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Crystals 2018, 8(9), 349; https://doi.org/10.3390/cryst8090349

A Revisit to the Notation of Martensitic Crystallography

Department of Materials Science and Engineering, The Ohio State University, Columbus, OH 43210, USA
Received: 21 July 2018 / Revised: 23 August 2018 / Accepted: 29 August 2018 / Published: 30 August 2018
(This article belongs to the Special Issue Microstructures and Properties of Martensitic Materials)
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Abstract

As one of the most successful crystallographic theories for phase transformations, martensitic crystallography has been widely applied in understanding and predicting the microstructural features associated with structural phase transformations. In a narrow sense, it was initially developed based on the concepts of lattice correspondence and invariant plane strain condition, which is formulated in a continuum form through linear algebra. However, the scope of martensitic crystallography has since been extended; for example, group theory and graph theory have been introduced to capture the crystallographic phenomena originating from lattice discreteness. In order to establish a general and rigorous theoretical framework, we suggest a new notation system for martensitic crystallography. The new notation system combines the original formulation of martensitic crystallography and Dirac notation, which provides a concise and flexible way to understand the crystallographic nature of martensitic transformations with a potential extensionality. A number of key results in martensitic crystallography are reexamined and generalized through the new notation. View Full-Text
Keywords: martensitic transformation; crystallography; mathematical notation martensitic transformation; crystallography; mathematical notation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Gao, Y. A Revisit to the Notation of Martensitic Crystallography. Crystals 2018, 8, 349.

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