2012
DOI: 10.1107/s0021889812003998
|View full text |Cite
|
Sign up to set email alerts
|

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

Abstract: 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 … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

4
128
0

Year Published

2013
2013
2021
2021

Publication Types

Select...
9
1

Relationship

1
9

Authors

Journals

citations
Cited by 236 publications
(132 citation statements)
references
References 15 publications
4
128
0
Order By: Relevance
“…For both measurements X-ray generator was used by Cu-Kα radiation and applied 40 kV and 30 mA, and 2θ region covered from 10° to 90° by 0.02° steps. All crystal structure analysis by Rietveld method was performed using Z-Rietveld, version 0.9.42.4 [11,12]. Profile function is setting by Type A-1, and asymmetry parameters are used as the axial divergence model according to Finger-Cox-Jephcoat [13].…”
Section: Experimental and Data Analysismentioning
confidence: 99%
“…For both measurements X-ray generator was used by Cu-Kα radiation and applied 40 kV and 30 mA, and 2θ region covered from 10° to 90° by 0.02° steps. All crystal structure analysis by Rietveld method was performed using Z-Rietveld, version 0.9.42.4 [11,12]. Profile function is setting by Type A-1, and asymmetry parameters are used as the axial divergence model according to Finger-Cox-Jephcoat [13].…”
Section: Experimental and Data Analysismentioning
confidence: 99%
“…The lattice parameters (a, b, c) and unit cell volume (V M ) were refined by Rietveld analysis using Z-Rietveld software (ver.1.0.2) [15,16]. In the Rietveld refinement, the initial composition for the primary and secondary phases was taken as [12].…”
Section: Materials Characterizationmentioning
confidence: 99%
“…Rietveld refinements for TOF powder ND data were performed using the program Z-Rietveld. 22), 23) The ND data between 0.275 and 0.290 nm were excluded from the Rietveld refinements, because extra peaks (originate from the second shots of fast neutron passing through disk-choppers) appeared in this data range in the wide-d mode measurements.…”
Section: Introductionmentioning
confidence: 99%