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X-Ray Diffraction and Reflectivity

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Practical Materials Characterization

Abstract

A concise review of X-ray diffraction (XRD) and reflectivity (XRR) analytical methods is presented. Basic concepts required for proper data acquisition and interpretation are introduced with several graphs and diagrams: X-ray scattering and diffraction processes, the concept of atomic interspacing d, Bragg’s law, reciprocal space and Ewald sphere. The key features from conventional XRD results are discussed, in combination with a review of modern instrument configurations, proper choice of optics and types of sample and detector scans. Powder diffraction analysis methods are presented by using a walk-through practical example: search/match phase analysis, preferred orientation, crystallite/grain size estimation, structure determination and Rietveld refinement method. Extensive discussion of thin film analysis by XRD and XRR is presented with focus on texture, lattice mismatch, strain relaxation and defects. High resolution reciprocal lattice mapping is presented in detail including discussion of a complex layered structure. Finally, XRR methods are presented with focus on thin film, density and roughness determination. Strength and limitations of each method are presented in comparison with competing analytical techniques.

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References

  1. He BB (2011) Two-dimensional X-ray diffraction. Wiley, Hoboken, NJ

    Google Scholar 

  2. Suryanarayana C, Norton MG (1998) X-ray diffraction—a practical approach. Plenum, New York, NY

    Book  Google Scholar 

  3. Warren BE (1990) X-ray diffraction. Dover Publications, Dover, NY

    Google Scholar 

  4. Pecharsky VK, Zavalij PY (2003) Fundamentals of powder diffraction and structure characterization of materials. Kluwer Academic Press, New York, NY

    Google Scholar 

  5. Birkholz M (2006) Thin films analysis by X-ray scattering. Wiley-VCH, Weinheim

    Google Scholar 

  6. Fewster P (2001) X-ray scattering from semiconductors. Imperial College, London

    Google Scholar 

  7. Buhrke VE, Jenkins R, Smith DK (1998) A practical guide for the preparation of specimens for X-ray fluorescence and X-ray diffraction analysis. Wiley-VCH, New York, NY

    Google Scholar 

  8. Dr. Kabekkodu S (ed) (2010) ICDD PDF-4+ 2010 (database). International Centre for Diffraction Data, Newtown Square, PA

    Google Scholar 

  9. Balzar D (1999) Voigt-function model in diffraction line-broadening analysis. In: Snyder RL, Bunge HJ, Fiala J (eds) Defect and microstructure analysis from diffraction, International Union of Crystallography Monographs on Crystallography No. 10. Oxford University Press, New York, NY, pp 94–126

    Google Scholar 

  10. Young RA (ed) (2000) The Rietveld method. Oxford Press, Oxford

    Google Scholar 

  11. Shin C-S, Kim Y-W, Gall D, Greene JE, Petrov I (2002) Phase composition and microstructure of polycrystalline and epitaxial TaN x layers grown on oxidized Si(001) and MgO(001) by reactive magnetron sputter deposition. Thin Solid Films 402:172–182

    Article  Google Scholar 

  12. Lotgering FK, Inorg J (1959) Topotactical reactions with ferrimagnetic oxides having hexagonal crystal structures—I. J Inorg Nucl Chem 9:113–123

    Article  Google Scholar 

  13. Engler O, Randle V (2012) Introduction to texture analysis: macrotexture, microtexture, and orientation mapping. CRC Press, Boca Raton, FL

    Google Scholar 

  14. Sardela MR, Hanson GV (1995) Thermal relaxation kinetics of strained Si/Si 1−x Ge x heterostructures determined by direct measurement of mosaicity and lattice parameter variations. J Vac Sci Tech A 13:314

    Article  Google Scholar 

  15. Chason E, Mayer TM (1997) Thin film and surface characterization by specular X-ray reflectivity. Crit Rev Solid State Mater Sci 22:1–67

    Article  Google Scholar 

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Correspondence to Mauro R. Sardela Jr. .

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Sardela, M.R. (2014). X-Ray Diffraction and Reflectivity. In: Sardela, M. (eds) Practical Materials Characterization. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9281-8_1

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