Stability of Multiply-Twinned Particles

概要

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A theory is developed which allows one to discuss the stability of multiply-twinned particles and to calculate critical sizes for stable and quasi-stable states. An icosahedral particle is essentially stable for γ≦γ^*_<iw> quasi-stable for γ^*_<iw> <γ≦γ^0_<it> and unstable for γ>γ^0_<it> where γ is an edge length of the particle, while a decahedral particle is not essentially stable but quasi-stable for γ≦γ^0_<dt> and unstable for γ>γ^0_<dt>. The critical siezs γ^*_<iw>, γ^0_<it> and γ^0_<dt> are formulated as functions of the specific surface energy γ_<hkl>, the twin boundary energy γ_t, the elastic strain energy W and the adhesive energy γ_a to the substrate. Calculated critical diameters 2γ^*_<iw>, 2γ^0_<it> and 2γ^0_<dt> for the particles grown in free space for several elements range between 15.5 A and 106.8 A, between 109.8 A and 486.1 A and between 725A and 3961A, respectively. These values are in good agreement with experimental results.
東北大学の論文