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Partial multiplicity factors for texture correction of cubic structures in the disc‐shaped crystallite model
Author(s) -
Čapková P.,
Peschar R.,
Schenk H.
Publication year - 1993
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/s0021889893000810
Subject(s) - multiplicity (mathematics) , crystallite , crystallography , crystal structure , materials science , mathematics , physics , geometry , condensed matter physics , chemistry
The correction of integrated intensities for preferred orientation in the disc‐shaped crystallite model is analyzed. The partial multiplicity factors have been derived to describe the relationships between the prominent – preferentially oriented – HKL pole density P H ( α ) and the total pole density P T h ( α = 0) for any set of symmetry‐equivalent planes { hkl }. (The angle α is referred to the sample‐surface normal.) The analysis of partial multiplicity factors revealed, in all crystal systems, the preferentially oriented planes { HKL } for which the general and partial multiplicity factors are equal for all ( hkl ) and showed the { HKL } planes that require the introduction of partial multiplicity into the intensity formula. Present results enable the application of the disc‐shaped crystallite model with a simple texture correction for all kinds of preferentially oriented planes { HKL } in all crystal systems, which is especially useful for cubic structures, where the special multiplicity factors have to be used for every { HKL }.