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Diffusion‐Influenced Excited‐State Reversible Geminate ABCD Reaction in the Presence of an External Field
Author(s) -
Park Soohyung,
Shin Kook Joe
Publication year - 2008
Publication title -
chemistry – an asian journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.18
H-Index - 106
eISSN - 1861-471X
pISSN - 1861-4728
DOI - 10.1002/asia.200800028
Subject(s) - excited state , laplace transform , kinetic energy , chemistry , diffusion , dimension (graph theory) , domain (mathematical analysis) , field (mathematics) , quenching (fluorescence) , work (physics) , reaction–diffusion system , atomic physics , physics , thermodynamics , mathematics , quantum mechanics , mathematical analysis , fluorescence , pure mathematics
We obtained the exact Green functions, in the Laplace domain, for a diffusion‐influenced excited‐state reversible geminate ABCD reaction with two different lifetimes and quenching processes under a constant external field in one dimension. Analytic expressions for the survival probabilities of the initial and final states are obtained in the time domain at short and long times, respectively. The short‐time approximations obtained in this work are valid for ${t \char60 \left| K \right|^{ - 1} }$ , where K depends on several parameters of the system. The analysis of the long‐time asymptotic behaviors reveals rather complex kinetic transitions dependent upon the field and lifetimes. We also find a destructive interplay leading to the reduction in the number of kinetic transitions similar to that found for the excited‐state geminate ABC reaction with an external field in one dimension.