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The states of impurities are located and correspond to the movement of electrons within a limited space(structure), resulting in some areas or types of electronic interaction, that is, the network is going througha kind of electron rearrangement changing the nuclear movement, etc. In the literature, we found that thepresence of defects or impurities (this process is called doping) in a crystal changes the electrostatic potentialin its neighborhoods, breaking the symmetry of the translation of periodic potential. This perturbation canproduce functions of electronic waves located near the point of insertion, being no longer propagated bythe whole crystal. In previous works where we apply the q-deformed algebra, specifically in the Einsteinand Debye solids, seeking to strengthen our understanding of interpreting q-deformation not only as amathematical tool but as a physical element and we note that the insertion of the parameter q acts as areorganization factor (of a crystalline structure) modifying the thermodynamic quantities as specific heat,thermal and electrical conductivities, among other characteristics of the chemical elements (which returnto the usual results at the limit q tends to 1). We find interesting results, leading us to apply the sameapproach to other thermodynamic properties of solids, since this initial analysis shows that elements havesimilar thermal properties to another element in its pure state . With this motivation, we seek in the presentstudy to investigate the intermediate statistics for the Bons associated with q-algebra (B-anyons) in orderto determine how they differ from the common Bosons. We note that there is a close connection betweenthe deformed quantum Lie algebra of quantum harmonic oscillators and intermediate statistics. With thisgeneralization we determine the respective thermodynamic quantities, we gain another q-deformation modelbased on a B-type system, which can be applied to several physical problems, thus strengthening our initialthinking.