Partial phonon density of states of fe in an icosahedral quasicrystal (formula presented) by inelastic nuclear-resonant absorption of 14.41-kev synchrotron radiation

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 22, 1999, Pages R14145-R14148

  Calvayrac, Y ^d  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

^b CNRS   (France)

^c EUROPEAN SYNCHROTRON RADIATION FACILITY   (France)

^d CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000754660     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.R14145     Document Type: Article

References (39)

1. D. Shechtman, I. Blech, D. Gratias, and J W. Cahn, Phys. Rev. Lett.53, 1951 (1984).
2. P. A. Kalugin, A.Yu. Kitaev, and L S. Levitov, J. Phys. (France) Lett.46, L601 (1985);
3. P. Bak, Phys. Rev. Lett.54, 1517 (1985);
4. P. BakPhys. Rev. B32, 5764 (1986).
5. G. Coddens, Ann. Chim. (Paris)18, 513 (1993);
6. G. Coddens, C. Soustelle, R. Bellissent, and Y. Calvayrac, Europhys. Lett.23, 33 (1993);
7. G. Coddens, S. Lyonnard, and Y. Calvayrac, Phys. Rev. Lett.78, 4209 (1997);
8. S. Lyonnard, G. Coddens, Y. Calvayrac, and D. Gratias, Phys. Rev. B53, 3150 (1996).
9. F. Moussa, P. Launois, M H. Lemée, and H. Cailleau, Phys. Rev. B36, 8951 (1987).
10. M. Quilichini and T. Janssen, Rev. Mod. Phys.69, 277 (1997). This review contains also many references to specific heat, thermal conductivity, ultrasound, and light-scattering data.
11. M. Quilichini, G. Heger, B. Hennion, S. Lefebvre, and A. Quivy, J. Phys. (Paris)51, 1785 (1990);
12. M. Quilichini, B. Hennion, G. Heger, S. Lefebvre, and A. Quivy, J. Phys. II2, 125 (1992).
13. A. I. Goldman, C. Stassis, R. Bellissent, H. Moudden, N. Pyka, and F W. Gayle, Phys. Rev. B43, 8763 (1991);
14. Phys. Rev. BA I. Goldman, C. Stassis, M. de Boissieu, R. Currat, C. Janot, R. Bellissent, H. Moudden, and F W. Gayle, 45, 10 280 (1992).
15. M. de Boissieu, M. Boudard, R. Bellissent, M. Quilichini, B. Hennion, R. Currat, A I. Goldman, and C. Janot, J. Phys.: Condens. Matter5, 4945 (1993);
16. M. Boudard, M. de Boissieu, A I. Goldman, B. Hennion, R. Bellissent, M. Quilichini, R. Currat, and C. Janot, Phys. Scr.T57, 84 (1994);
17. M. Boudard, M. de Boissieu, S. Kycia, A I. Goldman, B. Hennion, R. Bellissent, M. Quilichini, R. Currat, and C. Janot, J. Phys.: Condens. Matter7, 7299 (1995).
18. F. Dugain, M. de Boissieu, K. Hradil, K. Shibata, R. Currat, A.R. Kortan, A.P. Tsai, J.B. Suck, and J. Frey, International Conference on Aperiodic Crystals, “Aperiodic ’97,”Alpe d’Huez, 1997 (World Scientific, Singapore, 1998), pp. 745–750.
19. T. Klein, G. Pares, J B. Suck, G. Fourcaudot, and F. Cyrot-Lackmann, J. Non-Cryst. Solids153&154, 562 (1993);
20. J. Non-Cryst. SolidsJ B. Suck, 153&154, 573 (1993);
21. in Phonons ’89, edited by S. Hunklinger, W. Ludwig, and G. Weiss (World Scientific, Singapore, 1990), p. 397;
22. in Quasicrystalline Materials, edited by C. Janot and J.-M. Dubois (World Scientific, Singapore, 1988), p. 337;
23. J.B. Suck and H.J. Güntherodt, ibid., p. 573.
24. Y. Calvayrac, A. Quivy, M. Bessiére, M. Cornier-Quiquandon, and D. Gratias, J. Phys. (Paris)51, 417 (1990).
25. M. Seto, Y. Yoda, S. Kikuta, X W. Zhang, and M. Ando, Phys. Rev. Lett.74, 3828 (1995).
26. W. Sturhahn, T S. Toellner, E E. Alp, X. Zhang, M. Ando, Y. Yoda, S. Kikuta, M. Seto, C W. Kimball, and B. Dabrowski, Phys. Rev. Lett.74, 3832 (1995).
27. R. Rüffer and A I. Chumakov, Hyperfine Interact.97/98, 589 (1996).
28. A. I. Chumakov and R. Rüffer, Hyperfine Interact.113, 59 (1998).
29. V. G. Kohn, A I. Chumakov, and R. Rüffer, Phys. Rev. B58, 8437 (1998).
30. H. J. Lipkin, Ann. Phys. (N.Y.)18, 182 (1962).
31. A. I. Chumakov, R. Rüffer, A Q R. Baron, H. Grünsteudel, H F. Grünsteudel, and V G. Kohn, Phys. Rev. B56, 10 758 (1997).
32. G. L. Squires, Introduction to the Theory of Thermal Neutron Scattering (Cambridge, Oxford, 1971);
33. W. Marshall and S. Lovesey, Theory of Thermal Neutron Scattering (Clarendon, Oxford, 1971).
34. See, e.g., G. Coddens, R. Vacher, T. Woignier, J. Pelous, and E. Courtens, J. Phys. (Paris), Colloq.24, C4-151 (1989).
35. For a non-Bravais lattice, the different contributions are weighted by functions of the masses, concentrations, scattering lengths, etc., such that the direct relationship between the vibrational DOS and the measured function is lost. Moreover, there are coherent contributions, which in principle distort the spectrum. In the monoatomic case, the DOS can still be measured provided we integrate over all of reciprocal space, but kinematical conditions prevent one from measuring in the region of reciprocal space where the phonon velocity is larger than the neutron velocity (see Figs. 3 and 4 of the first reference in Ref. 10). In practice, one sums up by brute force the signals from all detectors and invokes a soothing argument that one has integrated over a large, unbiased and therefore representative slice of reciprocal space. [See, for example, F. Gompf, H. Lau, W. Reichert, and J. Salgado, in Proceedings of the Conference on Neutron Inelastic Scattering (IAEA, Vienna, 1972), p. 137.]
36. A. I. Chumakov, A Q R. Baron, R. Rüffer, H. Grünsteudel, H F. Grünsteudel, and A. Meyer, Phys. Rev. Lett.76, 4258 (1996).
37. The existence of the large sample used by Quilichini et al. (Ref. 6) and made by one of us (Y.C.) was an exceptional event in that it was metastable and would not have survived annealing.
38. See, for example, G P. Srivastava, The Physics of Phonons (Adam Hilger, Bristol, 1990), Sec. 2.2.2.
39. K. Achterhold, C. Keppler, U. van Buerck, W. Potzel, P. Schindelmann, E W. Knapp, B. Melchers, A I. Chumakov, A Q R. Baron, R. Rüffer, and F. Parak, Eur. Biophys. J.25, 43 (1996).