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Journal of Materials Science

, Volume 41, Issue 23, pp 7683–7690 | Cite as

Special grain boundaries based on local symmetries

  • L. A. Bendersky
  • J. W. Cahn
Article

Abstract

We propose that, in large unit cell structures, the operation of local symmetries rather than a coincidence site lattice (CSL), is important for the creation of special, low energy, grain and twin boundaries. We illustrate this with a Dürer tiling, and its monoclinic realization, as well as with crystals with large icosahedral motifs.

Keywords

Twin Boundary Coincidence Point Coincidence Site Lattice Symmetry Operation Icosahedral Phase 

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Copyright information

© Springer Science+Business Media, LLC 2006

Authors and Affiliations

  1. 1.Materials Science and Engineering LaboratoryNational Institute of Standards and TechnologyGaithersburgUSA

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