doi:10.1016/j.cplett.2005.06.111
Copyright © 2005 Elsevier B.V. All rights reserved.
Quantum inelastic scattering study of isotope effects in ozone stabilization dynamics
Tiao Xie and Joel M. Bowman
, 
Cherry L. Emerson Center for Scientific Computation and Department of Chemistry, Emory University, 1515 Dickey Drive, Atlanta, GA 30322, United States
Received 26 June 2005.
Available online 19 July 2005.
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Abstract
The stabilization of O + O2 by collision with Ar is calculated using a quantum inelastic scattering approach with full-dimensional bound and unbound O3 vibrational wavefunctions. Calculations of the stabilization probability are presented for seven combinations of 16O, 17O and 18O atoms, at one total energy, zero impact parameter, and three initial orientations of Ar with respect to a body-fixed coordinate system. The importance of van der Waals well bound states and the probable importance of long-lived resonant states for stabilization is shown. Comparison of ratios of calculated stabilization probabilities with experimental rate constant ratios shows encouraging and consistent agreement.
Fig. 2. Schematic for recombination process forming 18O16O16O and 16O16O18O and depicting the ΔZPE region as discussed in the text. In this figure, 16 represents 16O and 18 represents 18O.
Fig. 3. Calculated and experimental isotope ratio comparisons for ozone stabilization relative to 16 + 1616 rate. Results with and without including states in the ΔZPE region are denoted w/ΔZPE states and w/o ΔZPE states, as discussed in the text. Standard abbreviated notation is used, i.e., X + YX represents XO + YOXO.
Table 1.
Comparison of energies (in cm−1) of van der Waals eigenstates between this work and the previous benchmark calculations for the indicated isotopomers

ΔE is the difference between the present calculations and the benchmark ones.
a Energy is relative to the lowest dissociation threshold.
b This state is identified as a bifurcation state near threshold, which is apparently missing in our calculation.
Table 2.
Calculated stabilization ratios for the O-atom isotopomer combinations indicated by X + YZ, the number of van der Waals (vdW) states and their percent contributions to the stabilization probability with and without including states in ΔZPE regions as described in the text
a Relative to
16O +
16O
16O.
b The number in the parentheses is from
[17].