Advertisement

Determination of the Distortion Field in Binary Alloys

  • K. Werner
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 42)

Abstract

The distortion field induced by a substitutional defect in a simple metal has been calculated from lattice statics, using Shaw’s optimized model potential in combination with a screening function suggested by Vashishta and Singwi. Using this procedure, interactions of arbitrary range can be taken into account. In order to test the validity of the theory, the diffuse elastic cross-section, which is directly related to the Fourier transform of the distortion field, was measured experimentally with the help of a neutron scattering technique. The system under investigation was Al containing a few at% Mg. A comparison of the experimental data with the predictions of the pseudopotential concept gave quantitative agreement for a limited, but nevertheless continuous, range of momentum transfer vector. Furthermore, qualitative agreement was obtained throughout the entire experimental range. Supplementary virtual force model calculations gave, even by simulating forces upto the fourth nearest neighbour shell, no satisfactory description of the experimental cross-section.

Keywords

Binary Alloy Near Neighbour Incoherent Scattering Distortion Field Neighbour Shell 
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.
    K. Werner, Diss. Uni. Bochum, Jül.-1519, (1978).Google Scholar
  2. 2.
    W. Schmatz, in “Treatise on Materials Science and Technology”, ed. H. Hermans, Academic Press New York, 2, (1973) 105.Google Scholar
  3. 3.
    G.S. Bauer, E. Seitz and W. Just, J. Appl. Cryst. 8 (1975) 162.CrossRefGoogle Scholar
  4. 4.
    H. Kanzaki, Phys. Chem. Sol. 29 (1957) 24.MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    G. Gilat and R.M. Nicklow, Phys. Rev. 143 (1966) 487.ADSCrossRefGoogle Scholar
  6. 6.
    R. Benedek, Thesis, Cornell University (1972).Google Scholar
  7. 7.
    V. Heine, Sol. State Phys. 24 (1970) 1.CrossRefGoogle Scholar
  8. 8.
    R.W. Shaw, Jr., Phys. Rev. 174 (1968) 769.ADSCrossRefGoogle Scholar
  9. 9.
    P. Vashishta and K.S. Singwi, Phys.Rev. B6 (1972) 875.ADSGoogle Scholar
  10. 10.
    P.V.S. Rao, J. Phys. Chem. Solids 15 (1974) 669.ADSCrossRefGoogle Scholar
  11. 11.
    R. Stedman and G. Nilsson, Ark. Rys. 30 (1965) 564.Google Scholar
  12. 12.
    Z.D. Popovic, J.P. Carbotte and G.R. Piercy, J. Phys. F4 (1974), 351.ADSCrossRefGoogle Scholar
  13. 13.
    R. Evans and H.W. Finnis, J. Phys. F6 (1976) 483 ; M.D. Whitmore ibid 1259.ADSCrossRefGoogle Scholar
  14. 14.
    R. Benedek and A. Baratoff, Sol. Stat. Commun. 13 (1973) 385.ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • K. Werner
    • 1
  1. 1.Institut für FestkörperforschungKernforschungsanlage JülichJülichGermany

Personalised recommendations