### 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 D^{b}= KδD^{b}), 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 D^{b}. 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 D^{b} (and consequently of Kδ). This procedure is illustrated by several experimental examples published in the literature as measurements in the C kinetic regime.

Original language | English |
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Pages (from-to) | 227-239 |

Number of pages | 13 |

Journal | Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties |

Volume | 62 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1990 |

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### ASJC Scopus subject areas

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

### Cite this

**On the transition between the C and B kinetic regimes for grain-boundary diffusion.** / Szabó, I.; Beke, D.; Kedves, F. J.

Research output: Article

}

TY - JOUR

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.

UR - http://www.scopus.com/inward/record.url?scp=84957342833&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84957342833&partnerID=8YFLogxK

U2 - 10.1080/01418619008243919

DO - 10.1080/01418619008243919

M3 - Article

AN - SCOPUS:84957342833

VL - 62

SP - 227

EP - 239

JO - Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties

JF - Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties

SN - 0141-8610

IS - 2

ER -