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

using model chemistry: mPW1PW91/6-31+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 mPW1PW91/6-31+G**
 hartrees
Energy at 0K-347.630826
Energy at 298.15K-347.638777
HF Energy-347.630826
Nuclear repulsion energy396.710834
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 mPW1PW91/6-31+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 3279 3121 0.00      
2 A1 3252 3095 0.00      
3 A1 1603 1526 0.00      
4 A1 1405 1337 0.00      
5 A1 1114 1060 0.00      
6 A1 1023 974 0.00      
7 A1 875 833 0.00      
8 A1 442 421 0.00      
9 A2 956 910 0.00      
10 A2 730 695 0.00      
11 A2 527 502 0.00      
12 B1 961 915 0.00      
13 B1 783 746 0.00      
14 B1 621 591 0.00      
15 B1 219 208 0.00      
16 B2 3277 3119 11.92      
17 B2 3251 3094 13.37      
18 B2 1584 1508 14.45      
19 B2 1408 1340 0.54      
20 B2 1215 1156 6.81      
21 B2 1067 1016 10.87      
22 B2 1003 955 23.33      
23 B2 830 790 9.35      
24 E 3273 3116 7.92      
24 E 3273 3116 7.92      
25 E 3240 3084 5.25      
25 E 3240 3084 5.25      
26 E 1662 1582 0.13      
26 E 1662 1582 0.13      
27 E 1309 1246 0.63      
27 E 1309 1246 0.63      
28 E 1162 1106 0.20      
28 E 1162 1106 0.20      
29 E 1097 1044 14.49      
29 E 1097 1044 14.49      
30 E 964 918 0.00      
30 E 964 918 0.00      
31 E 816 777 1.95      
31 E 816 777 1.95      
32 E 763 727 95.74      
32 E 763 727 95.74      
33 E 517 492 2.44      
33 E 517 492 2.44      
34 E 112 106 0.92      
34 E 112 106 0.92      

Unscaled Zero Point Vibrational Energy (zpe) 30627.2 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 29151.0 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 mPW1PW91/6-31+G**
ABC
0.14129 0.04426 0.04426

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.177 0.953
C3 0.000 -1.177 0.953
C4 1.177 0.000 -0.953
C5 -1.177 0.000 -0.953
C6 0.000 0.734 2.223
C7 0.000 -0.734 2.223
C8 0.734 0.000 -2.223
C9 -0.734 0.000 -2.223
H10 0.000 2.204 0.610
H11 0.000 -2.204 0.610
H12 2.204 0.000 -0.610
H13 -2.204 0.000 -0.610
H14 0.000 1.351 3.113
H15 0.000 -1.351 3.113
H16 1.351 0.000 -3.113
H17 -1.351 0.000 -3.113

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51451.51451.51451.51452.34052.34052.34052.34052.28652.28652.28652.28653.39343.39343.39343.3934
C21.51452.35472.53022.53021.34522.29463.46503.46501.08203.39832.94692.94692.16713.32574.44284.4428
C31.51452.35472.53022.53022.29461.34523.46503.46503.39831.08202.94692.94693.32572.16714.44284.4428
C41.51452.53022.53022.35473.46503.46501.34522.29462.94692.94691.08203.39834.44284.44282.16713.3257
C51.51452.53022.53022.35473.46503.46502.29461.34522.94692.94693.39831.08204.44284.44283.32572.1671
C62.34051.34522.29463.46503.46501.46764.56464.56462.18203.35103.66303.66301.08342.26715.55245.5524
C72.34052.29461.34523.46503.46501.46764.56464.56463.35102.18203.66303.66302.26711.08345.55245.5524
C82.34053.46503.46501.34522.29464.56464.56461.46763.66303.66302.18203.35105.55245.55241.08342.2671
C92.34053.46503.46502.29461.34524.56464.56461.46763.66303.66303.35102.18205.55245.55242.26711.0834
H102.28651.08203.39832.94692.94692.18203.35103.66303.66304.40743.34673.34672.64394.34764.53224.5322
H112.28653.39831.08202.94692.94693.35102.18203.66303.66304.40743.34673.34674.34762.64394.53224.5322
H122.28652.94692.94691.08203.39833.66303.66302.18203.35103.34673.34674.40744.53224.53222.64394.3476
H132.28652.94692.94693.39831.08203.66303.66303.35102.18203.34673.34674.40744.53224.53224.34762.6439
H143.39342.16713.32574.44284.44281.08342.26715.55245.55242.64394.34764.53224.53222.70266.51216.5121
H153.39343.32572.16714.44284.44282.26711.08345.55245.55244.34762.64394.53224.53222.70266.51216.5121
H163.39344.44284.44282.16713.32575.55245.55241.08342.26714.53224.53222.64394.34766.51216.51212.7026
H173.39344.44284.44283.32572.16715.55245.55242.26711.08344.53224.53224.34762.64396.51216.51212.7026

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 109.723 C1 C2 H10 122.564
C1 C3 C7 109.723 C1 C3 H11 122.564
C1 C4 C8 109.723 C1 C4 H12 122.564
C1 C5 C9 109.723 C1 C5 H13 122.564
C2 C1 C3 102.047 C2 C1 C4 113.306
C2 C1 C5 113.306 C2 C6 C7 109.253
C2 C6 H14 125.998 C3 C1 C4 113.306
C3 C1 C5 113.306 C3 C7 C6 109.253
C3 C7 H15 125.998 C4 C1 C5 102.047
C4 C8 C9 109.253 C4 C8 H16 125.998
C5 C9 C8 109.253 C5 C9 H17 125.998
C6 C2 H10 127.713 C6 C7 H15 124.749
C7 C3 H11 127.713 C7 C6 H14 124.749
C8 C4 H12 127.713 C8 C9 H17 124.749
C9 C5 H13 127.713 C9 C8 H16 124.749
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.716      
2 C -0.377      
3 C -0.377      
4 C -0.377      
5 C -0.377      
6 C -0.127      
7 C -0.127      
8 C -0.127      
9 C -0.127      
10 H 0.165      
11 H 0.165      
12 H 0.165      
13 H 0.165      
14 H 0.160      
15 H 0.160      
16 H 0.160      
17 H 0.160      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.952 0.000 0.000
y 0.000 -52.952 0.000
z 0.000 0.000 -47.424
Traceless
 xyz
x -2.764 0.000 0.000
y 0.000 -2.764 0.000
z 0.000 0.000 5.527
Polar
3z2-r211.055
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 11.826 0.000 0.000
y 0.000 11.826 0.000
z 0.000 0.000 19.555


<r2> (average value of r2) Å2
<r2> 285.415
(<r2>)1/2 16.894