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Further partitioning of the reactant-product decoupling equations of state-to-state reactive scattering and their solution by the time-independent wave-packet method

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.475095· OSTI ID:544801
;  [1];  [2]
  1. Department of Chemistry and Department of Physics, University of Houston, Houston, Texas 77204-5641 (United States)
  2. Department of Chemistry and Ames Laboratory, Iowa State University, Ames, Iowa 50011 (United States)

The reactant-product decoupling (RPD) equations are a rigorous formulation of state-to-state reactive scattering recently introduced by Peng and Zhang. For an N-arrangement reaction there are a total of N RPD equations, each of which describes the dynamics in just one region of coordinate space. One of the regions (the r-region) encloses the reactant channel and the strong interaction region; each of the other N{minus}1 regions encloses one of the product channels. In this paper we develop a suggestion later made by Kouri and co-workers: that the original RPD equations can be further partitioned into a set of new RPD equations, in which the original r-region is now partitioned into three regions{emdash}two enclosing the reactant channel, and one enclosing the strong interaction region. After introducing the new RPD equations, we derive the time-independent wave-packet (TIW) form of the equations, and show how to solve them using an extended version of the Chebyshev propagator. We test the new RPD equations (and the method) by calculating state-to-state reaction probabilities and inelastic probabilities for the three-dimensional (J=0) H+H{sub 2} reaction. {copyright} {ital 1997 American Institute of Physics.}

Research Organization:
Ames National Laboratory
DOE Contract Number:
W-7405-ENG-82
OSTI ID:
544801
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 19 Vol. 107; ISSN 0021-9606; ISSN JCPSA6
Country of Publication:
United States
Language:
English

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