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Approximations for the Scattering of Excited Electrons in Solids
Author(s) -
Fritzsche V.
Publication year - 1988
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221470204
Subject(s) - scattering , scattering amplitude , physics , electron , scattering length , computational physics , angular momentum , amplitude , momentum (technical analysis) , range (aeronautics) , scattering theory , excited state , born approximation , quantum electrodynamics , electron scattering , wave function , atomic physics , quantum mechanics , materials science , economics , composite material , finance
The errors of several approximations for photoelectron scattering are systematically studied as a function of the electron energy in the range from 10 to 1000 eV. The accuracy of the approximations does not improve with rising energy, as it was commonly supposed. The errors increase considerably with the angular momentum of the incident wave. The large discrepancies of the small‐scattering‐centre approximation (SSCA) are substantially reduced by means of effective scattering amplitudes in the modified small‐scattering‐centre approximation (MSSCA). Above all the reduced angular momentum expansion (RAME) has such a high degree of accuracy that allows reliable calculations of multiple‐scattering contributions for all purposes. Both the MSSCA and the RAME are further simplified in order to facilitate applications.