Paper Titles

Adolf Fick and Diffusion Equations
p.1

Einstein's Theory of Brownian Motion
p.7

Sum-Rule Relations among Phenomenological Coefficients: Application to Segregation and Chemical Diffusion in Multicomponent Alloys and Mixed Ceramic Oxides
p.17

Calculation of Phenomenological Coefficients by Monte Carlo Computer Simulation Methods
p.27

Ad- and Desorption of Oxygen at Metal-Oxide Interfaces: Numerical Approach for Non-Homogeneous Oxide Distribution
p.35

Simulation of the Diffusion Features of Point Defects in bcc Metals
p.41

Atomistic Simulation of Pipe Diffusion in AlCu Alloys
p.47

Calculation of Atom Configuration and Characteristic of Vacancy in bcc Lattice of α-Fe
p.55

Some Thoughts and/or Questions about Activation Energy and Pre-Exponential Factor
p.61

HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 249Sum-Rule Relations among Phenomenological...

Sum-Rule Relations among Phenomenological Coefficients: Application to Segregation and Chemical Diffusion in Multicomponent Alloys and Mixed Ceramic Oxides

Article Preview

Abstract:

In this overview, we discuss the sum-rule relating phenomenological coefficients in randomly mixed systems and consider several applications to collective diffusion problems. These applications include intrinsic diffusion multicomponent alloys, chemical diffusion in strongly ionic mixed cation crystals and demixing of cations in randomly mixed quaternary transition metal oxides. In each case a substantial simplification is possible as a result of the sum-rule.

You might also be interested in these eBooks

Diffusion in Solids - Past, Present and Future

Info:

Periodical:

Defect and Diffusion Forum (Volume 249)

Pages:

17-26

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.249.17

Citation:

Cite this paper

Online since:

January 2006

Authors:

Irina V. Belova, Graeme E. Murch

Keywords:

Chemical Diffusion, Mixed Oxides, Multicomponent Alloys, Phenomenological Coefficients, Segregation

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2006 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] J.R. Manning: Phys. Rev. B Vol. 4 (1971), p.1111.

[2] A.B. Lidiard: Acta Metall. Vol. 34 (1986), p.1487.

[3] L.S. Darken: Trans. Am. Inst. Min. (Metall. ) Engr. Vol. 175 (1948), p.184.

[4] H.B. Huntington, N.C. Miller and V. Nersis: Acta Met. Vol. 9 (1961), p.749.

[5] I. V. Belova and G. E. Murch: Def. Diff. Forum Vol. 213/215 (2003), p.95.

[6] J.R. Manning: Diffusion Kinetics for Atoms in Crystals (Van Nostrand, Princeton, NJ, 1968).

[7] L.K. Moleko and A.R. Allnatt: Phil. Mag. A Vol. 58 (1988), p.677.

[8] S. Sharma, D.K. Chaturvedi, I.V. Belova and G.E. Murch: Phil. Mag. Lett. Vol. 80 (2000), p.65.

[9] I.V. Belova and G.E. Murch: to be published.

[10] I.V. Belova and G.E. Murch: Phil. Mag. Vol. 34 (2004), p.3637.

[11] I.V. Belova and G.E. Murch: Def. Diff. Forum Vol. 194-199 (2001), p.541.

[12] A.R. Allnatt, I.V. Belova and G.E. Murch: to be published.

[13] I.V. Belova and G.E. Murch: to be published.

[14] G.E. Murch and I.V. Belova: Mass and Charge Transport in Inorganic Materials II, edited by P. Vincenzini and V. Buscaglia (Techna, Faenza, Italy 2003) p.99.

[15] A.R. Allnatt and A.B. Lidiard: Atomic Transport in Solids, (Cambridge University Press, Cambridge 1993).

[16] I.V. Belova and G.E. Murch: Phil. Mag. Lett. Vol. 81 (2001), p.661.

[17] N.R. Iorio, M.A. Dayananda and R.E. Grace: Metall. Trans. Vol. 4 (1973), p.1339.

[18] L.K. Moleko, A.R. Allnatt and E.L. Allnatt: Phil. Mag. A Vol. 59 (1989), p.141.

[19] N.L. Peterson: in Diffusion in Solids: Recent Developments, edited by A.S. Nowick and J.J. Burton (Academic Press, New York 1975), p.115.

[20] G.E. Murch: Solid State Ionics Vol. 7 (1982), p.177.

[21] I.V. Belova and G.E. Murch: Phil. Mag. Vol. 84 (2004), p.2139.

[22] I.V. Belova, M.J. Brown and G.E. Murch: Solid State Ionics Vol. 167 (2004), p.175.

[23] H. Schmalzried, W. Laqua and P.L. Lin: Z. Naturforsch. A Vol. 34 (1979).