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

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-345.697783
Energy at 298.15K-345.705783
HF Energy-345.697783
Nuclear repulsion energy395.674528
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 mPW1PW91/3-21G
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 3301 3151 0.00      
2 A1 3268 3119 0.00      
3 A1 1583 1511 0.00      
4 A1 1398 1335 0.00      
5 A1 1140 1088 0.00      
6 A1 992 947 0.00      
7 A1 882 842 0.00      
8 A1 448 428 0.00      
9 A2 983 938 0.00      
10 A2 752 718 0.00      
11 A2 536 512 0.00      
12 B1 988 943 0.00      
13 B1 798 762 0.00      
14 B1 638 609 0.00      
15 B1 233 222 0.00      
16 B2 3299 3149 12.90      
17 B2 3267 3119 6.17      
18 B2 1561 1490 8.82      
19 B2 1398 1334 0.11      
20 B2 1230 1174 6.94      
21 B2 1084 1035 18.06      
22 B2 972 928 16.11      
23 B2 856 817 13.52      
24 E 3292 3142 5.00      
24 E 3292 3142 5.00      
25 E 3255 3107 5.49      
25 E 3255 3107 5.49      
26 E 1645 1570 1.10      
26 E 1645 1570 1.10      
27 E 1332 1271 1.87      
27 E 1332 1271 1.87      
28 E 1163 1110 0.32      
28 E 1163 1110 0.32      
29 E 1093 1044 13.15      
29 E 1093 1044 13.15      
30 E 985 941 0.19      
30 E 985 941 0.19      
31 E 851 813 0.14      
31 E 851 813 0.14      
32 E 771 736 99.85      
32 E 771 736 99.85      
33 E 521 497 2.85      
33 E 521 497 2.85      
34 E 91 87 1.30      
34 E 91 87 1.30      

Unscaled Zero Point Vibrational Energy (zpe) 30802.3 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 29403.9 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 mPW1PW91/3-21G
ABC
0.13963 0.04414 0.04414

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.186 0.953
C3 0.000 -1.186 0.953
C4 1.186 0.000 -0.953
C5 -1.186 0.000 -0.953
C6 0.000 0.740 2.224
C7 0.000 -0.740 2.224
C8 0.740 0.000 -2.224
C9 -0.740 0.000 -2.224
H10 0.000 2.206 0.601
H11 0.000 -2.206 0.601
H12 2.206 0.000 -0.601
H13 -2.206 0.000 -0.601
H14 0.000 1.348 3.117
H15 0.000 -1.348 3.117
H16 1.348 0.000 -3.117
H17 -1.348 0.000 -3.117

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52151.52151.52151.52152.34352.34352.34352.34352.28612.28612.28612.28613.39573.39573.39573.3957
C21.52152.37182.53922.53921.34622.30713.47073.47071.07903.40992.94732.94732.16943.33194.44834.4483
C31.52152.37182.53922.53922.30711.34623.47073.47073.40991.07902.94732.94733.33192.16944.44834.4483
C41.52152.53922.53922.37183.47073.47071.34622.30712.94732.94731.07903.40994.44834.44832.16943.3319
C51.52152.53922.53922.37183.47073.47072.30711.34622.94732.94733.40991.07904.44834.44833.33192.1694
C62.34351.34622.30713.47073.47071.48014.56864.56862.18663.36313.65923.65921.08042.27125.55715.5571
C72.34352.30711.34623.47073.47071.48014.56864.56863.36312.18663.65923.65922.27121.08045.55715.5571
C82.34353.47073.47071.34622.30714.56864.56861.48013.65923.65922.18663.36315.55715.55711.08042.2712
C92.34353.47073.47072.30711.34624.56864.56861.48013.65923.65923.36312.18665.55715.55712.27121.0804
H102.28611.07903.40992.94732.94732.18663.36313.65923.65924.41143.34283.34282.65794.35424.52794.5279
H112.28613.40991.07902.94732.94733.36312.18663.65923.65924.41143.34283.34284.35422.65794.52794.5279
H122.28612.94732.94731.07903.40993.65923.65922.18663.36313.34283.34284.41144.52794.52792.65794.3542
H132.28612.94732.94733.40991.07903.65923.65923.36312.18663.34283.34284.41144.52794.52794.35422.6579
H143.39572.16943.33194.44834.44831.08042.27125.55715.55712.65794.35424.52794.52792.69636.51826.5182
H153.39573.33192.16944.44834.44832.27121.08045.55715.55714.35422.65794.52794.52792.69636.51826.5182
H163.39574.44834.44832.16943.33195.55715.55711.08042.27124.52794.52792.65794.35426.51826.51822.6963
H173.39574.44834.44833.33192.16945.55715.55712.27121.08044.52794.52794.35422.65796.51826.51822.6963

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 109.454 C1 C2 H10 122.141
C1 C3 C7 109.454 C1 C3 H11 122.141
C1 C4 C8 109.454 C1 C4 H12 122.141
C1 C5 C9 109.454 C1 C5 H13 122.141
C2 C1 C3 102.412 C2 C1 C4 113.112
C2 C1 C5 113.112 C2 C6 C7 109.340
C2 C6 H14 126.408 C3 C1 C4 113.112
C3 C1 C5 113.112 C3 C7 C6 109.340
C3 C7 H15 126.408 C4 C1 C5 102.412
C4 C8 C9 109.340 C4 C8 H16 126.408
C5 C9 C8 109.340 C5 C9 H17 126.408
C6 C2 H10 128.405 C6 C7 H15 124.252
C7 C3 H11 128.405 C7 C6 H14 124.252
C8 C4 H12 128.405 C8 C9 H17 124.252
C9 C5 H13 128.405 C9 C8 H16 124.252
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.414      
2 C -0.111      
3 C -0.111      
4 C -0.111      
5 C -0.111      
6 C -0.231      
7 C -0.231      
8 C -0.231      
9 C -0.231      
10 H 0.228      
11 H 0.228      
12 H 0.228      
13 H 0.228      
14 H 0.217      
15 H 0.217      
16 H 0.217      
17 H 0.217      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.067 0.000 0.000
y 0.000 -52.067 0.000
z 0.000 0.000 -46.613
Traceless
 xyz
x -2.727 0.000 0.000
y 0.000 -2.727 0.000
z 0.000 0.000 5.454
Polar
3z2-r210.908
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 8.434 0.000 0.000
y 0.000 8.434 0.000
z 0.000 0.000 17.163


<r2> (average value of r2) Å2
<r2> 285.775
(<r2>)1/2 16.905