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Funct. Mater. 2019; 26 (1): 131-151.

doi:https://doi.org/10.15407/fm26.01.131

Evolution of vacancy pores in bounded particles

V.V.Yanovsky1,2, M.I.Kopp1, M.A.Ratner1

1Institute for Single Crystals, NAS Ukraine, Nauky Ave. 60, Kharkov 61001, Ukraine
2V.N. Karazin Kharkiv National University 4 Svobody Sq., Kharkov 61022, Ukraine

Abstract: 

In the present work, the behavior of vacancy pore inside of spherical particle is investigated. On the assumption of quasistationarity of diffusion fluxes, the nonlinear equation set was obtained analytically, that describes completely pore behavior inside of spherical particle. Limiting cases of small and large pores are considered. The comparison of numerical results with asymptotic behavior of considered limiting cases of small and large pores is discussed.

Keywords: 
vacancy pore, diffusion fluxes, nonlinear equation, nanoparticle, evolution.
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