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Absorbance kinetics of dye‐doped systems with photochemical first order kinetics
Author(s) -
Rupp Romano A.,
Yao Baoli,
Zheng Yuan,
Menke Neimule,
Wang Yingli,
Dong Weibin,
Zhao Wei,
Chen Yi,
Fan Meigong,
Xu Jinjun,
Fally Martin
Publication year - 2007
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200642374
Subject(s) - absorbance , kinetics , photochromism , chemistry , absorption (acoustics) , photochemistry , saturation (graph theory) , limiting , analytical chemistry (journal) , materials science , physics , organic chemistry , chromatography , mathematics , composite material , mechanical engineering , combinatorics , engineering , quantum mechanics
Abstract Often it is assumed that absorbance decays in photochromic materials with the time dependence of the photochemical kinetics, i.e. exponentially for first order kinetics. Although this may hold in the limiting case of vanishing absorbance, deviations are to be expected for realistic samples, because the local photochemical kinetics slows down with increasing initial absorption and penetration depth of the radiation. We discuss the theory of the kinetics of initially homogeneous photochromic samples and derive analytical solutions. In extension of Tomlinson's theory we find an analytical solution that holds with good approximation even for samples that exhibit a small residual absorption in the saturation limit. The theoretical time dependence of the absorbance originating from photochemical first order kinetics of dye‐doped systems is compared with experimental data published by Lafond et al. for fulgides doped in different polymer matrices. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)