Stochastic treatment of fluorescence quenching in monodisperse micellar systems with exchange of probes and quenchers
✍ Scribed by A.V. Barzykin
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 575 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
The problem of migration-assisted fluorescence quenching in monodisperse micellar systems is addressed theoretically in the general case where both probes and quenchers are allowed to migrate between micelles via a one-particle mechanism during the excitation lifetime. An exact solution to the stochastic master equation for the excited probe survival probability is derived and expressed in the form of a Neumann convolution-type series, and as a series of exponentials. Both series rapidly converge, justifying truncated expansions for practical applications. The general solution reduces to the Infelta-Tachiya equation in the case of an immobile probe, and to the Tachiya-Gehlen result for an immobile quencher. An approximation to the fluorescence decay in the sence of Almgren's approach is also derived. The theory presented provides a means for the estimation of the micelle aggregation number, the intramicellar quenching rate constant, as well as for discriminating between different migration mechanisms and evaluating the corresponding rate constants from time-resolved or steady-state fluoresence measurements.