Approximate analytical overall isotherms: lateral interactions of adsorbate species and patchwise topology

Michael Vigdorowitsch; Liudmila E Tsygankova; Elena D Tanygina

doi:10.1016/j.heliyon.2020.e05738

Approximate analytical overall isotherms: lateral interactions of adsorbate species and patchwise topology

Heliyon. 2020 Dec 18;6(12):e05738. doi: 10.1016/j.heliyon.2020.e05738. eCollection 2020 Dec.

Authors

Michael Vigdorowitsch^{1

2}, Liudmila E Tsygankova^{2

3}, Elena D Tanygina³

Affiliations

¹ Mörsenbroicher Weg 191, D-40470 Düsseldorf, Germany.
² All-Russian Scientific Research Institute for the Use of Machinery and Oil Products in Agriculture, Novo-Rubezhnyj Sidestr. 28, 392022, Tambov, Russian Federation.
³ The G.R. Derzhavin Tambov State University, Internatsionalnaja Str. 33, 392000, Tambov, Russian Federation.

Abstract

Approximate analytical solutions for the overall adsorption functions based on the Fowler-Guggenheim local isotherm with a patchwise topology of adsorption centres location and four different adsorption heat distribution functions have been obtained. The Gaussian, constant, linear (as a particular case of power distribution), and exponential distribution functions have been applied. Overall adsorption functions have been analytically obtained, studied and commented. The Gaussian-related adsorption function reproduces the classic computational result nearly perfectly.

Keywords: Adsorption heat; Fowler-Guggenheim; Overall isotherm; Surface heterogeneity; Theoretical chemistry.