<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The analysis of Berezin and Kiselev’s concept assuming linear association of molecules in a localised adsorption monolayer on the homogeneous surface of a solid adsorbent was carried out. An inconsistency due to the lack of consideration of equilibrium concentration of free adsorption sites in the formulation of the expression for the association constant has been pointed out. It was shown that the correct form of this function leads to the final adsorption equation being identical to the specific case of the Fowler-Guggenheim equation. The obtained result has been generalised to cases of branched adsorbateadsorbate associations. A new adsorption equation limiting the association to at most the dimers has been introduced. Critical conditions for the two-dimensional condensation of the adsorption layer were determined. By applying the formalism of canonical ensemble, full equivalence of the phenomenological and statistical methods was demonstrated in the description of the intermolecular interactions in the localised adsorption monolayer.</p></abstract>

The analysis of Berezin and Kiselev’s concept assuming linear association of molecules in a localised adsorption monolayer on the homogeneous surface of a solid adsorbent was carried out. An inconsistency due to the lack of consideration of equilibrium concentration of free adsorption sites in the formulation of the expression for the association constant has been pointed out. It was shown that the correct form of this function leads to the final adsorption equation being identical to the specific case of the Fowler-Guggenheim equation. The obtained result has been generalised to cases of branched adsorbateadsorbate associations. A new adsorption equation limiting the association to at most the dimers has been introduced. Critical conditions for the two-dimensional condensation of the adsorption layer were determined. By applying the formalism of canonical ensemble, full equivalence of the phenomenological and statistical methods was demonstrated in the description of the intermolecular interactions in the localised adsorption monolayer.

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

University of Technology and Life Sciences in Bydgoszcz

Nicolaus Copernicus University in Torun L. Rydygier Collegium Medicum in Bydgoszcz

Polish Hyperbaric Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The analysis of Berezin and Kiselev’s concept assuming linear association of molecules in a localised adsorption monolayer on the homogeneous surface of a...

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

Published Online: Mar 29, 2019

Page range: 25 - 38

Received: Oct 17, 2018

Accepted: Nov 20, 2018

DOI: https://doi.org/10.2478/phr-2018-0021

Keywords
chemical equilibrium, adsorption, Berezin and Kiseleve equation, adsorbate-adsorbate interactions

© 2018 Jerzy K. Garbacz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Mar 29, 2019

Page range: 25 - 38

Received: Oct 17, 2018

Accepted: Nov 20, 2018

DOI: https://doi.org/10.2478/phr-2018-0021

Keywordschemical equilibrium, adsorption, Berezin and Kiseleve equation, adsorbate-adsorbate interactions

© 2018 Jerzy K. Garbacz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
chemical equilibrium, adsorption, Berezin and Kiseleve equation, adsorbate-adsorbate interactions