Utilization of Order-Disorder Theory in Physical Adsorption. I. Fundamental Equations

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Abstract
The order‐disorder theory of Hijmans and de Boer is adapted to a description of equilibrium between a gas and a phase forming a localized submonolayer on an energetically uniform surface. Isotherm equations are derived for adsorption in the absence of lateral interactions, and in the presence of nearest‐ and next‐nearest‐neighbor interactions. The Langmuir and Fowler‐Guggenheim equations result as special cases of the present treatment. The general theory is then applied to adsorption processes on sites in hexagonal configurations. A discussion of the resulting isotherm equations is presented.

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