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Fractals in Diffusion-Controlled Kinetics

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Reactions in Compartmentalized Liquids

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Abstract

The rate constants of diffusion-control1ed reactions are calculated for different fractal geometries of the trajectories of the reacting particles. This leads to rate constants, which are smaller than predicted by Smoluchowski’s classical equation, if reacting particles and solvent molecules are of similar size. The theory is extended to reactions in fractal media.

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Author information

Authors and Affiliations

  1. Dept, of Phys. Chem., University of Santiago, E-15706, Santiago de Compostela, Spain

    M. Arturo Lõpez-Quintela

  2. Faculty of Chemistry, University of Bielefeld, D-4800, Bielefeld, West Germany

    Wilhelm Knoche

Authors
  1. M. Arturo Lõpez-Quintela
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  2. Wilhelm Knoche
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Editor information

Editors and Affiliations

  1. Fakultät für Chemie, Universität Bielefeld, Universitätsstr. 25, D-4800, Bielefeld, Germany

    Wilhelm Knoche

  2. Max-Planck-Institut für biophysikalische Chemie, Am Faßberg, D-4300, Göttingen, Germany

    Reinhard Schomäcker

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© 1989 Springer-Verlag Berlin Heidelberg

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Lõpez-Quintela, M.A., Knoche, W. (1989). Fractals in Diffusion-Controlled Kinetics. In: Knoche, W., Schomäcker, R. (eds) Reactions in Compartmentalized Liquids. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74787-8_21

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  • DOI: https://doi.org/10.1007/978-3-642-74787-8_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51188-5

  • Online ISBN: 978-3-642-74787-8

  • eBook Packages: Springer Book Archive

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