Derivations of Partial Molar Excess Gibbs Energy of Mixing Expressions for Common Thermodynamic Models

2021 ◽  
Author(s):  
Parikshit Bajpai ◽  
Max Poschmann ◽  
Markus H. A. Piro
Keyword(s):  
Gibbs Energy ◽  
Excess Gibbs Energy ◽  
Thermodynamic Models ◽  
Molar Excess Gibbs Energy ◽  
Molar Excess ◽  
Energy Of Mixing ◽  
Gibbs Energy Of Mixing

scholarly journals Modelling thermodynamic properties of binary Cu–Eu and ternary Al–Cu–Eu melts

2020 ◽  
Vol 8 (2) ◽  
pp. 73-82
Author(s):  
Natalia Kotova ◽  
Natalia Golovata ◽  
Natalia Usenko
Keyword(s):  
Thermodynamic Properties ◽  
Gibbs Energy ◽  
Excess Gibbs Energy ◽  
Model Calculations ◽  
Gibbs Energies ◽  
Excess Gibbs Energies ◽  
Energy Of Mixing ◽  
Gibbs Energy Of Mixing ◽  
Associated Solution Model ◽  
Associated Solution

Model calculations of the whole set of thermodynamic properties of liquid alloys for the binary Cu–Eu and ternary Al–Cu–Eu systems have been performed. Authors used the ideal associated solution model (IAS model) for calculation of the entropies and excess Gibbs energies of mixing for these systems. The binaries were given as the Redlich-Kister polynomials. The thermodynamic properties for the ternary system are described using the Redlich-Kister-Muggianu formalism. A comparison of the surfaces of excess Gibbs energy and entropy of mixing for liquid Al–Cu–Eu alloys at 1350 K demonstrates that the ordering related to the formation of rather strong associates in the Al–Eu system significantly affects the concentration dependence of the excess Gibbs energy of mixing in the liquid phase at this temperature.

scholarly journals Thermodynamic investigation of liquid properties of the Ni–Sn–Ti ternary system using CALPHAD method and geometric models

2016 ◽  
Vol 1 (4) ◽  
pp. 14
Author(s):  
Vanya Gandova
Keyword(s):  
Liquid Phase ◽  
Thermodynamic Properties ◽  
Gibbs Energy ◽  
Excess Gibbs Energy ◽  
Geometric Model ◽  
Calphad Method ◽  
Geometric Models ◽  
Molar Excess Gibbs Energy ◽  
Molar Excess ◽  
Ternary Parameters

Predictions for the liquid Ni–Sn–Ti alloys thermodynamic properties (molar excess Gibbs energy) are presented. The calculations were performed in the temperature range 1000–2000 K.  Geometric models (using data from the binary end-systems) were used and the respective calculated molar excess Gibbs energy values were compared to CALPHAD method assessments. The concentration dependences of the liquid phase thermodynamic properties along different vertical sections Sn:Ti, Ni:Ti and Ni:Sn were estimated.Ternary interaction parameters (L0, L1 and L2) of the liquid phase were determined using General solution (geometric) model from thermodynamic data of the binary end–systems (Ni–Sn, Ni–Ti, Sn–Ti).  Ternary parameters exhibit values: L0 = - 70360.5 - 0.263*T; L1 = -113023 - 11.574*T; L2 = - 131755 - 17.101*T. Negative molar excess Gibbs energies were obtained by all models.

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