Analysis of the Cermak-Rothova method for determining the concentration dependence of ternary interdiffusion coefficients with a single diffusion couple

被引:20
作者
Cheng, K. [1 ]
Chen, W. [1 ]
Liu, D. [1 ,2 ]
Zhang, L. [1 ]
Du, Y. [1 ]
机构
[1] Cent S Univ, State Key Lab Powder Met, Changsha 410083, Hunan, Peoples R China
[2] Cent S Univ, Sch Mat Sci & Engn, Changsha 410083, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
Diffusion; Alloys; Diffusion couple; Ternary system; MULTICOMPONENT METALLIC SYSTEMS;
D O I
10.1016/j.scriptamat.2013.11.033
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
Dayananda's method for calculating the average ternary interdiffusion coefficient (D-ij(3)) using a single diffusion couple has recently been extended by Cermak and Rothova to determine the composition-dependent interdiffusion coefficients (D-ij(3)) in ternary systems based on the limitation of j'A in the distance interval <x(1), x(2)>. In the present paper, the authors argue that such a limitation is not applicable, and the so-called Cermak-Rothova approach cannot be used to obtain the "truly" composition-dependent interdiffusion coefficients. (C) 2013 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:5 / 8
页数:4
相关论文
共 13 条
[1]  
Boltzman L., 1894, Wiedemmans Ann. Phys, V289, P959, DOI DOI 10.1002/ANDP.18942891315
[2]   Concentration dependence of ternary interdiffusion coefficients in Ni3Al/Ni3Al-X couples with X = Cr, Fe, Nb and Ti [J].
Cermak, J ;
Rothova, V .
ACTA MATERIALIA, 2003, 51 (15) :4411-4421
[3]  
Cheney E.W., 2012, Numerical mathematics and computing
[4]   A new analysis for the determination of ternary interdiffusion coefficients from a single diffusion couple [J].
Dayananda, MA ;
Sohn, YH .
METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1999, 30 (03) :535-543
[5]  
Fick A., 1855, PHILOS MAG, V10, P30, DOI [10.1080/14786445508641925, DOI 10.1080/14786445508641925]
[6]  
Fick A., 1855, ANN PHYS, V170, P59, DOI [DOI 10.1002/ANDP.18551700105, 10.1002/andp.18551700105]
[7]   DIFFUSION IN MULTICOMPONENT METALLIC SYSTEMS [J].
KIRKALDY, JS .
CANADIAN JOURNAL OF PHYSICS, 1957, 35 (04) :435-440
[8]   DIFFUSION IN MULTICOMPONENT METALLIC SYSTEMS .7. SOLUTIONS OF MULTICOMPONENT DIFFUSION EQUATIONS WITH VARIABLE COEFFICIENTS [J].
KIRKALDY, JS ;
LANE, JE ;
MASON, GR .
CANADIAN JOURNAL OF PHYSICS, 1963, 41 (12) :2174-&
[9]  
Matano C., 1933, Jpn. J. Phys, V8, P109
[10]   THEORIES AND PROBLEMS OF LIQUID DIFFUSION [J].
ONSAGER, L .
ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1945, 46 (05) :241-265