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Palladium-based alloys are widely used in various industries: chemical, electrical, automotive, hydrogen energy and medicine. The most usual components of palladium alloys are coinage metals, as well as non-transitional low-melting elements like indium or tin. The aims of this work were experimental investigation and thermodynamic modeling of phase equilibria in the Ag-In-Pd ternary. Experimental study of phase equilibria was performed by scanning electron microscopy with energy dispersive X-ray spectroscopy (SEM/EDX) and X-ray diffraction (XRD). Several samples were studied also by DTA/DSC. The solubilities of the third components in binary phases has been established. The ternary compound τ1 exists at about 25 at. % In from 4 to approx. 17.5 at. % Ag. Tetragonal crystal structure with Al3Ti prototype has been proposed for that phase. New thermodynamic calculation of the Ag–In–Pd system was performed basing on both published and obtained in this work experimental results. Good agreement with the experimental data was achieved for both phase equilibria and thermodynamic properties of the phases. The correctness of the obtained description is additionally confirmed by the good convergence of the calculation results with the DSC/DTA results.