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Diffuse Scattering Intensity Distribution Associated with Static and Dynamic Atomic Position Fluctuations

JOM volume 64, pages 161–166 (2012)Cite this article

Abstract

Diffuse scattering is a general phenomenon associated with various nanoscale disorders omnipresent in crystalline solids. While it contains rich information on structural disorders, interpretation and analysis of diffuse scattering pose a great challenge because it usually contains contributions from multiple types of disorders and their respective contributions are difficult to separate. In order to extract useful information from diffuse scattering, concerted efforts in high-quality diffuse scattering intensity measurement, quantitative data analysis, theoretical interpretation, and computer simulations are required. In this theoretical work, the diffuse scattering intensity distribution associated with static and dynamic atomic position fluctuations is formulated to effectively combine with our concurrent experimental and computational works. In particular, the theoretical formulation is used to interpret diffuse scattering originated from phonon softening in precursor state of a shape-memory alloy, and, as examples of static atomic position fluctuations, diffuse scattering phenomena of modulated phases and nanotwin microstructures are also discussed.

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References

  1. A. Guinier, X-Ray Diffraction in Crystals, Imperfect Crystals, and Amorphous Bodies (San Francisco: W. H. Freeman, 1963).

    Google Scholar 

  2. M.A. Krivoglaz and A. Smirnov, The Theory of Order-Disorder in Alloys (London: MacDonald, 1964).

    Google Scholar 

  3. B.E. Warren, X-Ray Diffraction (Reading: Addison-Wesley, 1969).

    Google Scholar 

  4. K. Huang, Proceedings of Royal Society of London, 190A (1947), pp. 102–117.

  5. J.M. Cowley, J. Appl. Phys. 21, 24 (1950).

    Article  Google Scholar 

  6. A.G. Khachaturyan, Theory of Structural Transformations in Solids (New York: Wiley, 1983).

    Google Scholar 

  7. T.L. Cheng, F.D. Ma, J.E. Zhou, G. Jennings, Y. Ren, Y.M. Jin, and Y.U. Wang, JOM 64(1) (2012). doi:10.1007/s11837-011-0228-6.

  8. T.R. Welberry and D.J. Goossens, Acta Crystallogr. A A64, 23 (2008).

    Article  Google Scholar 

  9. C. Kittel, Introduction to Solid State Physics, 7th ed. (New York: Wiley, 1996).

    Google Scholar 

  10. S. Amelinckx and D. van Dyck, Electron Diffraction Techniques, Vol. 2, ed. J.M. Cowley (Oxford: Oxford University Press, 1993), pp. 309–372.

    Google Scholar 

  11. Y.U. Wang, Phys. Rev. B 74, 104109 (2006); 76, 024108 (2007).

    Google Scholar 

  12. Y.M. Jin and G.J. Weng, Acta Mater. 50, 2967 (2002).

    Article  Google Scholar 

  13. A.G. Khachaturyan, S.M. Shapiro, and S. Semenovskaya, Phys. Rev. B 43, 10832 (1991).

    Article  Google Scholar 

  14. J.A. Krumhansl, Mater. Sci. Forum 327–328, 1 (2000).

    Article  Google Scholar 

  15. A. Zheludev, S.M. Shapiro, P. Wochner, A. Schwartz, M. Wall, and L.E. Tanner, Phys. Rev. B 51, 11310 (1995).

    Article  Google Scholar 

Download references

Acknowledgements

Y.M.J. acknowledges support from NSF under Award No. DMR-0965081. Y.U.W. acknowledges support from NSF under Award No. DMR-1002521 and from Materials Sciences and Engineering Division, Office of Basic Energy Sciences (DOE) under Award No. DE-FG02-09ER46674.

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Authors and Affiliations

  1. Department of Materials Science and Engineering, Michigan Technological University, Houghton, MI, USA

    Yongmei M. Jin & Yu U. Wang

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  1. Yongmei M. Jin
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  2. Yu U. Wang
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Correspondence to Yongmei M. Jin.

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Jin, Y.M., Wang, Y.U. Diffuse Scattering Intensity Distribution Associated with Static and Dynamic Atomic Position Fluctuations. JOM 64, 161–166 (2012). https://doi.org/10.1007/s11837-011-0211-2

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  • DOI: https://doi.org/10.1007/s11837-011-0211-2

Keywords

  • Bragg Peak
  • Diffuse Scattering
  • Phonon Softening
  • Chemical Disorder
  • Diffuse Scattering Intensity

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