Heat Capacity Calculation of Some Semiconductor Compounds Using Lambert W Function

Based on the Lambert-Boltzmann distribution, a simple and efficient expression for the determination of the heat capacity of some semiconductor compounds is proposed. The new expression in exact and algebraic closed form allows to calculate the heat capacity of any semiconductor compound. Its high precision is proved by comparing the calculated results against the experimental results reported in the literature for some semiconductor compounds such as Mg2Pb, SeSn, SeSn2,GaAs, InAs, and ZnO in the 260-360 K temperature range. However, the heat capacity can not be deduced by using the standard Boltzmann formula.