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One Hundred Years of Diffuse X-ray Scattering

  • Symposium: Neutron and X-Ray Studies of Advanced Materials VI: Diffraction Centennial and Beyond
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Abstract

It is not generally appreciated that X-ray diffuse scattering has been known for almost as long as the Bragg scattering that is used in crystal structure determination. While we are celebrating the centenary of the birth of crystallography, marked by the first diffraction of X-rays by a crystal (Laue) and the formulation of Bragg’s Law that laid the foundation for crystal structure determination, it is salutary to remember that diffuse scattering was observed in the very earliest experiments. Within a few years, in a paper on mixed crystals, Laue showed that occupational disorder produces a continuous background scattering between the Bragg peaks—the so-called Laue monotonic scattering. In this brief review, we trace the development of diffuse scattering methods over the course of a century.

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Notes

  1. The United Nations has declared that 2014 will be the official International Year of Crystallography.

References

  1. Röntgen WC (1896) Nat. Biotechnol.. 53:274–276

    Google Scholar 

  2. Friedrich W, Knipping P, Laue Mv (1913) Ann. Phys.. 346(10):971–988

    Article  Google Scholar 

  3. Bragg WL (1913) Proc. Camb. Phil. Soc. 17:43–57

    Google Scholar 

  4. IUCr. Nobel Prize winners associated with crystallography. http://www.iucr.org/people/nobel-prize, 2013.

  5. W. Schweika: Disordered Alloys: Diffuse Scattering and Monte Carlo Simulations, Springer, Berlin, 1998.

  6. Yamamoto T, Choi M-S, Majima S, Fukuda T, Kakeshita T (2008) Eur. Phys. J. Spec. Top. 158:1–5

    Article  Google Scholar 

  7. Pasciak M, Welberry TR, Kulda J, Kempa M, Hlinka J (2012) Phys. Rev. B 85:224109

    Article  Google Scholar 

  8. Izquierdo M, Megtert S, Albouy JP, Avila J, Valbuena MA, Gu G, Abell JS, Yang G, Asensio MC, Comes R (2006) Phys. Rev. B 74(5):054512

    Article  Google Scholar 

  9. Welberry TR, Pasciak M (2011) Metall. Mater. Trans. A 42A:6–13

    Article  Google Scholar 

  10. Barchuk M, Holy V, Miljevic B, Krause B, Baumbach T, Hertkorn J, Scholz F (2010) J. Appl. Phys. 108:043521

    Article  Google Scholar 

  11. Laue Mv (1918) Ann.. Phys.. 361(15):497–506

    Article  Google Scholar 

  12. T.R. Welberry: Diffuse X-Ray Scattering and Models of Disorder, Oxford University Press, Oxford, 2004.

  13. Harburn G, Taylor CA, TR Welberry (1975) Atlas of Optical Transforms. G. Bell, London

    Google Scholar 

  14. Proffen Th (2000) Z. Kristallogr. 215:661–68

    Google Scholar 

  15. Wooster WA (1962) Diffuse X-ray Reflections from Crystals. Oxford University Press, Oxford

    Google Scholar 

  16. R.B. Neder and T. Proffen: Diffuse Scattering and Defect Structure Simulations: A Cook Book Using the Program DISCUS, Oxford University Press, Oxford, 2008.

  17. Nield VM, Keen DA (2001) Diffuse Neutron Scattering from Crystalline Materials. OUP, Oxford

    Google Scholar 

  18. Ewald PP (1913) Z. Phys. 14:465–472

    Google Scholar 

  19. Friedrich W (1913) Phys. Z. 14:1079–1087

    Google Scholar 

  20. Debye PP (1914) Ann. Phys., Lpz. 43:49–95

    Google Scholar 

  21. Brillouin LN (1922) Ann. Phys. Paris. 17:88–122

    Google Scholar 

  22. Faxén H (1923) Z. Phys. 17:266–278

    Article  Google Scholar 

  23. Waller I (1923) Z. Phys., 17:398–408

    Article  Google Scholar 

  24. I. Waller: Dissertation, Uppsala University Arsskr., 1925.

  25. Lonsdale K, Smith H (1941) Proc. R. Soc. Lond. A 179:8–50

    Article  Google Scholar 

  26. Garrido J (1948). Acta Crystallogr. 1(1):3–4

    Article  Google Scholar 

  27. Lonsdale K (1948) Acta Crystallogr. 1(1):12–20

    Article  Google Scholar 

  28. Hendricks SB (1940) Phys. Rev. 57:448–454

    Article  Google Scholar 

  29. Edwards OS, Lipson H (1942) Proc. R. Soc. Lond. Ser. A 180:268–277

    Article  Google Scholar 

  30. Lipson H, Stokes AR (1942) Proc. R. Soc. Lond. Ser. A 181:101–105

    Article  Google Scholar 

  31. Sykes C, Jones FW (1936) Proc. Roy. Soc. Lond. Series A 157:213–233

    Article  Google Scholar 

  32. Bond WL (1955) Acta Crystallogr. 8(12):741–746

    Article  Google Scholar 

  33. Ladell J, Lowitzsch K (1960) Acta Crystallogr. 13(3):205–215

    Article  Google Scholar 

  34. Warren BE, Averbach BL, Roberts BW (1951) J. Appl. Phys. 22:1493–1496

    Article  Google Scholar 

  35. Cowley JM (1950) J. Appl. Phys. 21:24–30

    Article  Google Scholar 

  36. Borie B (1957) Acta Crystallogr. 10(2):89–96

    Article  Google Scholar 

  37. Borie B, Sparks Jnr CJ (1971) Acta Crystallogr. A 27:198–201

    Article  Google Scholar 

  38. Tibballs JE (1975) J. Appl. Crystallogr. 8:111–114

    Article  Google Scholar 

  39. Georgopoulos P, Cohen JB (1977) J Phys. Colloque. 38:191–196

    Google Scholar 

  40. Lonsdale K (1929) Proc. R. Soc. Lond. Ser. A 123:494–515

    Article  Google Scholar 

  41. Lonsdale K (1931) Proc. R. Soc. Lond. Ser. A 133:536–552

    Article  Google Scholar 

  42. Lonsdale K (1947) Philos. Trans. R. Soc. Lond. Ser. A 240:219–250

    Article  Google Scholar 

  43. Glazer AM (1970) Philos. Trans. R. Soc. Lond. Ser. A 266:635–639

    Article  Google Scholar 

  44. Flack HD (1970) Philos. Trans. R. Soc. Lond. Ser. A 266:583–591

    Article  Google Scholar 

  45. Wilson AJC (1949) X-Ray optics. London: Methuen

    Google Scholar 

  46. Amorós JL, Amorós M (1968) Molecular Crystals: Their Transforms and Diffuse Scattering. New York: Wiley

    Google Scholar 

  47. Onsager L (1944) Phys. Rev. 65:117–149

    Article  Google Scholar 

  48. Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E (1953) J. Chem. Phys. 21:1087–1092

    Article  Google Scholar 

  49. Wikipedia. https://en.wikipedia.org/wiki/Ferranti_Pegasus.

  50. Kakinoki J, Komura Y (1965) Acta Crystallogr. 19:137–147

    Article  Google Scholar 

  51. Welberry TR (1973) Proc. R. Soc. Lond. Ser. A 334:19–48

    Article  Google Scholar 

  52. Welberry TR (1983) J. Appl. Crystallogr. 16:192–197

    Article  Google Scholar 

  53. Welberry TR, Siripitayananon J (1986) Acta Crystallogr. Sect. B 42:262–272

    Article  Google Scholar 

  54. Welberry TR, Glazer AM (1985) Acta Crystallogr. Sect. A 41:394–399

    Article  Google Scholar 

  55. Wölfel ER (1983) J. Appl. Crystallogr. 16:341–348

    Article  Google Scholar 

  56. Osborn JC, Welberry TR (1990) J. Appl. Crystallogr. 23:476–484

    Article  Google Scholar 

  57. Cosier J, Glazer AM (1986) J. Appl. Crystallogr. 19:105–07

    Article  Google Scholar 

  58. Welberry TR, Hua GL, Withers RL (1989) J. Appl. Crystallogr. 22:87–95

    Article  Google Scholar 

  59. Welberry TR, Jones RDG (1980) J. Appl. Crystallogr. 13:244–251

    Article  Google Scholar 

  60. Butler BD, Welberry TR (1992) J. Appl. Crystallogr. 25:391–399

    Article  Google Scholar 

  61. Butler BD, Welberry TR (1992) J. Appl. Crystallogr. 25:801–802

    Article  Google Scholar 

  62. Welberry TR, Mayo SC (1996) J. Appl. Crystallogr. 29:353–364

    Article  Google Scholar 

  63. Butler BD, Welberry TR (1994) J. Appl. Crystallogr. 27:742–754

    Article  Google Scholar 

  64. Estermann MA, Steurer W (1998) Phase Transitions. 67:165–195

    Article  Google Scholar 

  65. Welberry TR, Goossens DJ, Heerdegen AP, Lee PL (2005) Z. Krist. 220:1052–1058

    Google Scholar 

  66. Wikipedia. http://en.wikipedia.org/wiki/Moore's_law.

  67. Kraft P, Bergamaschi A, Broennimann Ch, Dinapoli R, Eikenberry EF, Henrich B, Johnson I, Mozzanica A, Schlepütz CM, Willmott PR, Schmitt B (2009) J. Synchrotron Radiat. 16:368–375

    Article  Google Scholar 

  68. Weber T, Deloudi S, Kobas M, Yokoyama Y, Inoue A, Steurer W (2008) J. Appl. Crystallogr. 41:669–674

    Article  Google Scholar 

Download references

Acknowledgments

The support of the Australian Research Council, the Australian Synchrotron Research Program, and the NCI National Facility at the ANU is gratefully acknowledged. Use of the Advanced Photon Source was supported by the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under Contract No. DE-AC02-06CH11357.

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Correspondence to T. R. Welberry.

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Manuscript submitted June 6, 2013.

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Welberry, T.R. One Hundred Years of Diffuse X-ray Scattering. Metall Mater Trans A 45, 75–84 (2014). https://doi.org/10.1007/s11661-013-1889-2

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