Influence of crystallite shape on particle size broadening of Debye-Scherrer reflections

Abstract

Formulae for the Scherrer constant K _β , the variance Scherrer constant K _ω and the taper parameter L _ω for crystals having the external shapes of a triangular prism, a square prism, a hexagonal prism and a cylinder have been obtained in terms of the reflection indices and proportionality factors,viz., the ratio of the height of the crystal to the square root of its basal area and the ratio of the two lattice constants of the unit cell. The numerical values of K _β , K _ω and L _ω have also been computed for direct application in particular cases.