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

using model chemistry: BLYP/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 BLYP/6-31G**
 hartrees
Energy at 0K-347.529676
Energy at 298.15K-347.537329
HF Energy-347.529676
Nuclear repulsion energy392.598361
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 BLYP/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 3169 3145 0.00      
2 A1 3138 3114 0.00      
3 A1 1521 1510 0.00      
4 A1 1359 1349 0.00      
5 A1 1085 1077 0.00      
6 A1 980 973 0.00      
7 A1 834 828 0.00      
8 A1 425 422 0.00      
9 A2 906 899 0.00      
10 A2 695 689 0.00      
11 A2 509 505 0.00      
12 B1 913 906 0.00      
13 B1 744 738 0.00      
14 B1 603 598 0.00      
15 B1 212 211 0.00      
16 B2 3166 3142 14.43      
17 B2 3137 3113 29.77      
18 B2 1500 1489 8.20      
19 B2 1356 1346 2.16      
20 B2 1159 1150 4.28      
21 B2 1025 1017 10.47      
22 B2 960 953 17.11      
23 B2 801 795 10.96      
24 E 3163 3139 17.53      
24 E 3163 3139 17.53      
25 E 3126 3102 8.00      
25 E 3126 3102 8.00      
26 E 1589 1577 0.01      
26 E 1589 1577 0.01      
27 E 1267 1257 0.97      
27 E 1267 1257 0.97      
28 E 1111 1102 0.20      
28 E 1111 1102 0.20      
29 E 1044 1036 8.52      
29 E 1044 1036 8.52      
30 E 910 903 0.00      
30 E 910 903 0.00      
31 E 791 785 1.23      
31 E 791 785 1.23      
32 E 738 733 50.37      
32 E 738 733 50.37      
33 E 500 496 0.89      
33 E 500 496 0.89      
34 E 112 111 0.61      
34 E 112 111 0.61      

Unscaled Zero Point Vibrational Energy (zpe) 29450.3 cm-1
Scaled (by 0.9923) Zero Point Vibrational Energy (zpe) 29223.5 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 BLYP/6-31G**
ABC
0.13863 0.04326 0.04326

See section I.F.4 to change rotational constant units
Geometric Data calculated at BLYP/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 1.190 0.967
C3 0.000 -1.190 0.967
C4 1.190 0.000 -0.967
C5 -1.190 0.000 -0.967
C6 0.000 0.739 2.248
C7 0.000 -0.739 2.248
C8 0.739 0.000 -2.248
C9 -0.739 0.000 -2.248
H10 0.000 2.224 0.622
H11 0.000 -2.224 0.622
H12 2.224 0.000 -0.622
H13 -2.224 0.000 -0.622
H14 0.000 1.358 3.147
H15 0.000 -1.358 3.147
H16 1.358 0.000 -3.147
H17 -1.358 0.000 -3.147

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53381.53381.53381.53382.36622.36622.36622.36622.30902.30902.30902.30903.42753.42753.42753.4275
C21.53382.38062.56442.56441.35762.31583.50713.50711.08933.43122.98122.98122.18613.35334.49314.4931
C31.53382.38062.56442.56442.31581.35763.50713.50713.43121.08932.98122.98123.35332.18614.49314.4931
C41.53382.56442.56442.38063.50713.50711.35762.31582.98122.98121.08933.43124.49314.49312.18613.3533
C51.53382.56442.56442.38063.50713.50712.31581.35762.98122.98123.43121.08934.49314.49313.35332.1861
C62.36621.35762.31583.50713.50711.47854.61554.61552.20123.37933.70523.70521.09152.28185.61205.6120
C72.36622.31581.35763.50713.50711.47854.61554.61553.37932.20123.70523.70522.28181.09155.61205.6120
C82.36623.50713.50711.35762.31584.61554.61551.47853.70523.70522.20123.37935.61205.61201.09152.2818
C92.36623.50713.50712.31581.35764.61554.61551.47853.70523.70523.37932.20125.61205.61202.28181.0915
H102.30901.08933.43122.98122.98122.20123.37933.70523.70524.44703.38193.38192.66894.38184.58214.5821
H112.30903.43121.08932.98122.98123.37932.20123.70523.70524.44703.38193.38194.38182.66894.58214.5821
H122.30902.98122.98121.08933.43123.70523.70522.20123.37933.38193.38194.44704.58214.58212.66894.3818
H132.30902.98122.98123.43121.08933.70523.70523.37932.20123.38193.38194.44704.58214.58214.38182.6689
H143.42752.18613.35334.49314.49311.09152.28185.61205.61202.66894.38184.58214.58212.71596.58046.5804
H153.42753.35332.18614.49314.49312.28181.09155.61205.61204.38182.66894.58214.58212.71596.58046.5804
H163.42754.49314.49312.18613.35335.61205.61201.09152.28184.58214.58212.66894.38186.58046.58042.7159
H173.42754.49314.49313.35332.18615.61205.61202.28181.09154.58214.58214.38182.66896.58046.58042.7159

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 109.694 C1 C2 H10 122.439
C1 C3 C7 109.694 C1 C3 H11 122.439
C1 C4 C8 109.694 C1 C4 H12 122.439
C1 C5 C9 109.694 C1 C5 H13 122.439
C2 C1 C3 101.802 C2 C1 C4 113.437
C2 C1 C5 113.437 C2 C6 C7 109.405
C2 C6 H14 126.065 C3 C1 C4 113.437
C3 C1 C5 113.437 C3 C7 C6 109.405
C3 C7 H15 126.065 C4 C1 C5 101.802
C4 C8 C9 109.405 C4 C8 H16 126.065
C5 C9 C8 109.405 C5 C9 H17 126.065
C6 C2 H10 127.867 C6 C7 H15 124.530
C7 C3 H11 127.867 C7 C6 H14 124.530
C8 C4 H12 127.867 C8 C9 H17 124.530
C9 C5 H13 127.867 C9 C8 H16 124.530
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.084      
2 C -0.042      
3 C -0.042      
4 C -0.042      
5 C -0.042      
6 C -0.064      
7 C -0.064      
8 C -0.064      
9 C -0.064      
10 H 0.068      
11 H 0.068      
12 H 0.068      
13 H 0.068      
14 H 0.059      
15 H 0.059      
16 H 0.059      
17 H 0.059      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.795 0.000 0.000
y 0.000 -51.795 0.000
z 0.000 0.000 -47.847
Traceless
 xyz
x -1.974 0.000 0.000
y 0.000 -1.974 0.000
z 0.000 0.000 3.949
Polar
3z2-r27.898
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 9.826 0.000 0.000
y 0.000 9.826 0.000
z 0.000 0.000 18.913


<r2> (average value of r2) Å2
<r2> 290.680
(<r2>)1/2 17.049