The O þ O 2 exchange reaction is a prerequisite for the formation of ozone in Earth's atmosphere. We report here state-to-state differential and integral cross sections for several O þ O 2 isotopeexchange reactions obtained by dynamically exact quantum scattering calculations at collision energies relevant to atmospheric conditions. These reactions are shown to be highly nonstatistical, evidenced by dominant forward scattering and deviation of the integral cross section from the statistical limit. Mechanistic analyses revealed that the nonstatistical channel is facilitated by shortlived osculating resonances. The theoretical results provided an in-depth interpretation of a recent molecular beam experiment of the exchange reaction and shed light on the initial step of ozone recombination.complex-forming reactions | isotope effects | ozone | reactive scattering M ost chemical reactions need be activated to overcome the energy barrier, but many others require little or no activation because the intrinsic reaction path is barrierless (1). The latter type of reactions typically involves free radicals. Even at very low energies, their encounters lead to a relatively stable intermediate complex, which eventually breaks up to form products. Such complex-forming reactions are prevalent in interstellar clouds, in atmospheres, and in other gas-phase conditions such as combustion. The complex-forming mechanism manifests in various measurable attributes, such as a non-Arrhenius rate constant and a product angular distribution peaked in both forward and backward directions.
exchange reaction is a prototypical complex-forming reaction via the metastable ozone (O Ã3 ) intermediate, supported by a ∼1.13 eV potential well (2). The importance of this reaction derives from the fact that it is a prerequisite for the formation of ozone in Earth's atmosphere (3, 4):in which the metastable ozone formed during the exchange reaction is stabilized by collisions with a third body (M). An in-depth understanding of the bimolecular isotope exchange reactions will not only advance our knowledge of complex-forming reactions in general, but also shed light on the surprising and significant enrichment of heavy ozone isotopomers discovered in the stratosphere (5) and in laboratory settings (6) more than 20 years ago. A key issue for a complex-forming reaction is whether it is statistical or not. If the reaction is dominated by a sufficiently longlived intermediate, the reactivity is completely determined by the availability of open channels at a given energy (7,8), and dynamics becomes unimportant. This simple statistical picture has been very successful in understanding many complex-forming reactions (9). On the other hand, ample examples can be found for nonstatistical complex-forming reactions (10-12), often due to the short lifetime of the so-called "osculating" intermediate complex (13).Recently, van Wyngarden et al. (11) reported an important crossed molecular beam study of the 16 O þ 36 O 2 → 34 O 2 þ 18 O exchange reaction at 0.32 eV of co...