Hostname: page-component-5db58dd55d-d6ndz Total loading time: 0 Render date: 2026-06-01T01:41:39.510Z Has data issue: false hasContentIssue false
  • English
  • Français

The effect of reference material crystallinity on absolute quantitative phase analysis using the internal standard method

Published online by Cambridge University Press:  23 October 2024

Matthew R. Rowles Open the ORCID record for Matthew R. Rowles [Opens in a new window]
Matthew R. Rowles*
Affiliation:
Microanalysis Australia, 5 Alvan St, Mt Lawley, Western Australia, Australia
*
a)Author to whom correspondence should be addressed. Electronic mail: matthew.rowles@microanalysis.com.au
Get access

Abstract

Equations are given which allow an analyst to obtain a correct absolute quantitative phase analysis via the internal standard method when a reference material with a known crystallinity of less than 100% is used. Comparisons are made with previous equations, and a numerical example is given.

Keywords

quantitative phase analysispowder diffractionRietveld refinementreference intensity ratioamorphous

Information

Type
Crystallography Education Article
Information
Powder Diffraction , Volume 39 , Issue 4 , December 2024 , pp. 224 - 226
Check for updates
Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press on behalf of International Centre for Diffraction Data

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

Bish, D. L., and Chipera, S. J.. 1987. “Problems and Solutions in Quantitative Analysis of Complex Mixtures by X-Ray Powder Diffraction.” Advances in X-ray Analysis 31: 295–308. doi:10.1154/s0376030800022102.CrossRefGoogle Scholar
Cline, J. P., Von Dreele, R. B., Winburn, R., Stephens, P. W., and Filliben, J. J.. 2011. “Addressing the Amorphous Content Issue in Quantitative Phase Analysis: The Certification of NIST Standard Reference Material 676a.” Acta Crystallographica A 67 (4): 357–67. doi:10.1107/S0108767311014565.Google ScholarPubMed
Hill, R. J., and Howard, C. J.. 1987. “Quantitative Phase Analysis from Neutron Powder Diffraction Data Using the Rietveld Method.” Journal of Applied Crystallography 20 (6): 467–74. doi:10.1107/S0021889887086199.CrossRefGoogle Scholar
Hubbard, C. R., and Snyder, R. L.. 1988. “RIR − Measurement and Use in Quantitative XRD.” Powder Diffraction 3 (2): 74–7. doi:10.1017/S0885715600013257.CrossRefGoogle Scholar
Li, H., He, M., and Zhang, Z.. 2022. “Method of Calculating the Coherent Scattering Power of Crystals with Unknown Atomic Arrangements and Its Application in the Quantitative Phase Analysis.” Powder Diffraction 37 (1): 34–9. doi:10.1017/s0885715621000609.CrossRefGoogle Scholar
Loopstra, B. O., and Rietveld, H. M.. 1969. “The Structure of Some Alkaline-Earth Metal Uranates.” Acta Crystallographica B 25 (4): 787–91. doi:10.1107/S0567740869002974.CrossRefGoogle Scholar
Madsen, I. C., Scarlett, N. V. Y., Cranswick, L. M. D., and Lwin, T.. 2001. “Outcomes of the International Union of Crystallography Commission on Powder Diffraction Round Robin on Quantitative Phase Analysis: Samples 1a to 1 h.” Journal of Applied Crystallography 34 (4): 409–26. doi:10.1107/s0021889801007476.CrossRefGoogle Scholar
Madsen, I. C., Scarlett, N. V. Y., Kleeberg, R., and Knorr, K.. 2019. Quantitative phase analysis in Gilmore, C. J., Kaduk, J. A. and Schenk, H. (Eds.), International Tables for Crystallography: Volume H Powder Diffraction (pp. 344–373). Wiley.Google Scholar
O'Connor, B. H., and Raven, M. D.. 1988. “Application of the Rietveld Refinement Procedure in Assaying Powdered Mixtures.” Powder Diffraction 3 (1): 2–6.CrossRefGoogle Scholar
Raven, M. D., and Self, P. G.. 2017. “Outcomes of 12 Years of the Reynolds Cup Quantitative Mineral Analysis Round Robin.” Clays and Clay Minerals 65 (2): 122–34. doi:10.1346/ccmn.2017.064054.CrossRefGoogle Scholar
Rietveld, H. M. 1969. “A Profile Refinement Method for Nuclear and Magnetic Structures.” Journal of Applied Crystallography 2 (2): 65–71. doi:10.1107/s0021889869006558.CrossRefGoogle Scholar
Scarlett, N. V. Y., Madsen, I. C., Cranswick, L. M. D., Lwin, T., Groleau, E., Stephenson, G., Aylmore, M., and Agron-Olshina, N.. 2002. “Outcomes of the International Union of Crystallography Commission on Powder Diffraction Round Robin on Quantitative Phase Analysis: Samples 2, 3, 4, Synthetic Bauxite, Natural Granodiorite and Pharmaceuticals.” Journal of Applied Crystallography 35 (4): 383–400. doi:10.1107/s0021889802008798.CrossRefGoogle Scholar
Toraya, H. 2016. “A New Method for Quantitative Phase Analysis Using X-Ray Powder Diffraction: Direct Derivation of Weight Fractions from Observed Integrated Intensities and Chemical Compositions of Individual Phases.” Journal of Applied Crystallography 49 (5): 1508–16. doi:10.1107/S1600576716010451.CrossRefGoogle Scholar
Westphal, T., Füllmann, T., and Pöllmann, H.. 2009. “Rietveld Quantification of Amorphous Portions with an Internal Standard − Mathematical Consequences of the Experimental Approach.” Powder Diffraction 24 (03): 239–43. doi:10.1154/1.3187828.CrossRefGoogle Scholar