The coincidence site lattices in 2D hexagonal lattices using Clifford algebra

DOI10.1007/s00006-014-0508-7zbMath1380.15020OpenAlexW1982598607MaRDI QIDQ2353181

Yanyan Li

Publication date: 8 July 2015

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-014-0508-7

zbMATH Keywords

Clifford algebracrystallographysimple reflectionscoincidence site lattices

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Semimodular lattices, geometric lattices (06C10)

Related Items (1)

Structure of coincidence isometry groups

Uses Software

• CLUCalc
• CLU

Cites Work

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• Interactive 3D space group visualization with CLUCalc and the Clifford geometric algebra description of space groups.
• A Clifford algebraic framework for Coxeter group theoretic computations.
• Reflections, rotations, and Pythagorean numbers
• Representation of crystallographic subperiodic groups in Clifford's geometric algebra.
• Geometric Methods and Applications
• The decomposition of an orthogonal transformation as a product of reflections
• Crystallographic space groups in geometric algebra
• Coincidence lattices and associated shear transformations
• Planar coincidences for N-fold symmetry
• Clifford algebra approach to the coincidence problem for planar lattices
• Structures of coincidence symmetry groups

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