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 |

Full Text PDF |

Thermodynamic properties of ternary Al-Ni-Pt system, such as ^{ex}G_{AlNiPt}, μ_{Al(AlNiPt)}, μ_{Ni(AlNiPt)}, and μ_{Pt(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 ^{ex}G_{AlNiPt} values was regarded as calculation of values of ^{ex}G function inside a certain area (a Gibbs triangle) unless all boundary conditions, that is values of ^{ex}G on all legs of the triangle are known (^{ex}G_{AlNi}, ^{ex}G_{AlPt}, ^{ex}G_{NiPt}). This approach is contrary to finding the function value outside a certain area, if the function value inside this area is known. ^{ex}G and L_{ijk} 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 x_{x} differed from 0.01 to 0.1 mol fraction. Values of L parameters in the Redlich-Kister formula vary for different x_{x} values, the ^{0}L_{AlNiPt} value in particular. Values of thermodynamic functions: ^{ex}G_{AlNiPt}, μ_{Al(AlNiPt)}, μ_{Ni(AlNiPt)} and μ_{Pt(AlNiPt)} do not differ significantly for different x_{x} values. The choice of x_{x} value does not influence the accuracy of calculations. |

DOI: 10.12693/APhysPolA.127.1573 PACS numbers: 02.60.Cb, 05.70.Ce |