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23-27 October 2019, Coral Beach Resort, Paphos, Cyprus
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    The Similarity Method, Critical Analysis of Specific Heat and the Hybrid Model to Describe Solid AIIIBV, AIIBVI and Fourth Group Compounds from 0 to 1500 K
    Valery Vassiliev1; Marcelle Gaune Escard2;
    1LOMONOSSOV MOSCOW STATE UNIVERSITY, Moscow, Russian Federation; 2AIX-MARSEILLE UNIVERSITE/POLYTECH, CNRS/IUSTI UMR7343, Marseille, France;
    PAPER: 462/Molten/Regular (Oral)
    SCHEDULED: 15:15/Thu. 24 Oct. 2019/Ambrosia A (77/RF)



    ABSTRACT:
    Our previous review articles [1] evidenced the relation of thermodynamic data with the Periodic Law. A strict relationship could be established between the enthalpy of formation, melting point and the components atomic numbers in the semiconductor A<sup>III</sup>B<sup>V</sup> phases, with diamond-like structures of sphalerite and wurtzite types. The proposed model was used to critically assess the thermodynamic properties of isostructural compounds. The relationship between the reduced enthalpy, standard entropy, reduced Gibbs energy and the sum of the atomic numbers (Z<sub>i</sub> = Z<sub>A</sub> + Z<sub>B</sub>) has been used to critically assess the thermodynamic properties of A<sup>III</sup>B<sup>V</sup> phases. For the A<sup>III</sup>B<sup>V</sup> in the solid-state, the Similarity method was applied to critically analyse heat capacities. For these A<sup>III</sup>B<sup>V</sup> phases (sphalerite and wurtzite types), heat capacities relationship with the logarithm of elements atomic numbers was used to estimate the continuum above 298 K [2]. The Similarity Method was also used for the specific heat critical analysis for the fourth group (C, Si, Ge, Sn), A<sup>III</sup>B<sup>V</sup> and A<sup>II</sup>B<sup>VI</sup> isostructural phases in the solid-state. The dependence of the heat capacities from 0 to 1500 K follows certain regularity. Phases with the same element atomic numbers (Z) sum, such as BN (hex) Z=12 and glassy pure carbon Z=6; BP and AlN (Z=20); AlP (Z=28) and pure Si (Z=14); BAs and GaN (Z=38); AlAs and ZnS (Z=46); AlSb, GaAs, InP (Z=64) and pure Ge (Z=32); GaSb, InAs, and CdSe (Z=82); InSb, CdTe (Z=100) and pure grey Sn (Z=50); have the same heat capacity experimental values in the solid-state within the experimental uncertainty [3]. This rule can be applied to different isostructural compounds.

    References:
    1. V.P. Vassiliev, B. Legendre, V.P. Zlomanov. The critical analysis and mutual coherence of thermodynamic data of the AIIIBV phases. Intermetallics 19 (2011) 1891-1901.
    2. V.P. Vassiliev, W.P. Gong, A.F. Taldrik, S.A. Kulinich. Method of the correlative optimization of heat capacities of isostructural compounds. J. Alloys and Comp. 552 (2013) 248-254.
    3. V.P. Vassiliev , V.A. Lysenko , A.F. Taldrik , N.I. Ilynykh , L.G. Sevastyanova. 41st Conference on Phase Equilibria Book of Abstracts, JEEP. 2015. Coimbra.V.1.P.140, Portugal, Mars 23-25, 2015. Approximation of the Low-temperature Heat Capacity of AIIIBV Compounds by Linear Combination of Debye’s Functions