Skip to main content
Log in

General model for the site population of heavy ions implanted in metals

  • Published:
Hyperfine Interactions Aims and scope Submit manuscript

Abstract

When big heavy ions are implanted in metals, different sites for the impurities are generally found. A substitutional site is possible, as well as defect associated sites. In a general mathematical model we have tried to describe by means of a set of simultaneous differential equations the evolution of an implanted system as a function of time: direct implantation in different sites is possible and transitions from one site to another are induced due to radiation damage effects. With plausible hypotheses for the transition probabilities the solution of the system of differential equations can be obtained. From this solution it appears that the different site populations depend on the implantation parameters: dose, dose rate, temperature, combination host-impurity. Experimental verification of these dependences is in progress or has been performed.

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. J. Odeurs, R. Coussement and H. Pattyn, Proc. Int. Conf. on fundamental aspects of radiation damage in metals, Gatlinburg, 1975, ed. M.T. Robinson and F.W. Young (Oak Ridge National Lab., 1975) p. 325.

  2. H. Pattyn, R. Coussement, J. Odeurs, E. Schoeters, R.E. Silverans and L. Vanneste, Hyperfine Interactions 2 (1976) 362.

    Google Scholar 

  3. M. Van Rossum, G. Langouche, H. Pattyn,G. Dumont, J. Odeurs, A. Meykens, R. Coussement and P. Boolchand, Proc. 20th Annual Conf. on magnetism and magnetic materials, San Francisco, 1974, ed. H.C. Wolfe (AIP, New York, 1975) p. 460.

    Google Scholar 

  4. J. Odeurs, R. Coussement, H. Pattyn, G. Dumont, E. Schoeters, R.E. Silverans and L. Vanneste, Hyperfine Interactions 1 (1976) 419.

    Google Scholar 

  5. H. Pattyn, R. Coussement, G. Dumont, E. Schoeters, R.E. Silverans and L. Vanneste, Phys. Lett. 45A (1973) 131.

    Google Scholar 

  6. L.C. Feldman and D. Murnick, Phys. Rev. B 5 (1972) 1.

    Google Scholar 

  7. S.R. Reintsema, S.A. Drentje, P. Schurer and H. de Waard, Rad. Effects 24 (1975) 145.

    Google Scholar 

  8. M. Van Rossum, G. Langouche, H. Pattyn, G. Dumont, J. Odeurs, A. Meykens, P. Boolchand and R. Coussement, J. de Phys. 35 (1974) 301.

    Google Scholar 

  9. H. de Waard, R.L. Cohen, S.R. Reintsema and S.A. Drentje, Phys. Rev. B10 (1974) 3740.

    Google Scholar 

  10. R.B. Alexander, P.T. Callaghan and J.M. Poate, Phys. Rev. B 9 (1974) 3022.

    Google Scholar 

  11. P.T. Callaghan, P.K. James and N.J. Stone, Phys. Rev. B 12 (1975) 3553.

    Google Scholar 

  12. H.W. Kugel, L. Eytel, G. Hubler and D.E. Murnick, Phys. Rev. B13 (1976) 3697.

    Google Scholar 

  13. A. Sosin and W. Bauer, Studies in radiation effects in solids, ed. Dienes (Gordon and Breach, New York, 1970)p. 153.

    Google Scholar 

  14. Edwards and E.V. Kornelsen, Rad. Effects 26 (1975) 155.

    Google Scholar 

  15. C.A. English, B.L. Eyre, J. Summers and H. Wadley, Proc. Int. Conf. on fundamental aspects of radiation damage in metals, Gatlinburg, 1975, ed. M.T. Robinson and F.W. Young (Oak Ridge National Lab., 1975) p. 910.

  16. P.P. Pronko, Proc. Int. Conf. on fundamental aspects of radiation damage in metals, Gatlinburg, 1975, ed. M.T. Robinson and F.W. Young (Oak Ridge National Lab., 1975) p. 145.

  17. N.Q. Lam, J. Nucl. Materials, 56 (1975) 125.

    Google Scholar 

  18. R.W. Balluffi, Proc. Int. Meet. on properties of atomic defects in metals, Argonne 1976 J. Nucl. Materials (1977) [to be published].

  19. W. Schilling, G. Burger, K. Isebeck and H. Wenzl, Vacancies and interstitials in metals, ed. A. Seeger, D. Schumacher, W. Schilling and J. Diehl (North-Holland, Amsterdam, 1970) p. 255.

    Google Scholar 

  20. R. Averbach, R. Benedek, K. Merkle, Proc. Int. Meet. on properties of atomic defects in metals, Argonne 1976 J. Nucl. Materials (1977), [to be published].

  21. J.B. Gibson, A.N. Goland, M. Milgram and G.H. Vineyard, Phys. Rev. 120 (1960) 1229.

    Google Scholar 

  22. G. Lück and R. Sizmann, Phys. Stat. Sol. 5 (1964) 683.

    Google Scholar 

  23. K. Dettmann, G. Leibfried and K. Schroeder, Phys. Stat. Sol. 22 (1976) 423.

    Google Scholar 

  24. J.A. Horak and T.H. Blewitt, Phys. Stat. Sol. 9 (1972) 721.

    Google Scholar 

  25. J. Odeurs, R. Coussement and H. Pattyn, to be published.

  26. S.A. Drentje and J. Ekster, J. Appl. Phys. 45 (1974) 3242.

    Google Scholar 

  27. H. Bernas, Phys. Scripta 11 (1975) 167.

    Google Scholar 

  28. H. Pattyn, thesis, Leuven (1974).

  29. J. Odeurs, R. Coussement, J. De bruyn, H. Pattyn and M. Van Rossum, Proc. Int. Conf. on the application of the Mö-effect, Corfu, 1976, J. de Phys., [to be published].

  30. H. Pattyn, R. Coussement, J. De bruyn, J. Odeurs and M. Van Rossum, Proc. Int. Meet. on properties of atomic defects, Argonne, 1976 J. Nucl. Materials (1977), [to be published].

  31. H. de Waard, private communication.

  32. J. Odeurs, Internal Report IKS-LIS3.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Odeurs, J., Coussement, R. & Pattyn, H. General model for the site population of heavy ions implanted in metals. Hyperfine Interact 3, 461–477 (1977). https://doi.org/10.1007/BF01021577

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01021577

Keywords

Navigation