On mean square penetration depth in grain boundary diffusion

Y. T. Chou; C. T. Liu

doi:10.4028/www.scientific.net/msf.207-209.469

On mean square penetration depth in grain boundary diffusion

Y. T. Chou, C. T. Liu

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Abstract

The mean square penetration depth (MSPD) in grain boundary diffusion was analyzed. For a semi-infinite system with constant source concentration (the Fisher-Whipple formulation), the value of MSPD can be obtained using the approximate expression Y² = 0.9 D′δ/D¹/2 t^1/2 = 1.35βx², 104 where D′ and D are respectively the grain boundary and lattice diffusion coefficients, δ is the boundary width, t is diffusion time, β = (D′/D)δ/(2√Dt), and x² = (4/3)Dt is the corresponding MSPD in lattice diffusion.

Original language	English
Pages (from-to)	469-472
Journal	Materials Science Forum
Volume	207-209
DOIs	https://doi.org/10.4028/www.scientific.net/msf.207-209.469
Publication status	Published - Feb 1996
Externally published	Yes

Research Keywords

Diffusion
Grain Boundaries
Penetration Depth

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title = "On mean square penetration depth in grain boundary diffusion",

abstract = "The mean square penetration depth (MSPD) in grain boundary diffusion was analyzed. For a semi-infinite system with constant source concentration (the Fisher-Whipple formulation), the value of MSPD can be obtained using the approximate expression Y2 = 0.9 D′δ/D1/2 t1/2 = 1.35βx2, 104 where D′ and D are respectively the grain boundary and lattice diffusion coefficients, δ is the boundary width, t is diffusion time, β = (D′/D)δ/(2√Dt), and x2 = (4/3)Dt is the corresponding MSPD in lattice diffusion.",

keywords = "Diffusion, Grain Boundaries, Penetration Depth",

author = "Chou, {Y. T.} and Liu, {C. T.}",

year = "1996",

month = feb,

doi = "10.4028/www.scientific.net/msf.207-209.469",

language = "English",

volume = "207-209",

pages = "469--472",

journal = "Materials Science Forum",

issn = "0255-5476",

publisher = "Trans Tech Publications Ltd.",

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TY - JOUR

T1 - On mean square penetration depth in grain boundary diffusion

AU - Chou, Y. T.

AU - Liu, C. T.

PY - 1996/2

Y1 - 1996/2

N2 - The mean square penetration depth (MSPD) in grain boundary diffusion was analyzed. For a semi-infinite system with constant source concentration (the Fisher-Whipple formulation), the value of MSPD can be obtained using the approximate expression Y2 = 0.9 D′δ/D1/2 t1/2 = 1.35βx2, 104 where D′ and D are respectively the grain boundary and lattice diffusion coefficients, δ is the boundary width, t is diffusion time, β = (D′/D)δ/(2√Dt), and x2 = (4/3)Dt is the corresponding MSPD in lattice diffusion.

AB - The mean square penetration depth (MSPD) in grain boundary diffusion was analyzed. For a semi-infinite system with constant source concentration (the Fisher-Whipple formulation), the value of MSPD can be obtained using the approximate expression Y2 = 0.9 D′δ/D1/2 t1/2 = 1.35βx2, 104 where D′ and D are respectively the grain boundary and lattice diffusion coefficients, δ is the boundary width, t is diffusion time, β = (D′/D)δ/(2√Dt), and x2 = (4/3)Dt is the corresponding MSPD in lattice diffusion.

KW - Diffusion

KW - Grain Boundaries

KW - Penetration Depth

UR - http://www.scopus.com/inward/record.url?scp=5344273965&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-5344273965&origin=recordpage

U2 - 10.4028/www.scientific.net/msf.207-209.469

DO - 10.4028/www.scientific.net/msf.207-209.469

M3 - RGC 21 - Publication in refereed journal

SN - 0255-5476

VL - 207-209

SP - 469

EP - 472

JO - Materials Science Forum

JF - Materials Science Forum

ER -

On mean square penetration depth in grain boundary diffusion

Abstract

Research Keywords

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