Coincidences of Hypercubic Lattices in 4 dimensions
Peter Zeiner
Abstract
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.
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