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Extra resources for Diffusion-controlled Solid State Reactions: in Alloys, Thin-Films, and Nanosystems
This means that jA + jB = −jV = 0, so the vacancy concentration gradient levels components ﬂuxes. The notion of nonequilibrium vacancies is often considered to be connected either with generation of Frenkel pairs under the inﬂuence of high-energy particle radiation or with vacancy ﬂuxes toward sinks after quenching of the alloy. Still, nonequilibrium vacancies may prove to be signiﬁcant without any radiation, but in the processes of interdiffusion and reaction diffusion. In this case, the nonequilibrium spatial vacancy distribution is caused by differences of components mobility and (or) interface boundary motion at intermediate phase growth.
Let us neglect the molar volume changes at intermetallic phase formation, thus disregarding those effects that are connected with stresses, arising at phase boundaries. Besides, we consider the condition of diffusion ﬂux steadiness to be fulﬁlled over the phase thickness. In other words, the distribution of components in the phase layer is quasistationary. One can prove this assumption , but it would be easier to get it in an unsophisticated way. 1 xR x Concentration proﬁle of one phase growing between insoluble components.
9. 10. 11. 12. 13. , and Goesele, U. (2005) Philosophical Magazine, 85, 4445. D. (1978) Journal of Physics France, 8, 1849. -G. et al. (2008) Acta Materialia, 56, 5276. N. (2009) Acta Materialia, 57, 3367. M. V. (2009) Journal of Physics-Condensed Matter, 21, 5303. M. V. (1961) Journal of Physics and Chemistry of Solids, 19, 35. 14. V. and 15. 16. 17. 18. 19. 20. N. (2006) Acta Materialia, 54, 785. M. J. (2003) Acta Materialia, 51, 4073. Gapontsev, V. (2008) Dr. Sciences thesis. Ekaterinburg, Russia.