Model of Nanoshell Formation

We use the term Kirkendall effect to include both Kirkendall shift and Kirkendall voiding (or Frenkel voiding). We present a detailed analysis of the interaction of the Kirkendall effect and the inverse Kirkendall effect in nanoscale 

This geomet7 appears due to the formation of voids at the interface at the initial stage of the reaction. The effective core radius is determined according to = Nb 2b- 

In the following, we do not restrict ourselves to compound formation. We discuss the formation of an arbitrary intermediate binary phase with a narrow homogeneity range as the result of a reaction between the initial species B and the surrounding material A. On the other hand, we do not take into account the peculiarities of the diffusion mechanisms via the different sublattices. We treat only general vacancy concentration, assuming that the local redistribution of vacancies between the sublattices proceeds faster than the phase growth. 

The following assumptions are made in our analysis of interdiffusion in forming the nanoshells  

There is no Kirkendall shift during phase formation, i.e. all vacancy fluxes go to the formation of Kirkendall (or Frenkel) voids instead of being annihilated by internal sinks hence, they do not causing the lattice shift. 

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Alternatively to the offered phenomenological models, we developed a 3D MC model of nanoshell formation and collapse for the fee structure (lattice parameter... 

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