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

using model chemistry: wB97X-D/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at wB97X-D/cc-pVDZ
 hartrees
Energy at 0K-347.591387
Energy at 298.15K-347.599375
HF Energy-347.591387
Nuclear repulsion energy396.467762
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 wB97X-D/cc-pVDZ
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 3273 3118 0.00      
2 A1 3242 3089 0.00      
3 A1 1616 1539 0.00      
4 A1 1399 1333 0.00      
5 A1 1107 1054 0.00      
6 A1 1010 962 0.00      
7 A1 872 831 0.00      
8 A1 443 422 0.00      
9 A2 970 924 0.00      
10 A2 731 696 0.00      
11 A2 532 507 0.00      
12 B1 974 928 0.00      
13 B1 785 748 0.00      
14 B1 622 593 0.00      
15 B1 222 211 0.00      
16 B2 3271 3116 10.35      
17 B2 3242 3088 18.15      
18 B2 1599 1523 15.33      
19 B2 1405 1339 0.15      
20 B2 1214 1157 7.02      
21 B2 1059 1009 10.73      
22 B2 990 943 20.77      
23 B2 830 791 9.45      
24 E 3268 3113 10.02      
24 E 3268 3113 10.02      
25 E 3231 3078 5.79      
25 E 3231 3078 5.79      
26 E 1675 1595 0.18      
26 E 1675 1595 0.18      
27 E 1305 1243 0.34      
27 E 1305 1243 0.34      
28 E 1163 1107 0.76      
28 E 1163 1107 0.76      
29 E 1094 1042 14.27      
29 E 1094 1042 14.27      
30 E 973 927 0.10      
30 E 973 927 0.10      
31 E 815 777 1.06      
31 E 815 777 1.06      
32 E 763 727 96.33      
32 E 763 727 96.33      
33 E 518 494 3.13      
33 E 518 494 3.13      
34 E 110 105 0.84      
34 E 110 105 0.84      

Unscaled Zero Point Vibrational Energy (zpe) 30617.6 cm-1
Scaled (by 0.9526) Zero Point Vibrational Energy (zpe) 29166.3 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 wB97X-D/cc-pVDZ
ABC
0.14092 0.04422 0.04422

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.178 0.957
C3 0.000 -1.178 0.957
C4 1.178 0.000 -0.957
C5 -1.178 0.000 -0.957
C6 0.000 0.738 2.226
C7 0.000 -0.738 2.226
C8 0.738 0.000 -2.226
C9 -0.738 0.000 -2.226
H10 0.000 2.206 0.614
H11 0.000 -2.206 0.614
H12 2.206 0.000 -0.614
H13 -2.206 0.000 -0.614
H14 0.000 1.353 3.119
H15 0.000 -1.353 3.119
H16 1.353 0.000 -3.119
H17 -1.353 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
C11.51791.51791.51791.51792.34522.34522.34522.34522.28932.28932.28932.28933.39983.39983.39983.3998
C21.51792.35592.53782.53781.34272.29813.47353.47351.08363.40092.95292.95292.16873.32864.45354.4535
C31.51792.35592.53782.53782.29811.34273.47353.47353.40091.08362.95292.95293.32862.16874.45354.4535
C41.51792.53782.53782.35593.47353.47351.34272.29812.95292.95291.08363.40094.45354.45352.16873.3286
C51.51792.53782.53782.35593.47353.47352.29811.34272.95292.95293.40091.08364.45354.45353.32862.1687
C62.34521.34272.29813.47353.47351.47654.57274.57272.18013.35653.67053.67051.08422.27415.56275.5627
C72.34522.29811.34273.47353.47351.47654.57274.57273.35652.18013.67053.67052.27411.08425.56275.5627
C82.34523.47353.47351.34272.29814.57274.57271.47653.67053.67052.18013.35655.56275.56271.08422.2741
C92.34523.47353.47352.29811.34274.57274.57271.47653.67053.67053.35652.18015.56275.56272.27411.0842
H102.28931.08363.40092.95292.95292.18013.35653.67053.67054.41113.35183.35182.64634.35224.54174.5417
H112.28933.40091.08362.95292.95293.35652.18013.67053.67054.41113.35183.35184.35222.64634.54174.5417
H122.28932.95292.95291.08363.40093.67053.67052.18013.35653.35183.35184.41114.54174.54172.64634.3522
H132.28932.95292.95293.40091.08363.67053.67053.35652.18013.35183.35184.41114.54174.54174.35222.6463
H143.39982.16873.32864.45354.45351.08422.27415.56275.56272.64634.35224.54174.54172.70646.52476.5247
H153.39983.32862.16874.45354.45352.27411.08425.56275.56274.35222.64634.54174.54172.70646.52476.5247
H163.39984.45354.45352.16873.32865.56275.56271.08422.27414.54174.54172.64634.35226.52476.52472.7064
H173.39984.45354.45353.32862.16875.56275.56272.27411.08424.54174.54174.35222.64636.52476.52472.7064

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 109.985 C1 C2 H10 122.408
C1 C3 C7 109.985 C1 C3 H11 122.408
C1 C4 C8 109.985 C1 C4 H12 122.408
C1 C5 C9 109.985 C1 C5 H13 122.408
C2 C1 C3 101.801 C2 C1 C4 113.437
C2 C1 C5 113.437 C2 C6 C7 109.114
C2 C6 H14 126.331 C3 C1 C4 113.437
C3 C1 C5 113.437 C3 C7 C6 109.114
C3 C7 H15 126.331 C4 C1 C5 101.801
C4 C8 C9 109.114 C4 C8 H16 126.331
C5 C9 C8 109.114 C5 C9 H17 126.331
C6 C2 H10 127.607 C6 C7 H15 124.554
C7 C3 H11 127.607 C7 C6 H14 124.554
C8 C4 H12 127.607 C8 C9 H17 124.554
C9 C5 H13 127.607 C9 C8 H16 124.554
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.257      
2 C -0.294      
3 C -0.294      
4 C -0.294      
5 C -0.294      
6 C -0.090      
7 C -0.090      
8 C -0.090      
9 C -0.090      
10 H 0.164      
11 H 0.164      
12 H 0.164      
13 H 0.164      
14 H 0.156      
15 H 0.156      
16 H 0.156      
17 H 0.156      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -53.006 0.000 0.000
y 0.000 -53.006 0.000
z 0.000 0.000 -47.361
Traceless
 xyz
x -2.823 0.000 0.000
y 0.000 -2.823 0.000
z 0.000 0.000 5.645
Polar
3z2-r211.290
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 11.809 0.000 0.000
y 0.000 11.809 0.000
z 0.000 0.000 19.347


<r2> (average value of r2) Å2
<r2> 285.719
(<r2>)1/2 16.903