Surface/interface effects on the formation of misfit dislocation in a core–shell nanowire

Abstract

The misfit strain within the core of a two-phase free-standing core–shell nanowire resulting in the generation of an edge misfit dislocation or an edge misfit dislocation dipole at the core–shell interface is considered theoretically within both the classical and surface/interface elasticity approaches. The critical conditions for the misfit dislocation generation are studied and discussed in detail with special attention to the non-classical surface/interface effect. It is shown that this effect is significant for fine cores of radius smaller than roughly 20 interatomic distances. The positive and negative surface/interface Lamé constants mostly make the generation of the misfit dislocation easier and harder, respectively. Moreover, the positive (negative) residual surface/interface tensions mostly make the generation of the misfit dislocation harder (easier). The formation of individual misfit dislocation is energetically more preferential in finer two-phase nanowires, while the formation of misfit dislocation dipole is more expectable in the coarser ones.

Keywords:

• edge dislocation
• misfit dislocation
• misfit accommodation
• core–shell nanowire
• surface elasticity
• interface elasticity

Acknowledgements

M.Yu.G. appreciates the support of the Russian Foundation of Basic Research (Grant 13-02-00107-a).