On the transition between the C and B kinetic regimes for grain-boundary diffusion

I. Szabó, D. Beke, F. J. Kedves

Research output: Article

42 Citations (Scopus)

Abstract

It is shown that, in the transitional region between the B and C kinetic regimes for grain-boundary diffusion, the product of the grain-boundary width δ, the segregation factor K and the grain-boundary diffusion coefficient Db= KδDb), as well as the grain-boundary diffusion coefficient itself, can be estimated. From penetration plots measured at different annealing times in the transitional region (0.01 <α <10, where α = Kδ/2(Dt)1/2 is the relative grain-boundary width and D is the volume diffusion coefficient) by fitting with solutions in the B and C kinetic regimes, one can obtain the apparent values for P and Db. From the solution of the general problem of grain-boundary diffusion, correcting functions are given for the calculation of the true values of P and Db (and consequently of Kδ). This procedure is illustrated by several experimental examples published in the literature as measurements in the C kinetic regime.

Original languageEnglish
Pages (from-to)227-239
Number of pages13
JournalPhilosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties
Volume62
Issue number2
DOIs
Publication statusPublished - 1990

Fingerprint

Grain boundaries
grain boundaries
Kinetics
kinetics
diffusion coefficient
penetration
plots
Annealing
annealing
products

ASJC Scopus subject areas

  • Materials Science(all)
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Physics and Astronomy (miscellaneous)
  • Metals and Alloys

Cite this

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abstract = "It is shown that, in the transitional region between the B and C kinetic regimes for grain-boundary diffusion, the product of the grain-boundary width δ, the segregation factor K and the grain-boundary diffusion coefficient Db= KδDb), as well as the grain-boundary diffusion coefficient itself, can be estimated. From penetration plots measured at different annealing times in the transitional region (0.01 <α <10, where α = Kδ/2(Dt)1/2 is the relative grain-boundary width and D is the volume diffusion coefficient) by fitting with solutions in the B and C kinetic regimes, one can obtain the apparent values for P and Db. From the solution of the general problem of grain-boundary diffusion, correcting functions are given for the calculation of the true values of P and Db (and consequently of Kδ). This procedure is illustrated by several experimental examples published in the literature as measurements in the C kinetic regime.",
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T1 - On the transition between the C and B kinetic regimes for grain-boundary diffusion

AU - Szabó, I.

AU - Beke, D.

AU - Kedves, F. J.

PY - 1990

Y1 - 1990

N2 - It is shown that, in the transitional region between the B and C kinetic regimes for grain-boundary diffusion, the product of the grain-boundary width δ, the segregation factor K and the grain-boundary diffusion coefficient Db= KδDb), as well as the grain-boundary diffusion coefficient itself, can be estimated. From penetration plots measured at different annealing times in the transitional region (0.01 <α <10, where α = Kδ/2(Dt)1/2 is the relative grain-boundary width and D is the volume diffusion coefficient) by fitting with solutions in the B and C kinetic regimes, one can obtain the apparent values for P and Db. From the solution of the general problem of grain-boundary diffusion, correcting functions are given for the calculation of the true values of P and Db (and consequently of Kδ). This procedure is illustrated by several experimental examples published in the literature as measurements in the C kinetic regime.

AB - It is shown that, in the transitional region between the B and C kinetic regimes for grain-boundary diffusion, the product of the grain-boundary width δ, the segregation factor K and the grain-boundary diffusion coefficient Db= KδDb), as well as the grain-boundary diffusion coefficient itself, can be estimated. From penetration plots measured at different annealing times in the transitional region (0.01 <α <10, where α = Kδ/2(Dt)1/2 is the relative grain-boundary width and D is the volume diffusion coefficient) by fitting with solutions in the B and C kinetic regimes, one can obtain the apparent values for P and Db. From the solution of the general problem of grain-boundary diffusion, correcting functions are given for the calculation of the true values of P and Db (and consequently of Kδ). This procedure is illustrated by several experimental examples published in the literature as measurements in the C kinetic regime.

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