Cluster Scattering in Amorphous Semiconductors and Liquid Metals

  • Jaime Keller
Part of the The IBM Research Symposia Series book series (IRSS)


Although the study of the electronic structure and derived properties of condensed matter has been one area of great development in the past decade, attention has been focused mainly on the band structure of crystalline solids, their fermi surfaces, etc. In recent years some understanding of the electronic properties of random alloys in periodic or almost periodic lattices has been obtained through the use of the coherent potential, the virtual crystal approximations, etc. The theoretical study of the electron structure of disordered crystals, amorphous materials and liquids, monotomic and molecular alloys rests mainly in semiempirical rules or ad hoc theoretical models. The study of non-crystalline materials through the use of more realistic Hamiltonians is now of basic importance not only to understand optical and electrical properties as such, but also to explain chemical behavior in solids and liquids, catalysis, clustering, etc. as well as cluster and molecular magnetism.


Short Range Order Neighbor Distance Condensed System Amorphous Semiconductor Free Electron Density 


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  1. 1.
    J. Korringa, Physica 13, 392 (1947); and W. Kohn and N. Rostoker, Phys. Rev. 94, 1111 (1954).CrossRefGoogle Scholar
  2. 2.
    P. Lloyd, Proc. Phys. Soc. 90, 207 (1967).CrossRefGoogle Scholar
  3. 3.
    J. L. Beeby, Proc. Roy. Soc. (London) A279, 82 (1964).CrossRefGoogle Scholar
  4. 4.
    J. Keller, J. Phys. C: Solid St. Phys..4, 3143 ( 1971 ); J. Keller, J., Phys. Suppl., Menton Conference (1971).CrossRefGoogle Scholar
  5. 5.
    J. Keller, J. Phys. C: Solid St. Phys. 4, 1, L85 (1971).CrossRefGoogle Scholar
  6. 6.
    J. M. Ziman, J. Phys. Suppl., Menton Conference (1971).Google Scholar
  7. 7.
    R. Evans and J. Keller, J. Phys. C: Solid St. Phys. 4, 3155 (1971).CrossRefGoogle Scholar
  8. 8.
    A. R. Williams and J. W. Morgan, to be published.Google Scholar
  9. 9.
    J. C. Slater, Phys. Rev. 81, 385; and 82, 538 (1951).CrossRefGoogle Scholar
  10. 10.
    W. Kohn and L. J. Sham, Phys. Rev. 140, A1133 (1965).CrossRefGoogle Scholar
  11. 11.
    J. C. Slater and K. H. Johnson, Phys. Rev. B5, 844 (1972).CrossRefGoogle Scholar
  12. 12.
    F. Herman, J. P. Van Dyke and I. B, Ortenburger, Phys. Rev. Letters 22, 807 (1969).CrossRefGoogle Scholar
  13. 13.
    P. Lloyd, Multiple Scattering in Liquid Metals, unpublished (1969).Google Scholar
  14. 14.
    A. Messiah, Quantum Mechanics (Amsterdam), (1961).Google Scholar
  15. 15.
    J. Keller and P. V. Smith, J. Phys. C. Solid St. Phys. 5, 1109 (1972).CrossRefGoogle Scholar
  16. 16.
    T. C. McGill and J. Klima, J. Phys. C. 3, L163 (1970).CrossRefGoogle Scholar
  17. 17.
    R. P. Messmer and G. D. Watkins, Phys. Rev. Letters 25, 656 (1970); R. P. Messmer, General Electric Report No. 71-C-150 (1971); and present volume.CrossRefGoogle Scholar
  18. 18.
    K. H. Johnson, J. Chem. Phys. 45, 3085 (1966); K. H. Johnson and F. C. Smith, Phys. Rev. B5, 831 (1972) (see paper in this volume for a description of their work).CrossRefGoogle Scholar
  19. 19.
    L. Schwartz and H. Ehrenreich, Ann. Phys. 64, 100 (1971).CrossRefGoogle Scholar
  20. 20.
    P. W. Anderson and W. L. McMillan, Proc. Int. School Physics, Enrico Fermi, ed. W. Marshall ( New York: Academic Press, 1967 ).Google Scholar
  21. 21.
    P. Soven, Phys. Rev. 156, 809 (1967).CrossRefGoogle Scholar
  22. 22.
    T. Spiridonov and J. Keller, to be published.Google Scholar
  23. 23.
    J. Keller and R. Jones, J. Phys. F. Metal Phys. L33, 36 (1971).Google Scholar
  24. 24.
    J. Keller and J. M. Ziman, paper at Fourth Int. Conf. on Amorphous and Liquid Semiconductors, Ann Arbor, Michigan (August 1971), published in J. Non-Crystalline Solids 8/9, 111 (1972).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1973

Authors and Affiliations

  • Jaime Keller
    • 1
  1. 1.Facultad de QuímicaUniversidad Nacional Autónoma de MéxicoMéxico 20, D.F.Mexico

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