Skip to main content
Log in

Phenomenological treatment of multilayer growth

  • Published:
Oxidation of Metals Aims and scope Submit manuscript

Abstract

A phenomenological treatment of multilayer growth has been carried out with three basic assumptions: (1) steady-state conditions existing at the phase boundary between two phases within the multilayer, (2) a well-defined stoichiometric composition and structure existing for each layer, and (3) the same kinetics growth law followed by each layer. The supply of matter for the growth of each layer within the multilayered structure was considered to be from solid-state boundary reactions; using the concept of boundary-regions, general equations for the apparent growth rate of the region were derived. The treatment has been applied to linear kinetics, parabolic kinetics, and logarithmic kinetics. Using the equations obtained from this treatment, the effect of neighboring layers on the apparent growth rate of a given layer is shown.

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.

Similar content being viewed by others

References

  1. C. Wagner,Acta Met. 17, 99 (1969).

    Google Scholar 

  2. G. J. Yurek, J. P. Hirth, and R. A. Rapp,Oxid. Met. 8, 265 (1976).

    Google Scholar 

  3. F. Gesmundo and F. Viani,Corr. Sci. 18, 217 (1978).

    Google Scholar 

  4. F. Viani and F. Gesmundo,Corr. Sci. 20, 541 (1980).

    Google Scholar 

  5. H. S. Hsu,Oxid. Met. 26, 315 (1986).

    Google Scholar 

  6. G. Valensi,Pittsburgh International Conference on Surface Reactions (Corrosion Publishing Co., Pittsburgh, 1948), p. 159.

    Google Scholar 

  7. A. T. Fromhold, Jr.,J. Phys. Chem. Solids 43, 405 (1982).

    Google Scholar 

  8. W. Schwenk and A. Rahmel,Oxid. Met. 25, 293 (1986).

    Google Scholar 

  9. J. W. Gibbs,The Scientific Papers of J. Willard Gibbs, Vol. 1;Thermodynamics (Dover, New York, 1961), p. 96.

    Google Scholar 

  10. E. Guggenheim,Trans. Faraday Soc. 36, 397 (1940).

    Google Scholar 

  11. F. C. Goodrich, inSurface and Colloid Science, Vol. 1, E. Matijevic, ed. (Wiley-Interscience, New York, 1969), p. 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, G., Gleeson, B. & Douglass, D.L. Phenomenological treatment of multilayer growth. Oxid Met 31, 415–429 (1989). https://doi.org/10.1007/BF00666465

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00666465

Key words

Navigation