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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/CEP-121G*

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/CEP-121G*
 hartrees
Energy at 0K-55.583672
Energy at 298.15K-55.591498
HF Energy-55.583672
Nuclear repulsion energy196.025680
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/CEP-121G*
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 3213 3114 0.00      
2 A1 3186 3088 0.00      
3 A1 1548 1501 0.00      
4 A1 1382 1340 0.00      
5 A1 1097 1064 0.00      
6 A1 986 955 0.00      
7 A1 853 827 0.00      
8 A1 431 418 0.00      
9 A2 946 917 0.00      
10 A2 727 704 0.00      
11 A2 516 501 0.00      
12 B1 951 922 0.00      
13 B1 780 756 0.00      
14 B1 610 592 0.00      
15 B1 217 210 0.00      
16 B2 3211 3112 19.02      
17 B2 3185 3088 35.71      
18 B2 1529 1482 10.57      
19 B2 1383 1340 0.41      
20 B2 1184 1148 3.65      
21 B2 1043 1011 10.47      
22 B2 969 939 18.03      
23 B2 815 790 10.14      
24 E 3207 3109 22.71      
24 E 3207 3109 22.71      
25 E 3174 3077 7.26      
25 E 3174 3077 7.26      
26 E 1611 1562 0.06      
26 E 1611 1562 0.06      
27 E 1290 1251 0.48      
27 E 1290 1251 0.48      
28 E 1135 1100 0.11      
28 E 1135 1100 0.11      
29 E 1073 1040 13.94      
29 E 1073 1040 13.94      
30 E 951 922 0.01      
30 E 951 922 0.01      
31 E 805 780 0.76      
31 E 805 780 0.76      
32 E 760 737 87.35      
32 E 760 737 87.35      
33 E 508 492 2.00      
33 E 508 492 2.00      
34 E 112 109 0.98      
34 E 112 109 0.98      

Unscaled Zero Point Vibrational Energy (zpe) 30004.9 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 29086.8 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/CEP-121G*
ABC
0.13856 0.04339 0.04339

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.189 0.965
C3 0.000 -1.189 0.965
C4 1.189 0.000 -0.965
C5 -1.189 0.000 -0.965
C6 0.000 0.743 2.244
C7 0.000 -0.743 2.244
C8 0.743 0.000 -2.244
C9 -0.743 0.000 -2.244
H10 0.000 2.220 0.623
H11 0.000 -2.220 0.623
H12 2.220 0.000 -0.623
H13 -2.220 0.000 -0.623
H14 0.000 1.362 3.139
H15 0.000 -1.362 3.139
H16 1.362 0.000 -3.139
H17 -1.362 0.000 -3.139

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.53121.53121.53121.53122.36372.36372.36372.36372.30602.30602.30602.30603.42153.42153.42153.4215
C21.53122.37772.55972.55971.35462.31663.50183.50181.08643.42612.97752.97752.18073.35124.48444.4844
C31.53122.37772.55972.55972.31661.35463.50183.50183.42611.08642.97752.97753.35122.18074.48444.4844
C41.53122.55972.55972.37773.50183.50181.35462.31662.97752.97751.08643.42614.48444.48442.18073.3512
C51.53122.55972.55972.37773.50183.50182.31661.35462.97752.97753.42611.08644.48444.48443.35122.1807
C62.36371.35462.31663.50183.50181.48534.60924.60922.19313.37713.70173.70171.08812.28665.60195.6019
C72.36372.31661.35463.50183.50181.48534.60924.60923.37712.19313.70173.70172.28661.08815.60195.6019
C82.36373.50183.50181.35462.31664.60924.60921.48533.70173.70172.19313.37715.60195.60191.08812.2866
C92.36373.50183.50182.31661.35464.60924.60921.48533.70173.70173.37712.19315.60195.60192.28661.0881
H102.30601.08643.42612.97752.97752.19313.37713.70173.70174.44033.37833.37832.65804.37694.57584.5758
H112.30603.42611.08642.97752.97753.37712.19313.70173.70174.44033.37833.37834.37692.65804.57584.5758
H122.30602.97752.97751.08643.42613.70173.70172.19313.37713.37833.37834.44034.57584.57582.65804.3769
H132.30602.97752.97753.42611.08643.70173.70173.37712.19313.37833.37834.44034.57584.57584.37692.6580
H143.42152.18073.35124.48444.48441.08812.28665.60195.60192.65804.37694.57584.57582.72316.56656.5665
H153.42153.35122.18074.48444.48442.28661.08815.60195.60194.37692.65804.57584.57582.72316.56656.5665
H163.42154.48444.48442.18073.35125.60195.60191.08812.28664.57584.57582.65804.37696.56656.56652.7231
H173.42154.48444.48443.35122.18075.60195.60192.28661.08814.57584.57584.37692.65806.56656.56652.7231

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 109.833 C1 C2 H10 122.604
C1 C3 C7 109.833 C1 C3 H11 122.604
C1 C4 C8 109.833 C1 C4 H12 122.604
C1 C5 C9 109.833 C1 C5 H13 122.604
C2 C1 C3 101.866 C2 C1 C4 113.402
C2 C1 C5 113.402 C2 C6 C7 109.234
C2 C6 H14 126.098 C3 C1 C4 113.402
C3 C1 C5 113.402 C3 C7 C6 109.234
C3 C7 H15 126.098 C4 C1 C5 101.866
C4 C8 C9 109.234 C4 C8 H16 126.098
C5 C9 C8 109.234 C5 C9 H17 126.098
C6 C2 H10 127.563 C6 C7 H15 124.668
C7 C3 H11 127.563 C7 C6 H14 124.668
C8 C4 H12 127.563 C8 C9 H17 124.668
C9 C5 H13 127.563 C9 C8 H16 124.668
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.327      
2 C -0.304      
3 C -0.304      
4 C -0.304      
5 C -0.304      
6 C -0.188      
7 C -0.188      
8 C -0.188      
9 C -0.188      
10 H 0.209      
11 H 0.209      
12 H 0.209      
13 H 0.209      
14 H 0.201      
15 H 0.201      
16 H 0.201      
17 H 0.201      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.744 0.000 0.000
y 0.000 -52.744 0.000
z 0.000 0.000 -47.309
Traceless
 xyz
x -2.718 0.000 0.000
y 0.000 -2.718 0.000
z 0.000 0.000 5.436
Polar
3z2-r210.871
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 11.113 0.000 0.000
y 0.000 11.113 0.000
z 0.000 0.000 19.894


<r2> (average value of r2) Å2
<r2> 226.816
(<r2>)1/2 15.060