Online ISSN : 1347-5320
Print ISSN : 1345-9678
Crystallography and Energetics of Second Phases and Interfaces
Masaharu Kato
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2018 Volume 59 Issue 4 Pages 509-517


Morphology and crystallography of second phases, such as precipitates, martensites, inclusions, etc., embedded in a parent phase are discussed. The contribution of elastic strain energy is considered to find the most favorable shape of a second phase for given eigenstrains and elastic constants. Analyses based on the idea of invariant plane and invariant line deformations are conducted to discuss crystallography and energetics of second phases. Simple criteria are proposed to explain orientation relationship between the second phase and the parent phase as well as epitaxial relationship for substrate/thin film systems. Two types of stress effects are discussed; one on the morphology of the second phase and the other on variant selection.


This Paper was Originally Published in Japanese in Materia Japan 56 (2017) 331–337. Since the maximum page allowance of this overview was larger than that for the Japanese version in Materia Japan, more detailed descriptions and explanations were possible. Accordingly, Chapters 2, 4 and 5 were made longer and Keywords and References were revised. Tables 1 and 2, and Figs. 6 and 8 as well as some equations were newly added.

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