JOM

, Volume 64, Issue 1, pp 167–173 | Cite as

In Situ Three-Dimensional Reciprocal-Space Mapping of Diffuse Scattering Intensity Distribution and Data Analysis for Precursor Phenomenon in Shape-Memory Alloy

  • Tian-Le Cheng
  • Fengde D. Ma
  • Jie E. Zhou
  • Guy Jennings
  • Yang Ren
  • Yongmei M. Jin
  • Yu U. Wang
Article
First Online:

Abstract

Diffuse scattering contains rich information on various structural disorders, thus providing a useful means to study the nanoscale structural deviations from the average crystal structures determined by Bragg peak analysis. Extraction of maximal information from diffuse scattering requires concerted efforts in high-quality three-dimensional (3D) data measurement, quantitative data analysis and visualization, theoretical interpretation, and computer simulations. Such an endeavor is undertaken to study the correlated dynamic atomic position fluctuations caused by thermal vibrations (phonons) in precursor state of shape-memory alloys. High-quality 3D diffuse scattering intensity data around representative Bragg peaks are collected by using in situ high-energy synchrotron x-ray diffraction and two-dimensional digital x-ray detector (image plate). Computational algorithms and codes are developed to construct the 3D reciprocal-space map of diffuse scattering intensity distribution from the measured data, which are further visualized and quantitatively analyzed to reveal in situ physical behaviors. Diffuse scattering intensity distribution is explicitly formulated in terms of atomic position fluctuations to interpret the experimental observations and identify the most relevant physical mechanisms, which help set up reduced structural models with minimal parameters to be efficiently determined by computer simulations. Such combined procedures are demonstrated by a study of phonon softening phenomenon in precursor state and premartensitic transformation of Ni-Mn-Ga shape-memory alloy.

Keywords

Bragg Peak Diffuse Scattering Phonon Dispersion Curve Precursor State Phonon Softening 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Notes

Acknowledgments

This work was supported by NSF under Award No. DMR-1002521 and by Materials Sciences and Engineering Division, Office of Basic Energy Sciences (DOE) under Award No. DE-FG02-09ER46674. Use of the Advanced Photon Source, an Office of Science User Facility operated for US DOE Office of Science by Argonne National Laboratory, was supported by DOE under Contract No. DE-AC02-06CH11357.

References

  1. 1.
    A.G. Khachaturyan, Theory of Structural Transformations in Solids (New York: Wiley, 1983).Google Scholar
  2. 2.
    J.A. Krumhansl, Mater. Sci. Forum 327–328, 1 (2000).CrossRefGoogle Scholar
  3. 3.
    L.E. Tanner, Philos. Mag. 14, 111 (1966).CrossRefGoogle Scholar
  4. 4.
    A. Zheludev, S.M. Shapiro, P. Wochner, A. Schwartz, M. Wall, and L.E. Tanner, Phys. Rev. B 51, 11310 (1995).CrossRefGoogle Scholar
  5. 5.
    Y.M. Jin and Y.U. Wang, JOM 64(1) (2012). doi: 10.1007/s11837-011-0211-2.
  6. 6.
    T.R. Welberry and D.J. Goossens, Acta Crystallogr. A A64, 23 (2008).CrossRefGoogle Scholar
  7. 7.
    T.L. Cheng, F.D. Ma, J.E. Zhou, G. Jennings, Y. Ren, Y.M. Jin, and Y.U. Wang, to be published.Google Scholar
  8. 8.
    A. Zheludev, S.M. Shapiro, P. Wochner, and L.E. Tanner, Phys. Rev. B 54, 15045 (1996).CrossRefGoogle Scholar
  9. 9.
    A. Planes, E. Obrado, A. Gonzalez-Comas, and L. Manosa, Phys. Rev. Lett. 79, 3926 (1997).CrossRefGoogle Scholar

Copyright information

© TMS 2012

Authors and Affiliations

  • Tian-Le Cheng
    • 1
  • Fengde D. Ma
    • 1
  • Jie E. Zhou
    • 1
  • Guy Jennings
    • 2
  • Yang Ren
    • 2
  • Yongmei M. Jin
    • 1
  • Yu U. Wang
    • 1
  1. 1.Department of Materials Science and EngineeringMichigan Technological UniversityHoughtonUSA
  2. 2.Argonne National LaboratoryArgonneUSA

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