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A numerical algorithm for the determination of the adsorptive energy distribution function from isotherm data

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  • Colloid Science
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Summary

A numerical algorithm (HILDA) is developed and made available for the determination of the surface heterogeneity 'of a powder sample in terms of a ‘patchwise’ adsorptive energy distribution function. Adsorption on unisorptic `patches' may be described by a choice of model isotherm functions. These are the Hill-de Boer equation, Fowler-Guggenheim, Langmuir and the two dimensional virial equation. Parameters are presented to enable HILDA to be applied to a variety of adsorption systems. It is demonstrated how the monolayer capacity of a surface can be determined and the results are compared to BET values. HILDA is also used to follow the changes in the adsorptive energy distribution that occur with annealing a high specific area sodium chloride sample. It is concluded that the method has considerable potential for future applications.

Zusammenfassung

Es wurde ein numerischer Algorithmus (HILDA) entwickelt und zugänglich gemacht, um die Oberflächenheterogenität eines Pulverpräparates in Termen einer “fleckenweisen” Adsorptionsenergieverteilungsfunktion zu bestimmen. Die Adsorption an einheitlich adsorbierenden “Flecken” kann durch die Wahl geeigneter Modellisothermen beschrieben werden. Als solche dienen die Gleichungen nach Hill-de Boer, Fowler-Guggenheim, Langmuir sowie die zweidimensionale Virialgleichung. Es werden Parameter angegeben, mit deren Hilfe HILDA auf eine Vielzahl von Adsorptionssystemen angewendet werden kann, und es wird gezeigt, wie die Monoschichtkapazität einer Oberfläche bestimmt werden kann.

Die Ergebnisse werden mit BET-Werten verglichen. HILDA wird weiterhin verwendet, um Änderungen in der Verteilung der Adsorptionsenergie zu verfolgen, welche beim Tempern eines Kochsalzpräparates mit hoher spezifischer Oberfläche erfolgen.

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Authors and Affiliations

  1. Department of Chemistry, University of Technology, Loughborough, LE 11 3 TU, Leics, England

    W. A. House & M. J. Jaycock

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  1. W. A. House
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  2. M. J. Jaycock
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With 6 figures and 4 tables

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House, W.A., Jaycock, M.J. A numerical algorithm for the determination of the adsorptive energy distribution function from isotherm data. Colloid & Polymer Sci 256, 52–61 (1978). https://doi.org/10.1007/BF01746691

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  • DOI: https://doi.org/10.1007/BF01746691

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