The q-Gaussian behavior turns the function into a line-shape suitable for the analysis of Raman spectroscopy, where the spectral bands are characterized by intermediate profiles between Lorentzian and Gaussian outlines . Besides these two functions most popularly used for fitting Raman spectra, linear combinations (pseudo-Voigt distributions) or convolutions of them (Voigt distributions) are used too . Of the reason for using Voigtian functions, and consequently their pseudo-Voigtian approximations, we discussed in the previous works about q-Gaussians fitting onto graphite and anatase TiO2 Raman bands (ChemRxiv1, ChemRxiv2). We have also shown that the q-Gaussian is able of mimicking, besides Voigt and pseudo-Voigt, the Egelstaff-Schofield line shape. A detailed discussion of the deconvolution by means of q-Gaussians of the Raman bands in carbonaceous material has been also proposed (SSRN).