Stabiliby 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. A icosahedral particle is essentially stable for r≦r^*_<iw>, quasi-stable for r^*_<iw><r≦r^0_<it> and unstable for r>r^0_<it> where r is an edge length of the particle, while a decahedral particle is not essentially stable but quasi-stable for r≦r^0_<dt> and unstable for r>r^0_dt>. The critical sizes r^*_<iw>, r^0_<it> and r^-_<dt> are formulated as functions of the specific surface energy γhkl, the twin boundary energy γ_t, the elastic strain energy W and the adhesive energy γ_a to the substrate. Calculated critical diameters 2r^*_<iw>, 2r^0_<it> and 2r^0_<dt> for the particles grown in free space for several elements range between 15.5Å and 106.8Å, between 109.8Å and 486.1Å and between 725Å and 3961Å, respectively. These values are in good agreement with experimental results.
社団法人日本物理学会の論文
1969-10-05