Abstract

JURADO-TARACENA, M.G.. On brillouin zones and related constructions. Rev. mex. fís. E [online]. 2011, vol.57, n.1, pp.32-37. ISSN 1870-3542.

In this paper we discuss the physical and geometrical content of the various equivalent definitions that have been given so far in the literature of a crystal's Brillouin zones. This serves as a motivation to introduce a computationally and conceptually simpler definition. Calculation of Brillouin zone related properties in two-dimensional lattices is carried out as an illustration of the versatility of this new approach, particularly a count of the number of Landsberg subzones in these Bravais lattices is given, which could be of interest for theoretical physics and number theory.

Keywords : Bravais lattices; Landsberg subzones; reduced zone scheme.