Coincidences of Hypercubic Lattices in 4 dimensions
Peter Zeiner · arXiv (Cornell University) · 2006
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.