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Direct experimental method for the determination of x-ray reflection phases

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Abstract

A direct experimental method is described for the phase determination of x-ray reflections from single crystals. This method utilizes the coherent dynamical interaction of diffracted x-ray beams in a 3-beam multiple Bragg reflection to reveal the signs,S P, of triplet-phase products. This dynamical effect and the relative rotation of the crystal lattice with respect to the Ewald sphere are considered. The phase dependence of the reflected intensity profile is observed and is in agreement with the theory. It is found thatS P=S L ·S R,S L being the sign defined from the multiple diffraction line profile.S R is determined by the rotation of the crystal lattice relative to the Ewald sphere. The new method can be applied to a direct experimental determination of phases without carrying out the complicated dynamical calculations.

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References

  1. W.N.Lipscomb: Acta Crystallogr.2, 193–194 (1949)

    Google Scholar 

  2. H.Eckstein: Private communication to Lipscomb (1949)

  3. I.Fankuchen: Private communication quoted by Lipscomb (1949)

  4. M.Hart, A.R.Lang: Phys. Rev. Lett.7, 120–122 (1961)

    Google Scholar 

  5. B.Post: Phys. Rev. Lett.39, 760–763 (1977)

    Google Scholar 

  6. L.D.Chapman, D.R.Yoder, R.Colella: Phys. Rev. Lett.46, 1578–1580 (1981)

    Google Scholar 

  7. S.Miyake, K.Kambe: Acta Crystallogr.7, 218–220 (1954)

    Google Scholar 

  8. K.Kambe: J. Phys. Soc. Jpn.12, 13–31 (1975)

    Google Scholar 

  9. J.U.Madsen, R.M.J.Cotterill: Acta Crystallogr. A34, 378–384 (1978)

    Google Scholar 

  10. S.L.Chang: Phys. Rev. Lett. [submitted in July (1981)]

  11. E.Wagner: Phys. Z.21, 632 (1920); also quoted by R.M.Moon, C.G.Shull: Acta Crystallogr.17, 805–812 (1964)

    Google Scholar 

  12. M.Renninger: Z. Phys.106, 141–176 (1973)

    Google Scholar 

  13. H.Cole, F.W.Chambers, H.M.Dunn: Acta Crystallogr.15, 138–144 (1962)

    Google Scholar 

  14. P.P.Ewald: Ann. Phys. (Leipzig)49, 1–38 (1916);54, 519–597 (1917)

    Google Scholar 

  15. M.von Laue: Ergeb. Exakten Naturwiss.10, 133–158 (1931)

    Google Scholar 

  16. N.Kato: Acta Crystallogr.11, 885–887 (1958)

    Google Scholar 

  17. P.P.Ewald, Y.Heno: Acta Crystallogr. A24, 1–15 (1968)

    Google Scholar 

  18. S.L.Chang: Acta Crystallogr. A35, 543–547 (1979)

    Google Scholar 

  19. B.Post: Acta Crystallogr. A32, 292–296 (1976)

    Google Scholar 

  20. B.W.Batterman: Appl. Phys. Lett.1, 68–69 (1962)

    Google Scholar 

  21. S.L.Chang: Phys. Status Solidi A65, 553–562 (1981)

    Google Scholar 

  22. P.R.Prager: Acta Crystallogr. A27, 563–569 (1971)

    Google Scholar 

  23. S.L.Chang, S.Caticha-Ellis: Acta Crystallogr. A34, 825–826 (1978)

    Google Scholar 

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Authors and Affiliations

  1. Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-7000, Stuttgart 80, Fed. Rep. Germany

    Shih -Lin Chang

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  1. Shih -Lin Chang
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On leave from Instituto de Fisica, Universidade Estadual de Campinas, Campinas, S.P. 13100, Brazil

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Chang, S.L. Direct experimental method for the determination of x-ray reflection phases. Appl. Phys. A 26, 221–226 (1981). https://doi.org/10.1007/BF00617841

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  • DOI: https://doi.org/10.1007/BF00617841

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