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

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-345.777708
Energy at 298.15K-345.785665
HF Energy-345.777708
Nuclear repulsion energy394.242814
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 B3LYP/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 3272 3157 0.00      
2 A1 3240 3126 0.00      
3 A1 1562 1508 0.00      
4 A1 1391 1342 0.00      
5 A1 1139 1099 0.00      
6 A1 974 940 0.00      
7 A1 868 838 0.00      
8 A1 443 427 0.00      
9 A2 970 936 0.00      
10 A2 741 715 0.00      
11 A2 533 515 0.00      
12 B1 975 941 0.00      
13 B1 786 758 0.00      
14 B1 633 611 0.00      
15 B1 231 223 0.00      
16 B2 3270 3156 14.72      
17 B2 3239 3125 10.07      
18 B2 1540 1486 8.08      
19 B2 1388 1339 0.05      
20 B2 1214 1172 4.57      
21 B2 1073 1035 16.77      
22 B2 956 922 13.51      
23 B2 845 815 15.06      
24 E 3264 3149 8.27      
24 E 3264 3149 8.27      
25 E 3228 3115 5.87      
25 E 3228 3115 5.87      
26 E 1628 1571 0.78      
26 E 1628 1571 0.78      
27 E 1329 1282 1.62      
27 E 1329 1282 1.62      
28 E 1155 1115 0.69      
28 E 1155 1115 0.69      
29 E 1074 1036 11.93      
29 E 1074 1036 11.93      
30 E 973 939 0.11      
30 E 973 939 0.11      
31 E 845 815 0.01      
31 E 845 815 0.01      
32 E 760 733 84.64      
32 E 760 733 84.64      
33 E 516 498 2.32      
33 E 516 498 2.32      
34 E 101 97 1.13      
34 E 101 97 1.13      

Unscaled Zero Point Vibrational Energy (zpe) 30512.2 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 29441.2 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 B3LYP/3-21G
ABC
0.13876 0.04373 0.04373

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/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 1.190 0.962
C3 0.000 -1.190 0.962
C4 1.190 0.000 -0.962
C5 -1.190 0.000 -0.962
C6 0.000 0.742 2.233
C7 0.000 -0.742 2.233
C8 0.742 0.000 -2.233
C9 -0.742 0.000 -2.233
H10 0.000 2.211 0.612
H11 0.000 -2.211 0.612
H12 2.211 0.000 -0.612
H13 -2.211 0.000 -0.612
H14 0.000 1.349 3.128
H15 0.000 -1.349 3.128
H16 1.349 0.000 -3.128
H17 -1.349 0.000 -3.128

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53021.53021.53021.53022.35332.35332.35332.35332.29462.29462.29462.29463.40643.40643.40643.4064
C21.53022.38012.55602.55601.34772.31313.48933.48931.07953.41932.96382.96382.17163.33764.46784.4678
C31.53022.38012.55602.55602.31311.34773.48933.48933.41931.07952.96382.96383.33762.17164.46784.4678
C41.53022.55602.55602.38013.48933.48931.34772.31312.96382.96381.07953.41934.46784.46782.17163.3376
C51.53022.55602.55602.38013.48933.48932.31311.34772.96382.96383.41931.07954.46784.46783.33762.1716
C62.35331.34772.31313.48933.48931.48494.58804.58802.18743.36933.67943.67941.08102.27515.57765.5776
C72.35332.31311.34773.48933.48931.48494.58804.58803.36932.18743.67943.67942.27511.08105.57765.5776
C82.35333.48933.48931.34772.31314.58804.58801.48493.67943.67942.18743.36935.57765.57761.08102.2751
C92.35333.48933.48932.31311.34774.58804.58801.48493.67943.67943.36932.18745.57765.57762.27511.0810
H102.29461.07953.41932.96382.96382.18743.36933.67943.67944.42273.35863.35862.65904.35964.54954.5495
H112.29463.41931.07952.96382.96383.36932.18743.67943.67944.42273.35863.35864.35962.65904.54954.5495
H122.29462.96382.96381.07953.41933.67943.67942.18743.36933.35863.35864.42274.54954.54952.65904.3596
H132.29462.96382.96383.41931.07953.67943.67943.36932.18743.35863.35864.42274.54954.54954.35962.6590
H143.40642.17163.33764.46784.46781.08102.27515.57765.57762.65904.35964.54954.54952.69886.54006.5400
H153.40643.33762.17164.46784.46782.27511.08105.57765.57764.35962.65904.54954.54952.69886.54006.5400
H163.40644.46784.46782.17163.33765.57765.57761.08102.27514.54954.54952.65904.35966.54006.54002.6988
H173.40644.46784.46783.33762.17165.57765.57762.27511.08104.54954.54954.35962.65906.54006.54002.6988

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 109.551 C1 C2 H10 122.156
C1 C3 C7 109.551 C1 C3 H11 122.156
C1 C4 C8 109.551 C1 C4 H12 122.156
C1 C5 C9 109.551 C1 C5 H13 122.156
C2 C1 C3 102.103 C2 C1 C4 113.276
C2 C1 C5 113.276 C2 C6 C7 109.397
C2 C6 H14 126.445 C3 C1 C4 113.276
C3 C1 C5 113.276 C3 C7 C6 109.397
C3 C7 H15 126.445 C4 C1 C5 102.103
C4 C8 C9 109.397 C4 C8 H16 126.445
C5 C9 C8 109.397 C5 C9 H17 126.445
C6 C2 H10 128.293 C6 C7 H15 124.158
C7 C3 H11 128.293 C7 C6 H14 124.158
C8 C4 H12 128.293 C8 C9 H17 124.158
C9 C5 H13 128.293 C9 C8 H16 124.158
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.344      
2 C -0.094      
3 C -0.094      
4 C -0.094      
5 C -0.094      
6 C -0.194      
7 C -0.194      
8 C -0.194      
9 C -0.194      
10 H 0.192      
11 H 0.192      
12 H 0.192      
13 H 0.192      
14 H 0.182      
15 H 0.182      
16 H 0.182      
17 H 0.182      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.269 0.000 0.000
y 0.000 -52.269 0.000
z 0.000 0.000 -47.200
Traceless
 xyz
x -2.535 0.000 0.000
y 0.000 -2.535 0.000
z 0.000 0.000 5.069
Polar
3z2-r210.139
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 8.503 0.000 0.000
y 0.000 8.503 0.000
z 0.000 0.000 17.303


<r2> (average value of r2) Å2
<r2> 288.170
(<r2>)1/2 16.976