Skip to main content
SpringerLink
Log in

Polarization effects in resonant nuclear scattering

  • Published:
Hyperfine Interactions Aims and scope Submit manuscript

Abstract

Polarization phenomena are present in every radiative transition, whether it is of atomic or nuclear origin. Nuclear resonant scattering of synchrotron radiation is an ideal technique for their study because (a) the probing radiation is in a well characterized polarization state, in most cases linear, (b) the scattered radiation can be efficiently analyzed with polarization filters, and (c) synchrotron pulses are very short compared to the lifetime of a nuclear resonance, resulting in a clean signal. In the following article we describe experimental and theoretical studies of the 14.4 keV Mössbauer resonance of 57Fe and its transitions with linear and circular polarization. After introducing the required instrumentation a formalism to calculate time dependent polarization phenomena is derived. With the help of different scattering geometries we illustrate various aspects, such as polarization mixing and selective excitation of subsets of the resonance. Perhaps the most fascinating example is the Faraday geometry where the E-vector rotates several 360ο turns during the lifetime of the resonant scattering. A comparison of this phenomenon with the optical Faraday effect is given. New powerful synchrotron radiation sources will enable researchers to exploit polarization phenomena in nuclear resonant scattering to detect subtle changes in physically and chemically relevant systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. Schütz, W. Wagner, W. Wilhelm, P. Kienle, R. Zeller, R. Frahm and G. Materlik, Phys. Rev. Lett. 58 (1987) 737.

    Google Scholar 

  2. M. Blume and O.C. Kistner, Phys. Rev. 171 (1968) 417.

    Google Scholar 

  3. E. Hecht, Optics, 2nd ed. (Addison-Wesley, Reading, MA, 1989).

    Google Scholar 

  4. M. Hart, Philos. Mag. B 38 (1978) 41.

    Google Scholar 

  5. U. Bonse and M. Hart, Appl. Phys. Lett. 7 (1965) 238.

    Google Scholar 

  6. M. Hart and A.R.D. Rodrigues, Philos. Mag. B 40 (1979) 149.

    Google Scholar 

  7. D.P. Siddons, M. Hart, Y. Amemiya and J.B. Hastings, Phys. Rev. Lett. 64 (1990) 1967.

  8. D.P. Siddons, U. Bergmann and J.B. Hastings, Phys. Rev. Lett. 70 (1993) 359.

    Google Scholar 

  9. D.P. Siddons, J.B. Hastings, U. Bergmann, F. Sette and M. Krisch, Nucl. Instrum. Methods B 103 (1995) 371.

    Google Scholar 

  10. T.S. Toellner, E.E. Alp, W. Sturhahn, T.M. Mooney, X. Xhang, M. Ando, Y. Yoda and S. Kikuta, Appl. Phys. Lett. 67 (1995) 1993.

    Google Scholar 

  11. J.P. Hannon and G.T. Trammell, Phys. Rev. 186 (1969) 306.

    Google Scholar 

  12. Yu. Kagan and A.M. Afanas'ev, Z. Naturforsch. 28a (1973) 1351.

    Google Scholar 

  13. J.D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1975).

    Google Scholar 

  14. J.P. Hannon, N.J. Carron and G.T. Trammell, Phys. Rev. B 9 (1974) 2810.

    Google Scholar 

  15. J.P. Hannon, private communication.

  16. J.G. Stevens and V.E. Stevens, Mössbauer Effect Data Index (IFI/Plenum, ISBN-0-306-65146-7, 1975).

  17. U. Bergmann, S.D. Shastri, D.P. Siddons, B.W. Batterman and J.B. Hastings, Phys. Rev. B 50 (1994) 5957.

    Google Scholar 

  18. U. Bergmann, D.P. Siddons and J.B. Hastings, Hyp. Interact. 92 (1994) 1113.

    Google Scholar 

  19. Yu. Kagan, A.M. Afanas'ev and V.G. Kohn, J. Phys. C 12 (1979) 615.

    Google Scholar 

  20. J.B. Hastings, D.P. Siddons, U. van Bürck, R. Hollatz and U. Bergmann, Phys. Rev. Lett. 66 (1991) 770.

    Google Scholar 

  21. U. van Bürck, D.P. Siddons, J.B. Hastings, U. Bergmann and R. Hollatz, Phys. Rev. B 46 (1992) 6207.

    Google Scholar 

  22. F.J. Lynch, R.E. Holland and M. Hammermesh, Phys. Rev. 120 (1960) 513.

    Google Scholar 

  23. R.V. Pound and G.A. Rebka, Jr., Phys. Rev. Lett. 4 (1960) 337.

    Google Scholar 

  24. P.B. Moon, Proc. Phys. Soc. London A 64 (1951) 76.

    Google Scholar 

  25. K.G. Malmfors, Ark. Fysik 6 (1952) 49.

    Google Scholar 

  26. R.L. Mössbauer, Z. Physik 151 (1958) 124.

    Google Scholar 

  27. R.L. Mössbauer, Naturwissenschaften 45 (1958) 538.

    Google Scholar 

  28. W.E. Lamb, Phys. Rev. 55 (1939) 190.

    Google Scholar 

  29. H. Frauenfelder, The Mössbauer Effect (Benjamin, New York, 1963).

    Google Scholar 

  30. E.J. Seppi and F. Boehm, Phys. Rev. Lett. 128 (1962) 2334.

    Google Scholar 

  31. H. Winick and S. Doniach, Synchrotron Radiation Research (Plenum, New York, 1980).

    Google Scholar 

  32. S.L. Ruby, J. Phys. Colloq. (Paris) 35 (1974) C6-209.

    Google Scholar 

  33. R.L. Cohen, G.L. Miller and K.W. West, Phys. Rev. Lett. 41 (1978) 381.

    Google Scholar 

  34. E. Gerdau, R. Rüffer, H. Winkler, W. Tolksdorf, C.P. Klages and J.P. Hannon, Phys. Rev. Lett. 54 (1985) 835.

    Google Scholar 

  35. E. Gerdau, R. Rüffer, R. Hollatz and J.P. Hannon, Phys. Rev. Lett. 57 (1986) 1141.

    Google Scholar 

  36. G.T. Trammell and J.P. Hannon, Phys. Rev. B 18 (1978) 165, and 19 (1979) 3835.

    Google Scholar 

  37. 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 

  38. U. van Bürck, R.L. Mössbauer, E. Gerdau, R. Rüffer, R. Hollatz, G.V. Smirnov and J.P. Hannon, Phys. Rev. Lett. 59 (1987) 355.

    Google Scholar 

  39. J.B. Hastings, D.P. Siddons, G. Faigel, L.E. Berman P.E. Haustein and J.R. Grover, Phys. Rev. Lett. 63 (1989) 2252.

    Google Scholar 

  40. S. Margulies and J.R. Ehrman, Nucl. Instrum. Methods 12 (1961) 131.

    Google Scholar 

  41. S.D. Shastri, private communication.

  42. R.V. Pound and G.A. Rebka, Jr., Phys. Rev. Lett. 4 (1960) 274.

    Google Scholar 

  43. M. Grote, R. Röhlsberger, M. Dimer, E. Gerdau, R. Hellmich, R. Hollatz, J. Jäschke, E. Lüken, J. Metge, R. Rüffer, H.D. Rüter, W. Sturhahn E. Witthoff, M. Harsdorff, W. Pfützner, M. Chambers and J.P. Hannon, Europhys. Lett. 17 (1991) 708.

    Google Scholar 

  44. R. Röhlsberger, E. Gerdau, M. Harsdorff, O. Leupold, E. Lüken, J. Metge, R. Rüffer, H.D. Rüter, W. Sturhahn and E. Witthoff, Europhys. Lett. 18 (1992) 561.

    Google Scholar 

  45. R. Röhlsberger, Ph.D. thesis, Hamburg (1994).

  46. B.W. Batterman and H. Cole, Rev. Modern Phys. 36 (1964) 681.

    Google Scholar 

  47. L.E. Berman, J.B. Hastings, T. Oversluizen and M. Woodle, Rev. Sci. Instrum. 63 (1992) 428.

    Google Scholar 

  48. J.W.M. DuMond, Phys. Rev. 52 (1937) 872.

    Google Scholar 

  49. D.P. Siddons, J.B. Hastings, G. Faigel, L.E. Berman, P.E. Haustein and J.R. Grover, Phys. Rev. Lett. 62 (1989) 1384.

    Google Scholar 

  50. E.E. Alp, T.M. Mooney, T. Toellner, W. Stuhrhahn, E. Witthoff, R. Röhlsberger, E. Gerdau, H. Homma and M. Kentjana, Phys. Rev. Lett. 70 (1993) 3351.

    Google Scholar 

  51. W. Sturhahn, E. Gerdau, R. Hollatz, R. Rüffer, H.D. Rüter and W. Tolksdorf, Europhys. Lett. 14 (1991) 821.

    Google Scholar 

  52. D.E. Johnson, D.P. Siddons and J.B. Hastings, Phys. Rev. B 51 (1995) 7909.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Synchrotron Light Source, Brookhaven National Laboratory, Upton, NY, 11973, USA

    D.P. Siddons & J.B. Hastings

  2. Physical Biosciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA

    U. Bergmann

Authors
  1. D.P. Siddons
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. U. Bergmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J.B. Hastings
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Siddons, D., Bergmann, U. & Hastings, J. Polarization effects in resonant nuclear scattering. Hyperfine Interactions 123, 681–719 (1999). https://doi.org/10.1023/A:1017096512347

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1017096512347

Keywords

Search

Navigation