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The kinetic model for AB(1ϕ) systems:A closed-form integration of the differential equation with a variable photokinetic factor

Authors
Publisher
Elsevier B.V.
Publication Date
Volume
187
Identifiers
DOI: 10.1016/j.jphotochem.2006.10.030
Keywords
  • Unimolecular Photoreaction
  • Quantum Yield
  • Photokinetics
  • Modelling
Disciplines
  • Chemistry
  • Mathematics
  • Physics

Abstract

Abstract A kinetic law, the log–exp model, that describes the evolution of a unimolecular photochemical reaction, AB(1ϕ), has been realised for the first time through a closed-form integration of the differential equation that involves a time-dependent photokinetic factor. As a consequence, a novel analytical formula for the efficiency of AB(1ϕ) photoreactions has been established. The theoretical log–exp model has been successfully tested against numerical integration data for simulated kinetics. It has been applied to the direct determination of the absolute values of the quantum yields, at different visible irradiation wavelengths, for the photoisomerization of a diarylethene derivative in an organic medium.

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