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Inelastic Scattering of Fast Particles by Plasmons

  • A. A. Lucas
Part of the NATO Advanced Science Institute Series book series (NSSB, volume 88)

Abstract

This article is divided into two main parts. In the first part the basic classical concepts of bulk and surface plasmons are reviewed for different surface geometries and model hamil-tonians are constructed for the description of the approximate independent boson behaviour of these collective electronic degrees of freedom and for their interaction with charged particle probes. In the second part, a number of applications in various plasmon spectroscopies will be studied. Only cases where the semi-classical, high-energy approximation holds will be examined.

Energy loss spectra of fast charged probes will be explained for both bulk transmission and for surface reflection geometries in terms of coherent excitation of plasmons. A recent method in which the particle probe is internally excited by scattering off plasmons will also be studied.

Keywords

Inelastic Scattering Specular Reflection Grazing Incidence Fast Particle Plasmon Excitation 
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.

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References

  1. 1.
    Alternative derivations in textbooks often use special geometries such as the planar, cylindrical or spherical capacitor configurations for the fluctuation. We leave it to the student to try their elementary electrostatics on such situations as an exercice. See e.g. C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1971).Google Scholar
  2. S. Raimes, The Wave Mechanics of Electrons in Metals (North-Holland, Amsterdam 1967).Google Scholar
  3. 2.
    A number of physical systems in which spherical surface plas-mons play a role have been studied recently in: A.A. Lucas, A. Ronveaux, M. Schmeits and F. Delanaye, Phys. Rev. B12, 5372 (1975);ADSGoogle Scholar
  4. 2a).
    A number of physical systems in which spherical surface plas-mons play a role have been studied recently in: K. Ohtaka and A.A. Lucas, Phys. Rev. B18, 4643 (1978);ADSGoogle Scholar
  5. 2c).
    K. Ohtaka, H. Miyazaki and A.A. Lucas, Phys. Rev. B21, 467 (1980);ADSGoogle Scholar
  6. 2d).
    J.C. Rife, S.E. Donnelly, A.A. Lucas, J.M. Gilles and J.J. Ritsko, to be published.Google Scholar
  7. 2e).
    M. Schmeits and A.A. Lucas, Surface Sci. 64, 176 (1977);ADSCrossRefGoogle Scholar
  8. 2f).
    M. Schmeits and A.A. Lucas, Surface Sci. 74, 524 (1978).ADSCrossRefGoogle Scholar
  9. 3.
    D. Pines, Elementary Excitations in Solids, W.A. Benjamin, N.Y. (1964).MATHGoogle Scholar
  10. 4.
    A.W. Overhauser, Phys. Rev. B3, 1888 (1971).ADSGoogle Scholar
  11. 5.
    A.G. Eguiluz, Phys. Rev. B, to be published.Google Scholar
  12. 6.
    J. Rogan, J.E. Inglesfield and T.B. Grimley, J. Phys. C., to be published.Google Scholar
  13. 7.
    A.A. Lucas, E. Kartheuser and R.G. Badro, Phys. Rev. B2, 2488 (1970).ADSGoogle Scholar
  14. 8.
    G.D. Mahan, in Elementary Excitations in Solids, Molecules and Atoms, ed. by J.T. Devreese, A.B. Kunz and T.C. Collins (Plenum, London, 1974).Google Scholar
  15. 9.
    M. Sunjic and A.A. Lucas, Phys. Rev. B3, 719 (1971);ADSGoogle Scholar
  16. 9a.
    M. Sunjic and A.A. Lucas, Phys. Rev. Letters 26, 229 (1971).ADSCrossRefGoogle Scholar
  17. 10.
    A.A. Lucas, Phys. Rev. Letters 26, 813 (197l);CrossRefGoogle Scholar
  18. 10a.
    A.A. Lucas, Phys. Rev. B4, 2939 (1971).ADSGoogle Scholar
  19. 11.
    E.N. Economou and K.L. Ngai, Adv. Chem. Phys. XXVII, 265 (1974).CrossRefGoogle Scholar
  20. 12.
    A.A. Lucas and M. Sunjic, J. Vac. Science and Technology, 9, 725 (1971).ADSCrossRefGoogle Scholar
  21. 13.
    R. Gomer and L.W. Swanson, J. Chem. Phys. 38, 1613 (1963).ADSCrossRefGoogle Scholar
  22. 14.
    D. Newns, J. Chem. Phys. 50, 4572 (1969).ADSCrossRefGoogle Scholar
  23. 15.
    J. Heinrichs, Phys. Rev. B8, 1346 (1973).ADSGoogle Scholar
  24. 16.
    A.A. Lucas, in “Elementary Excitations in Solids, Molecules and Atoms”, ed. by J.T. Devreese, A.B. Kunz and T.C. Collins, NATO ASI Series B, Plenum (1974) Part A, p. 65.Google Scholar
  25. 17.
    H. Raether, Springer Tracts in Modern Physics, Vol. 88, Springer-Verlag, Berlin (1980).Google Scholar
  26. 18.
    J.O.H. Spence and A.E.C. Spargo, Phys. Rev. Letters 26, 895 (1971).ADSCrossRefGoogle Scholar
  27. 19.
    A.A. Lucas and M. Sunjic, Progress in Surface Sci., 2, 75 (1972), ed. by S.G. Davison, Pergamon Press.ADSCrossRefGoogle Scholar
  28. 20.
    Cases of Bragg reflections, charge exchange scattering and curved trajectories have been considered in A.A. Lucas andGoogle Scholar
  29. 20a.
    M. Sunjic, Surface Sci. 32, 439 (1972);CrossRefGoogle Scholar
  30. 20b.
    A.A. Lucas, Phys. Rev. B20, 4990 (1979).ADSGoogle Scholar
  31. 21.
    Handbook of Mathematical Functions, ed. by M. Abramowitz and I.A. Stegun, NBS Applied Math. Series 55 (G.P.O. Wash. D.C., 1964).MATHGoogle Scholar
  32. 22.
    C.J. Powell, Phys. Rev. 175, 972 (1968).ADSCrossRefGoogle Scholar
  33. 23.
    J. Schilling, Z. Phys. B25, 61 (1976).ADSGoogle Scholar
  34. 24.
    Classical particles such as heavy ions have been observed to exhibit Poisson-like energy distributions after interaction with a metal surface. See ref. 10.Google Scholar
  35. 25.
    A.A. Lucas, Phys. Rev. Letters 43, 1350 (1979);ADSCrossRefGoogle Scholar
  36. 25a.
    A.A. Lucas, Phys. Rev. B20, 4990 (1979).ADSGoogle Scholar
  37. 26.
    H.J. Andra, R. Fröhling, H.J. Plöhn and J.D. Silver, Phys. Rev. Lett. 37, 1212 (1976).ADSCrossRefGoogle Scholar
  38. 27.
    H. Morawitz and M.R. Philpott, Phys. Rev. 10, 4863 (1974).ADSCrossRefGoogle Scholar
  39. 28.
    K. Ohtaka and A.A. Lucas, Phys. Rev. B18, 4643 (1978).ADSGoogle Scholar
  40. 29.
    A. Messiah, Quantum Mechanics (North Holland, Amsterdam, 1963) Vol. II.Google Scholar
  41. 30.
    N.H. Tolk, J.C. Tully, J.S. Kraus, W. Heiland and S.H. Neff, Phys. Rev. Lett. 42, 1475 (1979).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • A. A. Lucas
    • 1
  1. 1.Département de PhysiqueFacultés Universitaire N.D. de la PaixNamurBelgium

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