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Spectrum Synthesis Based on Non‐linear Addition
Author(s) -
El Bakush T. A.,
El Gomati M. M.
Publication year - 1996
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/(sici)1096-9918(199603)24:3<163::aid-sia97>3.0.co;2-c
Subject(s) - linear relationship , spectrum (functional analysis) , matrix (chemical analysis) , spectral line , linear map , value (mathematics) , matching (statistics) , mathematics , linear model , energy (signal processing) , chemistry , statistics , physics , pure mathematics , quantum mechanics , chromatography
One of the proposed approaches in the literature for quantitative analysis in AES is the linear addition of elementalspectra acquired in the direct energy mode ( N ( E ) vs. E and E · N ( E ) vs. E ). Quantification is then achieved by matching the shape of the added spectra to that of an unknown that was also collected under identical experimental conditions. However, it is shown here that the linear combination of elemental spectra employed in this approach has no real justification in theory. Any agreement with experiment found using this approach can therefore be of doubtful value. To avoid uncertainty, non‐linear addition formulae that take the matrix effects (of the substrate) into consideration are developed. Results obtained with these formulae on AuCu alloys are described. The observed success of the linear addition is explained in terms of more rigorous non‐linear addition.