%0 Journal Article %T On brillouin zones and related constructions %A Jurado-Taracena %A M.G. %J Revista mexicana de f¨Ēsica E %D 2011 %I Sociedad Mexicana de F¨Ēsica %X 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. %K bravais lattices %K landsberg subzones %K reduced zone scheme. %U http://www.scielo.org.mx/scielo.php?script=sci_abstract&pid=S1870-35422011000100006&lng=en&nrm=iso&tlng=en