Periodic Precipitation

Periodic Precipitation

A Microcomputer Analysis of Transport and Reaction Processes in Diffusion Media, with Software Development

1st Edition - November 30, 1990

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  • Author: H. K. Henisch
  • eBook ISBN: 9781483296807

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Containing illustrations, worked examples, graphs and tables, this book deals with periodic precipitation (also known as Liesegang Ring formation) in terms of mathematical models and their logical consequences, and is entirely concerned with microcomputer analysis and software development. Three distinctive periodic precipitation mechanisms are included: binary diffusion-reaction; solubility modulation, and competitive particle growth. The book provides didactic illustrations of a valuable investigational procedure, in the form of hypothetical experimentation by microcomputer. The development of appropriate software is described and the resulting programs are available separately on disk. The software (for IBM compatible microcomputers; 5 1/4 and 3 1/2 inch disks available) will be sold separately by, The Carnation Press, PO Box 101, State College, PA 16804, USA.


For researchers: crystal growers, mineralogists, geologists, materials scientists, computational physicists and chemists.

Table of Contents

  • Chapter headings and selected sections: Introduction. General considerations. Fick's laws of diffusion. Modified diffusion laws. Basic diffusion algorithms. Concentration Profiles. Test of the simplest diffusion algorithm. Diffusion in non-homogeneous media. Diffusion in the presence of electric fields. Double diffusion; concentration products. Nucleation Algorithms. Solubility relationships in binary systems. Stoichiometric considerations. Graincount and grain size; concentration decrements. Precipitate Growth and Re-solution. Precipitate - solution interaction; rates of mass transfer. Spacing relationships. Deterministic and probabilistic models. Effect of secondary reaction products. Reservoir depletion, contamination and closure. Hypothetical Experimentation with Binary Systems. Experiments with system structures. Experiments with reservoir concentration parameters. Experiments with diffusion coefficients. Experiments with solubilities and precipitation thresholds. Experiments with the stoichiometry conditions. Experiments with electric fields. Experiments in the probabilistic mode. Periodic Precipitation in Monomer Systems. Monomer precipitation by solubility modulation. Banding of particle distributions by Ostwald ripening. Experiments with competitive particle growth; a typical run. Appendix A. Precipitation by binary reaction; practical software implementation. Appendix B. Monomer precipitation by solubility modulation; practical software implementation. Appendix C. Banding by competitive particle growth; practical software implementation. References. Software order form. Index.

    41 illus. approx., 3 half tones

Product details

  • No. of pages: 136
  • Language: English
  • Copyright: © Pergamon 1990
  • Published: November 30, 1990
  • Imprint: Pergamon
  • eBook ISBN: 9781483296807

About the Author

H. K. Henisch

Affiliations and Expertise

The Pennsylvania State University, University Park, PA, USA

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