Use of theoretical accurate binary influence coefficients with Tertian's equation in x‐ray fluorescence analysis of silicate rocks in borax glass beads

Abstract

A study of the suitability of the Tertian algorithm using new 'accurate' binary influence coefficients and a comparison standard for x-ray fluorescence analysis of geological materials prepared as borax glass beads was performed. The algorithm was found to give satisfactory results for the analysis of four major components in geological materials. Even in the worst case, when there is a factor of 20 difference in the concentration in the specimen and a comparison standard, the algorithm gives results which differ from the true results by a factor of about 2. This makes the algorithm attractive as a diagnostic tool in analyses of unknown specimens and in the identification of appropriate standards. The binary coefficients are easily calculated so that the algorithm can be implemented on a minicomputer.

GIMPy: a software for the simulation of X‐ray fluorescence and reflectivity of layered materials

“…[5] Some analysis algorithms use a hybrid approach (theoretical influence coefficients) to extend the range of validity of the empirical calibrations. [6] Fundamental parameter methods are all based on Sherman equation [7] and include very simple algorithms calculating the fluorescence intensities for simple sample models (e.g. homogeneous samples) to very complex ones where second-order effects are taken into account like secondary excitations and layered systems.…”

“…X‐ray fluorescence analysis provides qualitative information relatively easily; quantitative information can be obtained by empirical calibration with known standards very similar to the unknown sample (empirical influence coefficients methods) or by so called ‘fundamental parameters’ methods where fluorescence intensities are calculated from first principles and compositions are adjusted to have the best possible match of the experimental and calculated intensities . Some analysis algorithms use a hybrid approach (theoretical influence coefficients) to extend the range of validity of the empirical calibrations . Fundamental parameter methods are all based on Sherman equation and include very simple algorithms calculating the fluorescence intensities for simple sample models (e.g.…”