A Rigorous Justification of the Point B Method for Determination of Monolayer Capaoity from a Type II Adsorption Isotherm

概要

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A mathematical justification of the Point B method, based in a new, simple, two-layered isotherm is given. The sharp decrease of surface affnity near Point B is simulated mathe matically using the new isotherm. A parameter c which is closely related to the constant c of a BET isotherm is found to characterize the disdnctness of the layered structure of an adsorbed phase. Excluding the last two types, the empirical BDDT classification of adsorption isotherms is explained in terms of the distinctness of layered structures. The suspicionthat monolayer capacity as determined by a BET plot is not reliable unless the isotherm has a disdnctive Point B is supported mathematically and explained physically. Rather than providing a qualitative descriptiohon over a wide range of fractional cverage, as does the BET model, the present isotherm is intended to give a quantitative description over a small neighborhood of Point B in the hope of improving monolayer capacity measurement. The number of parameters in the isotherm can be increased systematically to account for new physical effects. A rigorous justification of the present model is constructed by means of a cluster series for a classical system of interacting particles in an external field.
理論物理学刊行会の論文
1975-01-25