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Multiple CSLs for the body centered cubic lattice

Peter Zeiner
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Abstract

Ordinary Coincidence Site Lattices (CSLs) are defined as the intersection of a lattice $Γ$ with a rotated copy $RΓ$ of itself. They are useful for classifying grain boundaries and have been studied extensively since the mid sixties. Recently the interests turned to so-called multiple CSLs, i.e. intersections of $n$ rotated copies of a given lattice $Γ$, in particular in connection with lattice quantizers. Here we consider multiple CSLs for the 3-dimensional body centered cubic lattice. We discuss the spectrum of coincidence indices and their multiplicity, in particular we show that the latter is a multiplicative function and give an explicit expression of it for some special cases.

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Peter Zeiner. 2006-05-18. Multiple CSLs for the body centered cubic lattice. https://doi.org/10.1088/1742-6596%2F30%2F1%2F019

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