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.