Red mud is defined as "a hazardous waste material produced during the alkaline leaching of bauxite in the Bayer process" . The red mud is made of "coarse sand and fine particle. Its composition, property and phase vary with the type of the bauxite and the alumina production process, and will change over time" . Wang and Liu are also providing the chemical components, as in the following Table. "The Bayer process is the primary method by which alumina (Al2O3) is produced from bauxite ore. In this hydrometallurgical process, caustic soda digestion under elevated temperature and pressure is used to leach soluble alumina minerals from the bauxite ore and subsequently precipitate technically pure aluminum hydroxide. From the pregnant leach solution, the residual mineral matrix is removed as a byproduct, commonly termed as bauxite residue or red mud" . Vind and coworkers performed μ-Raman spectroscopy, using a Renishaw inVia confocal Raman microscope, 785-nm laser "at a power of 25-50 mW at laser source". The hematite-dominant particles of bauxite residue have been reported as 170 mg/kg. "In the bauxite residue sample, another iron phase was distinguished from hematite" thanks to "its darker hue in the backscattered electron imaging mode". It is the iron oxyhydroxide of the goethite "in μ-Raman spectroscopic analysis (bands 204, 221, 240, 296, 396, 472, 546 cm -1 )" . According to the area investigated, the peaks are (in cm -1 ): "The red mud exhibits the presence of hematite (Fe2O3), alumina (Al2O3), gibbsite (Al (OH)3) quartz (SiO2), anatase and rutile (TiO2) and calcite (CaCO3 values. Note that, for q less than one, the function is different from zero on a limited interval. The Half Width at Half Maximum of q line shape is given by: √2 𝜎 √(1 -(1/2) 1-𝑞 )/(1 -𝑞). A recent publication (published on May 18, 2023) by V. Witkovský is telling that "The Tsallis q-Gaussian distribution is a flexible and versatile generalization of the standard Gaussian distribution that can effectively model input quantities in a wide range of applications and measurement models". Mentioning Vignat and Plastino, 2009, Witkovský considers "the possible reasons why q-Gaussian distributions are frequently observed in various natural and artificial phenomena. They argue that the detection of q-Gaussian behavior may be influenced by the normalization process performed by the measurement device".