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Identifiability of Models for Fluorescence Quenching in Aqueous Micellar Systems
Author(s) -
Boens Noël,
Van der Auweraer Mark
Publication year - 2005
Publication title -
chemphyschem
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.016
H-Index - 140
eISSN - 1439-7641
pISSN - 1439-4235
DOI - 10.1002/cphc.200500174
Subject(s) - micelle , chemistry , aqueous solution , quenching (fluorescence) , fluorescence , identifiability , aggregation number , excited state , photochemistry , analytical chemistry (journal) , critical micelle concentration , chromatography , physics , mathematics , atomic physics , optics , statistics
The first deterministic identifiability analysis is presented for four commonly used kinetic models of fluorescence quenching of an excited probe in aqueous micelles: A) model with immobile quenchers, B) model with mobile quenchers, C) an extension of model B in which exchange of quenchers both via the aqueous phase and during micelle collisions is taken into account, and D) model with probe migration. It is shown that these specific models for fluorescence decay of an excited probe solubilized in a micelle and quenched by molecules or ions that are Poisson‐distributed over the micelles, resulting in the generalized four‐parameter equation f ( t ) =A 1 exp{− A 2 t − A 3 [1− A 4 t ]}, are uniquely identifiable in terms of four descriptive A parameters. Moreover, each model also can be uniquely identified in terms of the underlying rate constants and micellar concentration or mean micellar aggregation number. This means that these parameters can be extracted in a unique way from time‐resolved fluorescence quenching experiments on a probe in micelles. For each model the recommended analysis approach is given.