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On the number of independent reflections in a powder diffraction pattern
Author(s) -
David W. I. F.
Publication year - 1999
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/s0021889899003428
Subject(s) - diffraction , measure (data warehouse) , bragg peak , bragg's law , optics , powder diffraction , simple (philosophy) , intensity (physics) , mathematics , materials science , physics , nuclear magnetic resonance , computer science , beam (structure) , philosophy , epistemology , database
Peak overlap in powder diffraction patterns necessarily implies that the number of visible peaks is less than the number of Bragg peaks. While the number of Bragg reflections is easily enumerated, the number of statistically independent Bragg peaks is not. In this paper, it is shown that, although there is no single or simple answer to this problem, Bragg peak intensity correlation is a well behaved statistical quantity that can be used to express a measure of the number of independent peaks.