Solution of the Smoluchowski equation with a Coulomb potential. II. Application to fluorescence quenching
- 1 June 1978
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 68 (11) , 5172-5176
- https://doi.org/10.1063/1.435581
Abstract
The rate of fluorescence quenching is derived for the continuum model of a diffusion‐controlled reaction, using the exact solution to the Smoluchowski equation with a Coulomb potential derived earlier. The first two terms in the long‐time expansion of the reaction rate are formally the same as the result obtained by Smoluchowski for no long‐range forces. However, the sum of the hard‐core radii in Smoluchowski’s expression is replaced by an effective encounter distance. Our expression for the reaction rate with the Coulomb interaction constitutes an extension of Debye’s steady‐state result to the transient case.Keywords
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