Which distributions of matter diffract? An initial investigation. (English) Zbl 0693.52002

Bombieri, E.; Taylor, Jean E.

J. Phys. 47, Colloq. C3, Suppl. au No. 7, 19-28 (1986).

A more detailed version of this paper has appeared elsewhere and is being reviewed in Contemp. Math. 64, 241-264 (1987; Zbl 0617.43002).

MSC:

52C07	Lattices and convex bodies in \(n\) dimensions (aspects of discrete geometry)
11H31	Lattice packing and covering (number-theoretic aspects)
52C17	Packing and covering in \(n\) dimensions (aspects of discrete geometry)
82D25	Statistical mechanics of crystals
43A60	Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions

Keywords:

quasicrystals; Fourier transform; density; tilings; substitution rules; quasi-periodicity

Citations:

Zbl 0617.43002