The impact of non-equilibrium vacancies on mobilities and Kirkendall porosity formation in diffusion couples: Experiments and theory for the Cu–Fe–Ni system as a case study
Source abstract
Abstract
Recently elaborated tracer-interdiffusion couple approach is used to quantify the differences of atomic mobilities measured in homogeneous alloys with purely entropic driving forces and those determined from diffusion couples under chemical gradients. First, the self-diffusion rates of Fe, Ni and Cu are measured in selected homogeneous alloys of the ternary Cu–Fe–Ni system at 1273 K using the radiotracer method. Following, a novel augmented tracer-interdiffusion couple approach is used with the Cu 50 Ni 50 and Fe 50 Ni 50 binary alloys as end-members and depositing the 55 Fe and 63 Ni radioisotopes at the initial contact plane and at the both external surfaces. The non-equilibrium vacancies are found to enhance the atomic mobilities at 1273 K in the Cu–Fe–Ni system by about 20%. The results confirm a high level of reliability and the reproducibility of the approach for producing highly accurate diffusion data for generating mobility databases. Together with a CALPHAD-like theoretical analysis and thermodynamic factors, these results present a complete data set for the quantitative verification of the theoretical description of diffusion in ternary alloys. The impact of vacancy production on the developed chemical profiles and the Kirkendall effect are analyzed. An agreement between the experimental findings and the theoretical predictions is shown.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: High Temperature Alloys and Creep · Metallic Glasses and Amorphous Alloys · Intermetallics and Advanced Alloy Properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (100+)
Show source-provided references
1. Mehrer · 2007
2. The measurement of tracer diffusion coefficients in solids
3. Techniques of tracer diffusion measurements in metals10.4028/www.scientific.net/DF.29.31 ↗
4. Tracer diffusion in ordered pseudo-binary multicomponent aluminides10.1016/j.scriptamat.2019.11.044 ↗
5. Paul · 2014
6. Estimation of diffusion coefficients in binary and pseudo-binary bulk diffusion couples
7. High-throughput diffusion multiples10.1016/S1369-7021(05)71122-6 ↗
8. Phase diagram determination using diffusion multiples
9. Interdiffusion in Cr–Fe–Co–Ni medium-entropy alloys10.1016/j.intermet.2020.106789 ↗
10. The measurement of diffusion coefficient in a ternary system10.1016/0036-9748(74)90311-1 ↗
11. Zur integration der diffusionsgleichung bei variabeln diffusionscoefficienten10.1002/andp.18942891315 ↗
12. On the relation between the diffusion-coefficients and concentrations of solid metals (the nickel-copper system)
13. Diffusion in multicomponent metallic systems: VII. Solutions of the multicomponent diffusion equations with variable coefficients10.1139/p63-212 ↗
14. Kirkaldy · 1987
15. Diffusion, mobility and their interrelation through free energy in binary metallic systems
16. Diffusion and the kirkendall shift in binary alloys10.1016/0001-6160(67)90363-X ↗
17. Cross terms in the thermodynamic diffusion equations for multicomponent alloys10.1007/BF02811561 ↗
18. Diffusion in multicomponent metallic systems: VIII. A kinetic calculation of the Onsager L coefficients in substitutional solid solutions10.1139/p64-149 ↗
19. Estimation of diffusion coefficients by intersecting different types of diffusion paths in a multi-principal element alloy10.1016/j.actamat.2022.118547 ↗
20. A pseudobinary approach to study interdiffusion and the kirkendall effect in multicomponent systems10.1080/14786435.2013.769692 ↗
21. Pseudo-binary and pseudo-ternary diffusion couple methods for estimation of the diffusion coefficients in multicomponent systems and high entropy alloys10.1080/14786435.2019.1619027 ↗
22. Solving the issues of multicomponent diffusion in an equiatomic NiCoFeCr medium entropy alloy10.1016/j.actamat.2020.03.041 ↗
23. A novel concept of pseudo ternary diffusion couple for the estimation of diffusion coefficients in multicomponent systems10.1016/j.scriptamat.2018.01.002 ↗
24. Body-diagonal diffusion couples for high entropy alloys10.1007/s11669-017-0606-z ↗
25. Estimation of tracer and intrinsic diffusion coefficients from body diagonal diffusion couples in a multi-principal element alloy10.1007/s11669-022-00990-5 ↗
26. First report on entire sets of experimentally determined interdiffusion coefficients in quaternary and quinary high-entropy alloys10.1557/jmr.2019.378 ↗
27. Concepts for estimating all types of diffusion coefficients of NiCoFeCr multi-principal element alloys using two dissimilar or a combination of ideal and non-ideal pseudo-ternary diffusion couples10.1016/j.scriptamat.2023.115719 ↗
28. Estimation of diffusion coefficients in NiCoFeCrAl multi-principal element alloy following an inventive design strategy of diffusion couples10.1016/j.actamat.2023.119296 ↗
29. A numerical inverse method for calculating the interdiffusion coefficients along a diffusion path in ternary systems10.1016/S1359-6454(02)00358-0 ↗
30. A pragmatic method to determine the composition-dependent interdiffusivities in ternary systems by using a single diffusion couple10.1016/j.scriptamat.2014.07.016 ↗
31. High-throughput determination of high-quality interdiffusion coefficients in metallic solids: A review10.1007/s10853-020-04805-1 ↗
32. A physics-informed neural network-based numerical inverse method for optimization of diffusion coefficients in NiCoFeCr multi principal element alloy10.1016/j.scriptamat.2022.114639 ↗
33. Utilising physics-informed neural networks for optimisation of diffusion coefficients in pseudo-binary diffusion couples10.1080/14786435.2023.2237900 ↗
34. Manning · 1958
35. Tracer diffusion in a chemical concentration gradient in silver-cadmium10.1103/PhysRev.116.69 ↗
36. Activity coefficient and vacancy-flow effects on diffusion in silver-gold alloys10.1103/PhysRev.149.556 ↗
37. Activity coefficient and vacancy flux effects on tracer diffusion in silver–gold alloys10.1002/pssa.2210050210 ↗
38. Simultaneous tracer diffusion and interdiffusion in a sandwich-type configuration to provide the composition dependence of the tracer diffusion coefficients10.1080/14786435.2014.965234 ↗
39. Measurement of tracer diffusion coefficients in an interdiffusion context for multicomponent alloys10.1080/09500839.2015.1082660 ↗
40. Composition-dependent tracer diffusion coefficients in the B2 Ni–Al–Ti alloy via a combination of radiotracer and diffusion couple techniques10.1016/j.jallcom.2017.05.140 ↗
41. Simultaneous measurement of isotope-free tracer diffusion coefficients and interdiffusion coefficients in the Cu-Ni system10.1007/s11669-018-0682-8 ↗
42. Combined interdiffusion and self-diffusion analysis in Al-Cu liquid diffusion couple10.1016/j.scriptamat.2017.09.003 ↗
43. Multicomponent diffusion in ionic crystals: Theoretical model and application to combined tracer- and interdiffusion in alkali feldspar10.1007/s00269-020-01103-9 ↗
44. Composition dependence of tracer diffusion coefficients in Fe–Ga alloys: A case study by a tracer-diffusion couple method10.1016/j.actamat.2020.10.065 ↗
45. Concentration-dependent atomic mobilities in FCC CoCrFeMnNi high-entropy alloys10.1016/j.actamat.2018.12.033 ↗
46. Tracer diffusion under a concentration gradient: A pathway for a consistent development of mobility databases in multicomponent alloys10.1016/j.jallcom.2022.167301 ↗
47. Philibert · 1991
48. Diffusion of zinc in alpha brass
49. Zinc diffusion in alpha brass
50. Effects associated with the flow of vacancies in intermetallic diffusion10.1088/0370-1301/65/7/306 ↗
51. On the porosity observed in the kirkendall effect10.1016/0001-6160(53)90112-6 ↗
52. The supersaturation and precipitation of vacancies during diffusion10.1016/0001-6160(54)90159-5 ↗
53. Mechanism of pore formation associated with the kirkendall effect10.1016/0001-6160(55)90082-1 ↗
54. Bifurcation of the kirkendall marker plane and the role of Ni and other impurities on the growth of kirkendall voids in the Cu–Sn system10.1016/j.actamat.2017.03.068 ↗
55. Competition between kirkendall shift and backstress in interdiffusion revisited – simple analytic model10.1080/14786435.2013.878053 ↗
56. Kinetic theory of mutual diffusion in a binary system. Concentration of vacancies during mutual diffusion
57. Kinetic theory of mutual diffusion in a binary system. Influence of concentration dependence of self-diffusion coefficients on interdiffusion process
58. Nazarov · 2019
59. Manning · 1968
60. Chemical interdiffusion in binary ionic solid solutions and metal alloys with changes in volume10.1088/0022-3719/7/21/012 ↗
61. Diffusion in multi-component systems with no or dense sources and sinks for vacancies10.1016/S1359-6454(01)00443-8 ↗
62. Diffusion and creep in multi-component alloys with non-ideal sources and sinks for vacancies10.1016/j.actamat.2006.02.041 ↗
63. Model for non-equilibrium vacancy diffusion applied to study the kirkendall effect in high-entropy alloys10.1016/j.actamat.2022.117966 ↗
64. The sublattice model10.1557/PROC-19-115 ↗
65. Thermodynamic and kinetic study of diffusion paths in the system Cu-Fe-Ni10.1007/BF02651877 ↗
66. Investigation of interdiffusion and kirkendall effect in the Co–Ni–Fe system. I. Redistribution of component concentrations in the diffusion zone and shift of inert markers
67. Investigation of interdiffusion and kirkendall effect in the Co–Ni–Fe system. II. Effective and partial coefficients of interdiffusion
68. Investigation of interdiffusion and kirkendall effect in the Co–Ni–Fe system: III. Dependence of diffusion parameters on the initial conditions10.1134/S0031918X10110086 ↗
69. Theoretical analysis of experimental tracer and interdiffusion data in Cu–Ni–Fe alloys10.1016/j.actamat.2005.06.015 ↗
70. The stress field in Cu-Fe-Ni diffusion couples10.4028/www.scientific.net/DDF.264.47 ↗
71. Self-and interdiffusion in ternary Cu-Fe-Ni alloys10.4028/www.scientific.net/DDF.237-240.50 ↗
72. Concentration dependence of interdiffusion coefficients in Cu-Fe-Ni system10.1134/S0031918X13010122 ↗
73. Correlation factors for diffusion in nondilute alloys10.1103/PhysRevB.4.1111 ↗
74. Saunders · 1998
75. The analysis of grain boundary diffusion measurements10.1088/0508-3443/14/6/317 ↗
76. Lattice diffusion and grain boundary diffusion of cobalt in γ-iron10.2320/matertrans1960.2.176 ↗
77. Influence of dislocations on diffusion kinetics in solids with particular reference to the alkali halides10.1039/tf9615701191 ↗
78. Kaur · 1995
79. Reciprocal relations in irreversible processes. I.10.1103/PhysRev.37.405 ↗
80. Reciprocal relations in irreversible processes. II.10.1103/PhysRev.38.2265 ↗
81. Vacancy wind effect on interdiffusion in a dilute Cu(sn) solid solution10.1080/09500839.2012.682169 ↗
82. High-throughput study of atomic mobility in face-centered cubic Ni–Cu–Fe alloys through coupling two-dimensional diffusion simulations and diffusion triple experiments10.1016/j.jallcom.2023.168956 ↗
83. Expressions for vacancy-wind factors occurring in interdiffusion in ternary and higher-order alloys10.1016/j.actamat.2006.08.055 ↗
84. An analytical method of calculating variable diffusion coefficients10.1063/1.1698631 ↗
85. Interdiffusion in refractory metal system with a BCC lattice: Ti/TiZrHfNbTaMo10.3390/e25030490 ↗
86. An experimental estimation method of diffusion coefficients in ternary and multicomponent systems from a single diffusion couple profile10.1016/j.actamat.2024.120000 ↗
87. Diffusion in binären Gemischen mit Volumenänderung
88. Models for numerical treatment of multicomponent diffusion in simple phases10.1063/1.351745 ↗
89. Lukas · 2007
90. A new technique for evaluating diffusion mobility parameters10.1007/s11669-005-0031-6 ↗
91. Assessment of the diffusion mobilites in the γ′ and B2 phases in the Ni–Al–Cr system10.1016/j.actamat.2008.04.061 ↗
92. Analysis of the kirkendall effect, marker migration and pore formation10.1016/S1359-6454(01)00054-4 ↗
93. Prediction of kirkendall shift and porosity in binary and ternary diffusion couples10.1016/j.actamat.2004.06.039 ↗
94. Thermodynamic and diffusion kinetic studies of the Fe-Co system10.1016/j.calphad.2017.06.001 ↗
95. Thermodynamics of alloys and phase equilibria in the copper-iron system10.1361/105497103770330280 ↗
96. Phase equilibria and thermodynamics of binary copper systems with 3d-metals. VI. Copper-nickel system10.1007/s11106-007-0073-x ↗
97. Mixing enthalpies of liquid alloys and thermodynamic assessment of the Cu–Fe–Ni system10.1007/s11106-010-9186-8 ↗
98. Dissolution and interfacial reactions of thin-film Ti/Ni/Ag metallizations in solder joints10.1016/S1359-6454(01)00187-2 ↗
99. Mobilities and diffusivities in fcc Fe-X (X = Ag , Au, Cu, Pd and Pt) alloys10.1016/j.calphad.2010.04.002 ↗
100. Assessment of diffusion mobilities in FCC Cu–Ni alloys10.1016/j.calphad.2007.08.001 ↗