2004
DOI: 10.6028/jres.109.011
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Global Rietveld refinement

Abstract: Global optimisation methods of structure determination from powder diffraction data have risen to prominence in a relatively short space of time and they now constitute a key approach in the examination of polycrystalline molecular organic materials. A correctly formulated global optimisation approach may be regarded as a “global Rietveld refinement” that is capable of delivering accurate crystal structures from high-quality powder diffraction data. This paper focuses on how accuracy at all stages of a powder … Show more

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Cited by 20 publications
(17 citation statements)
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“…Errors in the mineral abundances from the covariance matrix of the least--squares fit are less than ~0.5% (1--σ) for all refinement results reported here, though the true errors in the refined abundances may be somewhat higher. The weighted profile residual of the Rietveld refinements are all less than ~10%, and while there is no rigorous standard for the maximum Rwp that constitutes an acceptable fit, an Rwp value of ≤10 % is considered reasonable by many authors (Bish and Post, 1993;Young, 1993;Gualtieri, 2000;Shankland, 2004;Pecharsky and Zavalij, 2005).…”
Section: Rietveld Refinement Resultsmentioning
confidence: 99%
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“…Errors in the mineral abundances from the covariance matrix of the least--squares fit are less than ~0.5% (1--σ) for all refinement results reported here, though the true errors in the refined abundances may be somewhat higher. The weighted profile residual of the Rietveld refinements are all less than ~10%, and while there is no rigorous standard for the maximum Rwp that constitutes an acceptable fit, an Rwp value of ≤10 % is considered reasonable by many authors (Bish and Post, 1993;Young, 1993;Gualtieri, 2000;Shankland, 2004;Pecharsky and Zavalij, 2005).…”
Section: Rietveld Refinement Resultsmentioning
confidence: 99%
“…Rietveld refinement uses a numerical model of a diffraction experiment, (including the incident radiation, the instrument, and the structure and composition of the scattering matter) to create a simulated diffraction pattern. The simulated diffraction pattern is then compared with the measured diffractogram for that sample, and nonlinear least--squares optimization of the model parameters (instrumental parameters, abundances and crystallographic parameters of the mineral(s) present) carried out to find the best fit of the model parameters to the diffractogram (Rietveld, 1969;Young et al, 1977;Young, 1993;Shankland, 2004). Rietveld refinement is capable of accurately quantifying the modal mineralogy of complex mixtures (e.g., Bish and Post, 1993;Gualtieri, 2000;Shankland, 2004;Wilson et al, 2006).…”
Section: Rietveld Refinement Methodsmentioning
confidence: 99%
“…A full refinement of atomic positions was not attempted as, generally, the position, orientation and conformation of the molecular fragments have much greater impact on structure solution than bond lengths. Varying bond lengths within "chemically sensible" parameters usually has small impact on the cost function used for Rietveld refinement [12]. Moreover, in order to even attempt a full refinement, better data, for example collected using synchrotron radiation, would be necessary and, for molecular fragments of this complexity, probably not sufficient.…”
Section: Crystal Structure Determinationmentioning
confidence: 99%
“…Rietveld refinement uses nonlinear least squares optimization to fit a calculated diffraction pattern to measured powder diffraction data [ Bish and Post , 1993; Rietveld , 1967; Shankland , 2004; Young et al , 1977]. The theoretical diffraction pattern is a function of all relevant geometrical, specimen and experimental parameters.…”
Section: Powder X‐ray Diffraction and Rietveld Refinementmentioning
confidence: 99%
“…In this study, we characterize EL and EH chondrites spanning the full range of textural alteration grades using X‐ray diffraction (XRD) and reflectance infrared (IR) spectroscopy. The XRD data are used to determine quantitative mineral abundances by Rietveld refinement [e.g., Bish and Post , 1993; Gualtieri , 2000; Pecharsky and Zavalij , 2005; Scarlett et al , 2002; Shankland , 2004]. Refined mineral abundances are then used to calculate grain densities.…”
Section: Introductionmentioning
confidence: 99%