Generalizing asymmetric and pseudo-Voigt functions by means of q-Gaussian Tsallis functions to analyze the wings of Raman spectral bands

25 October 2023, Version 1
This content is a preprint and has not undergone peer review at the time of posting.

Abstract

It is important, for further applying the q-Gaussian Tsallis functions, to discuss how they can generalize asymmetric and pseudo-Voigtian functions. Some remarks about Voigt functions are also stressed, regarding the behavior of the wings of Raman spectral components. The use of Voigt and pseudo-Voigt functions implies the wings as Lorentzian, but this is not observed for the Raman bands. At the same time, the wings are not Gaussians, and for this reason q-Gaussians are fundamental for evidencing the wing behavior.

Keywords

Tsallis q-Gaussian distribution
Asymmetric q-Gaussian distribution
Voigt distribution
pseudo-Voigt distribution

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