The Description of Heat Capacity by the Debye – Mayer – Kelly Hybrid Model<strong> </strong>

Abstract

The universal Debye &amp;ndash; Mayer &amp;ndash; Kelly hybrid model was proposed for the description of the heat capacity from 0 K to the melting points of substance within the experimental uncertainty for the first time. To describe the heat capacity, the in-house software on the base of commercial one DELPHI-7 was used with a 95% confidence level. To demonstrate the perfect suitability of this model, a thermodynamic analysis of the heat capacities of the fourth group elements, and some compounds of the AIIIBV and AIIBVI phases was carried out. It produced good agreement within the experimental uncertainty. There is no a similar model description in literature.The Similarity Method is a convenient and effective tool for critical analysis of the heat capacities of isostructural phases, which was used as an example for diamond-like compounds. Phases with the same sum of the atomic numbers of elements (Z), such as diamond and B0.5 N0.5 (cub) (Z = 6); pure silicon (Si) and Al0.5 P0.5 (Z=14); pure germanium (Ge) and Ga0.5 As0.5 (Z = 32)); pure grey tin (alpha-Sn) and In0.5 Sb0.5, and Cd0.5 Te0.5 (Z = 50) have the same heat capacity experimental values in the solid state. The proposed models can be used to both different binary and multicomponent phases. It helps to standardize the physicochemical constants.