Skip to main content
Log in

Solid state reaction kinetics: Structure of the simplest rate–time curve in terms of random tessellations

  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

Abstract

The simplest within the geometric–probabilistic approach rate–time curve is specified and its structure is made explicit in terms of random tessellations. The validity of using the notion of typical cell in this context is verified via direct simulation, and a new description of rate–time curves is suggested. In comparison with the conventional approach this provides a greater scope for exploring chemical regularities of solid state reactions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P. Barret, Cin´etiquie Hétérogene (Gauthier-Villars, Paris, 1973).

    Google Scholar 

  2. V.Z. Belen'kiy, Geometric–Probabilistic Models of Crystallization (Nauka, Moscow, 1980) (in Russian).

  3. M.E. Brown, D. Dollimore and A.K. Galwey, Reactions in the Solid State (Elsevier, Amsterdam, 1980).

    Google Scholar 

  4. B. Delmon, Introductionála Cinétique Hétérogene (Éditions Technip, Paris, 1969).

  5. J.M. Drouffe and C. Itzykson, Nuclear Phys. B 235 (1984) 45.

    Article  Google Scholar 

  6. H.J. Frost and C.V. Thompson, Acta Metall. 35 (1987) 529.

    Article  CAS  Google Scholar 

  7. N. Kalitkin, Numerical Methods (Nauka, Moscow, 1978) (in Russian).

  8. M.G. Kendall and P.A.P. Moran, Geometrical Probabilities (Griffin and Co, London, 1963).

    Google Scholar 

  9. A. Korobov, Thermochim. Acta 243 (1994) 79.

    Article  CAS  Google Scholar 

  10. A. Korobov, J. Math. Chem. 17 (1995) 323.

    Article  CAS  Google Scholar 

  11. A. Korobov, Heterogeneous Chem. Rev. 3 (1996) 477.

    Article  CAS  Google Scholar 

  12. A. Korobov, Geometrical probabilities in heterogeneous kinetics: 60 years of side by side development, J. Math. Chem. 24 (1998) 261.

    Article  CAS  Google Scholar 

  13. J. Møller, Lectures on Random Voronoi Tessellations, Lecture Notes in Statistics, Vol. 87 (Springer-Verlag, New York, 1994).

    Google Scholar 

  14. A. Okabe, B. Boots, K. Sugihara and S.N. Chiu, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (Wiley, New York, 1999).

  15. J. Šestak, Thermophysical Properties of Solids, Their Measurements and Theoretical Thermal Analysis (Elsevier, Amsterdam, 1984).

    Google Scholar 

  16. D. Young, Decomposition of Solids (Pergamon Press, 1966).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Korobov, A. Solid state reaction kinetics: Structure of the simplest rate–time curve in terms of random tessellations. Journal of Mathematical Chemistry 25, 365–382 (1999). https://doi.org/10.1023/A:1019161206547

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1019161206547

Keywords

Navigation