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

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-347.618948
Energy at 298.15K-347.626898
HF Energy-347.618948
Nuclear repulsion energy397.040297
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 mPW1PW91/6-31G**
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 3282 3123 0.00      
2 A1 3253 3095 0.00      
3 A1 1614 1535 0.00      
4 A1 1411 1342 0.00      
5 A1 1116 1062 0.00      
6 A1 1026 976 0.00      
7 A1 876 834 0.00      
8 A1 443 422 0.00      
9 A2 958 912 0.00      
10 A2 734 699 0.00      
11 A2 529 503 0.00      
12 B1 963 917 0.00      
13 B1 784 746 0.00      
14 B1 626 595 0.00      
15 B1 220 209 0.00      
16 B2 3280 3121 12.82      
17 B2 3252 3094 15.52      
18 B2 1595 1518 8.92      
19 B2 1415 1346 0.55      
20 B2 1218 1159 6.75      
21 B2 1069 1017 10.45      
22 B2 1005 957 20.03      
23 B2 832 792 8.67      
24 E 3276 3117 10.12      
24 E 3276 3117 10.12      
25 E 3240 3083 6.21      
25 E 3240 3083 6.21      
26 E 1676 1594 0.13      
26 E 1676 1594 0.13      
27 E 1313 1249 0.87      
27 E 1313 1249 0.87      
28 E 1164 1108 0.29      
28 E 1164 1108 0.29      
29 E 1100 1047 10.10      
29 E 1100 1047 10.10      
30 E 964 917 0.00      
30 E 964 917 0.00      
31 E 816 777 2.23      
31 E 816 777 2.23      
32 E 770 733 67.74      
32 E 770 733 67.74      
33 E 520 494 1.71      
33 E 520 494 1.71      
34 E 108 103 0.83      
34 E 108 103 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 30697.3 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 29208.5 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 mPW1PW91/6-31G**
ABC
0.14146 0.04434 0.04434

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

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.177 0.952
C3 0.000 -1.177 0.952
C4 1.177 0.000 -0.952
C5 -1.177 0.000 -0.952
C6 0.000 0.733 2.220
C7 0.000 -0.733 2.220
C8 0.733 0.000 -2.220
C9 -0.733 0.000 -2.220
H10 0.000 2.202 0.609
H11 0.000 -2.202 0.609
H12 2.202 0.000 -0.609
H13 -2.202 0.000 -0.609
H14 0.000 1.350 3.111
H15 0.000 -1.350 3.111
H16 1.350 0.000 -3.111
H17 -1.350 0.000 -3.111

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51371.51371.51371.51372.33802.33802.33802.33802.28482.28482.28482.28483.39103.39103.39103.3910
C21.51372.35332.52902.52901.34312.29253.46203.46201.08153.39632.94462.94462.16563.32294.44024.4402
C31.51372.35332.52902.52902.29251.34313.46203.46203.39631.08152.94462.94463.32292.16564.44024.4402
C41.51372.52902.52902.35333.46203.46201.34312.29252.94462.94461.08153.39634.44024.44022.16563.3229
C51.51372.52902.52902.35333.46203.46202.29251.34312.94462.94463.39631.08154.44024.44023.32292.1656
C62.33801.34312.29253.46203.46201.46684.55964.55962.18033.34883.65913.65911.08322.26555.54785.5478
C72.33802.29251.34313.46203.46201.46684.55964.55963.34882.18033.65913.65912.26551.08325.54785.5478
C82.33803.46203.46201.34312.29254.55964.55961.46683.65913.65912.18033.34885.54785.54781.08322.2655
C92.33803.46203.46202.29251.34314.55964.55961.46683.65913.65913.34882.18035.54785.54782.26551.0832
H102.28481.08153.39632.94462.94462.18033.34883.65913.65914.40443.34383.34382.64354.34474.52844.5284
H112.28483.39631.08152.94462.94463.34882.18033.65913.65914.40443.34383.34384.34472.64354.52844.5284
H122.28482.94462.94461.08153.39633.65913.65912.18033.34883.34383.34384.40444.52844.52842.64354.3447
H132.28482.94462.94463.39631.08153.65913.65913.34882.18033.34383.34384.40444.52844.52844.34472.6435
H143.39102.16563.32294.44024.44021.08322.26555.54785.54782.64354.34474.52844.52842.69926.50806.5080
H153.39103.32292.16564.44024.44022.26551.08325.54785.54784.34472.64354.52844.52842.69926.50806.5080
H163.39104.44024.44022.16563.32295.54785.54781.08322.26554.52844.52842.64354.34476.50806.50802.6992
H173.39104.44024.44023.32292.16565.54785.54782.26551.08324.52844.52844.34472.64356.50806.50802.6992

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 109.710 C1 C2 H10 122.497
C1 C3 C7 109.710 C1 C3 H11 122.497
C1 C4 C8 109.710 C1 C4 H12 122.497
C1 C5 C9 109.710 C1 C5 H13 122.497
C2 C1 C3 102.036 C2 C1 C4 113.312
C2 C1 C5 113.312 C2 C6 C7 109.271
C2 C6 H14 126.059 C3 C1 C4 113.312
C3 C1 C5 113.312 C3 C7 C6 109.271
C3 C7 H15 126.059 C4 C1 C5 102.036
C4 C8 C9 109.271 C4 C8 H16 126.059
C5 C9 C8 109.271 C5 C9 H17 126.059
C6 C2 H10 127.793 C6 C7 H15 124.670
C7 C3 H11 127.793 C7 C6 H14 124.670
C8 C4 H12 127.793 C8 C9 H17 124.670
C9 C5 H13 127.793 C9 C8 H16 124.670
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.224      
2 C -0.073      
3 C -0.073      
4 C -0.073      
5 C -0.073      
6 C -0.132      
7 C -0.132      
8 C -0.132      
9 C -0.132      
10 H 0.136      
11 H 0.136      
12 H 0.136      
13 H 0.136      
14 H 0.126      
15 H 0.126      
16 H 0.126      
17 H 0.126      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.276 0.000 0.000
y 0.000 -51.276 0.000
z 0.000 0.000 -46.610
Traceless
 xyz
x -2.333 0.000 0.000
y 0.000 -2.333 0.000
z 0.000 0.000 4.667
Polar
3z2-r29.333
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 9.424 0.000 0.000
y 0.000 9.424 0.000
z 0.000 0.000 18.095


<r2> (average value of r2) Å2
<r2> 284.117
(<r2>)1/2 16.856