In the following Table , we add the results from RRUFF samples (in cm -1 ) to those given in the Table . Discussion -From the Table III and IV, it seems that agreement exists among data. Then, one could ask why to use q-Gaussian functions instead of Gauss-Lorentz cross-product functions. Good reasons exist. First, as we have previously told, the q-parameter of the q-Gaussian is linked to the local environment of the oscillator.s This parameter allows the function to assume a shape ranging from Gaussian to Lorentzian. Moreover, what is a Gauss-Lorentz cross product function? We have an expression of it given by Origin. There is the shape parameter s; when s is equal to 1, we have a Lorentzian function. Given the behavior of the Gauss-Lorentz cross product function as in the Fig. , it is clear why Frost et al. used shape parameter greater than 0.7. It is also clear that a Gaussian shape can be never obtained. Then, let us consider a further Table , where we show, besides the centers of the band, also their q-parameters. The Table V tells us that bands which are far from being Lorentzian are present. This is a good reason for using q-Gaussians, instead of Gauss-Lorentz cross product functions.