Transitions in Adsorbed Monolayers. II. Theoretical

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Abstract
In anticipation of the experimental comparisons to be given in Part III, the grand partition function is employed to derive the isotherm and the two‐dimensional equation of state corresponding to a model of localized monolayer adsorption similar to that of Rushbrooke, in which the lateral vibrational partition function is permitted to depend on the occupation number of neighboring sites. This treatment includes the Fowler ``crude'' isotherm as a special case. As a competing theory, a parallel development is given for the van der Waals model of mobile adsorption. Equations are presented for the critical parameters, and for the determination of the coexistence curves for these models. Finally, graphical comparisons are made which demonstrate the experimental distinguishability of the three theories on plots which rectilinearize one at a time.