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Peter Zeiner

Coincidences of hypercubic lattices in 4 dimensions

Keywords: Coincidence site lattices, Grain boundaries, Cubic lattices

We consider the CSLs of 4-dimensional hypercubic lattices. In particular, we derive the coincidence index Σ and calculate the number of different CSLs as well as the number of inequivalent CSLs for a given Σ. The hypercubic face centered case is dealt with in detail and it is sketched how to derive the corresponding results for the primitive hypercubic lattice.

Zeitschrift für Kristallographie, Oldenbourg Wissenschaftsverlag

Print ISSN: 0044-2968
Volume: 221, 02/2006
Pages: 105 - 114

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