The polylogarithmic adsorption function: a linear energetic surface heterogeneity

Given a surface energetic heterogeneity as a linear distribution function on adsorption heat, the exact solution for a new adsorption function is obtained. It is demonstrated that the interpretation of numerous experimental results associated earlier with energetic even heterogeneity of surfaces (th...

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Bibliographic Details
Published in:Journal of mathematical chemistry 2020-08, Vol.58 (7), p.1353-1363
Main Authors: Vigdorowitsch, Michael V., Tsygankova, Liudmila E., Prokhorenkov, Vyacheslav D.
Format: Article
Language:English
Subjects:
Adsorption
Chemistry
Chemistry and Materials Science
Distribution functions
Exact solutions
Heterogeneity
Math. Applications in Chemistry
Original Paper
Physical Chemistry
Surface chemistry
Theoretical and Computational Chemistry
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Summary:Given a surface energetic heterogeneity as a linear distribution function on adsorption heat, the exact solution for a new adsorption function is obtained. It is demonstrated that the interpretation of numerous experimental results associated earlier with energetic even heterogeneity of surfaces (the Temkin case) on account of linear segments of adsorption functions (isotherms) in semilogarithmic coordinates may need crucial revision. Properties of the new adsorption function as well as its limiting cases with application to the experimental data for an inhibiting composition in the benchmark-medium of National Association of Corrosion Engineers are analysed.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-020-01133-2