tailieunhanh - Study of some thermodynamic properties of ZrxCe1xO2/XeO2 systems by statistical moment method

Some thermodynamic quantities of ZrxCe1-xO2/CeO2 systems are investigated by using the moment method in statistical dynamics taking into account the anharmonicity effects of lattice vibrations. The analytic expression of the Gibbs free energy, Helmholtz free energy, and specific heats at the constant volume of ZrxCe1-xO2/CeO2 systems are obtained. | HNUE JOURNAL OF SCIENCE DOI Natural Sciences 2018 Volume 63 Issue 11 pp. 41-51 This paper is available online at http STUDY OF SOME THERMODYNAMIC PROPERTIES OF ZrxCe1-xO2 CeO2 SYSTEMS BY STATISTICAL MOMENT METHOD Vu Van Hung1 Le Thi Thanh Huong2 and Dang Thanh Hai3 1 University of Education Vietnam National University Hanoi 2 Hai Phong University 3Vietnam Education Publishing House Abstract. Some thermodynamic quantities of ZrxCe1-xO2 CeO2 systems are investigated by using the moment method in statistical dynamics taking into account the anharmonicity effects of lattice vibrations. The analytic expression of the Gibbs free energy Helmholtz free energy and specific heats at the constant volume of ZrxCe1-xO2 CeO2 systems are obtained. The lattice parameter and specific heats at the constant volume of the ZrxCe1-xO2 CeO2 systems are calculated as functions of the temperature pressure concentration of Zr and the thickness ratio d2 d1 of the ZrxCe1-xO2 CeO2 systems by using the Buckingham potential. The effects of temperature for the temperature range T 0K 2900K pressure P 0 5 10 20 30 and 40GPa concentration of Zr x 2 4 6 8 and the thickness ratio d2 d1 d2 d1 1 20 on the lattice parameter and specific heats at the constant volume of the ZrxCe1- xO2 CeO2 systems will be discussed in details. The dopant dependence of the lattice constants of Ce1 xZrxO2 at T 300K and zero pressure and the pressure dependence of the lattice constants of CeO2 at T 300K are compared with the available experimental and other theoretical results. Keywords Statistical moment method high pressure oxide superlattice. 1. Introduction Study of the thermodynamic properties of semiconductor and oxide superlattices has become quite interesting in recent years since semiconductor and oxide super lattices play an important role in technological applications especially in the electronic industry. The structural and thermo- mechanical properties of .