The distribution of solubilized molecules among micelles

Abstract

The distribution of particles among "boxes" can serve as a useful model for statistical mechanical problems.

Time-resolved fluorescence quenching in micellar assemblies

“…When a maximum number of quenchers per micelles, say m, due to size restriction is admitted, the distribution of quencher among the micelles becomes binomial: 146,147 B--fe)(s)"(1' (57) Mathematical expressions of the fluorescence decay in the case of a binomial distribution of quencher were derived by Tachiya.47 Nakamura et al reported that the fluorescence quenching of pyrene by Cu2+ and Eu3+ in SDS micelles may be described by a binomial distribution of decay rates. 146 They concluded that the maximum number of those ions per SDS micelle is about 4. This result contrast with previous investigations of the same system where Poisson distribution was successfully applied.…”

Solubilization of Polycyclic Aromatic Compounds into n-Decyltrimethylammonium Perfluorocarboxylate Micelles

“…Note that all the solubilizates in each micelle satisfied the assumption of the Poisson distribution (19,22), since theirR values were sufficiently small. The values increased with hydrophobicity of counterion, which also means the increase of the mean aggregation numbers of micelles.…”

Occupation Numbers in Micellar Solubilisation — An Excimer Study

“…It has recently been shown [13] that simple statistical arguments predict the binomial distribution for solubilised molecules.…”