Myers et al.: Photodissociation of allyl chloride
5453
2
individual orbital symmetries are conserved. Since the indi-
vidual orbital symmetry changes from aЉ to aЈ along the
excited C–Cl reaction coordinate in vinyl chloride and cis-
allyl chloride, C–Cl fission is Woodward–Hoffmann forbid-
den. Thus, we expect the splitting to be small and nonadia-
batic barrier recrossing to reduce the rate constant for C–Cl
fission. To argue qualitatively why we expect Woodward–
Hoffmann forbidden reactions to have anomalously smaller
splittings than reactions which conserve individual orbital
symmetry, we calculate the configuration interaction matrix
elements which mix and split the * and the n* configu-
rations at the barrier to C–Cl fission. In a simple two-state
system, the dominant electronic configuration contributing to
the wave function on the reactant side of the barrier, ⌿ , is
R
2
1
1
0
{
•••L(n ) () (*) (* ) } and for the wave function
Cl
C–Cl
on the product side of the barrier, ⌿P , is
1
2
0
1
{
•••L(n ) () (*) (* ) }. If no orthogonality is as-
Cl
C–Cl
sumed between the reactant and product molecular orbitals
or between ⌿ and ⌿ , then the splitting between the two
R
P
19
adiabatic surfaces at the barrier is
FIG. 14. Cuts through the calculated ab initio surfaces for gauche-allyl
chloride at equilibrium CvC bond length, R͑CvC͒ϭ1.318 Å. In the
gauche conformer, only the three lowest singlet excited electronic states are
2
͑Ϫ␣S͒
1ϪS2͒
Ϫ1
splittingϭ
,
͑7͒
shown ͑the next singlet excited state is above 70 000 cm ͒. Since the sym-
͑
metry is broken, the * character, in principle, can mix into all three
electronic states so that a two-state approximation may no longer be com-
pletely valid. By tracking the oscillator strengths ͑predominantly from *
character͒ and the dominant electronic configurations of the excited state
potential energy surfaces along the RC–Cl coordinate, we can determine that
primarily the first and third excited states ͑– • –͒ exhibit an avoided crossing
around 1.84 Å. ͑The second excited state surface ͑- - -͒ does not participate
significantly until 1.86 Å.͒ For the particular cut along the avoided crossing
seam presented here, the splitting at the avoided crossing between the first
where ␣ is the energy at which the diabats cross, S is the
overlap integral ⌿R ⌿P /C, and  is the interaction, reso-
nance, or exchange energy ͗⌿ ͉H͉⌿ ͘/C; C corrects for
͗
͉
͘
R
P
unnormalized wave functions. For Woodward–Hoffmann
forbidden reactions, the product and reactant molecular or-
bitals are orthogonal by symmetry. As a result, the overlap
integrals and all one-electron integrals that contribute to the
resonance and exchange energy represented by  are zero so
that only two-electron integrals mix and split the adiabats at
the avoided crossing, resulting in a small splitting between
the adiabats for this class of reactions.
Previous experiments in our lab have also demonstrated
that increasing the distance between the orbitals involved in
the avoided crossing increases the probability of nonadiabati-
cally recrossing the barrier.1 For example, the branching to
C–Br bond fission upon ͓n͑O͒*͑CvO͔͒ excitation de-
creased by an order of magnitude in bromopropionyl chlo-
ride compared to bromoacetyl chloride.3 The extra CH2
Ϫ1
and third adiabats is 2626 cm . A larger splitting at the barrier between the
two adiabats involved in the avoided electronic configuration crossing is
seen here as compared to the cis conformer because C–Cl bond fission is
now Woodward–Hoffmann allowed. The boxed-in portion is enlarged in the
inset to the right to show the Franck–Condon region ͑indicated by the ar-
row͒. The inset has the same x/y aspect ratio as the inset for cis-allyl
chloride in Fig. 13 in order to illustrate the different forces experienced in
the Franck–Condon region for the two conformers. The repulsive forces in
the C–Cl bond upon photoexcitation allow C–Cl fission to dominate in the
gauche conformer.
2,3
ever, is planar so C–Cl fission is Woodward–Hoffmann for-
bidden. Thus, we expect C–Cl fission to be suppressed in the
cis conformer, and the change in the HCl elimination/C–Cl
fission branching ratio should follow the change in the frac-
tion of the cis conformer. The data does show that the
branching ratio increases with the raise in nozzle tempera-
ture, but the increase is stronger than that presented by the
conformation dependence alone.
spacer between the n *
and the n *
orbitals in
O
CvO
Br C–Br
bromopropionyl chloride reduces the electronic interaction
matrix elements between the two configurations resulting in
a smaller splitting between the adiabats at the barrier. Thus,
C–Br fission is further suppressed by nonadiabatic barrier
recrossing. Similarly, the branching to C–Cl fission might
also decrease in allyl chloride compared to vinyl chloride.
Unlike vinyl chloride, allyl chloride exists as two con-
formers ͑Fig. 12͒. In the predominant gauche conformer, the
Cl atom is out of the molecular plane breaking the plane of
symmetry; therefore, C–Cl fission is no longer Woodward–
Hoffmann forbidden, and we expect the splitting between the
adiabats at the barrier to C–Cl fission to increase. As a result,
the probability that the barrier to C–Cl fission is traversed
adiabatically should be greater for gauche-allyl chloride than
for vinyl chloride. The higher energy cis conformer, how-
We present GAUSSIAN 92 calculations in order to investi-
1
gate the energetic splittings between the AЈ excited potential
energy surfaces at the avoided crossing for vinyl chloride
and cis- and gauche-allyl chloride. Figure 13 shows cuts
along the C–Cl stretch of the calculated ab initio electronic
surfaces for vinyl and cis-allyl chloride. Although the four
lowest singlet excited electronic surfaces are shown in Fig.
13, two are AЉ so they do not interact with the AЈ surfaces in
planar symmetry. The AЈ potential energy surface clearly
evidences an avoided electronic curve crossing between the
J. Chem. Phys., Vol. 104, No. 14, 8 April 1996
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