The Resolution of X-Ray Fluorescence Spectra by the Least Squares Method

1978 ◽  
Vol 22 ◽  
pp. 337-342
Author(s):  
Colin G. Sanderson
Keyword(s):  
Least Squares ◽  
Fluorescence Spectra ◽  
Gamma Ray ◽  
Least Squares Method ◽  
Computer Programs ◽  
Energy Dispersive ◽  
X Ray ◽  
Computer Codes

Least squares computer programs have been used for the resolution of complex gamma-ray spectra obtained from NaI(Tl) detectors for many years. With the addition of computer codes, which account for the differences “between gamma-ray and x-ray fluorescence spectra, these same programs can be used to quantify energy dispersive x-ray fluorescence data.

X-ray fluorescence spectra quantitative analysis based on characteristic spectra optimization of partial least-squares method

2014 ◽  
Vol 12 (s2) ◽  
pp. S23001-323005
Author(s):  
Wei Zhang Wei Zhang ◽  
Lianfei Duan Lianfei Duan ◽  
Luozheng Zhang Luozheng Zhang ◽  
Yujun Zhang Yujun Zhang ◽  
Liuyi Ling Liuyi Ling ◽  
...  
Keyword(s):  
Quantitative Analysis ◽  
Least Squares ◽  
Partial Least Squares ◽  
Fluorescence Spectra ◽  
Least Squares Method ◽  
X Ray ◽  
Partial Least Squares Method

An improved PD-AsLS method of baseline estimated in EDXRF analysis

2021 ◽  
Author(s):  
Qingxian Zhang ◽  
Hui Li ◽  
Hongfei Xiao ◽  
Jian Zhang ◽  
Xiaozhe Li ◽  
...  
Keyword(s):  
Least Squares ◽  
Least Squares Method ◽  
Fluorescence Analysis ◽  
Energy Dispersive ◽  
Baseline Correction ◽  
Penalized Least Squares ◽  
X Ray ◽  
Edxrf Analysis ◽  
Asymmetric Least Squares

Baseline correction is an important step in energy-dispersive X-ray fluorescence analysis. The asymmetric least squares method (AsLS), adaptive iteratively reweighted penalized least squares method (airPLS), and asymmetrically reweighted penalized least...

Application of the Least-Squares Method to the Analysis of XRF Spectral Intensities from Atmospheric Particulates Collected on Filters

1975 ◽  
Vol 19 ◽  
pp. 367-380 ◽  
Author(s):  
F. Arinc ◽  
R. P. Gardner ◽  
L. Wielopolski ◽  
A. R. Stiles
Keyword(s):  
Quantitative Analysis ◽  
Least Squares ◽  
Least Squares Method ◽  
Energy Dispersive ◽  
Component Library ◽  
X Ray ◽  
Simplified Approach ◽  
Atmospheric Particulates ◽  
Spectral Intensities ◽  
Fluorescence Analyzer

The least-squares method with complete component library spectra is applied to the quantitative analysis of X-ray fluorescence spectral intensities. An approach is outlined for application to the general case of thick homogeneous samples at high counting rates, A simplified approach can be taken with the more specific case represented, by atmospheric particulates collected on filters. The details and sample results of this approach for this specific case are given for an energy dispersive X-ray fluorescence analyzer. The results indicate that the least-squares method as developed and applied here is valid and should prove generally useful to X-ray analysts.

Development of the Detector Response Function Approach for the Library Least-Squares Analysis of Energy-Dispersive X-Ray Fluorescence Spectra

1978 ◽  
Vol 22 ◽  
pp. 317-323 ◽  
Author(s):  
L. Wielopolski ◽  
R. P. Gardner
Keyword(s):  
Least Squares ◽  
Response Function ◽  
Fluorescence Spectra ◽  
Pulse Height ◽  
Energy Dispersive ◽  
Analytical Models ◽  
Detector Response ◽  
Height Distribution ◽  
Pulse Height Distribution ◽  
X Ray

A procedure to obtain analytical models for the elemental X-ray pulse-height distribution libraries necessary in the library least-squares analysis of energy-dispersive x-ray fluorescence spectra is outlined. This is accomplished by first obtaining the response function of Si(Li) detectors for incident photons in the energy range of interest. Subsequently this response function is used to generate the desired elemental library standards for use in the least-squares analysis of spectra, or it can be used directly within a least-squares computer program, thus eliminating the large amount of computer storage required for the standards.

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