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Weight function for linear least squares fit of binary CuNi and PtPd alloy Auger spectra
Author(s) -
Roos W. D.,
van Wyk G. N.,
Du Plessis J.
Publication year - 1994
Publication title -
surface and interface analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 90
eISSN - 1096-9918
pISSN - 0142-2421
DOI - 10.1002/sia.740220117
Subject(s) - auger , weighting , function (biology) , alloy , spectral line , spectrum (functional analysis) , least squares function approximation , binary number , chemistry , energy (signal processing) , mathematics , analytical chemistry (journal) , mathematical analysis , thermodynamics , atomic physics , physics , statistics , quantum mechanics , arithmetic , organic chemistry , chromatography , evolutionary biology , estimator , acoustics , biology
Abstract Linear least squares fits of an Auger spectrum of an alloy AB by a linear combination of elemental spectra A and B are usually performed without any weighting function W i (E) as a function of the energy E . Too much significance is therefore attached to the constant (or peakless) segments of the spectrum. It is shown in this paper that the difference spectrum, i.e. ( A — B ) provides a suitable weight function for this type of fitting procedure. Two examples (CuNi and PtPd) are given where large overlaps occur for low energy peaks. The linear least squares fitting procedure is also extended to the general case of a non‐uniform bulk concentration which is illustrated and discussed.