Skip to main content
Log in

μ+SR in magnetically ordered BCC metals: Local fields, μ+ sites, quantum diffusion, and strain effects

  • Session 1. Diffusion/Localization
  • Published:
Hyperfine Interactions Aims and scope Submit manuscript

Abstract

The paper gives a critical discussion of the procedures for extracting from theμ +SR signals obtainable on magnetically ordered metals information onμ + sites, on local lattice distortions induced by theμ +, on the local magnetic fields felt by theμ +, and on quantum diffusion. Results forα-Fe are:μ + occupy O sites, the tetragonality of the elastic double-force tensor isA−B ≈ 2eV, the dipolar magnetic field acting on theμ + isB dip=(0.66±0.02)T. Using this informationμ + hopping rates and diffusivities in Fe are deduced and compared with diffusivities obtained for hydrogen and deuterium. From this it is concluded that hydrogen in Fe diffuses via the adiabatic mechanism. In addition, the paper contains a brief summary of the theoretical background required for taking advantage of the rather large ¦A B¦ values expected forμ + at O sites in bcc metals in order to gain information on the effects of energy asymmetries between neighbouringμ + sites on the μ+ hopping rates.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H.-D. Carstanjen, phys. stat. sol.(a)59 (1980) 11.

    Google Scholar 

  2. T. Springer, in: Hydrogen in Metals I, Topics in Appl. Phys.28, eds. G. Alefeld and J. Völkl (Springer, Berlin 1978) pp. 75–100.

    Google Scholar 

  3. H. Sugimoto and Y. Fukai, Phys. Rev.B22 (1980) 670.

    Google Scholar 

  4. A. Klamt and H. Teichler, phys. stat. sol.(b)134 (1986) 103.

    Google Scholar 

  5. M. J. Puska and R. M. Nieminen, Phys. Rev.B29 (1984) 5382.

    Google Scholar 

  6. G. Leibfried and H. Breuer, Point Defects in Metals, Springer Tracts in Modern Physics, Vol.81 (Springer, Berlin 1978).

    Google Scholar 

  7. H. Peisl, in: Hydrogen in Metals I, Topics in Appl. Phys.28, eds. G. Alefeld and J. Völkl (Springer, Berlin 1978) pp. 53–74.

    Google Scholar 

  8. H. Dosch, J. Peisl, and B. Dorner, Phys. Rev.B35 (1987) 3069.

    Google Scholar 

  9. E. J. Savino and A. Seeger, Scripta Metallurgica15 (1981) 431.

    Google Scholar 

  10. H. Krimmel, L. Schimmele, C. Elsässer, and M. Fähnle, to be submitted to J. Phys. Condens. Matter.

  11. A. Seeger, in: Hydrogen in Metals I, Topics in Appl. Phys.28, eds. G. Alefeld and J. Völkl (Springer, Berlin 1978) pp. 349–397.

    Google Scholar 

  12. A. Seeger and L. Schimmele, in: Perspectives of Meson Science, eds. T. Yamazaki, K. Nakai and K. Nagamine (Elsevier, 1992) pp. 293–382.

  13. A. Seeger, Hyperfine Interactions17–19 (1984) 75.

    Google Scholar 

  14. E. Yagi, H. Bossy, K.-P. Döring, M. Gladisch, D. Herlach, H. Matsui, H. Orth, G. zu Pulitz, A. Seeger, and J. Vetter, Hyperfine Interactions8 (1981) 553.

    Google Scholar 

  15. L. Schimmele, A. Seeger, T. Stammler, W. Tempi, C. Baines, T. Grund, M. Hampele, D. Herlach, M. Iwanowski, K. Maier, J. Major, and T. Pfiz, these proceedings.

  16. A. Fritzsche, M. Hampele, D. Herlach, K. Maier, J. Major, L. Schimmele, A. Seeger, W. Staiger, W. Templ, and C. Baines, Hyperfine Interactions63–65 (1990) 691.

    Google Scholar 

  17. Y. Hayashi, H. Hagi, and A. Tahara, Z. Phys. Chem. Neue Folge164 (1989) 815.

    Google Scholar 

  18. D. Herlach, V. Claus, K. Fürderer, J. Major, A. Seeger, L. Schimmele, M. Schmolz, W. Staiger, W. Templ, and E. Yagi, Z. Phys. Chem. Neue Folge164 (1989) 1041.

    Google Scholar 

  19. D. Emin, M. I. Baskes, and W. D. Wilson, Phys. Rev. Lett.42 (1979) 791.

    Google Scholar 

  20. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys.59 (1987) 1.

    Google Scholar 

  21. U. Weiss, Quantum dissipative systems, (World Scientific, Singapore, 1993).

    Google Scholar 

  22. T. Regelmann, A. Fritzsche, L. Schimmele, and H. Teichler, to be published in Z. Phys.

  23. T. Regelmann, L. Schimmele, and A. Seeger, to be submitted to Z. Phys.

  24. T. Regelmann, A. Fritzsche, L. Schimmele, and A. Seeger, these proceedings.

  25. A. Fritzsche, PhD Thesis, Universität Stuttgart 1992.

  26. J. Kondo, PhysicaB125 (1984) 279.

    Google Scholar 

  27. Y. Kagan and N. Prokof'ev, Sov. Phys. JETP69 (1989) 1250.

    Google Scholar 

  28. Y. Kagan and N. Prokof'ev, J. Low Temp. Phys.87 (1992) 525.

    Google Scholar 

  29. H. Wipf, D. Steinbinder, K. Neumaier, P. Gutsmiedl, A. Magerl, and A. Dianoux, Europhys. Lett.4 (1987) 1379.

    Google Scholar 

  30. H. Teichler and A. Seeger, Phys. Lett.82A (1981) 91.

    Google Scholar 

  31. U. Gösele, in: Progress in Reaction Kinetics, Vol. 13, No. 2, eds. K. R. Jennings, R. B. Cundall, and D. W. Margerum (Pergamon Press, Oxford, 1984) pp. 63–162.

    Google Scholar 

  32. Y. Kagan and N. Prokof'ev, Phys. Lett.A159 (1991) 289.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schimmele, L., Seeger, A. μ+SR in magnetically ordered BCC metals: Local fields, μ+ sites, quantum diffusion, and strain effects. Hyperfine Interact 85, 45–57 (1994). https://doi.org/10.1007/BF02069401

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02069401

Keywords

Navigation