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Percus-Yevick theory of adsorption
Authors:J.W. Perram  E.R. Smith
Affiliation:Department of Applied Mathematics. Research School of Physical Sciences. Australian National University. Canberra, A.C.T. 2600, Australia;Department of Mathematics, University of Newcastle, Newcastle, New South Wales, 2308, Australia
Abstract:We study adsorption of hard sphere particles on to a plane surface with a delta function adsorption potential. The calculation takes account of exclusion via the Percus-Yevick approximation. At low and intermediate bulk adsorbate densities, both type II and type III BET adsorption isotherms can be found for the surface excess density and for the monolayer surface density. The surface excess isotherm agrees with an expansion of the exact surface excess isotherm to second order in the density. We mention some biochemical ramifications of the results.
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