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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**

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**
 hartrees
Energy at 0K-347.697860
Energy at 298.15K-347.705777
HF Energy-347.697860
Nuclear repulsion energy395.461281
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**
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 3249 3122 0.00      
2 A1 3220 3094 0.00      
3 A1 1590 1528 0.00      
4 A1 1402 1347 0.00      
5 A1 1115 1071 0.00      
6 A1 1009 969 0.00      
7 A1 864 830 0.00      
8 A1 439 422 0.00      
9 A2 949 912 0.00      
10 A2 727 699 0.00      
11 A2 526 505 0.00      
12 B1 955 918 0.00      
13 B1 778 747 0.00      
14 B1 622 597 0.00      
15 B1 219 211 0.00      
16 B2 3247 3120 14.28      
17 B2 3220 3093 20.82      
18 B2 1570 1509 7.92      
19 B2 1402 1347 0.67      
20 B2 1202 1155 4.94      
21 B2 1058 1017 10.45      
22 B2 990 951 16.58      
23 B2 826 794 9.75      
24 E 3244 3116 14.10      
24 E 3244 3116 14.10      
25 E 3208 3083 6.83      
25 E 3208 3083 6.83      
26 E 1655 1590 0.07      
26 E 1655 1590 0.07      
27 E 1308 1257 0.76      
27 E 1308 1257 0.76      
28 E 1150 1104 0.02      
28 E 1150 1104 0.02      
29 E 1088 1045 9.57      
29 E 1088 1045 9.57      
30 E 955 918 0.00      
30 E 955 918 0.00      
31 E 814 782 1.29      
31 E 814 782 1.29      
32 E 764 734 57.54      
32 E 764 734 57.54      
33 E 516 496 1.32      
33 E 516 496 1.32      
34 E 116 111 0.69      
34 E 116 111 0.69      

Unscaled Zero Point Vibrational Energy (zpe) 30405.5 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 29213.6 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**
ABC
0.14046 0.04392 0.04392

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/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 1.181 0.960
C3 0.000 -1.181 0.960
C4 1.181 0.000 -0.960
C5 -1.181 0.000 -0.960
C6 0.000 0.736 2.230
C7 0.000 -0.736 2.230
C8 0.736 0.000 -2.230
C9 -0.736 0.000 -2.230
H10 0.000 2.209 0.618
H11 0.000 -2.209 0.618
H12 2.209 0.000 -0.618
H13 -2.209 0.000 -0.618
H14 0.000 1.352 3.123
H15 0.000 -1.352 3.123
H16 1.352 0.000 -3.123
H17 -1.352 0.000 -3.123

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52231.52231.52231.52232.34862.34862.34862.34862.29352.29352.29352.29353.40313.40313.40313.4031
C21.52232.36262.54532.54531.34582.29993.48083.48081.08273.40702.96052.96052.16973.33084.46044.4604
C31.52232.36262.54532.54532.29991.34583.48083.48083.40701.08272.96052.96053.33082.16974.46044.4604
C41.52232.54532.54532.36263.48083.48081.34582.29992.96052.96051.08273.40704.46044.46042.16973.3308
C51.52232.54532.54532.36263.48083.48082.29991.34582.96052.96053.40701.08274.46044.46043.33082.1697
C62.34861.34582.29993.48083.48081.47234.58034.58032.18323.35703.67883.67881.08452.27075.57025.5702
C72.34862.29991.34583.48083.48081.47234.58034.58033.35702.18323.67883.67882.27071.08455.57025.5702
C82.34863.48083.48081.34582.29994.58034.58031.47233.67883.67882.18323.35705.57025.57021.08452.2707
C92.34863.48083.48082.29991.34584.58034.58031.47233.67883.67883.35702.18325.57025.57022.27071.0845
H102.29351.08273.40702.96052.96052.18323.35703.67883.67884.41713.35923.35922.64744.35314.55004.5500
H112.29353.40701.08272.96052.96053.35702.18323.67883.67884.41713.35923.35924.35312.64744.55004.5500
H122.29352.96052.96051.08273.40703.67883.67882.18323.35703.35923.35924.41714.55004.55002.64744.3531
H132.29352.96052.96053.40701.08273.67883.67883.35702.18323.35923.35924.41714.55004.55004.35312.6474
H143.40312.16973.33084.46044.46041.08452.27075.57025.57022.64744.35314.55004.55002.70336.53226.5322
H153.40313.33082.16974.46044.46042.27071.08455.57025.57024.35312.64744.55004.55002.70336.53226.5322
H163.40314.46044.46042.16973.33085.57025.57021.08452.27074.55004.55002.64744.35316.53226.53222.7033
H173.40314.46044.46043.33082.16975.57025.57022.27071.08454.55004.55004.35312.64746.53226.53222.7033

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 109.789 C1 C2 H10 122.486
C1 C3 C7 109.789 C1 C3 H11 122.486
C1 C4 C8 109.789 C1 C4 H12 122.486
C1 C5 C9 109.789 C1 C5 H13 122.486
C2 C1 C3 101.791 C2 C1 C4 113.442
C2 C1 C5 113.442 C2 C6 C7 109.315
C2 C6 H14 126.105 C3 C1 C4 113.442
C3 C1 C5 113.442 C3 C7 C6 109.315
C3 C7 H15 126.105 C4 C1 C5 101.791
C4 C8 C9 109.315 C4 C8 H16 126.105
C5 C9 C8 109.315 C5 C9 H17 126.105
C6 C2 H10 127.725 C6 C7 H15 124.580
C7 C3 H11 127.725 C7 C6 H14 124.580
C8 C4 H12 127.725 C8 C9 H17 124.580
C9 C5 H13 127.725 C9 C8 H16 124.580
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.132      
2 C -0.056      
3 C -0.056      
4 C -0.056      
5 C -0.056      
6 C -0.091      
7 C -0.091      
8 C -0.091      
9 C -0.091      
10 H 0.094      
11 H 0.094      
12 H 0.094      
13 H 0.094      
14 H 0.086      
15 H 0.086      
16 H 0.086      
17 H 0.086      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -51.633 0.000 0.000
y 0.000 -51.633 0.000
z 0.000 0.000 -47.340
Traceless
 xyz
x -2.147 0.000 0.000
y 0.000 -2.147 0.000
z 0.000 0.000 4.293
Polar
3z2-r28.586
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 9.497 0.000 0.000
y 0.000 9.497 0.000
z 0.000 0.000 18.263


<r2> (average value of r2) Å2
<r2> 286.713
(<r2>)1/2 16.933