Adsorbate-adsorbate association on a homogenous surface of a nonspecific adsorbent

Extension of Langmuir kinetics in dilute solutions to include lateral interactions according to regular solution theory and the Kiselev association model

“…Another, more general form of Kiselev interaction term [43] includes both specific and non-specific interactions (other approximations of associative adsorption for the sake of simplicity are not included in this paper), and may be presented as a product of two terms (see also Eqs. (E1) and (E2) in Supplementary material):…”

Molecular Dimerisation in a Multilayer Adsorption Phase on Homogeneous Surfaces of a Solid Adsorbent

“…In the multi-layered variant of Berezin's and Kiselev's model [1] it is assumed that the amount of adsorption in further layers depends, at given values of temperature and pressure, only on the number of molecules in the first layer, but does not depend on the state of these molecules, i.e. on the effects of their mutual interactions, including the adsorbate-adsorbate association.…”

“…The description of association of adsorbed molecules on the surface of a solid body, initiated more than half a century ago by Kiselev, has a number of valuable solutions for both localised [1][2][3], mobile [4] and mixed (in the sense of partial mobility) [5] adsorption layers. These proposals assumed, in general, energetic homogeneity of the solid body surface, and in order to formulate appropriate adsorption equations, the formalism of phenomenological and statistical thermodynamics was applied.…”

“…In the evaluation of the solutions in question, their undisputed cognitive value should be emphasised, as well as their usefulness for describing the experimental adsorption data [1,6], particularly in the range of low pressure of the adsorptive. However, one of the important aspects of the discussed problem has not yet been taken into account to a degree similar to the rest.…”

The equivalence of quasi-chemical and statistical description of adsorbate molecule association in a localised adsorption monolayer on a homogeneous solid surface

“…These results confirmed, on the one hand, the validity of the previous intuition of theoreticians, while on the other hand, they inspired further research on the possibility of including these interactions in the theoretical description of the phenomenon. Among numerous proposals for such a description, Berezin and Kiselev's concepts [1] play a pivotal role, in which adsorbate-adsorbate interactions in the localised adsorption monolayer are presented as the formation of linear associations parallel to the adsorbent surface [2]. The simplicity of the model and the ease of its application to describe experimental data resulted in a wide recognition of surface phenomena in the physicochemical environment.…”