The deconvolutions in the following figures are obtained by means of software Fityk , after defining in it the q-Gaussian and q-BWF functions (see Appendix B for further details). We will show only the details of the spectra, which are better evidencing the role of q-Gaussian and q-BWF functions. Here four examples for samples proposed by RRUFF. ) and infrared spectrum (right). On the left, the peak is symmetric, and we used a q-Gaussian function with q=1.9; on the right, we used three q-BWF functions for the asymmetric peaks (v3,v2,v4). The asymmetry parameter ξ of the largest q-BWF component is given close to the curve, such as the q-parameter. Further q-Gaussian components have been added to improve the fit. The lower part of the images is showing the misfit, that is the difference between data (green) and the sum of components (yellow curve). In all the samples proposed by RRUFF, where an infrared spectrum is available, we can see that the main peak v3 is well described by a q-BWF function, with one or two shoulders on the right. Regarding the Raman spectra, we can note that, in the figures given above, the q-parameter is ranging from 1.36 to 1.89 values, therefore we can conclude that the main Raman peak of calcte cannot be described by a Lorentzian function, a function which is characterized by q=2.