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P. Schattschneider, C. Hébert, H. Franco, B. Jouffrey:
"Anisotropic relativistic cross sections for inelastic electron scattering, and the magic angle";
Physical Review B, 72 (2005), 045142-1 - 045142-8.

Anisotropic relativistic cross sections for inelastic electron scattering, and the magic angle
P. Schattschneider, C. Hébert, and H. Franco

Inst. f. Festkörperphysik, TU Wien, Wiedner Hauptstraße 8-10, A-1040 Wien, Austria
B. Jouffrey

Laboratoire MSS-Mat, École Centrale Paris, CNRS-UMR8579, Grande Voie des Vignes, 92295 Châtenay Malabry Cedex, France
(Received 19 January 2005; published 26 July 2005)

The knowledge of the inelastic double differential scattering cross section (DDSCS) is of utmost importance for microanalysis in electron energy loss spectrometry (EELS) in the electron microscope and for the investigation of electron energy loss near edge structure (ELNES). Calculations are usually based on a nonrelativistic first-order Born approximation. Relativistic corrections were thought to be important only for primary beam energies much higher than 300 keV. A semirelativistic correction taking into account the relativistic mass change of the probe electron was considered sufficient. We review the relativistic expression of the inelastic double differential scattering cross section (DDSCS) originally given by Møller. We show that the virtual photon exchange proposed by Fano need not be considered separately. The interference terms between longitudinal and transverse exitations cannot be neglected in anisotropic systems. This explains the surprisingly small magic angle.

©2005 The American Physical Society

URL: http://link.aps.org/abstract/PRB/v72/e045142

doi:10.1103/PhysRevB.72.045142

PACS: 79.20.Uv, 78.70.-g

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http://aleph.ub.tuwien.ac.at/F?base=tuw01&func=find-c&ccl_term=AC05938075

http://dx.doi.org/10.1103/PhysRevB.72.045142