Article,

Method for the Analysis of Multicomponent Exponential Decay Curves

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The Journal of Chemical Physics, 31 (4): 978-986 (October 1959)

Abstract

A frequently encountered problem in many branches of science involves the resolution of experimental data into a sum of independent exponential curves of the form $f(t)=\sum_i=1^N N_i \exp(-łambda_i t)$ in order to estimate the physically significant parameters N, and $łambda_i$. Such problems arise, for example, in the analysis of multicomponent radioactive decay curves, and in the study of the dielectric properties of certain compounds. This paper is concerned with the numerical evaluation of a mathematical approach to the problem. The approach is based on the inversion of the Laplace integral equation by a method of Fouri…(more)

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