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- W2166937367 abstract "The crystal structures of olivine-type Mg_{2-x}Mn x SiO 4 ( x = 0, 1, 1.4 and 2) were refined using high-resolution synchrotron radiation data and the Rietveld method, adopting the new weight function with the form 1/Y_o^e;(esimeq 2) ( Y o is the observed profile intensity) [Toraya (1998). J. Appl. Cryst. 31 , 333–343]. Positional parameters were accurately determined by optimizing e in 1/Y_o^e. Derived structures were in accordance with observations on olivine structures, having a constant tetrahedral Si–O distance and octahedral metal–oxygen distances which increase linearly on substitution of octahedral atoms with those having larger atomic radii. Site-occupancy parameters of octahedral atoms were refined under various refinement conditions and could be determined within ±1.2% under the constraint of chemical composition. Deviations of x from assumed chemical compositions, when the site-occupancy parameters were refined without the constraint, were 1.0–3.5% using the new weight function; they are comparable with values obtained in single-crystal studies on Mg–Fe olivine (0.5–2.7%). The use of atomic scattering factors for fully ionized atoms gave better site-occupancy parameters, by 0.1–2.5%, than those for neutral atoms in the present analysis." @default.
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- W2166937367 title "Rietveld refinement of site-occupancy parameters of Mg<sub>2−<i>x</i></sub>Mn<sub><i>x</i></sub>SiO<sub>4</sub>using a new weight function in least-squares fitting" @default.
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- W2166937367 doi "https://doi.org/10.1107/s0021889898010206" @default.
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