Abstract
The specific heat of decagonal Al71.3Ni24.0Fe4.7 and icosahedral Al62Cu25.5Fe12.5 quasicrystals and the Al55.0Si7.0Cu25.5Fe12.5 cubic phase approximating the structure of the icosahedral alloy has been studied in the temperature range 4.2–40.0 K. All the three compounds exhibit low coefficients of the electronic heat capacity and pronounced deviations of the low-temperature lattice heat capacity from a cubic temperature law in the range 5–10 K. The results obtained by the thermodynamic method and inelastic neutron scattering have been compared and analyzed. It has been established that, at energies ɛ < 14 meV, the spectral density of thermal vibrations in the icosahedral quasicrystal is substantially higher than those in the cubic approximant and in decagonal quasicrystal.
Similar content being viewed by others
References
D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Phys. Rev. Lett. 53, 1951 (1984).
P. A. Bansel, P. A. Heiney, P. W. Stephens, A. I. Goldman, and P. M. Horn, Phys. Rev. Lett. 54, 2422 (1985).
M. Quiquandon, A. Quivy, S. Lefebre, E. Elkaim, G. Heger, A. Katz, and D. Gratias, Phys. Rev. B: Condens. Matter 44, 2071 (1991).
E. Huttunen-Saarivirta, J. Alloys Compd. 363, 150 (2004).
R. A. Brand, J. Pelloth, F. Hippert, and Y. Calvayrac, J. Phys.: Condens. Matter 11(39), 7523 (1999).
C. L. Henley and V. Elser, Philos. Mag. B 53, L59 (1986).
A. Quivy, M. Quiquandon, Y. Calvayrac, F. Faudot, D. Gratias, C. Berger, R. A. Brand, V. Simonet, and F. Hippert, J. Phys.: Condens. Matter 8(23), 4223 (1996).
T. Klein, C. Berger, G. Fourcaudot, J. C. Grieco, and J. C. Lasjaunias, J. Non-Cryst. Solids 153–154, 312 (1993).
K. Wang, C. Scheidt, P. Garoche, and Y. Calvayrac, J. Non-Cryst. Solids 153–154, 357 (1993).
J. C. Lasjaunias, Y. Calvayrac, and H. Yang, J. Phys. I 7, 959 (1997).
A. Inaba, R. Lortz, C. Meingast, J. Q. Guo, and A.-P. Tsai, J. Alloys Compd. 342, 302 (2002).
C. A. Swenson, T. A. Lograsso, A. R. Ross, and N. E. Anderson, Phys. Rev. B: Condens. Matter 66, 184206 (2002).
P. P. Parshin, M. G. Zemlyanov, A. V. Mashkov, R. A. Brand, A.-J. Dianoux, and Y. Calvayrac, Fiz. Tverd. Tela (St. Petersburg) 46(3), 510 (2004) [Phys. Solid State 46 (3), 526 (2004)].
P. P. Parshin, M. G. Zemlyanov, and R. A. Brand, Zh. Éksp. Teor. Fiz. 128(4), 785 (2005) [JETP 101 (4), 676 (2005)].
P. P. Parshin, M. G. Zemlyanov, and R. A. Brand, Kristallografiya 52(3), 458 (2007) [Crystallogr. Rep. 52 (3), 436 (2007)].
V. Simonet, F. Hippert, R. A. Brand, Y. Calvayrac, J. Rodriguez-Carvajal, and A. Sadoc, Phys. Rev. B: Condens. Matter 72, 024 214 (2005).
Yu. Kagan, Zh. Éksp. Teor. Fiz. 42, 1375 (1962) [Sov. Phys. JETP 15, 954 (1962)].
V. F. Sears, Neutron News 3, 26 (1992).
J. A. Ashraff and J.-M. Luck, Phys. Rev. B: Condens. Matter 41, 4314 (1990).
M. de Boissieu, K. Shibata, R. Currat, A. Q. R. Baron, S. Tsutsui, and A.-P. Tsai, J. Non-Cryst. Solids 334–335, 303 (2004).
V. S. Oskotskiĭ, Fiz. Tverd. Tela (Leningrad) 9(2), 550 (1967) [Sov. Phys. Solid State 9 (2), 420 (1967)].
S. Lyonnard, G. Coddens, Y. Calvayrac, and D. Gratias, Phys. Rev. B 53, 3150 (1996).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © G.Kh. Panova, M.G. Zemlyanov, P.P. Parshin, A.A. Shikov, R.A. Brand, 2010, published in Fizika Tverdogo Tela, 2010, Vol. 52, No. 4, pp. 718–722.
Rights and permissions
About this article
Cite this article
Panova, G.K., Zemlyanov, M.G., Parshin, P.P. et al. Low-energy lattice excitations in the decagonal Al-Ni-Fe and icosahedral Al-Cu-Fe quasicrystals and the (Al,Si)-Cu-Fe cubic phase. Phys. Solid State 52, 771–775 (2010). https://doi.org/10.1134/S1063783410040165
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063783410040165