Landolt-Börnstein - Group III Condensed Matter

6.2 Solutions of diffusion equations for constant ternary interdiffusion coefficients

Abstract

This chapter briefly covers main concepts and methods employed in ternary diffusion studies. Generalized forms of Fick’s law, ternary interdiffusion and intrinsic diffusion coefficients are discussed. An extended form of Fick’s law, as proposed by Onsager, is employed for the general treatment of diffusion in multicomponent systems. Solutions of diffusion equations for constant ternary interdiffusion coefficients are also discussed. An infinite solid-solid couple is assembled with disks of terminal alloys of compositions Ci + and Ci - and diffusion annealed isothermally at temperature T for time t. For a ternary vapor-solid couple set up with a semi-infinite sample of composition Ci + in contact with a vapor source such that at t > 0 the surface concentrations are maintained at Ci s. A layered couple with one-dimensional periodic boundary condition or a finite diffusion couple is considered. The concept of quasi-steady state or transient equilibrium is used by Kirkaldy and coworkers in the study of interdiffusion in ternary austenites with finite couples consisting of a layer of a binary substitutional Fe-base alloy welded between two layers of a Fe-base plain carbon alloy.

Cite this page

References (16)

About this content

Title
6.2 Solutions of diffusion equations for constant ternary interdiffusion coefficients
Book Title
Diffusion in Solid Metals and Alloys
In
6 Diffusion in ternary alloys
Book DOI
10.1007/b37801
Chapter DOI
10.1007/10390457_64
Part of
Landolt-Börnstein - Group III Condensed Matter
Volume
26
Editors
  • H. Mehrer
  • Authors
  • M. A. Dayananda
  • Cite this content

    Citation copied