Application of matrix decomposition algorithms for singular matrices to the Pawley method in Z-Rietveld

R. Oishi-Tomiyasu, M. Yonemura, T. Morishima

研究成果: Article

97 引用 (Scopus)

抜粋

Z-Rietveld is a program suite for Rietveld analysis and the Pawley method; it was developed for analyses of powder diffraction data in the Materials and Life Science Facility of the Japan Proton Accelerator Research Complex. Improvements have been made to the nonlinear least-squares algorithms of Z-Rietveld so that it can deal with singular matrices and intensity non-negativity constraints. Owing to these improvements, Z-Rietveld successfully executes the Pawley method without requiring any constraints on the integrated intensities, even in the case of severely or exactly overlapping peaks. In this paper, details of these improvements are presented and their advantages discussed. A new approach to estimate the number of independent reflections contained in a powder pattern is introduced, and the concept of good reflections proposed by Sivia [J. Appl. Cryst. (2000), 33, 1295-1301] is shown to be explained by the presence of intensity non-negativity constraints, not the intensity linear constraints.

元の言語English
ページ(範囲)299-308
ページ数10
ジャーナルJournal of Applied Crystallography
45
発行部数2
DOI
出版物ステータスPublished - 2012 2 9

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)

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