Continuing the discussion on the description of adsorbate-adsorbate association on homogeneous surfaces of solids, an attempt was made to formulate an analytical form of adsorption equation for a multilayer adsorption phase. The validity of Berezin’s and Kiselev’s assumptions concerning the independence of adsorption in further layers from the model of the phenomenon in the first of them was discussed. The fundamental validity of this assumption has been demonstrated, simultaneously ridding it of its arbitrary character. The main aim of the study was to demonstrate the possibility of formulating a description assuming molecule association in the entire adsorption phase (and not only in the first layer). Theoretical considerations are confined to the case of dimerisation in the concentration range thus warranting the approximation characteristic of the Berezin and Kiselev model. The obtained final adsorption equation exhibits physically acceptable boundary properties; with adequate assumptions it amounts to the Brunauer, Emmett and Teller equation, the equation formulated earlier by one of the authors of this paper or the Langmuir equation.
If the inline PDF is not rendering correctly, you can download the PDF file here.
1) Berezin GI Kiselev AV. Adsorbate-Adsorbate Association on a Homogenous Surface of a Nonspecific Adsorbent.1. J Colloid Interf Sci. 1972;38(1):227-&;
2) Karpinski K Garbacz J. General Formulation of Description of Adsorption in a Localized Monolayer on Homogeneous Surfaces. Rocz Chem. 1974;48(5):803-9;
3) Garbacz JK. A Description of Adsorption-Isotherms on Homogeneous Surfaces with Adsorbate Adsorbate Association Taken into Account. Pol J Chem. 1981;55(5):1121-5;
4) Garbacz JK Kopkowski A. Adsorbate-adsorbate association in a one-component mobile adsorption phase on energetically homogeneous adsorbents. Adsorpt Sci Technol. 1997;15(9):695-705;
5) Garbacz JK. Association of one-component mobile adsorbate molecules on energetically homogeneous solid adsorbent. Colloid Surface A. 1998;136(3):321-8;
6) Kiselev AV. Non-specific and specific interactions of molecules of different electronic structures with solid surfaces. Discuss Faraday Soc. 1965;40:205-18;
7) Brunauer S Emmett PH Teller E. Adsorption of Gases in Multimolecular Layers. J Am Chem Soc. 1938;60(2):309–19;
8) Garbacz JK Kozakiewicz M. The equivalence of quasi-chemical and statistical description of adsorbate molecule association in a localised adsorption monolayer on a homogeneous solid surface. Pol Hyperbaric Res. 2018;65 (4):25-38;
9) Langmuir I. The adsorption of gases on plane surfaces of glass mica and platinum. J Am Chem Soc. 1918;40(9):1361–403.