Application of the Integrated Voigt Function in Analysis of Experimental Line Spectra
K. Ilakovac
Department of Physics, Faculty of Science and Mathematics, University of Zagreb, Bijenička cesta 32, HR-10001 Zagreb, Croatia
Received: June 20, 2018; revised version April 11, 2019; in final form April 23, 2019
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In many branches of spectroscopy, the Lorentzian and Gaussian functions are assumed to describe the intrinsic and statistical broadening effects of emission lines and of resonances. When both these broadening effects are seen, their convolutions, the Voigt functions, are used to describe shapes of the peaks. In this work, the integrated Voigt function, Vint, is introduced for the calculation of the peak shapes. Also, a new model of the step function, based on physical considerations, is introduced. The model applies the same Vint that is used to calculate the peak function. The program has been developed to analyse Kα X-ray spectra of heavy elements, measured with high-purity germanium detectors. To illustrate the method, results of analysis of two spectra are presented.

topics: analysis of line spectra, integrated Voigt function, peak and step functions, fitting function