title: A multigrid approach to the average lattices of quasicrystals.
abstract: An average structure associated with a given quasilattice is a system composed of several average lattices that in reciprocal space produces strong main reflections. The average lattice of a quasicrystal is a useful concept closely related to the geometric description of the quasicrystal to crystal transformation and has been proved to be structurally significant. Here we calculate average structures for arbitrary two- and three-dimensional quasilattices using the dual generalized method. Additionally, closed analytical expressions for the coordinates of the average structure, the quasiperiodic lattice and its diffraction pattern are given.
authors.affiliation: Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 1-1010, 76000 Querétaro, Mexico. joselouis@fisica.unam.mx
authors.forename: J L
authors.initials: JL
authors.lastname: Aragón
authors.forename: Gerardo G
authors.initials: GG
authors.lastname: Naumis
authors.forename: M
authors.initials: M
authors.lastname: Torres