journal article·2025-09Open access

Stability of metastable phases: pathway-dependent transformation kinetics of the γ phase in eutectic AuGe

Jürgen E.K. Schawe, Štefan T. Stanko, Marc-Georg Willinger, Jörg F. Löffler

Materials & Design· Volume 257

Abstract

• The transformation of a metastable phase is studied on the eutectic Au–Ge alloy. • The transformation kinetics are determined by Fast Differential Scanning Calorimetry. • The activation energy is lower for heating than for isothermal measurements. • The microstructural origin is investigated using Transmission Electron Microscopy. • Diffusion of Ge along grain boundaries causes different activation energies. The transformation kinetics of metastable phases into more stable phases with simultaneous variation of the phase composition is studied in metallic systems using the binary Au 72 Ge 28 eutectic alloy as model system. This alloy forms a metastable γ phase and a non-equilibrated α-Au and Ge composition after cooling the melt at a rate of 10,000 K/s. The kinetics of the γ-phase decomposition is analyzed using Fast Differential Scanning Calorimetry (FDSC) and Transmission Electron Microscopy (TEM). After correcting for the influence of thermal inertia, non-isothermal measurements of the transformation show an activation energy of 87 kJ/mol for the γ-phase decomposition, whereas isothermal studies reveal an activation energy of 121 kJ/mol. This difference indicates pathway-dependent transformation kinetics, resulting from a phase equilibration of the α-Au phase due to diffusion of Ge along grain boundaries. We propose that for the non-isothermal case Ge diffusion occurs before the γ-phase transition, whereas both processes take place simultaneously during the isothermal transformation. History-dependent equilibration of non-equilibrium phases thus significantly influences the pathways of metastable phase transitions. In fact, studying the pathway-dependent kinetics appears to be important in many solid-state transformations to gain a better understanding of the processes involved and create appropriate models.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Phase-change materials and chalcogenides · Chemical Thermodynamics and Molecular Structure · Solidification and crystal growth phenomena

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (36)

Show source-provided references
1. A review of eutectic Au-Ge solder joints10.1007/s11661-019-05356-0 ↗
2. Local order and dynamic properties in liquid Au-Ge eutectic alloys by initio molecular dynamics10.1103/PhysRevB.84.134201 ↗
3. Reversible phase changes in Ge–Au nanoparticles10.1063/1.3584850 ↗
4. Untersuchung zur Struktur metastabiler Phasen im System Gold-Germanium
5. The Au-Ge (gold-germanium) system10.1007/BF02868323 ↗
6. Composition requirements for glass formation in metallic and ionic systems10.1038/189131b0 ↗
7. Quantifying the origin of metallic glass formation10.1038/ncomms10313 ↗
8. Formation of new intermetallic phases in binary eutectic systems by drastic undercooling of the melt10.1038/2101040a0 ↗
9. Formation and stabilization of single-crystalline metastable AuGe phases in Ge nanowires10.1088/0957-4484/22/29/295605 ↗
10. Influence of cooling rate on the crystallization of a gold-germanium alloy
11. Axial Heterostructures with phase-controlled metastable segments via post-growth reactions of Ge nanowires10.1021/acs.chemmater.9b03000 ↗
12. In situ probing of structural transformations in nanostructured Au–Ge by correlative electron microscopy and calorimetry
13. Zur Energetik der Bildung metastabiler Phasen im System Gold-Germanium
14. X-ray diffraction and differential thermal analysis of splat-quenched gold-germanium alloy10.1016/0025-5416(75)90181-0 ↗
15. Phase decomposition in liquid-quenched eutectic Au-Ge alloy10.1007/BF00570534 ↗
16. Unterkühlungsverhalten und thermodynamische Eigenschaften flüssiger Gold-Germanium-Legierungen
17. Characterization of bulk metallic glasses via fast differential scanning calorimetry10.1016/j.tca.2014.06.007 ↗
18. Material characterization by fast scanning calorimetry: practice and applications
19. Existence of multiple critical cooling rates which generate different types of monolithic metallic glass10.1038/s41467-018-07930-3 ↗
20. Reaction kinetics in differential thermal analysis10.1021/ac60131a045 ↗
21. Temperature correction at high heating rates for conventional and fast differential scanning calorimetry10.1016/j.tca.2021.178879 ↗
22. Die Ermittlung des Schmelzpunktes von kristallinen Polymeren mittels Wärmeflusskalorimetrie (DSC)10.1016/0014-3057(74)90027-5 ↗
23. Evaluation of activation energy of thermally stimulated solid-state reactions under arbitrary variation of temperature10.1002/(SICI)1096-987X(199702)18:3<393::AID-JCC9>3.0.CO;2-P ↗
24. Linear and nonlinear procedures in isoconversional computations of the activation energy of nonisothermal reactions in solids10.1021/ci950062m ↗
25. Modification of the integral isoconversional method to account for variation in the activation energy10.1002/1096-987X(20010130)22:2<178::AID-JCC5>3.0.CO;2-# ↗
26. Phase transformations in a Cu-Zr-Al metallic glass10.1016/j.scriptamat.2020.03.028 ↗
27. Solid-solid phase transitions via melting in metals10.1038/ncomms11113 ↗
28. Solid-solid phase transition via the liquid in a Pd43Cu27Ni10P20 bulk metallic glass under conventional conditions10.1016/j.jallcom.2020.157802 ↗
29. Monotropic polymorphism in a glass-forming metallic alloy
30. ICTAC Kinetics Committee recommendations for performing kinetic computations on thermal analysis data10.1016/j.tca.2011.03.034 ↗
31. Isoconversional kinetic analysis of thermally stimulated processes in polymers10.1002/marc.200600404 ↗
32. Kinetics of thermal degradation of char-forming plastics from thermogravimetry. Application to a phenolic plastic
33. Estimating realistic confidence intervals for the activation energy determination from thermoanalytical measurements10.1021/ac000210u ↗
34. Porter · 2009 · 103
35. Auger studies on rapid grain boundary diffusion of Ge through Au10.1116/1.572739 ↗
36. Two step model for crosslinking polymerization with account of diffusion10.1016/j.cej.2023.148414 ↗