Adsorption isotherms Cerofolini equation

The classical Freundlich equation has been proposed by Cerofolini [60]. This isotherm corresponds to a decreasing-exponential adsorption energy distribution function [5]. The various forms of the Freundlich equation were applied to approximate experimental isotherms [56-65,69]. 

The various efforts to improve the effectiveness of the condensation-approximation method were made [5,6,9]. A more exact solution of the integral equation gives the asymptotically correct approximation method, developed by Hobson [118] for mobile adsorption and later refined by Cerofolini [66] for localized adsorption. In this treatment, the local isotherm is assumed to be a combination of a linear and a condensation isotherm. Hsu et al. [119] and Rudzinski et al. [109,110,120] adapted the Sommerfeld expansion method [121] to the solution of the integral equation in question. Although numerous modifications of the condensation-approximation method are known, aU improvements to this method make it more complicated and introduce additional numerical problems, but they do not change its... 

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