Skip to main content
SpringerLink
Log in

Quasicrystals

  • Invited Talks
  • Published:
Hyperfine Interactions Aims and scope Submit manuscript

Abstract

After some introductory remarks about quasicrystals, ME spectra of icosahedral AlMnFe-, AlCuFe- and TiNiFeSi-alloys are summarised. The results are interpreted in terms of the current understanding of the structure of quasicrystals. Further a ME-application to the stability criteria of quasicrystals is discussed. A dominant factor is the band splitting factor or the Hume-Rothery rule.

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. D. Shechtman, I. Blech, D. Gratias and H.W. Cahn, Phys. Rev. Letters 53 (1984) 1951.

    Article  ADS  Google Scholar 

  2. N.G. de Bruijn. Proc. K. Ned. Akad Wet. Ser. A 84 (1981) 39, 84 (1981) 53; J. de Physique 47 (1986) C3-9.

    Google Scholar 

  3. S.J. Poon, A.J. Drehman and K.R. Lawless, Phys. Rev. Lett. 55 (1985) 2324.

    Article  ADS  Google Scholar 

  4. R.A. Dunlap, M. McHenry, R.C. O'Handley, D. Bahadur and V. Srinivas. J. Appl. Phys. 64 (1988) 5956.

    Article  ADS  Google Scholar 

  5. P. Sainfort, B. Dubost and A. Dubus, C.R. Acad. Sci. Paris 301 II (1985) 689.

    Google Scholar 

  6. A.P. Tsai, A. Anoue and T. Masumoto, Jpn. Mater. Sci. Lett. 7 (1988) 322.

    Article  Google Scholar 

  7. P.J. Steinhardt and S. Ostland,The Physics of Quasicrystals (World Scientific, Singapore, 1987).

    Chapter  Google Scholar 

  8. Quasicrystalline Materials, Proc. ILL/CODEST Workshop on quasicrystalline materials, Grenoble, eds. J.M. Dubois and Ch. Janot (World Scientific, Singapore, 1988).

    Google Scholar 

  9. Z.M. Stadnik, G. Stroink, H. Ma and G. Williams, Phys. Rev. B39 (1989) 9797.

    Article  ADS  Google Scholar 

  10. D. Gratias, Physica Scripta T29 (1989) 38.

    Article  ADS  Google Scholar 

  11. P.W. Stephens and I.A. Goldman, Phys. Rev. Letters 56 (1986) 1168.

    Article  ADS  Google Scholar 

  12. P.M. Horn, W. Malzfeldt, D.P. DiVincenzo, J. Toner and R. Gambina, Phys. Rev. Letters 57 (1986) 1444.

    Article  ADS  Google Scholar 

  13. L. Pauling, Nature 317 (1985) 512.

    Article  ADS  Google Scholar 

  14. L.J. Swartzendruber, D. Shechtman, L. Bendersky and J.W. Cahn, Phys. Rev. B32 (1985) 1383.

    Article  ADS  Google Scholar 

  15. M. Eibschütz, H.G. Chen and J.J. Hauser, Phys. Rev. Letters 56 (1986) 169.

    Article  ADS  Google Scholar 

  16. G. Czjzek, J. Fink, F. Götz, H. Schmidt, M.D. Coey, J.-P. Rebouillot and A. Lienard, Phys. Rev. B23 (1981) 2513 and G. Czjzek, Phys. Rev. B25 (1982) 4908.

    Article  ADS  Google Scholar 

  17. R.A. Dunlap, D.W. Lawther and D.J. Lloyd, Phys. Rev. B38 (1988) 3649.

    Article  ADS  Google Scholar 

  18. F. van der Woude and P.J. Schurer, Can. J. Phys. 65 (1987) 1301; P.J. Schurer, B. Koopmans and F. van der Woude, Phys. Rev. B37 (1988) 507.

    Article  ADS  Google Scholar 

  19. A.L. Mackay, Acta Crystallogr. 15 (1962) 916.

    Article  Google Scholar 

  20. J. Ma, E.A. Stern and C.E. Bouldin, Phys. Rev. Letters 57 (1986) 1611.

    Article  ADS  Google Scholar 

  21. C.L. Henley, Phys. Rev. B34 (1986) 797.

    Article  ADS  Google Scholar 

  22. P. Guyot, M. Audier and R. Lequette, J. Phys. (Paris) Colloq. 47 (1986) C3–389; M. Audier and P. Guyot, ref. [8],Quasicrystalline Materials, Proc. ILL/CODEST Workshop on quasicrystalline materials, Grenoble, eds. J.M. Dubois and Ch. Janot (World Scientific, Singapore, 1988). p. 181.

    Article  Google Scholar 

  23. J.W. Cahn and D. Gratias, J. Phys. (Paris) Colloq. 47 (1986) C3–415.

    Article  Google Scholar 

  24. A. Sadoc, A.M. Flank, P. Lagarde, P. Sainfort and P. Bellisent, J. de Phys. (Paris) 47 (1986) C3–873.

    Google Scholar 

  25. A. Sadoc, P. Lagarde and P. Sainfort, Int. J. of Modern Physics B1 (1987) 133.

    Article  ADS  Google Scholar 

  26. A. Sadoc, A.M. Flank, P. Lagarde and J.M. Dubois, ref. [8],. p. 148

    Google Scholar 

  27. Z.M. Stadnik and G. Stroink, Phys. Rev. B38 (1988) 19447.

    Article  ADS  Google Scholar 

  28. D. Levine and P.J. Steinhardt, Phys. Rev. Letters 53 (1984) 2477.

    Article  ADS  Google Scholar 

  29. V. Elser, Phys. Rev. B32 (1985) 4892.

    Article  ADS  Google Scholar 

  30. D. Shechtman and I. Blech, Metall. Trans. A16 (1985) 1005.

    Article  Google Scholar 

  31. G. le Caër, R.A. Brand and J.M. Dubois, Hyp. Int. 42 (1988) 943.

    Article  ADS  Google Scholar 

  32. G. le Caër, J.M. Dubois and R.A. Brand in:Amorphous Metals and Non-equilibrium Processing. MRS Europe 1984, ed. Von Allmen (Editions de Physique, Paris 1984) p. 249.

    Google Scholar 

  33. R. Xu, R.D. Werkman, I. Vincze, P.J. Schurer and F. van der Woude. Hyp. Int. 45 (1989) 403.

    Article  ADS  Google Scholar 

  34. J.M. Dubois, Ch. Janot and M. de Boissieu, ref. [8],. p. 97; Ch. Janot, J.M. Dubois, J. Pannetier. M. de Boissieu and R. Fruchart, ref. [8],Quasicrystalline Materials, Proc. ILL/CODEST Workshop on quasicrystalline materials, Grenoble, eds. J.M. Dubois and Ch. Janot (World Scientific Singapore, 1988). p. 107

    Google Scholar 

  35. Ch. Janot, J. Pannetier, J.M. Dubois and M. de Boissieu, Phys. Rev. Letters 62 (1989) 450.

    Article  ADS  Google Scholar 

  36. R.A. Dunlap and K. Dini, Can. J. Phys. 63 (1985) 1267; J. Phys. F 16 (1985) 11.

    Article  ADS  Google Scholar 

  37. F.R. de Boer, R. Boom, W.C.M. Mattens, A.R. Miedema and A.K. Niessen, In:Cohension in Metals, Transition Metal Alloys, Vol. 1, eds. F.R. de Boer and D.G. Pettifor (North-Holland. 1988).

  38. G. Grüner, Adv. Phys. 23 (1974) 941.

    Article  ADS  Google Scholar 

  39. A.D. Caplin and C. Rizzuto, Phys. Rev. Letters 21 (1968) 746.

    Article  ADS  Google Scholar 

  40. D. van der Marel and G.A. Sawatzky, Phys. Rev. B37 (1988) 10674.

    Article  Google Scholar 

  41. M. Eibschütz, M.E. Lines, H.S. Chen, J.V. Warczak, G. Papaefthymiou and R.B. Frankel, Phys. Rev. Letters 59 (1987) 2443.

    Article  ADS  Google Scholar 

  42. R.D. Werkman, P.J. Schurer, I. Vincze and F. van der Woude, Hyp. Int. 45 (1989) 409.

    Article  ADS  Google Scholar 

  43. P.J. Schurer, R.D. Werkman and F. van der Woude, in ref. [8],. p. 75

    Google Scholar 

  44. W.B. Pearson,The Crystal Chemistry and Physics of Metals and Alloys (Wiley, New York, 1972) Ch. 3.

    Google Scholar 

  45. W. Hume-Rothery, J. Inst. Met. 35 (1926) 295.

    Google Scholar 

  46. H. Jones, Proc. Soc. A47 (1937) 250.

    ADS  Google Scholar 

  47. A.D. Smith and N.W. Ashcroft, Phys. Rev. Letters 59 (1987) 1365.

    Article  ADS  Google Scholar 

  48. P.A. Bancel and P.A. Heiney, Phys. Rev. B33 (1986) 7922.

    Article  ADS  Google Scholar 

  49. J. Friedel and F. Denoyer, C.R. Acad. Sci. Paris 305, II (1987) 171.

    Google Scholar 

  50. G.V. Raynor, Progress in Metal Physics 1 (1949) 1.

    Article  ADS  Google Scholar 

Download references

Author information

Author notes

  1. P. J. Schurer

    Present address: Royal Roads Military College, F.M.O., V0S 1bO, Victoria, British Columbia, Canada

Authors and Affiliations

  1. Solid State Physics Laboratory, Materials Science Centre University of Groningen, The Netherlands

    R. D. Werkman, P. J. Schurer & F. van der Woude

Authors
  1. R. D. Werkman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. J. Schurer
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. F. van der Woude
    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

Werkman, R.D., Schurer, P.J. & van der Woude, F. Quasicrystals. Hyperfine Interact 53, 241–251 (1990). https://doi.org/10.1007/BF02101050

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02101050

Keywords

Search

Navigation