Calculation features of the fundamental parameter method in XRF

Kitov, B. I.

doi:10.1002/1097-4539(200007/08)29:4<285::aid-xrs428>3.0.co;2-c

Cited by 15 publications

(5 citation statements)

References 11 publications

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“…That would explain the experimental Sr Kβ/Kα ratio being slightly lower than the model's predicted value. A related effect is the likely Sr concentration overestimate which implies low values of Sr Kα and Sr Kβ signals in Equations ( 23) and (24).…”

Section: Discussionmentioning

confidence: 99%

“…In Equations ( 23) and (24), Sr Kα and Sr Kβ signals were extracted from Table 4 and corresponded to the OGIP X-ray beam positions which were 20.8 mm and 23.6 mm for LB and LBOL samples, respectively. Quantities 𝑁 𝑁 , and 𝑁 denoted the number of incident photons and number of detected Sr Kα and Sr Kβ photons, respectively.…”

Section: Sr Concentration Estimatesmentioning

confidence: 99%

“…Initial FPM formulations did not include XRF contributions from coherently and incoherently scattered photons or from electron excitations. Later refinements of the FPM included: secondary XRF [18], scattered photons [19][20][21][22], mathematical and computational treatments [23][24][25], non-parallel X-rays [26], and treatment of XRF observed in a transmitting geometry [27]. FPM was successfully applied to thickness measurements of layers and coatings [28][29][30], elemental composition of metallic alloys and multilayered samples [31,32], and treatment of depth-dependent elemental distributions [33].…”

Section: Introductionmentioning

confidence: 99%

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A Two-Dimensional K-Shell X-ray Fluorescence (2D-KXRF) Model for Soft Tissue Attenuation Corrections of Strontium Measurements in a Cortical Lamb Bone Sample

Gherase

2023

Metrology

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Human bones store elements such as calcium, phosphorus, and strontium, and accumulate toxic elements such as lead. In vivo measurements of elemental bone concentration can be done using X-ray fluorescence (XRF) techniques. Monte Carlo (MC) simulations of X-ray interactions were predominantly employed in this field to develop calibration methods that linked XRF measurements to concentrations. A simple and fast two-dimensional K-shell X-ray fluorescence model was developed to compute the KXRF signal of elements in bone and overlying soft tissue samples. The model is an alternative to MC methods and can guide future bone XRF studies. Contours of bone and soft tissue cross sections were elliptical and only KXRF signals from absorption of primary photons were considered. Predictions of the model were compared to Sr KXRF measurements using the bare lamb bone (LB) and the LB with overlying leather. XRF experiments used a small X-ray beam, silicon X-ray detector, and three positioning stages. Linear attenuation coefficients of the leather and LB were measured and used in the model. Measured and model-derived values of the Sr X-rays leather attenuation and Sr Kβ/Kα ratio agreed, but estimated bone Sr concentrations were likely overestimated. Results, approximations, future work directions, and applications were discussed.

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Section: Discussionmentioning

confidence: 99%

Section: Sr Concentration Estimatesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Two-Dimensional K-Shell X-ray Fluorescence (2D-KXRF) Model for Soft Tissue Attenuation Corrections of Strontium Measurements in a Cortical Lamb Bone Sample

Gherase

2023

Metrology

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“…Matrix correction is certainly required because the abovementioned least-squares linear regression fits are far from "perfect" (r ≠ +1.00000; in fact, r < 1; n � 60; r � 0.95229-0.99638 for the OLR and r � 0.97715-0.99760 for the UWLR; Table S4). ere is a vast literature on the subject of matrix effects in XRF and their correction procedures [63][64][65][66][67][68][69][70][71][72][73][74][75]. In this study, the Lachance-Traill algorithm [73] was used for the matrix effect correction [63,71].…”

Section: Matrix-effect-corrected Intensities and Grm Concentrations: mentioning

confidence: 99%

Statistically Coherent Calibration of X-Ray Fluorescence Spectrometry for Major Elements in Rocks and Minerals

Verma

Rivera-Gómez

et al. 2018

Journal of Spectroscopy

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We applied both the ordinary linear regression (OLR) and the new uncertainty weighted linear regression (UWLR) models for the calibration and comparison of a XRF machine through 59 geochemical reference materials (GRMs) and a procedure blank sample. The mean concentration and uncertainty data for the GRMs used for the calibrations (Supplementary Materials) (available here) filewere achieved from an up-to-date compilation of chemical data and their processing from well-known discordancy and significance tests. The drift-corrected XRF intensity and its uncertainty were determined from mostly duplicate pressed powder pellets. The comparison of the OLR (linear correlation coefficient r∼0.9523–0.9964 and 0.9771–0.9999, respectively, for before and after matrix correction) and UWLR models (r∼0.9772–0.9976 and 0.9970–0.9999, respectively) clearly showed that the latter with generally higher values of r is preferable for routine calibrations of analytical procedures. Both calibrations were successfully applied to rock matrices, and the results were generally consistent with those obtained in other laboratories although the UWLR model showed mostly narrower confidence limits of the mean (slope and intercept) or lower uncertainties than the OLR. Similar sensitivity (∼2.69–46.17 kc·s−1·%−1 for the OLR and ∼2.78–59.69 kc·s−1·%−1 for the UWLR) also indicated that the UWLR could advantageously replace the OLR model. Another novel aspect is that the total uncertainty can be reported for individual chemical data. If the analytical instruments were routinely calibrated from the UWLR model, this action would make the science of geochemistry more quantitative than at present.

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“…The detailed mathematics and calibration features of the FP method and some of the practical approaches that can be adopted for the solution of the FP correction equations was reviewed in detail by Kitov. 66 It is normally the case for FP correction algorithms that the excitation spectrum is either measured or calculated. However, an interesting method was proposed 67 in which the excitation spectrum was described by means of measurements taken from a set of either thick or thin pure element samples.…”

Section: Matrix Correction and Calibration Proceduresmentioning

confidence: 99%

Atomic Spectrometry Update. X-ray fluorescence spectrometry

Potts

Ellis

Kregsamer³

et al. 2001

J. Anal. At. Spectrom.

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Reviews 2 Instrumentation 2.1 General instrumentation and excitation sources 2.2 Detectors 3 Spectrum evaluation, matrix correction and calibration procedures 3.1 Spectrum evaluation 3.2 Matrix correction and calibration procedures 4 X-ray optics 5 Synchrotron radiation 6 Total reflection X-ray fluorescence spectrometry (TXRF) 7 Portable and mobile XRF 8 On-line XRF 9 Applications 9.1 Sample preparation 9.2 Preconcentration techniques 9.3 Geological 9.4 Environmental 9.5 Archaeological and forensic 9.6 Industrial 9.7 Clinical and biological 9.8 Thin films 9.9 Chemical state analysis and speciationThis annual review of X-ray fluorescence covers developments over the period 2000-2001 in instrumentation and detectors, matrix correction and spectrum analysis software, X-ray optics and microfluorescence, synchrotron XRF, TXRF, portable XRF and on-line applications as assessed from the published literature. The review also covers a survey of applications, including sample preparation, geological, environmental, archaeological, forensic, biological, clinical, thin films, chemical state and speciation studies. During the current review period, publications have demonstrated the development of sub-100 nm X-ray beams for SR microprobe analysis together with the wider use of WD spectrometers in this application. There is evidence of an extension of the application of XRF as a reference technique, with XRF increasingly being used in modern laboratories in place of older wet-chemical methods, and computer-modelling studies continue to be popular in extending the understanding of various XRF phenomena. Some interesting work has been undertaken in the measurement of radiative Auger effects using high-resolution WDXRF instruments. However, the potential for future developments in XRF is illustrated by research into ultra-high resolution microcalorimeter detector devices, which are still at the experimental stage and have not yet progressed to the status of useful practical devices.

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Calculation features of the fundamental parameter method in XRF

Cited by 15 publications

References 11 publications

A Two-Dimensional K-Shell X-ray Fluorescence (2D-KXRF) Model for Soft Tissue Attenuation Corrections of Strontium Measurements in a Cortical Lamb Bone Sample

A Two-Dimensional K-Shell X-ray Fluorescence (2D-KXRF) Model for Soft Tissue Attenuation Corrections of Strontium Measurements in a Cortical Lamb Bone Sample

Statistically Coherent Calibration of X-Ray Fluorescence Spectrometry for Major Elements in Rocks and Minerals

Atomic Spectrometry Update. X-ray fluorescence spectrometry

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