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A Curved‐Wave Theory for EXAFS with Effective Scattering Amplitudes
Author(s) -
Fritzsche V.,
Rennert P.
Publication year - 1987
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.2221420103
Subject(s) - scattering , scattering amplitude , scattering theory , physics , plane wave , scattering length , computational physics , isotropy , amplitude , mott scattering , biological small angle scattering , plane (geometry) , optics , mathematics , small angle neutron scattering , geometry , neutron scattering
The modified small‐scattering‐centre approximation (MSSCA) is applied to the multiple‐scattering theory of EXAFS. In the MSSCA the incoming spherical electron waves are approximated in the range of the scattering potential by an isotropic spherical wave. The scattering of these isotropic spherical waves can be described by effective scattering amplitudes, which are easy to evaluate. This method is a much better description than the plane‐wave approximation routinely used in EXAFS analysis. In comparison with the plane‐wave approximation the effort is some what increased by the distance dependence of the effective scattering amplitudes. The strength of the MSSCA is that it yields simple expressions for the multiple‐scattering contributions, which improve the accuracy especially for scattering pathways involving forward scattering events considerably.