On some Spectacular Surface Segregation Behaviors in CuNi and PtNi Alloys Analyzed within the Tight-Binding Ising Model

  • B. Legrand
  • G. Tréglia
  • F. Ducastelle


In an alloy, the concentration near the surface can be different from the one in the bulk. This is the so-called surface segregation phenomenon [1], which is usually modelled on the basis of a description of the total energy as a sum of pair interactions. Unfortunately, it is well known that the cohesive energy of transition metals and alloys does not reduce to such a sum [2]. We will show here than, when interested in surface segregation processes, one can derive from the electronic structure of the disordered alloy an effective Ising hamiltonian containing a linear term (which proves to be very close to the difference in surface tensions between the constituents) and a quadratic one (which involves effective pair interactions). This is the recently developed Tight-Binding Ising Model (TBIM) [3].


Cohesive Energy Surface Segregation Band Filling Layer Sandwich Effective Pair Interaction 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    M.J. Kelley and V. Ponec, Progr. in Surf. Sci. 11: 139 (1981).CrossRefGoogle Scholar
  2. 2.
    J. Friedel, “The Physics of Metals”, J.M. Ziman ed., (Cambridge University Press) 340, 1969.Google Scholar
  3. 3.
    G. Tréglia, B. Legrand and F. Ducastelle, Europhys. Lett., 7:575 (1988).CrossRefGoogle Scholar
  4. 4.
    B. Velicky, F. Kirkpatrick and H. Ehrenreich, Phys. Rev. 175:747 (1968).CrossRefGoogle Scholar
  5. 5.
    F. Ducastelle, “Advanced Study Institute on Alloy Phase Stability”, Maleme (Grèce), 1987.Google Scholar
  6. 6.
    A. Bieber, F. Gautier, G. Tréglia and F. Ducastelle, Solid State Comm., 39:149 (1981).CrossRefGoogle Scholar
  7. 7.
    G. Tréglia and B. Legrand, Phys. Rev. B, 35:4338 (1987).CrossRefGoogle Scholar
  8. 8.
    R. Baudoing, Y. Gauthier, M. Lundberg and J. Rundgren, J. Phys. C, 19:2825, (1986).CrossRefGoogle Scholar
  9. 9.
    Y. Gauthier, R. Baudoing, M. Lundberg and J. Rundgren, Phys. Rev. B, 35:7867 (1987).CrossRefGoogle Scholar
  10. 10.
    B. Legrand and G. Tréglia, “The Structure of Surfaces II”, J.F. Van der Veen, M.A. Van Hove, eds., (Springer Verlag), 167, 1987.Google Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • B. Legrand
    • 1
  • G. Tréglia
    • 2
  • F. Ducastelle
    • 3
  1. 1.S.R.M.P.C.E.N. SaclayGif sur Yvette CedexFrance
  2. 2.Laboratoire de Physique des SolidesOrsay CedexFrance
  3. 3.ONERAChâtillon CedexFrance

Personalised recommendations