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

using model chemistry: PBEPBE/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 PBEPBE/6-31G**
 hartrees
Energy at 0K-347.241575
Energy at 298.15K-347.249205
HF Energy-347.241575
Nuclear repulsion energy394.325190
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 PBEPBE/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 3189 3145 0.00      
2 A1 3158 3115 0.00      
3 A1 1538 1517 0.00      
4 A1 1358 1340 0.00      
5 A1 1076 1061 0.00      
6 A1 999 986 0.00      
7 A1 846 835 0.00      
8 A1 428 422 0.00      
9 A2 903 891 0.00      
10 A2 692 683 0.00      
11 A2 509 502 0.00      
12 B1 909 897 0.00      
13 B1 741 731 0.00      
14 B1 603 595 0.00      
15 B1 211 208 0.00      
16 B2 3186 3143 12.04      
17 B2 3157 3114 18.73      
18 B2 1518 1498 8.94      
19 B2 1359 1340 2.44      
20 B2 1171 1155 7.27      
21 B2 1033 1018 9.92      
22 B2 976 963 22.04      
23 B2 804 793 9.10      
24 E 3183 3140 10.39      
24 E 3183 3140 10.39      
25 E 3146 3102 6.88      
25 E 3146 3102 6.88      
26 E 1600 1579 0.06      
26 E 1600 1579 0.06      
27 E 1259 1242 1.22      
27 E 1259 1242 1.22      
28 E 1116 1101 0.00      
28 E 1116 1101 0.00      
29 E 1055 1041 9.20      
29 E 1055 1041 9.20      
30 E 907 894 0.03      
30 E 907 894 0.03      
31 E 790 779 2.72      
31 E 790 779 2.72      
32 E 738 728 58.79      
32 E 738 728 58.79      
33 E 502 495 1.19      
33 E 502 495 1.19      
34 E 101 100 0.74      
34 E 101 100 0.74      

Unscaled Zero Point Vibrational Energy (zpe) 29578.6 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 29173.3 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 PBEPBE/6-31G**
ABC
0.13977 0.04375 0.04375

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/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 1.185 0.956
C3 0.000 -1.185 0.956
C4 1.185 0.000 -0.956
C5 -1.185 0.000 -0.956
C6 0.000 0.736 2.236
C7 0.000 -0.736 2.236
C8 0.736 0.000 -2.236
C9 -0.736 0.000 -2.236
H10 0.000 2.218 0.607
H11 0.000 -2.218 0.607
H12 2.218 0.000 -0.607
H13 -2.218 0.000 -0.607
H14 0.000 1.357 3.135
H15 0.000 -1.357 3.135
H16 1.357 0.000 -3.135
H17 -1.357 0.000 -3.135

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52271.52271.52271.52272.35412.35412.35412.35412.29952.29952.29952.29953.41593.41593.41593.4159
C21.52272.36982.54302.54301.35652.30783.48393.48391.09043.42072.96102.96102.18533.34764.47034.4703
C31.52272.36982.54302.54302.30781.35653.48393.48393.42071.09042.96102.96103.34762.18534.47034.4703
C41.52272.54302.54302.36983.48393.48391.35652.30782.96102.96101.09043.42074.47034.47032.18533.3476
C51.52272.54302.54302.36983.48393.48392.30781.35652.96102.96103.42071.09044.47034.47033.34762.1853
C62.35411.35652.30783.48393.48391.47104.59184.59182.20263.37293.68033.68031.09252.27715.58845.5884
C72.35412.30781.35653.48393.48391.47104.59184.59183.37292.20263.68033.68032.27711.09255.58845.5884
C82.35413.48393.48391.35652.30784.59184.59181.47103.68033.68032.20263.37295.58845.58841.09252.2771
C92.35413.48393.48392.30781.35654.59184.59181.47103.68033.68033.37292.20265.58845.58842.27711.0925
H102.29951.09043.42072.96102.96102.20263.37293.68033.68034.43573.36343.36342.67044.37814.55664.5566
H112.29953.42071.09042.96102.96103.37292.20263.68033.68034.43573.36343.36344.37812.67044.55664.5566
H122.29952.96102.96101.09043.42073.68033.68032.20263.37293.36343.36344.43574.55664.55662.67044.3781
H132.29952.96102.96103.42071.09043.68033.68033.37292.20263.36343.36344.43574.55664.55664.37812.6704
H143.41592.18533.34764.47034.47031.09252.27715.58845.58842.67044.37814.55664.55662.71366.55686.5568
H153.41593.34762.18534.47034.47032.27711.09255.58845.58844.37812.67044.55664.55662.71366.55686.5568
H163.41594.47034.47032.18533.34765.58845.58841.09252.27714.55664.55662.67044.37816.55686.55682.7136
H173.41594.47034.47033.34762.18535.58845.58842.27711.09254.55664.55664.37812.67046.55686.55682.7136

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 109.559 C1 C2 H10 122.411
C1 C3 C7 109.559 C1 C3 H11 122.411
C1 C4 C8 109.559 C1 C4 H12 122.411
C1 C5 C9 109.559 C1 C5 H13 122.411
C2 C1 C3 102.185 C2 C1 C4 113.233
C2 C1 C5 113.233 C2 C6 C7 109.348
C2 C6 H14 125.992 C3 C1 C4 113.233
C3 C1 C5 113.233 C3 C7 C6 109.348
C3 C7 H15 125.992 C4 C1 C5 102.185
C4 C8 C9 109.348 C4 C8 H16 125.992
C5 C9 C8 109.348 C5 C9 H17 125.992
C6 C2 H10 128.029 C6 C7 H15 124.660
C7 C3 H11 128.029 C7 C6 H14 124.660
C8 C4 H12 128.029 C8 C9 H17 124.660
C9 C5 H13 128.029 C9 C8 H16 124.660
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.184      
2 C -0.054      
3 C -0.054      
4 C -0.054      
5 C -0.054      
6 C -0.104      
7 C -0.104      
8 C -0.104      
9 C -0.104      
10 H 0.107      
11 H 0.107      
12 H 0.107      
13 H 0.107      
14 H 0.097      
15 H 0.097      
16 H 0.097      
17 H 0.097      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.477 0.000 0.000
y 0.000 -51.477 0.000
z 0.000 0.000 -47.204
Traceless
 xyz
x -2.136 0.000 0.000
y 0.000 -2.136 0.000
z 0.000 0.000 4.273
Polar
3z2-r28.546
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 9.809 0.000 0.000
y 0.000 9.809 0.000
z 0.000 0.000 18.819


<r2> (average value of r2) Å2
<r2> 287.735
(<r2>)1/2 16.963