SOLVING MINERALOGY PROBLEMS WITH THE HELP OF THE “ORIGIN" PACKAGE
Ключевые слова:
x-ray spectral analysis; x-ray phase analysis; least squares method; signal processing; smoothing functions; noise suppressionАннотация
Algorithms for solving typical mineralogical problems associated with quantitative x-ray spectral
analysis and quantitative x-ray phase analysis using the program “Origin” are developed. The calculation of the areas
and midpoint of spectral lines using the tabular processor of the program “Origin” is considered. Various approaches
to determining the parameters of spectral lines using the least squares method using the standard functions of the
program “Origin” were tested. The creation of a user function for approximation of diffraction maxima by the
Cauchy function taking into account the doublet character of Ka series of x-rays is also considered. Various built-in
algorithms for smoothing functions (based on averaging, polynomial approximation and Fourier analysis – synthesis)
were tested to find weak diffraction maxima against strong noise; optimal schemes for the application of these
algorithms were found. The considered algorithms can be applied in universities when processing the results of
laboratory works on the topics "Analysis of spectra of emission of atoms", "Quantitative x-ray spectral analysis" and
"Quantitative x-ray phase analysis"