As given by , the q-Gaussian function is 𝑓(𝑥) = 𝐶𝑒 𝑞 (-𝛽𝑥 2 ) , where 𝑒 𝑞 (. ) is the qexponential function and 𝐶 a scale constant. In the exponent, we use 𝛽 = 1 (2𝜎 2 ) ⁄ , with variance σ. The q-exponential has expression: 𝑒𝑥𝑝 𝑞 (𝑢) = [1 + (1 -𝑞)𝑢] 1 (1-𝑞) ⁄ . For q equal to 2, the q-Gaussian is the Cauchy-Lorentzian distribution . For q close to 1, we have the usual Gaussian form. For the q-parameter between 1 and 2, the shape of the q-Gaussian function is intermediate between the Gaussian and the Lorentzian profile. This behavior turns the q-Gaussian into a function suitable for the analysis of Raman spectra, where the spectral bands are characterized, in the same manner, by intermediate profiles between Lorentzian and Gaussian outlines . Besides these two functions, which remain the most popular for fitting Raman spectra, linear combinations (pseudo-Voigt distributions) or convolutions of them (Voigt distributions) are used too . The Voigtian function is essentially a Lorentzian height weighted by a Gaussian profile.