Landolt-Börnstein - Group III Condensed Matter The diffraction of electrons and positrons


This chapter provides an introduction on diffraction of electrons and positrons. When a charged particle impinges on a surface, the wave field in the vacuum is the superimposition of the incident plane wave and of a function representing the scattered wave. The total wave field must fulfill the Schrodinger equation and continuously match the solution inside the solid. Supposing the surface to be a perfect two-dimensional array of scatterers, the wave field of the scattered particle can be expressed as a Bloch wave, developed in a Fourier series. The diffraction pattern is characteristic of the translation symmetry of the surface lattice. The mere aspect of the diffraction diagram is not in itself characteristic of a single surface structure, as all structures having the same translation symmetry give the same pattern. A useful way to represent the scattering mechanism is the Ewald construction in two dimensions. The Ewald construction for low-energy electron diffraction (LEED) and reflection high-energy electron diffraction (RHEED) is illustrated.

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Title The diffraction of electrons and positrons
Book Title
Interaction of Charged Particles and Atoms with Surfaces
6.1.1 Introduction
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Landolt-Börnstein - Group III Condensed Matter
  • G. Chiarotti
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  • E. Zanazzi
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