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Backscattering mirrors for X-rays and Mössbauer radiation

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Abstract

Observation of exact backscattering of X-rays and studies of its energy and angular dependences; test of the validity of the dynamical theory of diffraction in the extreme case of exact backscattering; backscattering high-energy-resolution monochromators; backscattering interferometers, in particular of the Fabry–Pérot interferometer type; and precise, up to 5·10—9 Å, measurements of crystal lattice parameters: these are central topics of the paper. Special attention is paid to the selection of crystals to be used as backscattering mirrors. Noncubic crystals like Al2O3, SiC, etc., allow backscattering for X-rays with practically any energy above 10 keV. Feasibility of backscattering mirrors for Mössbauer radiation of 57Fe (14.4 keV), 151Eu (21.5 keV), 119Sn (23.9 keV), and 161Dy (25.6 keV) nuclei is demonstrated by Al2O3 crystals. A concrete design of a sapphire Fabry–Pérot–Bragg étalon is presented.

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References

  1. C. Cusatis, D. Udron, I. Mazzaro, C. Giles and H. Tolentino, Acta Cryst. A 52 (1996) 614.

    Google Scholar 

  2. Yu.V. Shvyd'ko, E. Gerdau, J. Jäschke, O. Leupold, M. Lucht and H.D. Rüter, Phys. Rev. B 57 (1998) 4968.

    Google Scholar 

  3. S. Kikuta, Y. Imai, T. Iizuka, Y. Yoda, X.-W. Zhang and K. Hirano, J. Synchrotron Rad. 5 (1998) 670.

    Google Scholar 

  4. K. Kohra and T. Matsushita, Z. Naturforsch. A 27 (1972) 484.

    Google Scholar 

  5. O. Brümmer, H.R. Höche and J. Nieber, Phys. Status Solidi A 53 (1979) 565.

    Google Scholar 

  6. A. Caticha and S. Caticha-Ellis, Phys. Rev. B 25 (1982) 971; Phys. Status Solidi A 119 (1990) 47.

    Google Scholar 

  7. W. Graeff and G. Materlik, Nucl. Instrum. Methods 195 (1982) 97.

    Google Scholar 

  8. V.I. Kushnir and E.V. Suvorov, JETP Lett. 44 (1986) 262; Phys. Status Solidi A 122 (1990) 391.

    Google Scholar 

  9. J.B. Hastings, D.E. Moncton and Y. Fujii, in: Proc. of the 1984 Workshop on High Energy Excitations in Condensed Matter, Los Alamos, NM (1982).

  10. G. Faigel, D.P. Siddons, J.B. Hastings, P.E. Haustein, J.R. Grover, J.P. Remeika and A.S. Cooper, Phys. Rev. Lett. 58 (1987) 2699.

    Google Scholar 

  11. E. Burkel, Inelastic Scattering of X-rays with Very High Energy Resolution (Springer, Berlin, 1991).

    Google Scholar 

  12. T. Ishikawa, Y. Yoda, K. Izumi, C.K. Suzuki, X.W. Zhang, M. Ando and S. Kikuta, Rev. Sci. Instrum. 63 (1992) 1015.

    Google Scholar 

  13. T.M. Mooney, T.S. Toellner, W. Sturhahn, E.E. Alp and S.D. Shastri, Nucl. Instrum. Methods A 347 (1994) 348.

    Google Scholar 

  14. A.I. Chumakov, J. Metge, A.Q.R. Baron, H. Grünsteudel, R. Rüffer and T. Ishikawa, Nucl. Instrum. Methods A 383 (1996) 642.

    Google Scholar 

  15. R. Verbeni, F. Sette, M.H. Krisch, U. Bergmann, B. Gorges, C. Halcoussis, K. Martel, C. Masciovecchio, J.F. Ribois, G. Ruocco and H. Sinn, J. Synchrotron Rad. 3 (1996) 62.

    Google Scholar 

  16. T.S. Toellner, M.Y. Hu, W. Sturhahn, K. Quast and E.E. Alp, Appl. Phys. Lett. 71 (1997) 2112.

    Google Scholar 

  17. D.P. Woodruff, D.L. Seymour, C.F. McConville, C.E. Riley, M.D. Crapper, N.P. Prince and R.G. Jones, Phys. Rev. Lett. 58 (1987) 1460.

    Google Scholar 

  18. H. Sinn, A. Bernhard, R. Röhlsberger, J. Sutter and E. Burkel, HASYLAB Jahresbericht (1998).

  19. T. Jach, Y. Zhang, R. Collela, M. de Boissieu, M. Boudard, A.I. Goldman, T.A. Lograsso, D.W. Delaney and S. Kycia, Phys. Rev. Let. 82 (1999) 2904.

    Google Scholar 

  20. V.G. Kohn, I.V. Kohn and E.A. Manykin, JETP 89 (1999) 500.

    Google Scholar 

  21. J. Sutter, E.E. Alp, G. Bortel, M.Y. Hu, P.L. Lee, W. Sturhahn and T.S. Toellner, to be published.

  22. F. Schmid, C.P. Khattak and D.M. Felt, Am. Ceram. Soc. Bull. 73(2) (1994) 39.

    Google Scholar 

  23. A. Kirfel and K. Eichhorn, Acta Crystallogr. A 46 (1990) 271.

    Google Scholar 

  24. P. Aldebert and J.P. Traverse, J. Am. Ceram. Soc. 65 (1982) 460.

    Google Scholar 

  25. A.S. Brown, M.A. Spackman and R.J. Hill, Acta Crystallogr. A 49 (1992) 513.

    Google Scholar 

  26. P. Thompson, D.E. Cox and J.B. Hastings, J. Appl. Cryst. 20 (1987) 79.

    Google Scholar 

  27. J. Lewis, D. Schwarzenbach and H.D. Flack, Acta Crystallogr. A 38 (1982) 733.

    Google Scholar 

  28. W.M. Yim and R.J. Paff, J. Appl. Phys. 45 (1973) 1456.

    Google Scholar 

  29. S. Caticha-Ellis, R. Boyce and H. Winick, Nucl. Instrum. Methods A 291 (1990) 132.

    Google Scholar 

  30. D.E. Moncton, Rev. Sci. Instrum. 67 (1996) 3380.

    Google Scholar 

  31. Yu.V. Shvyd'ko, G.V. Smirnov, S.L. Popov and T. Hertrich, JETP Lett. 53 (1991) 69.

    Google Scholar 

  32. A.Q.R. Baron, Nucl. Instrum. Methods A 352 (1995) 665.

    Google Scholar 

  33. M. Lucht, Diplomarbeit, Universität Hamburg (1998), available from http://www.rrz.unihamburg. de/hfww/publications/diploma.html.

  34. A. Reisman, M. Berkenblit, J. Cuomo and S.A. Chan, J. Electrochem. Soc. 118 (1971) 1653.

    Google Scholar 

  35. Yu.V. Shvyd'ko, J. Jäschke, M. Lucht, M. Gerken, H.D. Rüter and E. Gerdau, unpublished.

  36. Yu.V. Shvyd'ko, J. Jäschke, M. Lucht, E. Gerdau, M. Gerken, M. Lerche, H.D. Rüter and H.C.Wille, to be published.

  37. Yu.V. Shvyd'ko, M. Lucht, E. Gerdau, E. Alp and J. Sutter, to be published.

  38. Yu.V. Shvyd'ko, M. Gerken, H. Franz, M. Lucht and E. Gerdau, to be published.

  39. I. Koyama, Y. Yoda, X.W. Zhang, M. Ando and S. Kikuta, Japn. J. Appl. Phys. 35 (1996) 6297.

    Google Scholar 

  40. S. Kikuta, Hyp. Interact. 90 (1994) 335.

    Google Scholar 

  41. Yu.V. Shvyd'ko, Phys. Rev. B 59 (1999) 9132; also this issue, section III-1.3.

    Google Scholar 

  42. MOTIF, a program for fitting time spectra of nuclear resonance forward scattering, available from the anonymous ftp://i2aix04.desy.de/pub/motif/ or from the author via e-mail: yuri. shvydko@desy.de.

  43. Yu.V. Shvyd'ko and U. van Bürck, this issue, section IV-2.2.

  44. U. van Bürck, W. Potzel, P. Schindelmann, Yu.V. Shvyd'ko, E. Gerdau, O. Leupold and H.D. Rüter, Phys. Rev. A 139 (2000).

  45. R. Mansouri and R.U. Sexl, Gen. Rel. Grav. 8 (1977) 497, 515 and 809.

    Google Scholar 

  46. M. Born and M. Wolf, Principles of Optics (Pergamon Press, Oxford, 1964).

    Google Scholar 

  47. A. Steyerl and K.-A. Steinhauser, Z. Phys. B 34 (1979) 221.

    Google Scholar 

  48. A. Caticha and S. Caticha-Ellis, Phys. Status Solidi A 119 (1990) 643.

    Google Scholar 

  49. A. Caticha, K. Alberty and S. Caticha-Ellis, Rev. Sci. Instrum. 67 (1996) 3380.

    Google Scholar 

  50. V.G. Kohn, Yu.V. Shvyd'ko and E. Gerdau, to appear in Phys. Status Solidi B (2000).

  51. M. von Laue, Ergebn. Exakten Naturwiss. 10 (1931) 133.

    Google Scholar 

  52. W.H. Zachariasen, Theory of X-Ray Diffraction in Crystals (Willey, New York, 1945).

    Google Scholar 

  53. B. Batterman and H. Cole, Rev. Mod. Phys. 36 (1964) 681.

    Google Scholar 

  54. Z.G. Pinsker, Dynamical Scattering of X-rays in Crystals (Springer, Berlin, 1978).

    Google Scholar 

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  1. II. Institut für Experimentalphysik, Universität Hamburg, D-22761, Hamburg, Germany

    Yu.V. Shvyd'ko & E. Gerdau

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  1. Yu.V. Shvyd'ko
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  2. E. Gerdau
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Shvyd'ko, Y., Gerdau, E. Backscattering mirrors for X-rays and Mössbauer radiation. Hyperfine Interactions 123, 741–776 (1999). https://doi.org/10.1023/A:1017048629185

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