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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/6-31G(2df,p)

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/6-31G(2df,p)
 hartrees
Energy at 0K-347.709226
Energy at 298.15K-347.717160
HF Energy-347.709226
Nuclear repulsion energy396.074163
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/6-31G(2df,p)
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 3242 3128 0.00      
2 A1 3212 3099 0.00      
3 A1 1579 1524 0.00      
4 A1 1389 1341 0.00      
5 A1 1112 1073 0.00      
6 A1 1003 968 0.00      
7 A1 862 832 0.00      
8 A1 439 424 0.00      
9 A2 946 913 0.00      
10 A2 730 705 0.00      
11 A2 525 507 0.00      
12 B1 955 921 0.00      
13 B1 785 757 0.00      
14 B1 621 599 0.00      
15 B1 217 210 0.00      
16 B2 3239 3126 12.93      
17 B2 3211 3099 18.27      
18 B2 1558 1503 7.72      
19 B2 1390 1341 0.32      
20 B2 1198 1156 5.50      
21 B2 1056 1019 10.08      
22 B2 984 949 17.05      
23 B2 825 797 9.02      
24 E 3235 3122 12.46      
24 E 3235 3122 12.46      
25 E 3200 3088 6.29      
25 E 3200 3088 6.29      
26 E 1642 1585 0.11      
26 E 1642 1585 0.11      
27 E 1299 1253 0.71      
27 E 1299 1253 0.71      
28 E 1147 1106 0.01      
28 E 1147 1106 0.01      
29 E 1080 1043 9.67      
29 E 1080 1043 9.67      
30 E 954 921 0.00      
30 E 954 921 0.00      
31 E 813 785 1.04      
31 E 813 785 1.04      
32 E 769 742 55.03      
32 E 769 742 55.03      
33 E 516 498 1.26      
33 E 516 498 1.26      
34 E 116 112 0.59      
34 E 116 112 0.59      

Unscaled Zero Point Vibrational Energy (zpe) 30309.2 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 29248.3 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/6-31G(2df,p)
ABC
0.14084 0.04405 0.04405

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.180 0.959
C3 0.000 -1.180 0.959
C4 1.180 0.000 -0.959
C5 -1.180 0.000 -0.959
C6 0.000 0.736 2.226
C7 0.000 -0.736 2.226
C8 0.736 0.000 -2.226
C9 -0.736 0.000 -2.226
H10 0.000 2.204 0.615
H11 0.000 -2.204 0.615
H12 2.204 0.000 -0.615
H13 -2.204 0.000 -0.615
H14 0.000 1.349 3.119
H15 0.000 -1.349 3.119
H16 1.349 0.000 -3.119
H17 -1.349 0.000 -3.119

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52031.52031.52031.52032.34482.34482.34482.34482.28842.28842.28842.28843.39823.39823.39823.3982
C21.52032.35902.54222.54221.34262.29653.47573.47571.08123.40142.95422.95422.16643.32554.45454.4545
C31.52032.35902.54222.54222.29651.34263.47573.47573.40141.08122.95422.95423.32552.16644.45454.4545
C41.52032.54222.54222.35903.47573.47571.34262.29652.95422.95421.08123.40144.45454.45452.16643.3255
C51.52032.54222.54222.35903.47573.47572.29651.34262.95422.95423.40141.08124.45454.45453.32552.1664
C62.34481.34262.29653.47573.47571.47164.57264.57262.18043.35293.67043.67041.08312.26805.56185.5618
C72.34482.29651.34263.47573.47571.47164.57264.57263.35292.18043.67043.67042.26801.08315.56185.5618
C82.34483.47573.47571.34262.29654.57264.57261.47163.67043.67042.18043.35295.56185.56181.08312.2680
C92.34483.47573.47572.29651.34264.57264.57261.47163.67043.67043.35292.18045.56185.56182.26801.0831
H102.28841.08123.40142.95422.95422.18043.35293.67043.67044.40873.35113.35112.64624.34734.54084.5408
H112.28843.40141.08122.95422.95423.35292.18043.67043.67044.40873.35113.35114.34732.64624.54084.5408
H122.28842.95422.95421.08123.40143.67043.67042.18043.35293.35113.35114.40874.54084.54082.64624.3473
H132.28842.95422.95423.40141.08123.67043.67043.35292.18043.35113.35114.40874.54084.54084.34732.6462
H143.39822.16643.32554.45454.45451.08312.26805.56185.56182.64624.34734.54084.54082.69846.52316.5231
H153.39823.32552.16644.45454.45452.26801.08315.56185.56184.34732.64624.54084.54082.69846.52316.5231
H163.39824.45454.45452.16643.32555.56185.56181.08312.26804.54084.54082.64624.34736.52316.52312.6984
H173.39824.45454.45453.32552.16645.56185.56182.26801.08314.54084.54084.34732.64626.52316.52312.6984

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 109.820 C1 C2 H10 122.299
C1 C3 C7 109.820 C1 C3 H11 122.299
C1 C4 C8 109.820 C1 C4 H12 122.299
C1 C5 C9 109.820 C1 C5 H13 122.299
C2 C1 C3 101.762 C2 C1 C4 113.458
C2 C1 C5 113.458 C2 C6 C7 109.299
C2 C6 H14 126.203 C3 C1 C4 113.458
C3 C1 C5 113.458 C3 C7 C6 109.299
C3 C7 H15 126.203 C4 C1 C5 101.762
C4 C8 C9 109.299 C4 C8 H16 126.203
C5 C9 C8 109.299 C5 C9 H17 126.203
C6 C2 H10 127.881 C6 C7 H15 124.498
C7 C3 H11 127.881 C7 C6 H14 124.498
C8 C4 H12 127.881 C8 C9 H17 124.498
C9 C5 H13 127.881 C9 C8 H16 124.498
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.213      
2 C -0.144      
3 C -0.144      
4 C -0.144      
5 C -0.144      
6 C -0.116      
7 C -0.116      
8 C -0.116      
9 C -0.116      
10 H 0.107      
11 H 0.107      
12 H 0.107      
13 H 0.107      
14 H 0.100      
15 H 0.100      
16 H 0.100      
17 H 0.100      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.584 0.000 0.000
y 0.000 -51.584 0.000
z 0.000 0.000 -47.368
Traceless
 xyz
x -2.108 0.000 0.000
y 0.000 -2.108 0.000
z 0.000 0.000 4.216
Polar
3z2-r28.432
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 9.960 0.000 0.000
y 0.000 9.960 0.000
z 0.000 0.000 18.419


<r2> (average value of r2) Å2
<r2> 285.901
(<r2>)1/2 16.909