Unprecedented Integral-Free Debye Temperature Formulas: Sample Applications to Heat Capacities of ZnSe and ZnTe

Figure 1

Graphical representation of the exact -dependencies (—) of the normalized low-phonon-energy contributions to lattice heat capacities of Debye and non-Debye type, and (see (10)), in comparison with the respective low-temperature approximations (⋅–⋅–⋅–⋅), due to the functions (see (14)) or (see (16)), the associated high-temperature approximations (– – – – –), due to the functions (see (15)) or (see (17)), and the normalized heat capacity contribution of the first Einstein oscillator (– ⋅ ⋅ –), .