Adsorption on heterogeneous surfaces. I. Evaluation of the energy distribution function via the Wiener and Hopf method

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Abstract
A new method of evaluating the energy distribution function of sites participating in an adsorption process is presented. The method is based on the Wiener–Hopf technique for the solution of integral equations. The method is demonstrated through a derivation of the distribution functions for the generalized Freundlich and Dubinin–Radushkević isotherms, and a new distribution function relating the local Langmuir isotherm to the Javanović isotherm is derived. A prescription for the analysis of experimental data is discussed.