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Title Temperature dependence of a period of the modulated structure in atom-vacancy solid solution
Authors Oliinyk, O.V.
Tatarenko, V.A.
ORCID
Keywords вакансии
vacancies
вакансії
Type Conference Papers
Date of Issue 2011
URI http://essuir.sumdu.edu.ua/handle/123456789/20841
Publisher Sumy State University
License
Citation Oliinyk, O.V. Temperature dependence of a period of the modulated structure in atom-vacancy solid solution [Текст] / O.V. Oliinyk, V.A. Tatarenko // Nanomaterials: applications & properties. Proceedings : 1-st International conference, Alushta, Crimea, 27-30 Semptember 2011 / Edited by: A. Pogrebnjak, T. Lyutyy, S. Protsenko. — Sumy : Sumy State University, 2011. — V.2, P.ІІ. — C. 371-375.
Abstract The effective vacancy–vacancy interaction is considered. Based on the continuum approximation for the Fourier components of strain-induced vacancy–vacancy interaction energies, approximating expressions for their expansion coefficients are obtained depending on the elasticity moduli, longitudinal and transverse phonon frequencies, and vacancy-concentration-dependent lattice parameter. The behaviour of k-dependent Fourier components of the strain-induced vacancy–vacancy interaction energies near the Brillouin zone centre, A(n)+B(n)k2, is analysed. As shown, A(n) < 0 and B(n) > 0 along all the high-symmetry [100], [110], [111], [½10] directions in reciprocal space for f.c.c. crystals with negative anisotropy factor. The criterion of modulated-structure formation for interacting vacancies in f.c.c. crystals is considered. Dependence of the modulatedstructure period on temperature is plotted. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/20841
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