In spectroscopy, if the emission is broadened by the radiation damping, the profile of the band is Lorentzian. This profile can be modified by different mechanisms. Among them we have the thermal broadening that introduces a convolution with a Gaussian function, resulting in a consequent Voigt profile. "Alternatively, [we can] suppose that the line is scanned by a spectrophotometer with a Gaussian sensitivity function" . In this case, the convolution of the line is with the instrumental function profile. Let us remember that "the general expression that takes account of all the instrumentally induced distortion of the true band shape can be called the instrument function" . It is also known as the "instrumental transfer function" . Therefore, the true spectral distribution, subjected to "distortions both in the optical and recording parts of the apparatus" , is replaced by the observed measured distribution. Besides the models based on the Voigtian convolution, different approaches exist , so that the true radiation line can be assumed different from a Lorentzian function; moreover, the weight function can be different from a pure Gaussian function. In any case, it is always necessary to determine the instrumental function profile, at least to evaluate if its role is negligible; according to Merlen et al., 2017, the instrumental transfer function "can be negligible in many cases", and "depending on the grating used, the instrumental width varies but is in general close to 1 cm -1 ." With its intermediate behavior, the q-Gaussian is suitable to describe convolution mechanisms in general. In Sparavigna, 2023a, we have shown that the q-Gaussian is able of mimicking pseudo-Voigt and Voigt functions, and the same is true also for the Egelstaff-Schofield line shape . Besides a detailed discussion of the decomposition in bands of the Raman spectra for carbonaceous material, in Sparavigna, 2023c, we have shown several examples which demonstrate the q-Gaussians properly suitable for the Raman spectral data analysis. Here, we consider the q-exponential function for fitting onto the Raman spectrum of graphite. Data are considered from RRUFF collection and from Raman Open Database, developed in the framework of project SOLSA H2020 (El Mendili et al., 2019). In the following plots, data are generally given in red and the best fits in green. The misfit is also proposed in the lower part of the images. Data and best fits are given as functions of integers n (equally spaced points), for the x-axis which is representing the Raman shift. A convenient scale is used for the y-axis (intensity axis).