Phase equilibria of the Ag–Sn–Cu ternary system

2004 ◽  
Vol 19 (8) ◽  
pp. 2298-2305 ◽  
Author(s):  
Yee-wen Yen ◽  
Sinn-wen Chen
Keyword(s):  
Ternary System ◽  
Phase Equilibria ◽  
Binary Systems ◽  
Stable Phase ◽  
Thermodynamic Models ◽  
Ternary Interaction ◽  
Isothermal Sections ◽  
Stability Diagrams ◽  
Binary Compounds ◽  
Good Agreement

Phase equilibria of the Ag–Sn–Cu ternary system have been determined experimentally as well as using the calculation of phase diagram (CALPHAD) method. Various Ag–Sn–Cu alloys were prepared to study the isothermal sections of the Ag–Sn–Cu ternary system at 240 and 450 °C. No ternary compounds were found and all the binary compounds had only limited ternary solubility. The ∈1–Cu3Sn phase is a very stable phase. It is in equilibrium with the Ag, ζ–Ag4Sn, ∈2–Ag3Sn, η–Cu6Sn5, and Cu phases at 240 °C, and is in equilibrium with the Ag, ζ, ∈2, L, and δ–Cu4Sn phases at 450 °C. Thermodynamic models of the Ag–Sn–Cu ternary system were developed based on available thermodynamic models of the constituent binary systems without introducing ternary interaction parameters. The isothermal sections at 240 and 450 °C were calculated, and the results were in good agreement with those determined experimentally. In addition to the isothermal sections, stability diagrams of Sn and Cu were calculated as well.

scholarly journals Thermodynamic re-assessment of the Al-Sn-Zn ternary system

2019 ◽  
Vol 55 (3) ◽  
pp. 439-449 ◽  
Author(s):  
T. Cheng ◽  
L.-J. Zhang
Keyword(s):  
Experimental Data ◽  
Ternary System ◽  
Phase Equilibria ◽  
Experimental Phase Equilibria ◽  
Calphad Approach ◽  
Experimental Phase ◽  
Ternary Interaction ◽  
Self Consistent ◽  
Comprehensive Comparison ◽  
Good Agreement

In this paper, a thermodynamic re-assessment of the Al-Sn-Zn ternary system was performed by means of the CALculation of PHAse Diagram (CALPHAD) approach. The thermodynamic descriptions of the binary Al-Sn, Al-Zn, and Sn-Zn systems from the literature were directly adopted, and the newly reported experimental phase equilibria, enthalpies of mixing, and activities of Al in the ternary liquid phase were taken into account. A set of self-consistent thermodynamic parameters for the ternary Al-Sn-Zn system were finally obtained. A comprehensive comparison between the presently calculated phase equilibria/thermodynamic properties and the experimental data indicates that the present thermodynamic descriptions of the ternary Al-Sn-Zn system show very good agreement with most of the experimental data. The further direct comparison with the calculated results due to the previous assessment demonstrates that a significant improvement was achieved by the present assessment though fewer ternary interaction parameters were utilized.

scholarly journals Reassessment of the Binary Mn–Rh Phase Diagram and Experimental Investigations of the Ternary Bi–Mn–Rh System

2020 ◽  
Vol 41 (3) ◽  
pp. 282-298
Author(s):  
Peter Kainzbauer ◽  
Martin C. J. Marker ◽  
Klaus W. Richter
Keyword(s):  
Phase Diagram ◽  
Transition Temperature ◽  
Ternary System ◽  
Phase Equilibria ◽  
Powder Xrd ◽  
Ferromagnetic Phase ◽  
Experimental Investigations ◽  
Phase Boundaries ◽  
Isothermal Sections

Abstract The binary manganese–rhodium (Mn–Rh) phase diagram was reinvestigated from 5 to 90 at.% Rh with focus on determining the transition temperature between the ordered γ′-Mn3Rh and the γ-Mn phase as well as the transition temperature between of the tetragonal and cubic MnRh phase and phase boundaries, applying XRD, DTA and SEM including EDX. A reassessment of the Mn–Rh phase diagram based on obtained and literature data is given. Furthermore, the phase equilibria of the ternary bismuth–manganese–rhodium (Bi–Mn–Rh) system were experimentally investigated, focusing on the possible existence of new ferromagnetic phases. Isothermal sections at 330 °C and 600 °C were studied applying powder XRD and EDX. The corresponding phase diagram was established based on these results. No additional ferromagnetic phase was found in the ternary system.

Phase Equilibria in the BaO-SiO2-Al2O3 Ternary System at 1500 °C

2016 ◽  
Vol 697 ◽  
pp. 565-571 ◽  
Author(s):  
Rui Zhang ◽  
Pekka Taskinen
Keyword(s):  
Electron Microscopy ◽  
Scanning Electron Microscopy ◽  
Ternary System ◽  
Phase Equilibria ◽  
Ternary Compound ◽  
Energy Dispersive Analysis ◽  
Liquidus Composition ◽  
Isothermal Sections ◽  
X Ray ◽  
Scanning Electron

Phase equilibria of the BaO-SiO2-Al2O3 ternary system was experimentally investigated using a quenching technique and analyzed by Scanning Electron Microscopy (SEM) equipped with Energy Dispersive Analysis (EDS) and X-ray Powder Diffraction (XRD). A ternary compound was confirmed in the present work. The liquidus composition in equilibrium with the ternary compound at 1500 °C were quantified. The isothermal sections of the BaO-SiO2-Al2O3 ternary system at 1400 °C, 1500 °C, 1600 °C, and 1700 °C were calculated. Based on the data acquired, the isothermal section at 1500 °C was constructed.

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 Isothermal section of the Ni-Mn-Sb ternary system at 773K

2019 ◽  
Vol 55 (2) ◽  
pp. 147-156 ◽  
Author(s):  
W.-Q. Ao ◽  
H.-Z. Yu ◽  
F.-L. Liu ◽  
F.-S. Liu ◽  
J.-Q. Li ◽  
...  
Keyword(s):  
Isothermal Section ◽  
Ternary System ◽  
Binary Systems ◽  
Type Structure ◽  
X Ray Diffraction ◽  
Energy Dispersion Spectroscopy ◽  
Heusler Compound ◽  
Space Group ◽  
Ternary Compounds ◽  
Binary Compounds

The isothermal section of the Ni-Mn-Sb ternary system at 773 K was measured by means of 117 alloys which were analyzed by using X-ray diffraction (XRD), scanning electron microscopy (SEM), energy dispersion spectroscopy (EDS), and electron probe microanalysis (EPMA) techniques. The existence of 7 binary compounds, namely NiMn, Mn2Sb, MnSb, NiSb2, NiSb, Ni5Sb2, Ni3Sb and 2 ternary compounds, namely Ni2MnSb and NiMnSb were confirmed for this isothermal section. The four binary compounds Ni3Sb (Cu3Ti structure, Pmmn space group), Ni5Sb2 (Ni5Sb2-type structure, C2 space group), NiSb2 (FeS2-type structure, Pnnm space group) and Mn2Sb (Cu2Sb-type structure, P4/nmm space group) in the binary systems Ni-Sb and Mn-Sb were stoichiometric compounds, the homogeneity ranges of which were negligible. However the five single phases in the Ni-Mn system and the two binary compounds MnSb and NiSb showed more or less homogeneity ranges formed by substitution of Mn and Sb for Ni atom. The Heusler compound ? (Ni2MnSb) has L21-type ordered structure with space group Fm-3m, a = 0.6017 nm. And the crystal structure for the Half-Heusler compound ? (NiMnSb) is C1b-type (F-43m) with a = 0.5961 nm. The approximate homogeneity ranges of the two ternary compounds ? and ? at 773 K were investigated.

The ternary system silver–indium–aluminum

1970 ◽  
Vol 48 (20) ◽  
pp. 3164-3172 ◽  
Author(s):  
A. N. Campbell ◽  
R. Wagemann
Keyword(s):  
Isothermal Section ◽  
Ternary System ◽  
Room Temperature ◽  
Binary Systems ◽  
Single Phase ◽  
Ternary Eutectic ◽  
Phase Region ◽  
Phase Rule ◽  
Isothermal Sections ◽  
Vertical Sections

A number of alloys have been examined microscopically. From these observations, from the equilibrium diagrams of the component binary systems, and from the application of the phase rule, a room temperature isothermal section has been deduced. Three vertical sections through the ternary system have been partially constructed from differential thermal analysis. These data show that invariant planes occur at 143, 148, 241, and 506 °C. From the information obtained from the vertical sections and the room temperature isothermal section, isothermal sections have also been proposed at 143 and 148°. The transformation at the 143 °C invariant plane is a ternary eutectic, at 148° a ternary peritectic, and the other transformations at 241 and 506° are also ternary peritectics.Some evidence indicates that the ξ-phase of Ag–Al system and the γ-phase of Ag–In system link up through the ternary system forming a single phase region, and that such may also be the case with the phases µ and α′ of the systems Ag–Al and Ag–In, respectively. The phases ε and [Formula: see text] of the system Ag–In do not appear to be capable of dissolving aluminum appreciably.

Numerical Prediction of the Thermodynamic Properties of Ternary Al-Ni-Pd Alloys

2016 ◽  
Vol 35 (1) ◽  
pp. 37-45
Author(s):  
Maryana Zagula-Yavorska ◽  
Jolanta Romanowska ◽  
Sławomir Kotowski ◽  
Jan Sieniawski
Keyword(s):  
Thermodynamic Properties ◽  
Ternary System ◽  
Boundary Conditions ◽  
Mole Fraction ◽  
Thermodynamic Functions ◽  
Binary Systems ◽  
Interaction Parameters ◽  
Ternary Interaction ◽  
The Third ◽  
Gibbs Triangle

AbstractThermodynamic properties of ternary Al-Ni-Pd system, such as exGAlNPd, µAl(AlNiPd),µNi(AlNiPd) and µPd(AlNiPd) at 1,373 K, were predicted on the basis of thermodynamic properties of binary systems included in the investigated ternary system. The idea of predicting exGAlNiPd values was regarded as calculation of values of the exG function inside a certain area (a Gibbs triangle) unless all boundary conditions, that is values of exG on all legs of the triangle are known (exGAlNi, exGAlPd, exGNiPd). This approach is contrary to finding a function value outside a certain area, if the function value inside this area is known. exG and LAl,Ni,Pd ternary interaction parameters in the Muggianu extension of the Redlich–Kister formalism were calculated numerically using the Excel program and Solver. The accepted values of the third component xx differed from 0.01 to 0.1 mole fraction. Values of LAlNiPd parameters in the Redlich–Kister formula are different for different xx values, but values of thermodynamic functions: exGAlNiPd, µAl(AlNiPd), µNi(AlNiPd) and µPd(AlNiPd) do not differ significantly for different xx values. The choice of xx value does not influence the accuracy of calculations.

Phase Equilibria in the Sn-Ni-Zn Ternary System: Isothermal Sections at 200°C, 500°C, and 800°C

2010 ◽  
Vol 39 (12) ◽  
pp. 2643-2652 ◽  
Author(s):  
Jaewon Chang ◽  
Sun-Kyoung Seo ◽  
Hyuck Mo Lee
Keyword(s):  
Ternary System ◽  
Phase Equilibria ◽  
Isothermal Sections
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