CALPHAD-Computer Coupling of Phase Diagrams and Thermochemistry

Article	Citations
TAF-ID: An international thermodynamic database for nuclear fuels applications	44
A novel approach to calculate diffusion matrix in ternary systems: Application to Ag–Mg–Mn and Cu–Ni–Sn systems	27
Impact of gas formation on the transfer of Ti and O from TiO2-bearing basic-fluoride fluxes to submerged arc welded metals: A thermodynamic approach	25
Use of third generation data for the elements to model the thermodynamics of binary alloy systems: Part 1 – The critical assessment of data for the Al-Zn system	25
The phase equilibria of the Cu–Cr–Ni and Cu–Cr–Ag systems: Experimental investigation and thermodynamic modeling	23
Thermodynamic description of the constitutive binaries of the NaCl-KCl-UCl3-PuCl3 system	22
Re-assessment of the Mg–Zn–Ce system focusing on the phase equilibria in Mg-rich corner	22
Thermodynamic modelling of the Ca–O system including 3rd generation description of CaO and CaO2	20
Thermodynamic assessment of the Ni–Co–Cr system and Diffusion Study of its fcc phase	19
Thermodynamic assessment of the Co–Cr–Ni, Co–Cr–W and Co–Ni–W	19
A method for handling the extrapolation of solid crystalline phases to temperatures far above their melting point	18
Description of the thermodynamic properties of pure gold in the solid and liquid states from 0 K	17
Diffusivity and atomic mobility for fcc Ni–Cu–Ti alloy: Measurements and an intelligent modeling	17
DFTTK: Density Functional Theory ToolKit for high-throughput lattice dynamics calculations	17
First-principle calculations on the Al/L12-Al3Zr heterogeneous nucleation interface	16
Thermodynamic properties of sodium pyrovanadate (Na4V2O7) at high temperature (298.15–873 K)	16
On the complexity of solid-state diffusion in highly concentrated alloys and the sluggish diffusion core-effect	16
Phase diagrams and thermochemical modeling of salt lake brine systems. IV. Thermodynamic framework and program implementation for multicomponent systems	15
Thermodynamic descriptions of ternary Al–Si–Sr system supported by key experiments	15
Ab initio simulations on the pure Cr lattice stability at 0K: Verification with the Fe-Cr and Ni-Cr binary systems	14
Advanced data science toolkit for non-data scientists – A user guide	14
Comparison of statistically-based methods for automated weighting of experimental data in CALPHAD-type assessment	14
Thermodynamics of monoclinic and tetragonal hafnium dioxide (HfO2) at ambient pressure	14
CALPHAD modeling of the glass transition for a pure substance, coupling thermodynamics and relaxation kinetics	14
Experimental phase diagram, thermodynamic modeling and solidified microstructure in the Mo–Ni–W ternary system	14

Thermodynamic assessment of the RE-B (RE = Ce, Dy, Lu) binary systems	13
Multi-component phase-field simulation of microstructural evolution and elemental distribution in Fe–Cu–Mn–Ni–Al alloy	13
Computational design of V-CoCrFeMnNi high-entropy alloys: An atomistic simulation study	12
Thermodynamic assessment of the Ti–Al–Zr system and atomic mobility of its bcc phase	12
Experimental investigation of phase equilibria in the Co–Fe–La system at 600 and 500 °C	12
Thermodynamic re-assessment of the Mg–Gd binary system coupling the microstructure evolution during ageing process	12
Addition of V2O5 and V2O3 to the CaO–FeO–Fe2O3–MgO–SiO2 database for vanadium distribution and viscosity calculations	12
An evaluation of the Mn–Ga system: Phase diagram, crystal structure, magnetism, and thermodynamic properties	12
Thermodynamic assessment of the Te-X (X = As, Si, Co) systems	12
Second nearest-neighbor modified embedded-atom method interatomic potentials for the Co-M (M = Ti, V) binary systems	11
A self-consistent model to describe the temperature dependence of the bulk modulus, thermal expansion and molar volume compatible with 3rd generation CALPHAD databases	11
Thermodynamic reassessment of the Ag–Cu phase diagram at nano-scale	11
Towards high-throughput microstructure simulation in compositionally complex alloys via machine learning	11
A brief history of heat measurements by calorimetry with emphasis on the thermochemistry of metallic and metal-nonmetal compounds	11
ICME guided design of heat-treatable Zn-modified Al–Mg alloys	11
Thermodynamic reassessment of the Mo–Hf and Mo–Zr systems supported by first-principles calculations	11
Modeling on the molar volume of the Al–Cu–Mg–Si system	11
Phase equilibria of the Al2O3–CaO–SiO2-(0%, 5%, 10%) MgO slag system for non-metallic inclusions control	11
CALPHAD modeling based on Gibbs energy functions from zero kevin and improved magnetic model: A case study on the Cr–Ni system	10
Experimental investigation and CALPHAD modeling of the Cu–Cr–Si ternary system	10
Evaluating the phase stability of binary titanium alloy Ti-X (X = Mo, Nb, Al, and Zr) using first-principles calculations and a Debye model	10
Extraction of titanium resources from the titanium-containing waste slag: Thermodynamic analysis and experimental verification	10
Thermodynamic optimization of the ZnO–FeO–Fe2O3–SiO2 system	10
Assessment of diffusion mobility for bcc phase of Ti–Al–Ni ternary system	10
First-principles-only CALPHAD phase diagram of the solid aluminium-nickel (Al-Ni) system	10
Challenges and opportunities in thermodynamic and kinetic modeling microalloyed HSLA steels using computational thermodynamics	10
Recent developments for molten salt systems in Thermochimica	10
Optimization of the mechanical properties of ultra-fine WC-Co-Cr3C2 cemented carbides via an approach based on thermodynamic calculations and characterization of the experimental results by the Weibul	10
Precipitation of γ′ in the γ binder phase of WC-Al-Co-Ni cemented carbide: A phase-field study	9
Thermodynamic evaluation and investigation of solidification microstructure in the Fe–Cr–Ni–C system	9
Effect of CaO on the liquid/spinel/matte/gas equilibria in the Si–Fe–O–Cu–S system at controlled P(SO2) 0.3 and 0.6 atm	9
Atomic mobilities and diffusivities in fcc_A1 Ni–Cr–V system: Modeling and application	9
Interdiffusion behaviors and mechanical properties of Zn–Cr system	9
Phase diagram of Bi–In–Se ternary system	9
A thermodynamic assessment of the Mg–Sn–Sb ternary system	9
A CALPHAD-type Young's modulus database of Ti-rich Ti–Nb–Zr–Mo system	9
Thermodynamic description of the Dy–Si–C system in silicon carbide ceramics	9
Diffusion coefficients and atomic mobilities in fcc Ni–Cu–Mo alloys: Experiment and modeling	9
Ludwig–Soret effect formulated from the grain-boundary-phase model	9
Experimental investigation and thermodynamic modeling of the Mg–Sn–Sr ternary system	9
Experimental study and thermodynamic optimization of the ZnO–FeO–Fe2O3–CaO–SiO2 system	9
Diffusion research in HCP Mg–Al–Sn ternary alloys	9
Thermodynamic assessment of the Fe–V–O system	9
Application of phase equilibrium studies of CaO–SiO2–Al2O3–MgO system for oxide inclusions in Si-deoxidized steels	9
Kinetic interface condition phase diagram for the rapid solidification of multi-component alloys with an application to additive manufacturing	8
Thermodynamic modelling of the ternary Bi-Ga-Te system for potential application in thermoelectric materials	8
Thermodynamic optimization of the binary PbO–CaO and ternary PbO–CaO–SiO2 systems	8
Thermodynamics and its prediction and CALPHAD modeling: Review, state of the art, and perspectives	8
A computational experiment on deducing phase diagrams from spatial thermodynamic data using machine learning techniques	8
Diffusion study in BCC Zr–Nb–Ti ternary alloys	8

Thermodynamic descriptions of the binary Ni–Sn and ternary Cu–Ni–Sn systems over entire composition range: A revisit	8
Heat capacity measurement of C14–ZrMn2 and thermodynamic re-assessment of the Mn–Zr system	8
Critical thermodynamic evaluation of the binary sub-systems of the core sulphate system Na2SO4–K2SO4–MgSO4–CaSO4	8
Thermodynamic re-assessment of the Mg–Y binary system coupling with the precipitation sequence during aging process	8
Thermodynamic re-assessment of pure chromium using modified segmented regression model	8
Experimental investigation, thermodynamic modeling and solidified microstructure of the Cu–Ti–Nb ternary system	8
Implementation of the extended Einstein and two-state liquid models for thermodynamic description of pure SiO2 at 1 atm	8
Thermal properties of Ag@Ni core-shell nanoparticles	8
Modelling the thermodynamic data for hcp Zn and Cu–Zn alloys– an ab initio and calphad approach	8
Experimental study and thermodynamic modeling of the Cu–Sn–Si–O system and sub-systems	8
Thermodynamic optimization of the binary PbO-“Cu2O”, “Cu2O”-SiO2 and ternary PbO-“Cu2O”-SiO2 systems	8
Application of geometric models for calculation of viscosity and density of LiNO3 and CsNO3 based ternary nitrate salt systems	8
Critical evaluation and thermodynamic assessment of the R2O–P2O5 (R = Li, Na and K) systems	8
Thermodynamic description and phase selection for the Mo–Ti–Zr biomedical alloys	8
Thermodynamic assessment of the RE-B (RE=Ho, Er, Tm) binary systems	8
Predicting the thermodynamics of aluminum dross denitrification of flue gas	8
Diffusivities and atomic mobilities in bcc Ti–Mo–Ta alloys	8
Thermodynamic coupling in the computation of dendrite growth kinetics for multicomponent alloys	8
The interdiffusivity matrices in fcc_A1 Ni–Cr–V alloys: A high-throughput evaluation by CALTPP program	8
Statistical approach for automated weighting of datasets: Application to heat capacity data	7
Facilitating flux design process geared towards submerged arc welding via thermodynamic approach: Case study into CaF2–SiO2–Na2O–Al2O3–TiO2 agglomerated flux	7
Enthalpy of formation of binary solid and liquid Mg alloys – Comparison of Miedema-model calculations with data reported in literature	7
Effect of alloying on stability of grain boundary in γ phase of the U–Mo and U–Nb systems	7
Experimental investigation and modeling of the Cu–Sn system in vacuum distillation	7
Predictive computations of intermetallic σ phase evolution in duplex steel. I) Thermodynamic modeling of σ phase in the Fe–Cr–Mn–Mo–Ni system	7
Genomic materials design: CALculation of PHAse Dynamics	7
Effect of MgO on the liquid/spinel/matte/gas equilibria in the Si–Fe–Mg–O–Cu–S system at controlled P(SO2) 0.3 and 0.6 atm	7
CALPHAD: Method for calculation of finite temperature thermodynamic properties for magnetic allotropes—Case study on Fe, Co and Ni	7
Thermodynamic evaluation and optimization of LiNO3–KNO3–NaNO3 ternary system	7
First-principles study of FeNi1-xCrx (0≤x≤1) disordered alloys from special quasirandom structures	7
Thermodynamic properties of magnesium orthovanadate Mg3(VO4)2 at high temperatures (298.15–1473 K)	7
Phase diagram of Ag–Pb–Sn system	7
Diffusion behaviors and atomic mobilities in Mg–Sc hcp and bcc alloys: Investigation via single-phase and multi-phase diffusion couples	7
Improving mechanical properties of Al–Si–Cu–Mg alloys by microallying Sc using thermodynamic calculations	7
Kinetic modeling of β-BCC phase in Ti–Al–Nb system in the temperature range of 1060–1200 °C	7
Thermodynamic modelling of the Al–Co–Mn system	7
Experimental investigation and thermodynamic modeling of the Mg–Cu–Ca ternary system	7
Critical assessment of thermodynamic properties of important polycyclic aromatic hydrocarbon compounds (PAHs) in coal tar pitch at typical temperature ranges of the carbonization process	6
Thermodynamic optimization of the binary CaO–ZnO and ternary CaO–ZnO–SiO2 systems	6
CALPHAD and the materials genome A 10 year anniversary	6
Critical evaluation and thermodynamic modeling of the Fe–P and Fe–C–P system	6
Interdiffusion behaviors and mechanical properties in BCC Zr-rich Zr–Nb–Ta system	6
Thermodynamic calculation of S−Sb system and Cu−S−Sb system	6
Phase equilibria investigation of the Al–Ni–Er ternary system at 600 °C and 700 °C	6
Thermodynamic assessment of the CaO–Cu2O–FeO–Fe2O3 system	6
Experimental investigation and thermodynamic description of the Ni–Ta–W system	6
Third-generation CALPHAD description of pure GeO2 at 1 atm	6
Experimental study of thermodynamic properties and phase equilibria in Na2CO3–K2CO3 system	6
Mobilities of Ti and Fe in disordered TiFe-BCC assessed from new experimental data	6
Examination of dendritic growth and microsegregation during solidification of Al–Li binary alloy using the phase-field simulation coupling CALPHAD data	6
Design of ESR slag for remelting 9CrMoCoB steel through experiments and thermodynamic calculations	6
Thermodynamic modeling of the Te-X (X = Zr, Ce, Eu) systems	6
Experimental measurement of diffusion coefficients and assessment of diffusion mobilities in HCP Mg–Li–Al alloys	6
Binary Ti–Fe system. Part I: Experimental investigation at high pressure	6
A thermodynamic description of the Al–Cu–Fe–Mn system for an immiscible medium-entropy alloy design	6
Structural stability of Co–V intermetallic phases and thermodynamic description of the Co–V system	6
Experimental study and thermodynamic calculation of the Sm-Co-Fe system	5
Experimental investigation and modeling of vapor-liquid equilibria for Bi–Zn and Bi–Sn–Zn systems at 10 Pa	5
Algorithms useful for calculating multi-component equilibria, phase diagrams and other kinds of diagrams	5
Thermodynamic assessment of the Ga-Sn-Zn system	5
Phase equilibria in the FeO–Fe2O3–SiO2 system: Experimental measurement and thermodynamic modeling	5
Binary Ti–Fe system. Part II: Modelling of pressure-dependent phase stabilities	5
Melting temperature prediction by thermoelastic instability: An ab initio modelling, for periclase (MgO)	5
Thermodynamic calculation and solidification behavior of the La-Pr-Fe and Ce-Pr-Fe ternary systems	5
Thermodynamic re-assessment and liquidus projection of the Cu–Ni–Ti system	5
Experimental investigation and thermodynamic modeling of the Mo–Co–B ternary system	5
Phase equilibria study in the system “Fe2O3”-ZnO-Al2O3-(PbO+CaO+SiO2) in air	5
Experimental investigation and thermodynamic description of the Fe–Mo–Zr system	5
Thermodynamic modeling of the Al–Nb–V system	5
Predictive computations of intermetallic σ phase evolution in duplex steel. II) Thermo-kinetic simulation in duplex and hyper duplex stainless steels	5
Thermodynamic re-optimizations of the Ru–X (X=Al, Hf, Mo, Ti) binary systems	5
Impact of magnetism on the phase stability of rare-earth based hard magnetic materials	5
Integrating computational and experimental thermodynamics of refractory materials at high temperature	4
A description of the thermodynamic properties of pure indium in the solid and liquid states from 0 K	4
Genesis of plasticity-induced serrated metal flow in medium-Mn steel	4
Effects of Al2O3 and “Cr2O3” on phase equilibria of the system “FeO”−MgO−SiO2 at iron saturation	4
Phase transition, microstructure and solidification of Ce–La–Fe and Ce–Nd–Fe alloys: Experimental investigation and thermodynamic calculation	4
Thermodynamic optimization of the As–S system	4
Phase equilibria and thermodynamic assessment of the Mo–Nb-Re ternary system	4
Thermodynamic model for CoSO4(aq) and the related solid hydrates in the temperature range from 270 to 374 K and at atmospheric pressure	4

Re-optimization of the binary Sb − Se system aided by ab-initio calculations	4
Experimental investigation and thermodynamic re-assessment of the Ti–Zn system and atomic mobility of its bcc phase	4
Phase equilibria and thermodynamic investigation of the In–Li system	4
Study of thermal stability of half-Heusler alloys TiFe1.33Sb and TixNb1-xFeSb (x = 0, 0.15) by differential thermal analysis and Knudsen effusion method	4
Experimental investigation and thermodynamic description of Mg–Sc–Zn ternary system	4
Phase-field simulation of solidification microstructure in Ni and Cu–Ni alloy using the Wheeler, Boettinger and McFadden model coupled with the CALPHAD data	4
Thermodynamic modeling of the Ta-O system	4
Predicting kinetic interface condition for austenite to ferrite transformation by multi-component continuous growth model	4
Experimental investigation and thermodynamic assessment of the Al–Er system	4
Ultra-light Mg–Li alloy by design to achieve unprecedented high stiffness using the CALPHAD approach	4
Liquidus projection of the Al–Nb–V system	4
The origins, growth and current industrial impact of Calphad	4
An experimental study on the phase equilibria of FeOx-saturated iron silicate slags and metallic copper alloys at 1200–1300 °C	4
Phase equilibria of the Cu–Zr–Si system at 750 and 900 °C	4
Thermodynamic modelling of the Al–Co–Fe system	4
Experimental investigation of the Ni-V-W ternary phase diagrams	4
Structural and physicochemical properties of silver-rich Ag–Al alloys	4
Critical evaluation of ternary phase diagram data: Important considerations in the scrutiny of the correctness, coherence, and interpretation	4
Thermodynamic properties of Na2MgSiO4: DFT calculation and experimental validation	4
Evolutionary search for new compounds in the Ti–Si system	4
A new model on the viscosities of the Zr–Cu–Al liquid alloys	4
Thermodynamic assessment of the Ga–Se–Te system	4
Phase transformations and phase equilibria in the La-Ni and La-Ni-Fe systems. Part 2: Isothermal sections at 750, 600 and 500 °C	4
Experimental investigation and thermodynamic calculation of Ti-Hf-Mn system	4
Experimental investigation of phase equilibria in the Fe-Hf-Zr system at 1173 K and 1373 K	4
Predicting the density of molten alloys using computational thermodynamics	4
Gaseous phase above Ru–O system: A thermodynamic data assessment	4
Thermodynamic modeling of selected ternary systems containing Y and CALPHAD simulation of CoNiCrAlY metallic coatings	4
Thermodynamic re-assessment and experimental confirmation for the Zn–Mn system	4
Experimental and thermodynamic study of high-temperature phase stability of Fe–Zr binary alloy	4
Sm–Ti binary thermodynamic database and phase diagram	3
Reassessment of mobility parameters for Cantor High Entropy Alloys through an automated procedure	3
Phase diagram and thermodynamic properties of the GdBr3–CsBr binary system	3
Diffusivities and atomic mobilities in BCC Ti-Rich Ti–V–Cr ternary alloys	3
Interdiffusion and atomic mobility in the bcc Ti–rich Ti–Cr–Mn system	3
Experimental investigation and thermodynamic optimization of the Al–Ni–Sc ternary system	3
Thermodynamic assessment of the Ga–La and Ga–Pr systems supported by ab-initio calculations	3
Thermodynamic modeling of the Pd–Zn system with uncertainty quantification and its implication to tailor catalysts	3
Thermodynamic re-modelling of the Cu–Nb–Sn system: Integrating the nausite phase	3
Thermodynamics of the Ti–Al–O system	3
Interdiffusivity matrices and atomic mobilities in fcc Co–Ni–Si and Cu–Co–Ni–Si alloys: Experiment and modeling	3
Rheological properties of Al2O3–CaO–SiO2 slags	3
First-principles calculations and thermodynamic assessment of the Nb–V system using CE-CVM	3
Modeling the thermodynamics of the FeTi hydrogenation under para-equilibrium: An ab-initio and experimental study	3
Machine learning aided high-throughput first-principles calculations to predict the formation enthalpy of σ phase	3
Analytical solutions for the correlation functions of perfectly ordered binary phases based on bcc, fcc and cph structures using cluster variation method	3
Experimental investigation and thermodynamic calculation of the Co–Sn–Bi ternary system	3
A thermodynamic description of the C–Nb–Ti system over the whole composition and temperature ranges and its application in solidification microstructure analysis	3
Thermophysical systematics of Ni3In and Ni3Sn compounds: Ab initio database and interrelations	3
Experimental investigation and CALPHAD modeling of phase equilibria of the Cu–Ag–Zr system	3
Thermodynamic modeling of the Mg–Mn–Zn system based on the refinement of the Mg–Zn and Mn–Zn systems	3
Experimental study and thermodynamic assessment of thermodynamic properties of pure Li2CO3 and K2CO3	3
Coupled experimental phase diagram study and thermodynamic optimization of the Na2O–B2O3–Fe2O3 system in air	3
Phase diagram and thermodynamic properties of the LaI3–RbI binary system	3
Experimental study coupled with thermodynamic assessment of the NiSO4–K2SO4 quasi binary system	3
Thermodynamic assessments of the U–Nb–Mo and U–Nb–Cr ternary systems	3
Experimental investigation and thermodynamic description of the Ni–Ti–W system	3
Thermodynamic assessment of the Ni-Co-M1 (M1 = Re, Ru) and Ni-Re-M2 (M2 = W, Ta) superalloy systems over the whole composition	3
Experimental study and thermodynamic re-assessment of the Co–Sb system	3
Interdiffusion and atomic mobility of the Mg–Sn–Zn system	3
Experimental investigation and thermodynamic assessment of the Ag–Cr–Y and Ag–Cu–Y ternary systems	3
On the use of Boltzmann's transformation to solve diffusion problems	2
Magnetically altered phase stability in Fe-based alloys: Modeling and database development	2
Thermodynamic optimization of the constitutive binaries of the LiCl/RbCl/CaCl2-NaCl-UCl3-PuCl3 systems	2
Ho–Co and Ho-Co-Fe phase diagrams	2
Thermodynamic modelling assessment of the ternary system Cs-Mo-O	2
Thermodynamic assessment of the Co–Cr–Fe system and atomic mobility study of its fcc phase	2
Diffusion coefficients and atomic mobilities in fcc Ag–Ge and Cu–Ge alloys: Experiment and modeling	2
Using nested mappings for heat capacity data processing	2
Experimental investigations on the quinary interdiffusivities in diffusion couples of NiAlCoCr alloy/CoCrFeNi high-entropy alloys	2
Modification of Lu's (2005) high pressure model for improved high pressure/high temperature extrapolations. Part II: Modeling of osmium–platinum system at high pressure/high temperature	2
Critical evaluation and thermodynamic modeling of the Al–Li binary system	2
Modification of Lu's (2005) high pressure model for improved high pressure/high temperature extrapolations. Part I: Modeling of platinum at high pressure/high temperature	2
Diffusion assessments for the Al–Cu–Ni system by diffusion triple experiment and two-dimensional diffusion simulation	2
Diffusion coefficient measurement and atomic mobility assessment for bcc Ti–V–Fe ternary alloys	2
On the Bi–Ni system. Ab initio calculations and thermodynamic remodeling	2
Study of thermal stability of n-type skutterudites Sr0.07Ba0.07Yb0.07Co4Sb12 by differential thermal analysis and Knudsen effusion method	2
Modelling the density of Al2O3–CaO–MgO–SiO2 system using the CALPHAD approach	2
Pressure dependence of thermodynamic interaction parameters for binary solid solution phases: An atomistic simulation study	2
Experimental study of the phase relations at 1023 and 1123 K in the Ag–Cu–Y system	2
Investigation of the solid/liquid phase transitions in the U–Pu–O system	2
Effect of alloying elements on the dissolution behavior of iron in magnesium melt	2
High-throughput measurements of interdiffusivities in fcc Co–Ni–Ta alloys at 1373K and 1473K	2
The specific heat of Al-based compounds, evaluation of the Neumann-Kopp rule and proposal for a modified Neumann-Kopp rule	2
Rapid screening of high-throughput ground state predictions	2
Thermodynamic assessment of the Ga–Lu system by the combination of ab-initio calculations and the CALPHAD approach	2
Thermodynamic modeling of KCl-PrCl3 and KCl-LiCl-PrCl3 systems	2
Phase relationship in the system MgO-V2O3 between 1661 and 1873 K at PO2=(3.55±0.2)×10-6 and (3.55±0.3)×10-5 Pa	2
Thermodynamic modeling of the Ni–Ti–Hf system	2
Diffusivity and atomic mobility for Fcc Ni–Ti–V alloys: Experiment and modeling	2
Measurement of the phase equilibria in the Al–Zr–Y system at 673 and 823 K	2
Reassessment of low-temperature Gibbs energies of BCC and FCC in steel for T0-temperature evaluation	2
Analysis of transformation stasis by the Gibbs energy balance (GEB) approach modified to consider carbon redistribution into remaining austenite	2
Effect of TiO2 on viscosity and structure for CaO-SiO2-Al2O3-based mold flux	2
Study on diffusion and Kirkendall effect in diffusion triples for fcc Ni–Al–Ta alloys	2