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Quantitative x‐ray fluorescence analysis by use of fundamental influence coefficients
Author(s) -
Broll N.,
Tertian R.
Publication year - 1983
Publication title -
x‐ray spectrometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 45
eISSN - 1097-4539
pISSN - 0049-8246
DOI - 10.1002/xrs.1300120108
Subject(s) - ternary operation , binary number , coefficient matrix , matrix (chemical analysis) , mathematics , variation (astronomy) , statistical physics , computer science , physics , materials science , arithmetic , quantum mechanics , eigenvalues and eigenvectors , astrophysics , composite material , programming language
The rigorous relationship existing between effective fundamental coefficients, as expressed by Tertian's identities, and Sherman's basic equations for x‐ray fluorescence intensities is recalled. The properties of these coefficients in the case of binary systems are described, for usual as well as for some anomalous situations, and a general, accurate hyperbolic equation is suggested to account for coefficient variation with composition. The properties of effective coefficients in the general case of multicomponent systems (alloys, etc.) are then examined, and illustrated on the typical FeNiCr ternary system, confirming the essential exactness of this approach. As a consequence, the authors propose to make use of calculated effective coefficients to apply mathematical matrix corrections, and give a first outline of the analytical procedure.