Calculation of the Gibbs energy of mixing in crystals using Pitzer's model

1994 ◽  
Vol 23 (7) ◽  
pp. 795-812 ◽  
Author(s):  
Chr Christov ◽  
S. Petrenko ◽  
Chr Balarew ◽  
Vl. Valyashko
Keyword(s):  
Gibbs Energy ◽  
Pitzer's Model ◽  
Energy Of Mixing ◽  
Pitzer’S Model ◽  
Gibbs Energy Of Mixing

Activities of Components in the Ca2MgSi2O7-CaSiO3Molten System

1996 ◽  
Vol 61 (6) ◽  
pp. 837-843
Author(s):  
Ladislav Kosa ◽  
Ivan Nerád ◽  
Katarína Adamkovičová ◽  
Jozef Strečko ◽  
Ivo Proks
Keyword(s):  
Gibbs Energy ◽  
Molar Mass ◽  
Excess Entropy ◽  
Enthalpy Of Mixing ◽  
Real Particle ◽  
Entropy Of Mixing ◽  
Energy Of Mixing ◽  
Gibbs Energy Of Mixing

Activities of the components, the Gibbs energy of mixing, and the excess entropy of mixing have been calculated for the Ca2MgSi2O7-CaSiO3 system. The mole fractions of the components were calculated assuming that in the point of the formal component Ca2MgSi2O7, the molar mass of the quasi-real particle in the melt corresponds to its formula molar mass, whereas in the point of the formal component CaSiO3 the molar mass of the quasi-real particle in the melt is 8.5 times higher than as corresponds to its formula. The fact that the enthalpy of mixing is zero whereas the excess entropy of mixing is non-zero suggests that Ca2MgSi2O7-CaSiO3 melts behave as athermal solutions.

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.

A Simplified Model for Calculation of the Gibbs Energy of Mixing in Crystals: Thermodynamic Theory, Restrictions and Applicability

1996 ◽  
Vol 61 (11) ◽  
pp. 1585-1599 ◽  
Author(s):  
Christomir Christov
Keyword(s):  
Gibbs Energy ◽  
Simplified Model ◽  
Theoretical Approaches ◽  
Ternary Solutions ◽  
Energy Of Mixing ◽  
Experimental Solubility Data ◽  
Water Salt ◽  
Gibbs Energy Of Mixing ◽  
Set Up ◽  
Salt Systems

A simplified model has been set up for calculation of the molar Gibbs energy of mixing ∆mixGm(s) in crystals based on the assumption of a complete liquid-solid thermodynamic equilibrium in the water-salt systems. The procedure allows the ∆mixGm(s) values to be calculated from the experimental solubility data for the saturated binary and ternary solutions. The ∆mixGm(s) values and the excess Gibbs energy of mixing ∆mixGEm(s) were calculated for six alkali-halide systems (KCl-RbCl-H2O, KBr-RbBr-H2O, KI-RbI-H2O, NH4Cl-NH4Br-H2O, RbCl-RbBr-H2O and CsCl-CsBr-H2O). The results obtained were compared with experimental data taken from the literature and values calculated based on various theoretical approaches.

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