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Updated: Sep 29, 2025

Determining the Mechanical Strength of Ultra-Fine-Grained Metals
Published on: November 22, 2021
Type III and IV deformation twins in minerals and metals
John P Hirth1, Greg Hirth2, Jian Wang3
1Private address, Green Valley, AZ 54614.
Abstract:
SignificanceHistorically, two types of twins (I and II) have been categorized for twinning in minerals and metals. When analyzed by the topological model, a crystallographic construction used to define the defect structure of interfaces, triclinic and some other low-symmetry crystals do not fall into either category and instead form two new twinning types, namely, III and IV. Aside from accurately describing twin structures, these concepts are important for understanding the deformation of minerals such as plagioclase and for deriving constitutive models for the deformation.
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