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q-Gaussians are probability distributions having their origin in theframework of Tsallis statistics. A continuous real parameter q ischaracterizing them so that, in the range 1 < q < 3, the q-functions pass fromthe usual Gaussian form, for q close to 1, to that of a heavy taileddistribution, at q close to 3. The value q=2 corresponds to theCauchy-Lorentzian distribution. This behavior of q-Gaussian functions could beinteresting for a specific application, that regarding the analysis of Ramanspectra, where Lorentzian and Gaussian profiles are the line shapes most usedto fit the spectral bands. Therefore, we will propose q-Gaussians with the aimof comparing the resulting fit analysis with data available in literature. Asit will be clear from the discussion, this is a very sensitive issue. We willalso provide a detailed discussion about Voigt and pseudo-Voigt functions andtheir role in the line shape modeling of Raman bands. We will show asuccessfully comparison of these functions with q-Gaussians. The role ofq-Gaussians in EPR spectroscopy (Howarth et al., 2003), where the q-Gaussian isgiven as the ''Tsallis lineshape function'', will be reported. Two examples offitting Raman D and G bands with q-Gaussians are proposed too.

q-Gaussian Tsallis line shapes and Raman spectral bands