The article presents some details about the synthesis and evaluation of photovoltaic materials related with the Cu2ZnSnS4 system (abbreviated CZTS), using a hydrothermal route that provide the optimal way to synthesize the proposed materials. The ceramic was obtained starting from corresponding metal nitrates and thiourea as sulphur source in stoichiometric amounts. Corresponding reagents were dossed in a steel Teflon lined vessel and treated at different temperatures to evaluate the effect of external variables in synthesis process. The structure was evaluated by means scanning electron microscopy (SEM) and X-ray diffraction. The electrical characteristics were evaluated by solid state spectroscopy using a statistical analysis coupled with a simple model fitted to the data of electrical conductivity of the material as function of synthesis temperature, for this, the mathematical formulation of the impedance was analyzed, with the use of the Kramers-Kronig transform (KK), (mathematical equations that describe the relationship between the real and imaginary parts of certain complex functions analytic) as well as documentation and research related with the subject of this article. The results show a good behavior of the material, showing that the higher synthesis temperatures promotes a corresponding increase in the electrical conductivity in accordance with previous works [1].