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Correlation between the fractal dimension and the microporous structure of a solid

Korrelation zwischen Bruchdimension und Mikroporenstruktur an Festkörpern

  • Anorganische Und Physikalische Chemie
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Summary

A theoretical description of gas adsorption on heterogeneous microporous solids is compared with that based on the fractal nature of these solids. It is shown that the structural parameters of a microporous solid correlate with the fractal dimension that characterizes the geometrical irregularities of microporous solids. Numerical studies performed for model solids with different degrees of microporosity show that the root-mean-square value of micropore size depends linearly on the fractal dimension.

Zusammenfassung

Eine theoretische Beschreibung der Gasadsorption an heterogenen mikroporösen Feststoffen wird mit der auf der Bruchstruktur dieser Körper basierenden verglichen. Es wird gezeigt, daß die Strukturparameter eines mikroporösen Feststoffs mit den Bruchdimensionen, die die geometrischen Ungleichmäßigkeiten des mikroporösen Körpers charakterisieren, in Korrelation zu setzen sind. Numerische Untersuchungen an Modellfeststoffen mit verschiedenem Grad an Mikroporosität zeigen, daß die Wurzel aus den mittleren Quadraten der Mikroporengröße linear mit der Bruchdimension verknüpft ist.

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References

  1. Jaroniec M., Madey R. (1988) Physical Adsorption on Heterogeneous Solids. Elsevier, Amsterdam

    Google Scholar 

  2. Jaroniec M., Bräuer P. (1986) Surf. Sci. Rep.6: 65

    Google Scholar 

  3. Young D. M., Crowell A. D. (1962) Physical Adsorption of Gases. Butterworths, London

    Google Scholar 

  4. Ross S., Olivier J. P. (1964) On Physical Adsorption. Wiley, New York

    Google Scholar 

  5. Jaroniec M. (1983) Advan. Coll. Interf. Sci.18: 149

    Google Scholar 

  6. Jaroniec M., Choma J. (1987) Chem. & Phys. of Carbon22: 197

    Google Scholar 

  7. Dubinin M. M. (1985) Carbon23: 373

    Google Scholar 

  8. Gregg S. J., Sing K. S. W. (1982) Adsorption, Surface Area and Porosity, 2nd Ed. Academic Press, London

    Google Scholar 

  9. Jaroniec M., Choma J. (1986) Mater. Chem. Phys.15: 521; Jaroniec M. (1987) Langmuir3: 795; Jaroniec M., Lu X., Madey R. (1988) Chem. Scripta28: 369

    Google Scholar 

  10. Kraehenbuehl F., Stoeckli H. F., Addoun A., Ehrburger P., Donnet J. B. (1986) Carbon24: 483

    Google Scholar 

  11. Carrott P. J. M., Roberts R. A., Sing K. S. W. (1987) In: Unger K. K., Rouquerol J., Sing K. S. W., Karl H. (eds) Characterization of Porous Solids. Elsevier, Amsterdam, pp. 89–110

    Google Scholar 

  12. Pfeifer P., Avnir D. (1983) J. Chem. Phys.79: 3558; (1984) J. Chem. Phys.80: 4573

    Google Scholar 

  13. Avnir D., Pfeifer P. (1983) Nouv. J. Chim.7: 71

    Google Scholar 

  14. Avnir D., Farin D., Pfeifer P. (1984) Nature308: 261

    Google Scholar 

  15. Farin D., Avnir D. (1987) J. Chromatogr.406: 317

    Google Scholar 

  16. Farin D., Avnir D. (1987) J. Phys. Chem.91: 5517

    Google Scholar 

  17. Avnir D. (ed.) (1989) The Fractal Approach to Heterogeneous Chemistry. Wiley, Chichester

    Google Scholar 

  18. Avnir D., Jaroniec M. (1989) Langmuir5: 1431

    Google Scholar 

  19. Dubinin M. M. (1975) Prog. Surf. Membr. Sci.9: 1

    Google Scholar 

  20. Jaroniec M., Madey R., Lu X., Choma J. (1988) Langmuir4: 911; Jaroniec M., Choma J., Swiatkowski A., Radeke K. H. (1988) Chem. Eng. Sci.43: 3151; Jaroniec M., Choma J. (1988) Carbon26: 747

    Google Scholar 

  21. Jaroniec M., Madey R. (1988) J. Chem. Soc. Faraday II84: 1139

    Google Scholar 

  22. Choma J., Jaroniec M. (1988) Mater. Chem. Phys.20: 179

    Google Scholar 

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Author notes

  1. Mieczyslaw Jaroniec

    Present address: Institute of Chemistry, M. Curie-Sklodowska University, PL-20031, Lublin, Poland

Authors and Affiliations

  1. Department of Physics, Kent State University, 44242, Kent, Ohio, USA

    Mieczyslaw Jaroniec, Xiaochun Lu & Richard Madey

Authors
  1. Mieczyslaw Jaroniec
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  2. Xiaochun Lu
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  3. Richard Madey
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Jaroniec, M., Lu, X. & Madey, R. Correlation between the fractal dimension and the microporous structure of a solid. Monatsh Chem 122, 577–584 (1991). https://doi.org/10.1007/BF00811456

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  • DOI: https://doi.org/10.1007/BF00811456

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