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The limit of application of the Scherrer equation
Author(s) -
Miranda M. A. R.,
Sasaki J. M.
Publication year - 2018
Publication title -
acta crystallographica section a
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.742
H-Index - 83
ISSN - 2053-2733
DOI - 10.1107/s2053273317014929
Subject(s) - scherrer equation , crystallite , limit (mathematics) , mathematics , absorption (acoustics) , mathematical analysis , work (physics) , extinction (optical mineralogy) , materials science , physics , optics , thermodynamics , metallurgy
The Scherrer equation is a widely used tool to obtain crystallite size from polycrystalline samples. Its limit of applicability has been determined recently, using computer simulations, for a few structures and it was proposed that it is directly dependent on the linear absorption coefficient (μ 0 ) and Bragg angle (gθ B ). In this work, a systematic study of the Scherrer limit is presented, where it is shown that it is equal to approximately 11.9% of the extinction length. It is also shown that absorption imposes a maximum value on it and that this maximum is directly proportional to sin gθ B /μ 0 .