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Some further considerations in particle‐size broadening
Author(s) -
Wilson A. J. C.
Publication year - 1971
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889871007441
Subject(s) - parallelepiped , tetrahedron , range (aeronautics) , constant (computer programming) , particle (ecology) , mathematics , particle size , octahedron , mathematical analysis , physics , geometry , materials science , chemistry , quantum mechanics , ion , oceanography , computer science , composite material , programming language , geology
The diffraction profile and its moments are obtained for particle‐size broadening, the expressions being `exact' in the kinematic approximation for crystals of simple shapes (parallelepiped, tetrahedron, octahedron, sphere). A further term in the variance‐range curve is obtained, depending on Mitra's parameter 34, for which the name `rotundity parameter' is proposed. The effect of a distribution of particle sizes is discussed; the Scherrer constant and the taper parameter are affected in a way already known, and M is unaffected.