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

using model chemistry: PBE1PBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at PBE1PBE/cc-pVDZ
 hartrees
Energy at 0K-347.297885
Energy at 298.15K-347.305838
HF Energy-347.297885
Nuclear repulsion energy396.397514
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 PBE1PBE/cc-pVDZ
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 3268 3142 0.00      
2 A1 3240 3115 0.00      
3 A1 1610 1548 0.00      
4 A1 1389 1336 0.00      
5 A1 1088 1046 0.00      
6 A1 1022 983 0.00      
7 A1 874 840 0.00      
8 A1 444 427 0.00      
9 A2 953 916 0.00      
10 A2 727 699 0.00      
11 A2 527 506 0.00      
12 B1 959 922 0.00      
13 B1 778 748 0.00      
14 B1 622 598 0.00      
15 B1 220 212 0.00      
16 B2 3266 3140 12.01      
17 B2 3239 3114 8.72      
18 B2 1592 1531 9.90      
19 B2 1396 1343 0.72      
20 B2 1216 1169 8.36      
21 B2 1050 1010 8.08      
22 B2 998 959 24.36      
23 B2 828 796 8.37      
24 E 3261 3136 6.59      
24 E 3261 3136 6.59      
25 E 3228 3103 5.03      
25 E 3228 3103 5.03      
26 E 1666 1602 0.05      
26 E 1666 1602 0.05      
27 E 1289 1239 0.65      
27 E 1289 1239 0.65      
28 E 1152 1108 0.76      
28 E 1152 1108 0.76      
29 E 1083 1041 11.12      
29 E 1083 1041 11.12      
30 E 958 921 0.00      
30 E 958 921 0.00      
31 E 813 782 2.84      
31 E 813 782 2.84      
32 E 762 733 66.67      
32 E 762 733 66.67      
33 E 519 499 1.83      
33 E 519 499 1.83      
34 E 109 105 0.78      
34 E 109 105 0.78      

Unscaled Zero Point Vibrational Energy (zpe) 30491.9 cm-1
Scaled (by 0.9615) Zero Point Vibrational Energy (zpe) 29317.9 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 PBE1PBE/cc-pVDZ
ABC
0.14103 0.04425 0.04425

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/cc-pVDZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.177 0.951
C3 0.000 -1.177 0.951
C4 1.177 0.000 -0.951
C5 -1.177 0.000 -0.951
C6 0.000 0.734 2.223
C7 0.000 -0.734 2.223
C8 0.734 0.000 -2.223
C9 -0.734 0.000 -2.223
H10 0.000 2.211 0.606
H11 0.000 -2.211 0.606
H12 2.211 0.000 -0.606
H13 -2.211 0.000 -0.606
H14 0.000 1.357 3.118
H15 0.000 -1.357 3.118
H16 1.357 0.000 -3.118
H17 -1.357 0.000 -3.118

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51351.51351.51351.51352.34072.34072.34072.34072.29212.29212.29212.29213.40053.40053.40053.4005
C21.51352.35482.52802.52801.34662.29583.46373.46371.08933.40552.94912.94912.17453.33444.44804.4480
C31.51352.35482.52802.52802.29581.34663.46373.46373.40551.08932.94912.94913.33442.17454.44804.4480
C41.51352.52802.52802.35483.46373.46371.34662.29582.94912.94911.08933.40554.44804.44802.17453.3344
C51.51352.52802.52802.35483.46373.46372.29581.34662.94912.94913.40551.08934.44804.44803.33442.1745
C62.34071.34662.29583.46373.46371.46824.56474.56472.18943.35933.66413.66411.09082.27465.55905.5590
C72.34072.29581.34663.46373.46371.46824.56474.56473.35932.18943.66413.66412.27461.09085.55905.5590
C82.34073.46373.46371.34662.29584.56474.56471.46823.66413.66412.18943.35935.55905.55901.09082.2746
C92.34073.46373.46372.29581.34664.56474.56471.46823.66413.66413.35932.18945.55905.55902.27461.0908
H102.29211.08933.40552.94912.94912.18943.35933.66413.66414.42123.35293.35292.65334.36324.53834.5383
H112.29213.40551.08932.94912.94913.35932.18943.66413.66414.42123.35293.35294.36322.65334.53834.5383
H122.29212.94912.94911.08933.40553.66413.66412.18943.35933.35293.35294.42124.53834.53832.65334.3632
H132.29212.94912.94913.40551.08933.66413.66413.35932.18943.35293.35294.42124.53834.53834.36322.6533
H143.40052.17453.33444.44804.44801.09082.27465.55905.55902.65334.36324.53834.53832.71376.52476.5247
H153.40053.33442.17454.44804.44802.27461.09085.55905.55904.36322.65334.53834.53832.71376.52476.5247
H163.40054.44804.44802.17453.33445.55905.55901.09082.27464.53834.53832.65334.36326.52476.52472.7137
H173.40054.44804.44803.33442.17455.55905.55902.27461.09084.53834.53834.36322.65336.52476.52472.7137

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 109.708 C1 C2 H10 122.600
C1 C3 C7 109.708 C1 C3 H11 122.600
C1 C4 C8 109.708 C1 C4 H12 122.600
C1 C5 C9 109.708 C1 C5 H13 122.600
C2 C1 C3 102.142 C2 C1 C4 113.255
C2 C1 C5 113.255 C2 C6 C7 109.221
C2 C6 H14 125.966 C3 C1 C4 113.255
C3 C1 C5 113.255 C3 C7 C6 109.221
C3 C7 H15 125.966 C4 C1 C5 102.142
C4 C8 C9 109.221 C4 C8 H16 125.966
C5 C9 C8 109.221 C5 C9 H17 125.966
C6 C2 H10 127.692 C6 C7 H15 124.813
C7 C3 H11 127.692 C7 C6 H14 124.813
C8 C4 H12 127.692 C8 C9 H17 124.813
C9 C5 H13 127.692 C9 C8 H16 124.813
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.246      
2 C 0.055      
3 C 0.055      
4 C 0.055      
5 C 0.055      
6 C -0.005      
7 C -0.005      
8 C -0.005      
9 C -0.005      
10 H 0.007      
11 H 0.007      
12 H 0.007      
13 H 0.007      
14 H 0.005      
15 H 0.005      
16 H 0.005      
17 H 0.005      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.199 0.000 0.000
y 0.000 -52.199 0.000
z 0.000 0.000 -47.325
Traceless
 xyz
x -2.437 0.000 0.000
y 0.000 -2.437 0.000
z 0.000 0.000 4.874
Polar
3z2-r29.749
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 10.073 0.000 0.000
y 0.000 10.073 0.000
z 0.000 0.000 18.766


<r2> (average value of r2) Å2
<r2> 285.325
(<r2>)1/2 16.892