Deformations of crystal frameworks

2011/10/20 by Ciprian S. Borcea, Borcea, Ciprian S., Ileana Streinu +1 · 1 citation
Materials Science · Mathematics · #Crystal Structures and Properties #Solid-state spectroscopy and crystallography #X-ray Diffraction in Crystallography #math.MG

paper · pdf · doi:10.48550/arxiv.1110.4661

arxiv created 2011/10/20 · arxiv updated 2011/10/24

Abstract

We apply our deformation theory of periodic bar-and-joint frameworks to tetrahedral crystal structures. The deformation space is investigated in detail for frameworks modelled on quartz, cristobalite and tridymite.

Cited by

• Geometric deformations of sodalite frameworks

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• Frameworks with crystallographic symmetry
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• The almost periodic rigidity of crystallographic bar-joint frameworks
• Uniquely realizable crystalline structures
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