Tsallis and Kaniadakis Gaussian functions, applied to the analysis of Diamond Raman spectrum, and compared with Pseudo-Voigt functions

Previous studies (Sparavigna, 2023) have demonstrated the Tsallis q-Gaussian functions suitable for the analysis of Raman spectra. These functions can be used for simulating the different line shapes of Raman bands. Besides the q-Gaussian, another generalized Gaussian form can be investigated for Raman spectroscopy; it is the Kaniadakis κ-Gaussian probability density function, which contains the κ-exponential. Here, we consider both q- and  κ-Gaussians for fitting onto the Raman spectrum of diamond. In the case of diamond, some fitting examples obtained with the Kaniadakis exponents are providing a better result, for the behavior of the far wings of the line. Comparison with pseudo-Voigt line shape is also proposed and a pseudo-Voigtian function made of a linear combination of two q-Gaussians is proposed too.