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 Prediction of phase equilibria in the In-Sb-Pb system

2008 ◽  
Vol 73 (3) ◽  
pp. 377-384
Author(s):  
Dusko Minic ◽  
Dragan Manasijevic ◽  
Dragana Zivkovic ◽  
Nada Strbac ◽  
Zvonimir Stankovic
Keyword(s):  
Experimental Data ◽  
Phase Diagram ◽  
Phase Equilibria ◽  
Binary Systems ◽  
Equilibrium Phase ◽  
Calculated Phase Diagram ◽  
Equilibrium Phase Diagram ◽  
Thermodynamic Prediction ◽  
Calculated Liquidus ◽  
Good Agreement

Binary thermodynamic data, successfully used for phase diagram calculations of the binary systems In-Sb, Pb-Sb and In-Pb, were used for the prediction of the phase equilibria in the ternary In-Sb-Pb system. The predicted equilibrium phase diagram of the vertical Pb-InSb section was compared with the results of differential thermal analysis (DTA) and optical microscopy. The calculated phase diagram of the isothermal section at 300 ?C was compared with the experimentally (SEM, EDX) determined composition of phases in the chosen alloys after annealing. Very good agreement between the binary-based thermodynamic prediction and the experimental data was found in all cases. The calculated liquidus projection of the ternary In-Sb-Pb system is also presented.

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.

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 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.

Thermodynamic Assessment of Phase Equilibria in the SrO-Al2O3 System

2021 ◽  
Vol 410 ◽  
pp. 725-729
Author(s):  
Larisa A. Makrovets ◽  
Olga V. Samoilova ◽  
Igor V. Bakin
Keyword(s):  
Experimental Data ◽  
Phase Diagram ◽  
Phase Equilibria ◽  
Thermodynamic Assessment ◽  
Equilibrium Constants ◽  
Liquidus Line ◽  
Ionic Solutions ◽  
Oxide Melt ◽  
Optimal Values ◽  
Good Agreement

Thermodynamic modeling of phase equilibria with the subsequent construction of the phase diagram of the SrO–Al2O3 system has been carried out. To calculate the activities of the oxide melt in the course of this work, we used the approximation of the theory of subregular ionic solutions, with the most optimal values of the energy parameters Q1112 = –104 349: Q1122 = –217 689; Q1222 = –104 436 J/mole. The results obtained for the liquidus line in this work are in good agreement with the literature experimental data. In the course of the calculation, the values of the equilibrium constants for the formation of strontium aluminates from the components of the oxide melt were estimated.

A Thermodynamic Database for Fe-Cr-Mn-Ni-Ti-S-C-N System

2005 ◽  
Vol 500-501 ◽  
pp. 711-718 ◽  
Author(s):  
Katsunari Oikawa ◽  
Hajime Mitsui ◽  
Kiyohito Ishida
Keyword(s):  
Complex System ◽  
Experimental Data ◽  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Stainless Steels ◽  
Carbon Steels ◽  
Thermodynamic Database ◽  
Low Carbon ◽  
Low Carbon Steels ◽  
Good Agreement

A database for thermodynamic information of sulfides and carbo-sulfide in steels has been developed, where the thermodynamic properties of the relevant constituting sub-system of the complex system have been assessed by the CALPHAD (Calculation of Phase Diagrams) approach. The utility of this database is demonstrated in examples of phase diagram calculations of low carbon steels and stainless steels. The calculated results are in good agreement with experimental data. The developed thermodynamic database would be useful in predicting the formation of sulfides and carbo-sulfides in the commercial steels.

Thermodynamic Calculation of the Rare Earth Permanent Magnets: Fe-RE (RE=Ho, Er, Tm, Sm) Binary Systems

2017 ◽  
Vol 898 ◽  
pp. 1042-1047
Author(s):  
M.H. Rong ◽  
X.L. Chen ◽  
Jiang Wang ◽  
S.D. Lin ◽  
G.H. Rao ◽  
...  
Keyword(s):  
Experimental Data ◽  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Thermodynamic Calculation ◽  
Binary Systems ◽  
Permanent Magnets ◽  
Ternary Systems ◽  
Calculated Phase Diagram ◽  
Experimental Information ◽  
Microstructure And Magnetic Properties

The experimental data of phase equilibria and thermodynamic properties of the Fe-RE (RE=Ho, Er, Tm, Sm) binary systems were reviewed. The previous thermodynamic calculation of the Fe-RE (RE=Ho, Er, Tm, Sm) binary systems were discussed based on the comparison of the calculated phase diagram and thermodynamic properties with the experimental data. The compared results show that more experimental information of phase diagram and thermodynamic properties in the Fe-RE (RE=Ho, Er, Tm, Sm) binary systems should be determined and then thermodynamic re-calculation of these binary systems would be performed to develop compatible and available thermodynamic database of the RE-Fe-B ternary systems. It is indispensable to study the relations between alloy compositions, microstructure and magnetic properties of novel Nd-Fe-B-based permanent magnets.

scholarly journals Thermodynamics and phase diagram calculation of some sections in the Ag-Bi-Sn system

2007 ◽  
Vol 72 (8-9) ◽  
pp. 901-909 ◽  
Author(s):  
Dragana Zivkovic ◽  
Iwao Katayama ◽  
Dragan Manasijevic ◽  
Hiromi Yamashita ◽  
Nada Strbac
Keyword(s):  
Experimental Data ◽  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Phase Diagrams ◽  
Enthalpy Of Formation ◽  
Thermodynamic Functions ◽  
Excess Energy ◽  
Phase Diagram Calculation ◽  
Calculated Phase ◽  
Activity Diagrams

The thermodynamic properties and characteristic phase diagrams of some sections in the Ag-Bi-Sn system were calculated. The thermodynamic functions, such as Gibbs excess energy, activity and enthalpy of formation, were calculated using the RKM model and compared with experimental data reported in the literature. Iso-activity diagrams for all three components at 900 K have been constructed. The calculated phase diagrams of the vertical sections Sn-AgBi, Ag-BiSn and Bi-AgSn, obtained using the ThermoCalc program, were compared and confirmed with the results of DTA measurements from the present work. .

Calculation of phase diagrams and thermodynamic properties of 14 additive and reciprocal ternary systems containing Li2CO3, Na2CO3, K2CO3, Li2SO4, Na2SO4, K2SO4, LiOH, NaOH, and KOH

1984 ◽  
Vol 62 (3) ◽  
pp. 457-474 ◽  
Author(s):  
A. D. Pelton ◽  
C. W. Bale ◽  
P. L. Lin
Keyword(s):  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Molten Salt ◽  
Phase Diagrams ◽  
Binary Systems ◽  
Ternary Phase ◽  
Ternary Phase Diagram ◽  
Ternary Systems ◽  
Maximum Error ◽  
Critical Assessment

Phase diagrams and thermodynamic properties of five additive molten salt ternary systems and nine reciprocal molten salt ternary systems containing the ions Li+, Na+, [Formula: see text], OH− are calculated from the thermodynamic properties of their binary subsystems which were obtained previously by a critical assessment of the thermodynamic data and the phase diagrams in these binary systems. Thermodynamic properties of ternary liquid phases are estimated from the binary properties by means of the Conformal Ionic Solution Theory. The ternary phase diagrams are then calculated from these thermodynamic properties by means of computer programs designed for the purpose. It is found that a ternary phase diagram can generally be calculated in this way with a maximum error about twice that of the maximum error in the binary phase diagrams upon which the calculations are based. If, in addition, some reliable ternary phase diagram measurements are available, these can be used to obtain small ternary correction terms. In this way, ternary phase diagram measurements can be smoothed and the isotherms drawn in a thermodynamically correct way. The thermodynamic approach permits experimental data to be critically assessed in the light of thermodynamic principles and accepted solution models. A critical assessment of error limits on all the calculated ternary diagrams is made, and suggestions as to which composition regions merit further experimental study are given.

scholarly journals A thermodynamic description of metastable c-TiAlZrN coatings with triple spinodally decomposed domains

2017 ◽  
Vol 53 (2) ◽  
pp. 85-93 ◽  
Author(s):  
J. Zhou ◽  
L. Zhang ◽  
L. Chen ◽  
Y. Du ◽  
Z.K. Liu
Keyword(s):  
Experimental Data ◽  
Phase Equilibria ◽  
First Principles ◽  
Thermodynamic Description ◽  
Quantitative Description ◽  
Experimental Phase Equilibria ◽  
Free Energies ◽  
Calphad Technique ◽  
Important Input ◽  
Good Agreement

A critical thermodynamic assessment of the metastable c-TiAlZrN coatings, which are reported to spinodally decompose into triple domains, i.e., c-TiN, c-AlN, and c-ZrN, was performed via the CALculation of PHAse Diagram (CALPHAD) technique based on the limited experimental data as well as the first-principles computed free energies. The metastable c-TiAlZrN coatings were modeled as a pseudo-ternary phase consisting of c-TiN, c-AlN and c-ZrN species, and described using the substitutional solution model. The thermodynamic descriptions for the three boundary binaries were directly taken from either the CALPHAD assessment or the first-principles results available in the literature except for a re-adjustment of the pseudo-binary c-AlN/c-ZrN system based on the experimental phase equilibria in the pseudo-ternary system. The good agreement between the calculated phase equilibria and the experimental data over the wide temperature range was obtained, validating the reliability of the presently obtained thermodynamic descriptions for the c-TiAlZrN system. Based on the present thermodynamic description, different phase diagrams and thermodynamic properties can be easily predicted. It is anticipated that the present thermodynamic description of the metastable c-TiAlZrN coatings can serve as the important input for the later quantitative description of the microstructure evolution during service life.

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