695
C92.34443.47093.47092.29761.34744.57234.57231.46873.66933.66933.35542.18535.56165.56162.26951.0850
H102.29011.08353.40332.95182.95182.18533.35543.66933.66934.41383.35223.35222.64794.35344.53984.5398
H112.29013.40331.08352.95182.95183.35542.18533.66933.66934.41383.35223.35224.35342.64794.53984.5398
H122.29012.95182.95181.08353.40333.66933.66932.18533.35543.35223.35224.41384.53984.53982.64794.3534
H132.29012.95182.95183.40331.08353.66933.66933.35542.18533.35223.35224.41384.53984.53984.35342.6479
H143.39872.17053.33024.45024.45021.08502.26955.56165.56162.64794.35344.53984.53982.70536.52286.5228
H153.39873.33022.17054.45024.45022.26951.08505.56165.56164.35342.64794.53984.53982.70536.52286.5228
H163.39874.45024.45022.17053.33025.56165.56161.08502.26954.53984.53982.64794.35346.52286.52282.7053
H173.39874.45024.45023.33022.17055.56165.56162.26951.08504.53984.53984.35342.64796.52286.52282.7053

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 109.718 C1 C2 H10 122.564
C1 C3 C7 109.718 C1 C3 H11 122.564
C1 C4 C8 109.718 C1 C4 H12 122.564
C1 C5 C9 109.718 C1 C5 H13 122.564
C2 C1 C3 102.020 C2 C1 C4 113.320
C2 C1 C5 113.320 C2 C6 C7 109.272
C2 C6 H14 125.989 C3 C1 C4 113.320
C3 C1 C5 113.320 C3 C7 C6 109.272
C3 C7 H15 125.989 C4 C1 C5 102.020
C4 C8 C9 109.272 C4 C8 H16 125.989
C5 C9 C8 109.272 C5 C9 H17 125.989
C6 C2 H10 127.718 C6 C7 H15 124.739
C7 C3 H11 127.718 C7 C6 H14 124.739
C8 C4 H12 127.718 C8 C9 H17 124.739
C9 C5 H13 127.718 C9 C8 H16 124.739
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.658      
2 C -0.367      
3 C -0.367      
4 C -0.367      
5 C -0.367      
6 C -0.106      
7 C -0.106      
8 C -0.106      
9 C -0.106      
10 H 0.157      
11 H 0.157      
12 H 0.157      
13 H 0.157      
14 H 0.151      
15 H 0.151      
16 H 0.151      
17 H 0.151      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.899 0.000 0.000
y 0.000 -52.899 0.000
z 0.000 0.000 -47.486
Traceless
 xyz
x -2.706 0.000 0.000
y 0.000 -2.706 0.000
z 0.000 0.000 5.413
Polar
3z2-r210.826
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 11.903 0.000 0.000
y 0.000 11.903 0.000
z 0.000 0.000 19.670


<r2> (average value of r2) Å2
<r2> 286.233
(<r2>)1/2 16.918