A commentary on "diffusion, mobility and their interrelation through free energy in binary metallic systems," L.S. Darken: Trans. AIME, 1948, vol. 175, p. 184ff

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2 Scopus citations

Abstract

Dr. Darken presents his phenomenological analysis of diffusion on binary systems by using the recent experimental work by Smigelskas and Kirkendall that showed marker movement in the Cu-brass couple. He separated the diffusive flux from the flux associated with marker movements and established a Lagrangian reference frame from which both fluxes are observed. He developed two equations including v = (D2 D1)∂N2/∂x and D = N1D2 + N2D1. The first equation identifies individual diffusion coefficients for the two diffusing species and quantitatively links the marker movement to their difference and the concentration gradient at a given location. Another equation evolves from the first as the homogenization rate is dependent on the two diffusivities, which are linked through the marker movement. It identifies the chemical diffusion coefficient that is measured through the Bolzmann-Matano analysis.

Original languageEnglish (US)
Pages (from-to)543-562
Number of pages20
JournalMetallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
Volume41
Issue number3
DOIs
StatePublished - Mar 2010
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Metals and Alloys

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