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Quantitative powder diffraction phase analysis with a combination of the Rietveld method and the addition method

Published online by Cambridge University Press:  06 March 2012

T. Balić-Žunić*
Affiliation:
Geological Institute, University of Copenhagen, Øster Voldgade 10, DK-1350 Copenhagen K, Denmark
*
a)Electronic mail: [email protected]

Abstract

The Rietveld method can be combined with the addition method to determine the absolute quantities of the phases treated by Rietveld refinement plus the quantity of phase(s) not treated by it (amorphous or unobserved). If q is the added proportion of a defined phase already present in the sample, and a1 and a2 its relative proportions as determined by Rietveld refinement prior and after the addition, the proportion of the amorphous (untreated) phase(s) in the original sample is calculated as xo=[a2−(1−q)a1q]/(1−q)(a2a1). The absolute quantities of the phases treated by Rietveld refinement are then determined by a correction for the content of the amorphous phase(s), or they can be calculated directly from specific equations. The advantage of the method is that no new variables are introduced in the refinement when the added standard already is a part of the original mixture.

Type
Technical Articles
Copyright
Copyright © Cambridge University Press 2002

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References

Balić-Žunić, T. (1996). “Addition Method in the Quantitative Analysis: Dependence of Error on the Quantity of Additive,” Mater. Sci. Forum MSFOEP 228, 4348. msf, MSFOEP CrossRefGoogle Scholar
Bish, D. L.and Howard, S. A. (1988). “Quantitative Phase Analysis Using the Rietveld Method,” J. Appl. Crystallogr. JACGAR 21, 8691. acr, JACGAR CrossRefGoogle Scholar
Copeland, L. E.and Bragg, R. H. (1958). “Quantitative X-Ray Diffraction Analysis,” Anal. Chem. ANCHAM 30, 196201. anc, ANCHAM CrossRefGoogle Scholar
Elberling, B., Balić-Žunić, T., and Edsberg, A. (2002). “Spatial variations and controls of acid mine drainage generation,” Environmental Geology (in press).CrossRefGoogle Scholar
Hill, R. J.and Howard, C. J. (1987). “Quantitative Phase Analysis from Neutron Powder Diffraction Data Using the Rietveld Method,” J. Appl. Crystallogr. JACGAR 20, 467474. acr, JACGAR CrossRefGoogle Scholar
Rietveld, H. M. (1969). “A Profile Refinement Method for Nuclear and Magnetic Structures,” J. Appl. Crystallogr. JACGAR 2, 6571. acr, JACGAR CrossRefGoogle Scholar