Numerical Approach to Predicting Thermodynamic Properties of Ternary Al-Ni-Pt Alloys |
M. Zagula-Yavorska, J. Romanowska, S. Kotowski and J. Sieniawski
Departament of Materials Science, Rzeszów University of Technology, Powstańców Warszawy 12, 35-959 Rzeszów, Poland |
Received: August 18, 2014; Revised version: March 9, 2015; In final form: April 28, 2015 |
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Thermodynamic properties of ternary Al-Ni-Pt system, such as exGAlNiPt, μAl(AlNiPt), μNi(AlNiPt), and μPt(AlNiPt) at 1373 K were predicted on the basis of thermodynamic properties of binary systems included in the investigated ternary system. The idea of predicting exGAlNiPt values was regarded as calculation of values of exG function inside a certain area (a Gibbs triangle) unless all boundary conditions, that is values of exG on all legs of the triangle are known (exGAlNi, exGAlPt, exGNiPt). This approach is contrary to finding the function value outside a certain area, if the function value inside this area is known. exG and Lijk ternary interaction parameters in the Muggianu extension of the Redlich-Kister formalism are calculated numerically using the Mathematica program. The accepted values of the third component concentration xx differed from 0.01 to 0.1 mol fraction. Values of L parameters in the Redlich-Kister formula vary for different xx values, the 0LAlNiPt value in particular. Values of thermodynamic functions: exGAlNiPt, μAl(AlNiPt), μNi(AlNiPt) and μPt(AlNiPt) do not differ significantly for different xx values. The choice of xx value does not influence the accuracy of calculations. |
DOI: 10.12693/APhysPolA.127.1573 PACS numbers: 02.60.Cb, 05.70.Ce |