### Abstract

In a frequently applied method the exponent, n, of the distance R, of interacting molecules, appearing in the expression of the efficiency, f, of transfer, is determined from the slope of a straight line obtained by plotting In (f^{−1} −1) vs. In c/c_{0} (c and c_{0} are the concentration of the solution and a constant critical concentration characteristic of the interacting molecules and their environment, as defined in the Förster theory of transfer). The dependence of f on c is usually determined experimentally from the concentration quenching of fluorescence. From the theoretical quenching curve and the analytical expression for the slope, it is concluded that In (f^{−1} −1) vs. In c/c_{0} is not strictly linear, but a curve with slopes yielding exponents from n = −6−n = −3, in contrast to the fact that the interaction theoretically remains very weak (with n = −6). A correct exponent is obtained experimentally from the high-concentration part of the quenching curve or by using the theoretical dependence of the slope on the concentration in the case of very weak interactions. For strong interactions, In (f^{−1} −1) vs. In c/c_{0} is linear, and n = −3 in the whole concentration range. However, f is slightly volume-dependent.

Original language | English |
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Pages (from-to) | 663-671 |

Number of pages | 9 |

Journal | Journal of Theoretical Biology |

Volume | 86 |

Issue number | 4 |

DOIs | |

Publication status | Published - Jan 1 1980 |

### ASJC Scopus subject areas

- Statistics and Probability
- Modelling and Simulation
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Agricultural and Biological Sciences(all)
- Applied Mathematics

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## Cite this

*Journal of Theoretical Biology*,

*86*(4), 663-671. https://doi.org/10.1016/0022-5193(80)90305-7