Simplification of a formula in the correlation of fluorescent X-ray intensities from mixtures

Calibration for interelement effects in x-ray fluorescence analysis

“…Methods of calibration which aim to account for interelement effects fall into two categories. One uses equations theoretically derived from first principles and certain physical constants and parameters (including absorption coefficients, fluorescence yields, excitation spectrum, and geometric factors) to predict the X-ray intensity emitted by an element in any prescribed sample composition (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)). An alternative is the empirical use of stan-dards to quantitatively define the extent of the interelement effect .…”

Inverse formulations of the Sherman equation for x‐ray spectrometry: A review of existing algorithms

“…1. the R-H equation (2) reduces to L-T (1) if absorption is the only interelement effect on element 1 ; not included since they only give data and test results for one specific case, viz. the Fe-Cr-Ni ternary in a limited concentration range.…”

Simultaneous determination of composition and mass thickness of thin films by quantitative x-ray fluorescence analysis

“…The equation relating the measured fluorescence intensity of a line to the composition of a thin matrix is given in Equation 1, and the meanings of all symbols used are given in Table I (11)(12)(13)(14). In order to cancel the effect of the efficiency of the spectrometer, one usually measures the ratio of the intensity of a characteristic line of the specimen to the intensity of the same line of a standard of known composition.…”