Coincidences of Hypercubic Lattices in 4 dimensions
نویسنده
چکیده
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.
منابع مشابه
2 00 7 Coincidences in 4 dimensions
The coincidence site lattices (CSLs) of prominent 4-dimensional lattices are considered. CSLs in 3 dimensions have been used for decades to describe grain boundaries in crystals. Quasicrystals suggest to also look at CSLs in dimensions d > 3. Here, we discuss the CSLs of the root lattice A4 and the hypercubic lattices, which are of particular interest both from the mathematical and the crystall...
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