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Quantitative Phase Analysis: Method Developments

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Book cover Uniting Electron Crystallography and Powder Diffraction

Abstract

During the years several methods have been developed to identify and quantify the phases in our samples. The newly developed methods respond to precise needs like increasing accuracy, lowering detection limits, automatize and speed-up the process or overcome errors and limitations. Most of the last developments are based on the use of large set of data and full pattern analyses like the Rietveld method. The progresses have been stimulated by the need to analyze new and complex materials with the help of advanced hardware to collect quickly and reliably our data. Refinement of old and new methods will be presented for the quantification of phases as well as some examples. Particular cases will be treated for layered materials and thin films, bulk amorphous, textured samples and clay materials. The last frontier appears to be the combination of the diffraction with other techniques to improve the final analysis.

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References

  1. Lutterotti L, Scardi P, Tomasi A (1993) Application of the Rietveld method to phase analysis of multilayered systems. Mater Sci Forum 133–136:57–62

    Article  Google Scholar 

  2. Simek D, Kuzel R, Rafaja D (2006) Reciprocal-space mapping for simultaneous determination of texture and stress in thin films. J Appl Crystallogr 39:487–501

    Article  Google Scholar 

  3. Ferrari M, Lutterotti L (1994) Method for the simultaneous determination of anisotropic residual stresses and texture by X-ray diffraction. J Appl Phys 76(11):7246–7255

    Article  ADS  Google Scholar 

  4. Cont L, Chateigner D, Lutterotti L, Ricote J, Calzada ML, Mendiola J (2002) Combined X-ray texture-structure-microstructure analysis applied to ferroelectric ultrastructures: a case study on Pb0. 76Ca0. 24TiO3. Ferroelectrics 267:323–328

    Article  Google Scholar 

  5. Lutterotti L (2010) Total pattern fitting for the combined size-strain-stress-texture determination in thin film diffraction. Nuclear Inst Methods Phys Res B 268:334–340

    Article  ADS  Google Scholar 

  6. Ufer K, Roth G, Kleeberg R, Stanjek H, Dohrmann R, Bergmann J (2004) Description of X-ray powder pattern of turbostratically disordered layer structures with a Rietveld compatible approach. Zeitschrift für Kristallographie 219:519–527

    Article  ADS  Google Scholar 

  7. Ufer K, Kleeberg R, Bergmann J, Curtius H, Dohrmann R (2008) Refining real structure parameters of disordered layer structures within the Rietveld method. Zeitschrift für Kristallographie 27(Suppl):151–158

    ADS  Google Scholar 

  8. Lutterotti L, Voltolini M, Wenk HR, Bandyopadhyay K, Vanorio T (2010) Texture analysis of a turbostratically disordered Ca-montmorillonite. Am Miner 95:98–103

    Article  Google Scholar 

  9. Brindley GW (1945) A theory of X-ray absorption in mixed powders. Philos Mag 36:347–369

    Google Scholar 

  10. Taylor JC, Matulis CE (1991) Absorption contrast effects in the quantitative XRD analysis of powders by full multiphase profile refinement. J Appl Crystallogr 24:14–17

    Article  Google Scholar 

  11. Hill RJ, Howard CJ (1987) Quantitative phase analysis from neutron powder diffraction data using the Rietveld method. J Appl Crystallogr 20:467–474

    Article  Google Scholar 

  12. Bish DL, Howard SA (1988) Quantitative phase analysis using the Rietveld method. J Appl Crystallogr 21:86–91

    Article  Google Scholar 

  13. Elvati G, Lutterotti L (1998) Avoiding surface and absorption effects in XRD quantitative phase analysis. Mater Sci Forum 278–281:69–74

    Article  Google Scholar 

  14. Le Bail A (1995) Modelling the silica glass structure by the Rietveld method. J Non-Cryst Solids 183(1–2):39–42

    Article  ADS  Google Scholar 

  15. Lutterotti L, Ceccato R, Dal Maschio R, Pagani E (1998) Quantitative analysis of silicate glass in ceramic materials by the Rietveld method. Mater Sci Forum 278–281:87–92

    Article  Google Scholar 

  16. Le Bail A (2000) Reverse Monte Carlo and Rietveld modeling of the NaPbM2F9 (M = Fe, V) fluoride glass structures. J Non-Cryst Solids 271:249–259

    Article  ADS  Google Scholar 

  17. Lutterotti L, Campostrini R, Di Maggio R, Gialanella S (2000) Microstructural characterization of amorphous and nanocrystalline structures through diffraction methods. Mater Sci Forum 343–346:657–664

    Article  Google Scholar 

  18. Lutterotti L, Bortolotti M, Magarotto L, Deflorian C, Petricci E (2005) Rietveld structural and microstructural characterization of pharmaceutical products using the program Maud. Presented at PPXRD-4, Barcelona, Spain

    Google Scholar 

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Lutterotti, L. (2012). Quantitative Phase Analysis: Method Developments. In: Kolb, U., Shankland, K., Meshi, L., Avilov, A., David, W. (eds) Uniting Electron Crystallography and Powder Diffraction. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5580-2_21

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  • DOI: https://doi.org/10.1007/978-94-007-5580-2_21

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  • Publisher Name: Springer, Dordrecht

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  • Online ISBN: 978-94-007-5580-2

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