A mathematical analysis of diffusion in dislocations. IV. Diffusion-controlled absorption or desorption for a solid containing dislocations

A. D. Le Claire, A. Rabinovitch

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4 Scopus citations

Abstract

The well-known relations for the total amount W of material that diffuses in time t into or out of a semi-infinite solid when the surface y=0 is held at some constant concentration, are to be multiplied by a factor (1+ epsilon 2U) when the solid contains dislocations. epsilon 2 is the volume fraction of material in dislocations. U is calculated for the model previously employed by the authors of a solid containing a regular array of straight dislocations all normal to and ending in y=0 and each represented as a pipe of radius a within which the diffusion coefficient D'>>D, the coefficient in regular crystal. U, an integral, is a function of alpha =a/(Dt)1/2, of Delta =D'/D, and of the ratio, identical to epsilon / alpha , of the diffusion length (Dt)1/2 to the half-spacing between dislocations. U is represented graphically as a function of alpha for various values of Delta and epsilon 2. An application is made to experimental data on dislocation-enhanced isotope exchange rate measurements of anion diffusion in KBr by Dawson and Barr (1967).

Original languageEnglish
Article number008
Pages (from-to)991-1000
Number of pages10
JournalJournal of Physics C: Solid State Physics
Volume17
Issue number6
DOIs
StatePublished - 1 Dec 1984
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering (all)
  • Physics and Astronomy (all)

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