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

using model chemistry: M06-2X/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-345.625183
Energy at 298.15K-345.633239
HF Energy-345.625183
Nuclear repulsion energy394.995254
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 M06-2X/3-21G*
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 3309 3134 0.00      
2 A1 3279 3106 0.00      
3 A1 1596 1512 0.00      
4 A1 1403 1329 0.00      
5 A1 1149 1088 0.00      
6 A1 987 935 0.00      
7 A1 882 835 0.00      
8 A1 449 425 0.00      
9 A2 1025 970 0.00      
10 A2 785 744 0.00      
11 A2 541 513 0.00      
12 B1 1030 975 0.00      
13 B1 832 788 0.00      
14 B1 638 604 0.00      
15 B1 238 226 0.00      
16 B2 3308 3133 12.40      
17 B2 3278 3105 0.01      
18 B2 1576 1492 9.61      
19 B2 1405 1331 0.29      
20 B2 1236 1171 6.43      
21 B2 1091 1033 19.75      
22 B2 971 919 10.69      
23 B2 855 810 11.78      
24 E 3296 3122 6.13      
24 E 3296 3122 6.13      
25 E 3273 3100 1.35      
25 E 3273 3100 1.35      
26 E 1656 1569 1.12      
26 E 1656 1569 1.12      
27 E 1339 1268 1.33      
27 E 1339 1268 1.33      
28 E 1173 1111 0.19      
28 E 1173 1111 0.19      
29 E 1100 1042 12.96      
29 E 1100 1042 12.96      
30 E 1024 970 0.43      
30 E 1024 970 0.43      
31 E 850 805 0.14      
31 E 850 805 0.14      
32 E 800 757 95.95      
32 E 800 757 95.95      
33 E 521 493 2.50      
33 E 521 493 2.50      
34 E 88 84 1.03      
34 E 88 84 1.03      

Unscaled Zero Point Vibrational Energy (zpe) 31050.2 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 29410.7 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 M06-2X/3-21G*
ABC
0.13891 0.04398 0.04398

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.188 0.957
C3 0.000 -1.188 0.957
C4 1.188 0.000 -0.957
C5 -1.188 0.000 -0.957
C6 0.000 0.745 2.226
C7 0.000 -0.745 2.226
C8 0.745 0.000 -2.226
C9 -0.745 0.000 -2.226
H10 0.000 2.207 0.602
H11 0.000 -2.207 0.602
H12 2.207 0.000 -0.602
H13 -2.207 0.000 -0.602
H14 0.000 1.352 3.120
H15 0.000 -1.352 3.120
H16 1.352 0.000 -3.120
H17 -1.352 0.000 -3.120

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52531.52531.52531.52532.34772.34772.34772.34772.28822.28822.28822.28823.40053.40053.40053.4005
C21.52532.37562.54642.54641.34472.31223.47833.47831.07953.41382.95212.95212.16953.33644.45664.4566
C31.52532.37562.54642.54642.31221.34473.47833.47833.41381.07952.95212.95213.33642.16954.45664.4566
C41.52532.54642.54642.37563.47833.47831.34472.31222.95212.95211.07953.41384.45664.45662.16953.3364
C51.52532.54642.54642.37563.47833.47832.31221.34472.95212.95213.41381.07954.45664.45663.33642.1695
C62.34771.34472.31223.47833.47831.48924.57574.57572.18583.36943.66463.66461.08062.27935.56495.5649
C72.34772.31221.34473.47833.47831.48924.57574.57573.36942.18583.66463.66462.27931.08065.56495.5649
C82.34773.47833.47831.34472.31224.57574.57571.48923.66463.66462.18583.36945.56495.56491.08062.2793
C92.34773.47833.47832.31221.34474.57574.57571.48923.66463.66463.36942.18585.56495.56492.27931.0806
H102.28821.07953.41382.95212.95212.18583.36943.66463.66464.41493.34623.34622.65914.36014.53404.5340
H112.28823.41381.07952.95212.95213.36942.18583.66463.66464.41493.34623.34624.36012.65914.53404.5340
H122.28822.95212.95211.07953.41383.66463.66462.18583.36943.34623.34624.41494.53404.53402.65914.3601
H132.28822.95212.95213.41381.07953.66463.66463.36942.18583.34623.34624.41494.53404.53404.36012.6591
H143.40052.16953.33644.45664.45661.08062.27935.56495.56492.65914.36014.53404.53402.70446.52666.5266
H153.40053.33642.16954.45664.45662.27931.08065.56495.56494.36012.65914.53404.53402.70446.52666.5266
H163.40054.45664.45662.16953.33645.56495.56491.08062.27934.53404.53402.65914.36016.52666.52662.7044
H173.40054.45664.45663.33642.16955.56495.56492.27931.08064.53404.53404.36012.65916.52666.52662.7044

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 109.610 C1 C2 H10 121.972
C1 C3 C7 109.610 C1 C3 H11 121.972
C1 C4 C8 109.610 C1 C4 H12 121.972
C1 C5 C9 109.610 C1 C5 H13 121.972
C2 C1 C3 102.293 C2 C1 C4 113.175
C2 C1 C5 113.175 C2 C6 C7 109.244
C2 C6 H14 126.546 C3 C1 C4 113.175
C3 C1 C5 113.175 C3 C7 C6 109.244
C3 C7 H15 126.546 C4 C1 C5 102.293
C4 C8 C9 109.244 C4 C8 H16 126.546
C5 C9 C8 109.244 C5 C9 H17 126.546
C6 C2 H10 128.418 C6 C7 H15 124.211
C7 C3 H11 128.418 C7 C6 H14 124.211
C8 C4 H12 128.418 C8 C9 H17 124.211
C9 C5 H13 128.418 C9 C8 H16 124.211
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.402      
2 C -0.103      
3 C -0.103      
4 C -0.103      
5 C -0.103      
6 C -0.219      
7 C -0.219      
8 C -0.219      
9 C -0.219      
10 H 0.216      
11 H 0.216      
12 H 0.216      
13 H 0.216      
14 H 0.207      
15 H 0.207      
16 H 0.207      
17 H 0.207      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.550 0.000 0.000
y 0.000 -52.550 0.000
z 0.000 0.000 -47.160
Traceless
 xyz
x -2.695 0.000 0.000
y 0.000 -2.695 0.000
z 0.000 0.000 5.390
Polar
3z2-r210.780
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 8.279 0.000 0.000
y 0.000 8.279 0.000
z 0.000 0.000 16.963


<r2> (average value of r2) Å2
<r2> 287.007
(<r2>)1/2 16.941