Theoretical Evaluation of Electrical Resistivity with Bloch-Gruneisen Function

In this study, a simple and efficient analytical formula is presented to calculate the generalized Bloch-Gruneisen function. The proposed analytical formula for the generalized Bloch-Gruneisen function is corrected for non-integer and integer values of parameter 𝑚. Note that the Bloch-Gruneisen function is preferred to calculate thermal conductivity and electrical resistivity of solid materials. It has been demonstrated that the offered analytical formula gives very correct results of semiconductor and superconductivity for a wide range of temperatures. As an example, the Bloch-Gruneisen function of MgB2 material, which is envisioned as an alternative superconducting wire for advanced fusion reactors, has been calculated and compared with theoretical calculations and experimental data. The results obtained for m=3.5 were found to be in excellent agreement with the experimental data, with a maximum deviation of approximately 1.26%. The results demonstrated that the analytical formula can be satisfactorily used for solid materials.