  We study the thermodynamics of a crystalline solid by applying intermediate
statistics manifested by q-deformation. We based part of our study on both
Einstein and Debye models, exploring primarily deformed thermal and electrical
conductivities as a function of the deformed Debye specific heat. The results
revealed that the q-deformation acts in two different ways but not necessarily
as independent mechanisms. It acts as a factor of disorder or impurity,
modifying the characteristics of a crystalline structure, which are phenomena
described by q-bosons, and also as a manifestation of intermediate statistics,
the B-anyons (or B-type systems). For the latter case, we have identified the
Schottky effect, normally associated with high-Tc superconductors in the
presence of rare-earth-ion impurities, and also the increasing of the specific
heat of the solids beyond the Dulong-Petit limit at high temperature, usually
related to anharmonicity of interatomic interactions. Alternatively, since in
the q-bosons the statistics are in principle maintained the effect of the
deformation acts more slowly due to a small change in the crystal lattice. On
the other hand, B-anyons that belong to modified statistics are more sensitive
to the deformation.
