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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/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-347.720832
Energy at 298.15K-347.728855
HF Energy-347.720832
Nuclear repulsion energy398.135305
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/cc-pVTZ
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 3257 3124 0.00      
2 A1 3229 3097 0.00      
3 A1 1597 1532 0.00      
4 A1 1400 1343 0.00      
5 A1 1110 1065 0.00      
6 A1 1018 976 0.00      
7 A1 876 840 0.00      
8 A1 444 426 0.00      
9 A2 966 926 0.00      
10 A2 731 701 0.00      
11 A2 532 510 0.00      
12 B1 971 932 0.00      
13 B1 784 752 0.00      
14 B1 626 600 0.00      
15 B1 220 211 0.00      
16 B2 3255 3122 11.31      
17 B2 3228 3096 12.68      
18 B2 1576 1512 11.00      
19 B2 1403 1345 0.22      
20 B2 1213 1164 7.22      
21 B2 1062 1019 9.75      
22 B2 997 956 23.23      
23 B2 834 800 8.73      
24 E 3251 3118 7.55      
24 E 3251 3118 7.55      
25 E 3217 3085 5.27      
25 E 3217 3085 5.27      
26 E 1657 1589 0.00      
26 E 1657 1589 0.00      
27 E 1307 1254 0.65      
27 E 1307 1254 0.65      
28 E 1156 1109 0.15      
28 E 1156 1109 0.15      
29 E 1092 1048 12.25      
29 E 1092 1048 12.25      
30 E 972 932 0.00      
30 E 972 932 0.00      
31 E 821 788 1.69      
31 E 821 788 1.69      
32 E 765 734 79.95      
32 E 765 734 79.95      
33 E 520 498 2.29      
33 E 520 498 2.29      
34 E 114 109 0.80      
34 E 114 109 0.80      

Unscaled Zero Point Vibrational Energy (zpe) 30533.3 cm-1
Scaled (by 0.9592) Zero Point Vibrational Energy (zpe) 29287.5 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 mPW1PW91/cc-pVTZ
ABC
0.14222 0.04457 0.04457

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.173 0.951
C3 0.000 -1.173 0.951
C4 1.173 0.000 -0.951
C5 -1.173 0.000 -0.951
C6 0.000 0.732 2.214
C7 0.000 -0.732 2.214
C8 0.732 0.000 -2.214
C9 -0.732 0.000 -2.214
H10 0.000 2.197 0.611
H11 0.000 -2.197 0.611
H12 2.197 0.000 -0.611
H13 -2.197 0.000 -0.611
H14 0.000 1.348 3.101
H15 0.000 -1.348 3.101
H16 1.348 0.000 -3.101
H17 -1.348 0.000 -3.101

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51021.51021.51021.51022.33182.33182.33182.33182.28002.28002.28002.28003.38163.38163.38163.3816
C21.51022.34592.52432.52431.33742.28533.45413.45411.07873.38662.93972.93972.15703.31334.42914.4291
C31.51022.34592.52432.52432.28531.33743.45413.45413.38661.07872.93972.93973.31332.15704.42914.4291
C41.51022.52432.52432.34593.45413.45411.33742.28532.93972.93971.07873.38664.42914.42912.15703.3133
C51.51022.52432.52432.34593.45413.45412.28531.33742.93972.93973.38661.07874.42914.42913.31332.1570
C62.33181.33742.28533.45413.45411.46394.54734.54732.17123.33853.65263.65261.08032.26145.53215.5321
C72.33182.28531.33743.45413.45411.46394.54734.54733.33852.17123.65263.65262.26141.08035.53215.5321
C82.33183.45413.45411.33742.28534.54734.54731.46393.65263.65262.17123.33855.53215.53211.08032.2614
C92.33183.45413.45412.28531.33744.54734.54731.46393.65263.65263.33852.17125.53215.53212.26141.0803
H102.28001.07873.38662.93972.93972.17123.33853.65263.65264.39323.33823.33822.63074.33204.51934.5193
H112.28003.38661.07872.93972.93973.33852.17123.65263.65264.39323.33823.33824.33202.63074.51934.5193
H122.28002.93972.93971.07873.38663.65263.65262.17123.33853.33823.33824.39324.51934.51932.63074.3320
H132.28002.93972.93973.38661.07873.65263.65263.33852.17123.33823.33824.39324.51934.51934.33202.6307
H143.38162.15703.31334.42914.42911.08032.26145.53215.53212.63074.33204.51934.51932.69636.48896.4889
H153.38163.31332.15704.42914.42912.26141.08035.53215.53214.33202.63074.51934.51932.69636.48896.4889
H163.38164.42914.42912.15703.31335.53215.53211.08032.26144.51934.51932.63074.33206.48896.48892.6963
H173.38164.42914.42913.31332.15705.53215.53212.26141.08034.51934.51934.33202.63076.48896.48892.6963

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 109.793 C1 C2 H10 122.567
C1 C3 C7 109.793 C1 C3 H11 122.567
C1 C4 C8 109.793 C1 C4 H12 122.567
C1 C5 C9 109.793 C1 C5 H13 122.567
C2 C1 C3 101.909 C2 C1 C4 113.380
C2 C1 C5 113.380 C2 C6 C7 109.252
C2 C6 H14 125.970 C3 C1 C4 113.380
C3 C1 C5 113.380 C3 C7 C6 109.252
C3 C7 H15 125.970 C4 C1 C5 101.909
C4 C8 C9 109.252 C4 C8 H16 125.970
C5 C9 C8 109.252 C5 C9 H17 125.970
C6 C2 H10 127.640 C6 C7 H15 124.778
C7 C3 H11 127.640 C7 C6 H14 124.778
C8 C4 H12 127.640 C8 C9 H17 124.778
C9 C5 H13 127.640 C9 C8 H16 124.778
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.160      
2 C -0.148      
3 C -0.148      
4 C -0.148      
5 C -0.148      
6 C -0.109      
7 C -0.109      
8 C -0.109      
9 C -0.109      
10 H 0.111      
11 H 0.111      
12 H 0.111      
13 H 0.111      
14 H 0.106      
15 H 0.106      
16 H 0.106      
17 H 0.106      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.338 0.000 0.000
y 0.000 -52.338 0.000
z 0.000 0.000 -47.268
Traceless
 xyz
x -2.535 0.000 0.000
y 0.000 -2.535 0.000
z 0.000 0.000 5.070
Polar
3z2-r210.140
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 11.131 0.000 0.000
y 0.000 11.131 0.000
z 0.000 0.000 19.176


<r2> (average value of r2) Å2
<r2> 283.404
(<r2>)1/2 16.835