title: Diffraction line profiles from polydisperse crystalline systems.
abstract: Diffraction patterns for polydisperse systems of crystalline grains of cubic materials were calculated considering some common grain shapes: sphere, cube, tetrahedron and octahedron. Analytical expressions for the Fourier transforms and corresponding column-length distributions were calculated for the various crystal shapes considering two representative examples of size-distribution functions: lognormal and Poisson. Results are illustrated by means of pattern simulations for a f.c.c. material. Line-broadening anisotropy owing to the different crystal shapes is discussed. The proposed approach is quite general and can be used for any given crystallite shape and different distribution functions; moreover, the Fourier transform formalism allows the introduction in the line-profile expression of other contributions to line broadening in a relatively easy and straightforward way.
authors.affiliation: Dipartimento di Ingegneria dei Materiali, Università di Trento, 38050 Mesiano, TN, Italy. paolo.scardi@ing.unitn.it
authors.forename: P
authors.initials: P
authors.lastname: Scardi
authors.forename: M
authors.initials: M
authors.lastname: Leoni