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Zero-flux planes and flux reversals in multicomponent diffusion

Abstract

The development of zero-flux planes (ZFP) and flux reversals of individual components is a phenomenon commonly encountered during isothermal diffusion in multicomponent systems. At a zero-flux plane, the interdiffusion flux of a component goes to zero and exhibits a flux reversal from one side of the plane to the other. The identification of ZFP’s is based on the determination of interdiffusion fluxes directly from the concentration profiles of diffusion couples without the knowledge or use of interdiffusion coefficients. The development of ZFP and flux reversals is reviewed and presented for both single-phase and multiphase isothermal diffusion couples in selected Cu-base multicomponent systems. The significance of ZFP is discussed with the aid of diffusion paths and thermodynamic data.

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References

  1. Anusavice K J and DeHoff R T 1972Metall. Trans. 3 1279

    Article  Google Scholar 

  2. Boltzmann L 1894Ann. Phys. 53 960

    Google Scholar 

  3. Darken L S 1951Atom movements (Cleveland, OH: ASM) pp. 1–25

    Google Scholar 

  4. Dayananda M A 1983Metall. Trans. A14 1851

    Google Scholar 

  5. Dayananda M A 1985Diffusion in solids-recent developments (eds) M A Dayananda and G E Murch (Warrendale, PA: TMS-AIME) pp. 195–230

    Google Scholar 

  6. Dayananda M A and Kim C W 1979Metall. Trans. A10 1333

    Google Scholar 

  7. Heaney J A III and Dayananda M A 1986Metall. Trans. A17 983

    Google Scholar 

  8. Kansky K A and Dayananda M A 1985Metall. Trans. A16 1123

    Google Scholar 

  9. Kim C W and Dayananda M A 1983Metall. Trans. A14 857

    Google Scholar 

  10. Kim C W and Dayananda M A 1984Metall. Trans. A15 649

    Google Scholar 

  11. Kirkaldy J S 1957Can. J. Phys. 35 435

    CAS  Google Scholar 

  12. Kirkaldy J S 1970Advances in materials research (ed.) H Herman, (New York, Interscience Publishers) pp. 55–100

    Google Scholar 

  13. Matano C 1933Jpn. J. Phys. 8 109

    CAS  Google Scholar 

  14. Onsager L 1945Ann. N.Y. Acad. Sci. 46 241

    Article  CAS  Google Scholar 

  15. Sisson R D Jr and Dayananda M A 1977Metall. Trans. A8 1849

    Google Scholar 

  16. Venkatasubramanian R and Dayananda M A 1986Metall. Trans. A17 362

    Google Scholar 

Download references

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Correspondence to M A Dayananda.

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Dayananda, M.A. Zero-flux planes and flux reversals in multicomponent diffusion. Bull. Mater. Sci. 12, 341–351 (1989). https://doi.org/10.1007/BF02747141

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Keywords

  • Multicomponent diffusion
  • zero-flux plane
  • flux reversal
  • isothermal diffusion couples