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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/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-347.712994
Energy at 298.15K-347.720910
HF Energy-347.712994
Nuclear repulsion energy395.070724
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/6-31+G**
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 3247 3131 0.00      
2 A1 3219 3104 0.00      
3 A1 1578 1521 0.00      
4 A1 1395 1345 0.00      
5 A1 1112 1072 0.00      
6 A1 1005 969 0.00      
7 A1 862 831 0.00      
8 A1 438 422 0.00      
9 A2 948 914 0.00      
10 A2 723 697 0.00      
11 A2 525 506 0.00      
12 B1 954 919 0.00      
13 B1 776 749 0.00      
14 B1 617 595 0.00      
15 B1 219 211 0.00      
16 B2 3245 3128 12.48      
17 B2 3219 3103 17.67      
18 B2 1557 1501 13.73      
19 B2 1394 1344 0.53      
20 B2 1197 1154 4.94      
21 B2 1056 1019 11.25      
22 B2 986 951 20.49      
23 B2 824 795 10.73      
24 E 3241 3125 10.24      
24 E 3241 3125 10.24      
25 E 3208 3093 5.74      
25 E 3208 3093 5.74      
26 E 1639 1581 0.24      
26 E 1639 1581 0.24      
27 E 1304 1257 0.60      
27 E 1304 1257 0.60      
28 E 1146 1105 0.00      
28 E 1146 1105 0.00      
29 E 1084 1045 14.61      
29 E 1084 1045 14.61      
30 E 956 922 0.01      
30 E 956 922 0.01      
31 E 813 784 0.96      
31 E 813 784 0.96      
32 E 755 728 90.13      
32 E 755 728 90.13      
33 E 513 495 2.27      
33 E 513 495 2.27      
34 E 119 115 0.90      
34 E 119 115 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 30325.6 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 29239.9 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 B3LYP/6-31+G**
ABC
0.14023 0.04382 0.04382

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.182 0.960
C3 0.000 -1.182 0.960
C4 1.182 0.000 -0.960
C5 -1.182 0.000 -0.960
C6 0.000 0.737 2.233
C7 0.000 -0.737 2.233
C8 0.737 0.000 -2.233
C9 -0.737 0.000 -2.233
H10 0.000 2.210 0.619
H11 0.000 -2.210 0.619
H12 2.210 0.000 -0.619
H13 -2.210 0.000 -0.619
H14 0.000 1.354 3.125
H15 0.000 -1.354 3.125
H16 1.354 0.000 -3.125
H17 -1.354 0.000 -3.125

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52321.52321.52321.52322.35152.35152.35152.35152.29542.29542.29542.29543.40573.40573.40573.4057
C21.52322.36442.54662.54661.34842.30263.48413.48411.08313.40962.96292.96292.17153.33414.46344.4634
C31.52322.36442.54662.54662.30261.34843.48413.48413.40961.08312.96292.96293.33412.17154.46344.4634
C41.52322.54662.54662.36443.48413.48411.34842.30262.96292.96291.08313.40964.46344.46342.17153.3341
C51.52322.54662.54662.36443.48413.48412.30261.34842.96292.96293.40961.08314.46344.46343.33412.1715
C62.35151.34842.30263.48413.48411.47334.58614.58612.18533.35983.68313.68311.08462.27275.57555.5755
C72.35152.30261.34843.48413.48411.47334.58614.58613.35982.18533.68313.68312.27271.08465.57555.5755
C82.35153.48413.48411.34842.30264.58614.58611.47333.68313.68312.18533.35985.57555.57551.08462.2727
C92.35153.48413.48412.30261.34844.58614.58611.47333.68313.68313.35982.18535.57555.57552.27271.0846
H102.29541.08313.40962.96292.96292.18533.35983.68313.68314.42053.36233.36232.64814.35664.55414.5541
H112.29543.40961.08312.96292.96293.35982.18533.68313.68314.42053.36233.36234.35662.64814.55414.5541
H122.29542.96292.96291.08313.40963.68313.68312.18533.35983.36233.36234.42054.55414.55412.64814.3566
H132.29542.96292.96293.40961.08313.68313.68313.35982.18533.36233.36234.42054.55414.55414.35662.6481
H143.40572.17153.33414.46344.46341.08462.27275.57555.57552.64814.35664.55414.55412.70726.53696.5369
H153.40573.33412.17154.46344.46342.27271.08465.57555.57554.35662.64814.55414.55412.70726.53696.5369
H163.40574.46344.46342.17153.33415.57555.57551.08462.27274.55414.55412.64814.35666.53696.53692.7072
H173.40574.46344.46343.33412.17155.57555.57552.27271.08464.55414.55414.35662.64816.53696.53692.7072

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 109.796 C1 C2 H10 122.559
C1 C3 C7 109.796 C1 C3 H11 122.559
C1 C4 C8 109.796 C1 C4 H12 122.559
C1 C5 C9 109.796 C1 C5 H13 122.559
C2 C1 C3 101.819 C2 C1 C4 113.427
C2 C1 C5 113.427 C2 C6 C7 109.295
C2 C6 H14 126.038 C3 C1 C4 113.427
C3 C1 C5 113.427 C3 C7 C6 109.295
C3 C7 H15 126.038 C4 C1 C5 101.819
C4 C8 C9 109.295 C4 C8 H16 126.038
C5 C9 C8 109.295 C5 C9 H17 126.038
C6 C2 H10 127.645 C6 C7 H15 124.667
C7 C3 H11 127.645 C7 C6 H14 124.667
C8 C4 H12 127.645 C8 C9 H17 124.667
C9 C5 H13 127.645 C9 C8 H16 124.667
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.329      
2 C -0.306      
3 C -0.306      
4 C -0.306      
5 C -0.306      
6 C -0.037      
7 C -0.037      
8 C -0.037      
9 C -0.037      
10 H 0.133      
11 H 0.133      
12 H 0.133      
13 H 0.133      
14 H 0.127      
15 H 0.127      
16 H 0.127      
17 H 0.127      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -53.653 0.000 0.000
y 0.000 -53.653 0.000
z 0.000 0.000 -48.269
Traceless
 xyz
x -2.692 0.000 0.000
y 0.000 -2.692 0.000
z 0.000 0.000 5.384
Polar
3z2-r210.769
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 12.176 0.000 0.000
y 0.000 12.176 0.000
z 0.000 0.000 19.937


<r2> (average value of r2) Å2
<r2> 288.249
(<r2>)1/2 16.978