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

using model chemistry: B3PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at B3PW91/6-31G**
 hartrees
Energy at 0K-347.567464
Energy at 298.15K-347.575367
HF Energy-347.567464
Nuclear repulsion energy396.410734
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 B3PW91/6-31G**
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 3263 3127 0.00      
2 A1 3233 3098 0.00      
3 A1 1598 1532 0.00      
4 A1 1402 1343 0.00      
5 A1 1111 1065 0.00      
6 A1 1020 977 0.00      
7 A1 870 834 0.00      
8 A1 440 422 0.00      
9 A2 948 909 0.00      
10 A2 727 697 0.00      
11 A2 525 504 0.00      
12 B1 954 914 0.00      
13 B1 777 745 0.00      
14 B1 622 596 0.00      
15 B1 218 209 0.00      
16 B2 3260 3125 12.99      
17 B2 3232 3098 17.98      
18 B2 1580 1514 9.02      
19 B2 1405 1346 0.74      
20 B2 1208 1158 6.59      
21 B2 1063 1018 10.64      
22 B2 999 958 19.93      
23 B2 827 793 8.94      
24 E 3257 3121 11.22      
24 E 3257 3121 11.22      
25 E 3220 3086 6.57      
25 E 3220 3086 6.57      
26 E 1661 1592 0.11      
26 E 1661 1592 0.11      
27 E 1304 1250 0.94      
27 E 1304 1250 0.94      
28 E 1155 1107 0.13      
28 E 1155 1107 0.13      
29 E 1092 1047 10.02      
29 E 1092 1047 10.02      
30 E 954 914 0.00      
30 E 954 914 0.00      
31 E 812 778 2.09      
31 E 812 778 2.09      
32 E 764 732 65.98      
32 E 764 732 65.98      
33 E 516 495 1.61      
33 E 516 495 1.61      
34 E 109 105 0.82      
34 E 109 105 0.82      

Unscaled Zero Point Vibrational Energy (zpe) 30484.9 cm-1
Scaled (by 0.9584) Zero Point Vibrational Energy (zpe) 29216.7 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 B3PW91/6-31G**
ABC
0.14109 0.04419 0.04419

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.178 0.954
C3 0.000 -1.178 0.954
C4 1.178 0.000 -0.954
C5 -1.178 0.000 -0.954
C6 0.000 0.734 2.224
C7 0.000 -0.734 2.224
C8 0.734 0.000 -2.224
C9 -0.734 0.000 -2.224
H10 0.000 2.205 0.610
H11 0.000 -2.205 0.610
H12 2.205 0.000 -0.610
H13 -2.205 0.000 -0.610
H14 0.000 1.351 3.116
H15 0.000 -1.351 3.116
H16 1.351 0.000 -3.116
H17 -1.351 0.000 -3.116

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51631.51631.51631.51632.34202.34202.34202.34202.28842.28842.28842.28843.39663.39663.39663.3966
C21.51632.35692.53362.53361.34542.29563.46823.46821.08303.40132.94972.94972.16903.32764.44784.4478
C31.51632.35692.53362.53362.29561.34543.46823.46823.40131.08302.94972.94973.32762.16904.44784.4478
C41.51632.53362.53362.35693.46823.46821.34542.29562.94972.94971.08303.40134.44784.44782.16903.3276
C51.51632.53362.53362.35693.46823.46822.29561.34542.94972.94973.40131.08304.44784.44783.32762.1690
C62.34201.34542.29563.46823.46821.46804.56754.56752.18373.35323.66573.66571.08492.26795.55725.5572
C72.34202.29561.34543.46823.46821.46804.56754.56753.35322.18373.66573.66572.26791.08495.55725.5572
C82.34203.46823.46821.34542.29564.56754.56751.46803.66573.66572.18373.35325.55725.55721.08492.2679
C92.34203.46823.46822.29561.34544.56754.56751.46803.66573.66573.35322.18375.55725.55722.26791.0849
H102.28841.08303.40132.94972.94972.18373.35323.66573.66574.41103.34953.34952.64754.35064.53634.5363
H112.28843.40131.08302.94972.94973.35322.18373.66573.66574.41103.34953.34954.35062.64754.53634.5363
H122.28842.94972.94971.08303.40133.66573.66572.18373.35323.34953.34954.41104.53634.53632.64754.3506
H132.28842.94972.94973.40131.08303.66573.66573.35322.18373.34953.34954.41104.53634.53634.35062.6475
H143.39662.16903.32764.44784.44781.08492.26795.55725.55722.64754.35064.53634.53632.70206.51896.5189
H153.39663.32762.16904.44784.44782.26791.08495.55725.55724.35062.64754.53634.53632.70206.51896.5189
H163.39664.44784.44782.16903.32765.55725.55721.08492.26794.53634.53632.64754.35066.51896.51892.7020
H173.39664.44784.44783.32762.16905.55725.55722.26791.08494.53634.53634.35062.64756.51896.51892.7020

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 109.707 C1 C2 H10 122.503
C1 C3 C7 109.707 C1 C3 H11 122.503
C1 C4 C8 109.707 C1 C4 H12 122.503
C1 C5 C9 109.707 C1 C5 H13 122.503
C2 C1 C3 102.007 C2 C1 C4 113.327
C2 C1 C5 113.327 C2 C6 C7 109.290
C2 C6 H14 126.046 C3 C1 C4 113.327
C3 C1 C5 113.327 C3 C7 C6 109.290
C3 C7 H15 126.046 C4 C1 C5 102.007
C4 C8 C9 109.290 C4 C8 H16 126.046
C5 C9 C8 109.290 C5 C9 H17 126.046
C6 C2 H10 127.791 C6 C7 H15 124.664
C7 C3 H11 127.791 C7 C6 H14 124.664
C8 C4 H12 127.791 C8 C9 H17 124.664
C9 C5 H13 127.791 C9 C8 H16 124.664
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.206      
2 C -0.072      
3 C -0.072      
4 C -0.072      
5 C -0.072      
6 C -0.127      
7 C -0.127      
8 C -0.127      
9 C -0.127      
10 H 0.130      
11 H 0.130      
12 H 0.130      
13 H 0.130      
14 H 0.120      
15 H 0.120      
16 H 0.120      
17 H 0.120      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.285 0.000 0.000
y 0.000 -51.285 0.000
z 0.000 0.000 -46.722
Traceless
 xyz
x -2.282 0.000 0.000
y 0.000 -2.282 0.000
z 0.000 0.000 4.564
Polar
3z2-r29.127
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 9.501 0.000 0.000
y 0.000 9.501 0.000
z 0.000 0.000 18.235


<r2> (average value of r2) Å2
<r2> 284.993
(<r2>)1/2 16.882