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Atomic Scale Dynamics at Surfaces pp 181–226Cite as

Theory of Atom Scattering from Surface Phonons: Basic Concepts and Temperature Effects

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Part of the book series: Springer Series in Surface Sciences ((SSSUR,volume 63))

Abstract

The reflection coefficient determining the inelastic scattered intensity is defined and analysed theoretically. Various approximations including the Born approximation, the Distorted-Wave Born approximation (DWBA), the GR method and the eikonal approximation are discussed and illustrated with examples. From an expression for the DWBA inelastic reflection coefficient for n-phonon processes, factors determining the relative role of temperature for multiphonon processes and one-phonon scattering are analysed. Several approximate expressions for the Debye-Waller factor are derived and used to define experimental criteria favouring one-phonon scattering. Most of the examples dealt with are for insulator surfaces. Chapter 8 then describes the scattering theory for metal and semiconductor surfaces.

… in the likeness of the waves which in May the course of the wind makes in the cornfields, when one sees the waves running over the fields without the ears of the corn changing their place.

Leonardo da Vinci (1452–1519).

Del moto e misura dell’acqua (Ms F, 87 v).

[cited in Leonardo da Vinci,

by L. H. Heydenreich, Vol 1, p 145 (1954)]

The original version of this chapter was revised: Equations (7.33a) and (7.82) were incorrect, these have been corrected. The correction to this chapter is available at https://doi.org/10.1007/978-3-662-56443-1_15

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Authors and Affiliations

  1. Università di Milano-Bicocca, Milan, Italy

    Prof. Giorgio Benedek

  2. Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany

    Prof. Dr. Jan Peter Toennies

  3. Donostia International Physics Center, Donostia/San Sebastian, Spain

    Prof. Giorgio Benedek

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Correspondence to Giorgio Benedek .

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Benedek, G., Toennies, J.P. (2018). Theory of Atom Scattering from Surface Phonons: Basic Concepts and Temperature Effects. In: Atomic Scale Dynamics at Surfaces. Springer Series in Surface Sciences, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-56443-1_7

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