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arXiv:math/0605526 [math.MG]AbstractReferencesReviewsResources

Coincidences of Hypercubic Lattices in 4 dimensions

Peter Zeiner

Published 2006-05-18Version 1

We consider the CSLs of 4-dimensional hypercubic lattices. In particular, we derive the coincidence index $\Sigma$ and calculate the number of different CSLs as well as the number of inequivalent CSLs for a given $\Sigma$. 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.

Comments: 13 pages, 8 tables
Journal: Z. Kristallogr. 221 (2006), p. 105-114
Categories: math.MG
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