Advertisement

Journal of Materials Science

, Volume 29, Issue 3, pp 640–644 | Cite as

Lattice dynamics and specific heat of Al-Si and Al-Ge solid solutions

  • T. Soma
  • I. Kitabatake
  • H. M. Kagaya
Papers

Abstract

A simplified treatment has been proposed to study quantitatively the lattice dynamics of Al-Si and Al-Ge alloy systems by solid-solutioning under pressure. The volume and electron density effects on the lattice dynamics of the pure constituents aluminium, silicon or germanium are considered, and the phonon dispersion relations of the local and band modes were obtained. Then, the concentration dependence of the local and band mode frequencies were calculated for the Al1−xSix and Al1−xGex systems. Using the local and band mode frequencies, the lattice specific heat at constant volume was determined theoretically, and results obtained for the temperature-dependent specific heat of matrix aluminium were found to be in good agreement with the experimental data. The concentration dependence of the specific heat could then be predicted quantitatively for Al1−xSix and Al1−xGex alloy systems.

Keywords

Solid Solution Dispersion Relation Germanium Concentration Dependence Constant Volume 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    T. Soma, Y. Funayama and H.-Matsuo Kagata, J. Mater. Sci. 25 (1990) 3917.CrossRefGoogle Scholar
  2. 2.
    T. Soma, S. Takashima and H.-Matsuo Kagaya, ibid. 27 (1992) 1184.CrossRefGoogle Scholar
  3. 3.
    M. Mostoller and T. Kaplan, Phys. Rev. B 16 (1977) 2350.CrossRefGoogle Scholar
  4. 4.
    W. A. Kamitakahara and J. R. D. Copley, ibid. 18 (1978) 3772.CrossRefGoogle Scholar
  5. 5.
    G. Grünewald and R. Schopohl, J. Phys. F 9 (1979) 1047.CrossRefGoogle Scholar
  6. 6.
    G. Jacucci, M. L. Klein and R. Taylor, Solid State Commun. 24 (1977) 685.CrossRefGoogle Scholar
  7. 7.
    idem, Phys. Rev. B 18 (1978) 3782.CrossRefGoogle Scholar
  8. 8.
    T. Soma, H. Ohsugi and H.-Matsuo Kagaya, Phys. Status Solidi (b) 124 (1984) 525.CrossRefGoogle Scholar
  9. 9.
    R. Stedman and G. Nilson, Phys. Rev. 145 (1966) 492.CrossRefGoogle Scholar
  10. 10.
    Y. S. Touloukian, R. K. Kirby, R. E. Taylor and T. Y. R. Lee, “Thermophysical Properties of Matter, Vol. 4, Specific Heat” (IFI/Plenum, New York, 1970).Google Scholar
  11. 11.
    P. C. Trivedi, J. Phys. F. 1 (1971) 262.CrossRefGoogle Scholar

Copyright information

© Chapman & Hall 1994

Authors and Affiliations

  • T. Soma
    • 1
  • I. Kitabatake
    • 1
  • H. M. Kagaya
    • 1
  1. 1.Department of Applied Physics and MathematicsMining College, Akita UniversityAkitaJapan

Personalised recommendations