scholarly journals Sn-Ni-Bi liquid phase thermodynamic properties

2011 ◽  
Vol 9 (1) ◽  
pp. 149-156 ◽  
Author(s):  
Nikolina Milcheva ◽  
Jolanta Romanowska ◽  
Gueorgui Vassilev
Keyword(s):  
Experimental Data ◽  
Liquid Phase ◽  
Thermodynamic Properties ◽  
Binary Systems ◽  
Isopiestic Method ◽  
Miscibility Gap ◽  
Calphad Approach ◽  
Activity Data ◽  
General Solution Model ◽  
Good Agreement

AbstractExperimental data of bismuth activity coefficients at 1773 K were obtained by isopiestic method and compared to calculated values. Thermodynamic properties of the Sn-Ni-Bi liquid phase were estimated by means of the general solution model and by the methods of Kohler. Description of the ternary liquid phase (Gibbs excess energy dependence on the temperature and the composition) was achieved by using available thermodynamic data of the constitutive binary systems (Ni-Bi, Sn-Bi, Sn-Ni). A comparison between calculated quantities and experimental data wasconducted. The present assessment with thermodynamically optimized values of the system Sn-Ni-Bi (obtained by the CALPHAD approach) was in good agreement. The suggested appearance of a liquid phase miscibility gap at high temperatures is in agreement with the experimental bismuth activity data and with the assessed thermochemical functions.

scholarly journals Calculation of the thermodynamic properties of liquid Ag-In-Sb alloys

2006 ◽  
Vol 71 (3) ◽  
pp. 203-211 ◽  
Author(s):  
Dragana Zivkovic ◽  
Dragan Manasijevic ◽  
Ivan Mihajlovic ◽  
Zivan Zivkovic
Keyword(s):  
Experimental Data ◽  
Liquid Phase ◽  
Thermodynamic Properties ◽  
Ternary System ◽  
Interaction Parameter ◽  
Thermodynamic Data ◽  
Binary Systems ◽  
Ternary Interaction Parameter ◽  
Ternary Interaction ◽  
Mutual Agreement

The results of calculations of the thermodynamic properties of liquid Ag-In-Sb alloys are presented in this paper. The Redlich-Kister-Muggianu model was used for the calculations. Based on known thermodynamic data for constitutive binary systems and available experimental data for the investigated ternary system, the ternary interaction parameter for the liquid phase in the temperature range 1000-1200 K was determined. Comparison between experimental and calculated results showed their good mutual agreement.

scholarly journals Thermodynamic modeling of the Fe−Zn system using exponential temperature dependence for the excess Gibbs energy

2011 ◽  
Vol 47 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Y. Tang ◽  
X. Yuan ◽  
Y. Du ◽  
W. Xiong
Keyword(s):  
Experimental Data ◽  
Liquid Phase ◽  
Binary System ◽  
Thermodynamic Properties ◽  
Gibbs Energy ◽  
Excess Gibbs Energy ◽  
Miscibility Gap ◽  
Exponential Equation ◽  
Self Consistent ◽  
Exponential Temperature Dependence

The Fe-Zn binary system was re?modeled using exponential equation Li=hi?exp(-T/?i) (i=0,1,2?) to describe the excess Gibbs energy of the solution phases and intermetallic compounds with large homogeneities. A self-consistent set of thermodynamic parameters is obtained and the calculated phase diagrams and thermodynamic properties using the exponential equation agree well with the experimental data. Compared with previous assessments using the linear equation to describe the interaction parameters, the artificial miscibility gap at high temperatures was removed. In addition, the calculated thermodynamic properties of the liquid phase were more reasonable than those resulting from all the previous calculations. The present calculations yield noticeable improvements to the previous calculations.

scholarly journals Estimation of viscosity for some silicate ternary slags

2014 ◽  
Vol 50 (2) ◽  
pp. 139-144 ◽  
Author(s):  
Q. Shu ◽  
L. Wang ◽  
K.C. Chou
Keyword(s):  
Experimental Data ◽  
General Solution ◽  
Gibbs Energy ◽  
Binary Systems ◽  
Geometrical Model ◽  
Solution Model ◽  
Mean Deviation ◽  
Model Parameters ◽  
General Solution Model ◽  
Good Agreement

A new method, combining KTH model with geometrical model (General solution model by Chou) to estimate viscosity of some ternary silicate slags, was proposed in this work. According to modified KTH model, viscous Gibbs free energy for mixing of ternary slags was estimated by employing general solution model. It was found that viscous Gibbs energy for mixing of ternary system could be calculated using solely viscous Gibbs energy for mixing of sub-binary systems. The viscosities of five ternary slags CaO-MnO-SiO2, CaO-FeO-SiO2, FeO-MnO-SiO2, CaO-MgO-SiO2 and FeO-MgO-SiO2 were estimated in the present work. A good agreement with available experimental data, with mean deviation less than 20%, was achieved. The modified KTH model has advantages with less model parameters and improved estimation ability by comparison to original KTH model.

Thermodynamic Properties and Phase Equilibria in the Ternary Cu-Pb-Fe System

2013 ◽  
Vol 58 (2) ◽  
pp. 541-548 ◽  
Author(s):  
B. Onderka ◽  
D. Jendrzejczyk-Handzlik ◽  
K. Fitzner
Keyword(s):  
Experimental Data ◽  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Phase Equilibria ◽  
Thermodynamic Functions ◽  
Binary Systems ◽  
Liquid Solution ◽  
Calculated Diagram ◽  
Calculated Equilibrium ◽  
Good Agreement

Using experimental data available in the literature, two binary systems, namely Cu-Pb and Fe-Pb were recalculated. Next, accepting Cu-Fe phase diagram assessment as given by Ansara and Jansson, the ternary Cu-Fe-Pb system was analyzed. Calculated equilibrium lines and thermodynamic functions are compared with existing experimental data. Good agreement was found between the calculated diagram and the experimental results. Having the system optimized, functional dependences of the logarithms of the activity coefficients on temperature and concentrations for Cu, Fe and Pb in the liquid solution are given.

scholarly journals Cu-Al-Zn system: Calculation of thermodynamic properties in liquid phase

2013 ◽  
Vol 67 (1) ◽  
pp. 157-164 ◽  
Author(s):  
Lidija Gomidzelovic ◽  
Ivan Mihajlovic ◽  
Ana Kostov ◽  
Dragana Zivkovic
Keyword(s):  
Mathematical Modeling ◽  
Liquid Phase ◽  
General Solution ◽  
Thermodynamic Properties ◽  
Ternary System ◽  
Shape Memory ◽  
Ternary Interaction ◽  
General Solution Model ◽  
Shape Memory Materials ◽  
System Calculation

In the paper are presented the results of thermodynamic analysis of Cu-Al-Zn ternary system, which belongs to a group of copper-based shape memory materials. General solution model was used for calculation of thermodynamic properties in the temperature interval from 1373 to 2173 K, in sections from Cu, Al and Zn corner, respectively, with following ratios of 1:3, 1:1 and 3:1. Also, on the basis of the obtained results, ternary interaction parameters were determined using Mathematical Modeling System (MLAB).

scholarly journals Comparative analyses of thermodynamic properties assessments, performed by geometric models: Application to the Ni-Bi-Zn system

2013 ◽  
Vol 49 (3) ◽  
pp. 347-352 ◽  
Author(s):  
V. Gandova ◽  
G. Vassilev
Keyword(s):  
Experimental Data ◽  
Liquid Phase ◽  
Thermodynamic Properties ◽  
Wide Temperature Range ◽  
Excess Energy ◽  
Energy Calculation ◽  
Thermochemical Properties ◽  
Multicomponent Systems ◽  
Ternary Interaction ◽  
Geometric Models

The thermochemical properties of metals and alloys are essential for the chemists to invent and improve metallurgical and materials? design processes. However, the properties of multicomponent systems are still scarcely known due to experimental difficulties and the large number of related systems. Thus, the modelling of some thermodynamic properties would be advantageous when experimental data are missing. Considering mentioned facts, geometric models to estimate some thermodynamic properties for the liquid phase of the Ni-Bi-Zn systems. The calculations have been performed in a wide temperature range (1000-2000 K). Ternary interaction parameters for the liquid phase allowing molar Gibbs excess energy calculation have been determined.

Evaluation of the Thermodynamic Properties and Phase Equilibria of the Ordered γ’ and Disordered γ Phases in the Ni-Al-Ta System

2002 ◽  
Vol 755 ◽  
Author(s):  
Shihuai Zhou ◽  
Long-Qing Chen ◽  
Rebecca A. MacKay ◽  
Zi-Kui Li u
Keyword(s):  
Experimental Data ◽  
Thermodynamic Properties ◽  
Gibbs Energy ◽  
Phase Equilibria ◽  
Phase Diagrams ◽  
Gibbs Energy Function ◽  
Ternary Interaction ◽  
Two Phases ◽  
Rich Side ◽  
Good Agreement

ABSTRACTThe phase equilibria and thermodynamic properties of the ternary Ni-Al-Ta system on Ni-rich side were analyzed. Thermodynamic descriptions of the liquid, γ-fcc, γ'-L12, and π-Ni6AlTa phases were obtained using the CALPHAD (CALculation of PHase Diagrams) technique. The thermodynamics of γ-fcc and γ'-L12 phases were modeled with a single Gibbs energy function taking into account the crystallographic relation between the two phases. The ternary interaction parameters of the liquid and fcc phases were also determined. The calculated phase diagrams of the ternary Ni-Al-Ta system show a good agreement with experimental data.

scholarly journals Thermodynamic description of the Cu-Ni-Pb system

2011 ◽  
Vol 9 (4) ◽  
pp. 743-749 ◽  
Author(s):  
Jyrki Miettinen ◽  
Vania Gandova ◽  
Spas Georgiev ◽  
Gueorgui Vassilev
Keyword(s):  
Experimental Data ◽  
Phase Equilibrium ◽  
Liquid Phase ◽  
General Solution ◽  
Geometric Model ◽  
Thermodynamic Description ◽  
Experimental Phase ◽  
General Solution Model ◽  
Experimental Phase Equilibrium ◽  
Original Experimental Data

AbstractThermodynamic description is presented for the ternary Cu-Ni-Pb system. Optimized parameters of the sub-systems, Cu-Ni, Cu-Pb and Ni-Pb, are taken from earlier assessments and those of the ternary system are optimized in this study by using the experimental phase equilibrium and thermodynamic data. Better agreement is obtained by the present optimization. Calculated results are compared with the original experimental data to demonstrate the successfulness of this assessment. Moreover, a geometric model (general solution model) is used to estimate ternary integral molar Gibbs excess energies of the liquid phase from the bibary systems only. These values, however, disagree with the quantities obtained by thermodynamic optimizations.

scholarly journals Thermodynamics and phase diagram calculation of the binary arsenic-tellurium system in the framework of the generalized lattice model

2021 ◽  
Vol 2052 (1) ◽  
pp. 012015
Author(s):  
N V Gerasimov ◽  
M A Zakharov
Keyword(s):  
Experimental Data ◽  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Thermodynamic Parameters ◽  
Lattice Model ◽  
Binary Phase Diagram ◽  
Phase Diagram Calculation ◽  
Binary Phase ◽  
Good Agreement

Abstract In this work we describe how to efficiently calculate thermodynamic properties and T-x diagram of binary As-Te solution in the generalized lattice model. All the thermodynamic parameters of the As-Te solution are obtained within framework of the generalized lattice model. The binary phase diagram of As-Te system is calculated and good agreement with experimental data is obtained.

scholarly journals Thermodynamic modelling of the binary indium-lithium system, a promising li-ion battery material

2021 ◽  
pp. 41-41
Author(s):  
Wojciech Gierlotka ◽  
Władysław Gąsior ◽  
Adam Dębski ◽  
Miłosz Zabrocki
Keyword(s):  
Experimental Data ◽  
Ternary Systems ◽  
Calphad Approach ◽  
Li Ion Battery ◽  
System A ◽  
Proposed Model ◽  
Component Systems ◽  
Li Ion ◽  
Battery Material ◽  
Good Agreement

The binary In - Li system is a promising Li-ion battery anode material as well as a part of the important ternary Ge - In - Li system. The thermodynamic descriptions of metallic systems are widely used to retrieve information necessary for alloy applications. In this work, a thermodynamic model of a binary indium - lithium system prepared by the Calphad approach is proposed. The liquid phase was described by an associate model, and the solid phases determined by the ab-initio calculation were included in thermodynamic modeling. The obtained set of self-consistent thermodynamic parameters well reproduces the available experimental data and enables further calculations of multi-component systems. A good agreement between the calculations and the available experimental data was found. The proposed model can be used for further descriptions of ternary systems.

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