Some considerations on how to solve the Sherman equation in practice

This article discusses the true nature of the problems involved in the solution of the Sherman equation in practice and demonstrates that the Fundamental Algorithm (FA) method, in association with its efficient calibration procedure, proposed by Rousseau in 1982, is still a valid solution. However, the author recognizes that the FA method is not the only valid one, and others have also been proposed. This article does not propose a new analytical method, but describes the three essential characteristics that any valid solution must have. It also suggests some mathematical search avenues to examine for discovering any new valid solution in the future.

[1]  P. Espen,et al.  General approach for quantitative energy dispersive x-ray fluorescence analysis based on fundamental parameters , 1991 .

[2]  R. Rousseau.  CONCEPT OF THE INFLUENCE COEFFICIENT , 2001 .

[3]  H. Beattie,et al.  Calibration Method for X-Ray Fluorescence Spectrometry , 1954 .

[4]  R. Rousseau.  Concepts of influence coefficients in XRF analysis and calibration , 1988 .

[5]  R. Rousseau.  Correction for long‐term instrumental drift , 2002 .

[6]  Koen Janssens,et al.  A general Monte Carlo simulation of ED-XRF spectrometers. II: Polarized monochromatic radiation, homogeneous samples , 1995 .

[7]  Richard M. Rousseau,et al.  Fundamental algorithm between concentration and intensity in XRF analysis 2—practical application† , 1984 .

[8]  L. S. Birks,et al.  Calculation methods for fluorescent x-ray spectrometry. Empirical coefficients versus fundamental parameters , 1968 .

[9]  N. Broll,et al.  Quantitative x‐ray fluorescence analysis by use of fundamental influence coefficients , 1983 .

[10]  Richard M. Rousseau,et al.  Fundamental algorithm between concentration and intensity in XRF analysis 1—theory , 1984 .

[11]  Freddy C. Adams,et al.  A general Monte Carlo simulation of energy-dispersive X-ray fluorescence spectrometers—I: Unpolarized radiation, homogeneous samples , 1993 .

[12]  F. Claisse,et al.  Quantitative X-Ray Fluorescence Analysis: Theory and Application , 1995 .

[13]  N. Fujino,et al.  Theoretical Correction for Coexistent Elements in Fluorescent X-Ray Analysis of Alloy Steel , 1967 .

[14]  J. P. Willis,et al.  Practical XRF Calibration Procedures for Major and Trace Elements , 1996 .

[15]  Jacob Sherman,et al.  The theoretical derivation of fluorescent X-ray intensities from mixtures , 1955 .

[16]  Marcel Bouchard,et al.  Fundamental algorithm between concentration and intensity in XRF analysis. 3—Experimental verification , 1986 .

[17]  Nobukatsu Fujino,et al.  Theoretical Calculation of Fluorescent X-Ray Intensities in Fluorescent X-Ray Spectrochemical Analysis. , 1966 .

[18]  W. K. D. Jongh.  X‐ray fluorescence analysis applying theoretical matrix corrections. Stainless steel , 1973 .