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Diffraction line profiles and Scherrer constants for materials with cylindrical crystallites
Author(s) -
Langford J. I.,
Louër D.
Publication year - 1982
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/s0021889882011297
Subject(s) - crystallite , scherrer equation , diffraction , acicular , symmetry (geometry) , materials science , hexagonal crystal system , line (geometry) , crystallography , limiting , x ray crystallography , optics , geometry , chemistry , mathematics , physics , microstructure , mechanical engineering , engineering
Calculations of diffraction line profiles and Scherrer constants for crystallites whose external shape has cubic symmetry are extended to crystallites of cylindrical shape. The analysis includes the limiting cases of acicular crystals and disks and, to a reasonable degree of approximation in many cases, to hexagonal prisms. These shapes have applications in size determination for materials which form prismatic crystallites, particularly those which belong to the hexagonal system or have been derived from substances with this symmetry.