q-Gaussian Tsallis Functions and Egelstaff-Schofield Spectral Line Shapes

In this article we will discuss the Egelstaff-Schofield line shapes, as used in Raman spectroscopy, and their fit by means of q-Gaussian Tsallis functions. q-Gaussians are probability distributions having origin framework statistics. A continuous real parameter q is characterizing them so that, range 1 < 3, q-functions pass from usual Gaussian form, for close to 1, that a heavy tailed distribution, at 3. The value q=2 corresponds Cauchy-Lorentzian distribution. This behavior allows function properly mimicking shape, which has been introduced bands first-order scattering ionic liquids. shape based on modified Bessel second kind. Moreover, since Fourier transform given simple analytical expression, can use expression an easy substitute function.