Temperature Dependence of a Period of the Modulated Structurein Atom-Vacancy Solid Solution Based on F.C.C. Nickel

Authors O.V. Oliinyk, V.A. Tatarenko
Affiliations G.V. Kurdyumov Institute for Metal Physics, N.A.S.U., 36, Acad. Vernadsky Blvd., UA-03680 Kyiv-142, Ukraine
Е-mail [email protected], [email protected]
Issue Volume 4, Year 2012, Number 1
Dates Received 06 December 2011; revised manuscript received 22 February 2012; published online 14 March 2012
Citation O.V. Oliinyk, V.A. Tatarenko, J. Nano-Electron. Phys. 4 No 1, 01023 (2012)
DOI
PACS Number(s) 1.50.Lt, 61.72.Bb, 61.72.jd, 61.80.Az
Keywords Vacancies (4) , Strain-induced interaction, Electrochemical interaction, Modulated structures, Cohesive energy (2) .
Annotation 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. A non-analytical behaviour of the k-dependent Fourier components of the strain-induced vacancy–vacancy-interaction energies near the Brillouin zone centre, Avv(n) + Bvv(n)|k|2, is analysed. As shown, Avv(n)  0 and Bvv(n)  0 along all the high-symmetry [100], [110], [111] 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 f.c.c.-Ni–vacancies modulated-structure period on temperature is plotted.

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