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Diffusion-defining atomic-scale spinodal decomposition within nanoprecipitates


Stoichiometric precipitates owe their fixed composition to an ordered crystal structure. Deviations from that nominal value, however, are encountered at times. Here we investigate composition, structure and diffusion phenomena of ordered precipitates that form during heat treatment in an industrially cast Al–Mg–Sc–Zr alloy system. Experimental investigations based on aberration-corrected scanning transmission electron microscopy and analytical tomography reveal the temporal evolution of precipitate ordering and formation of non-equilibrium structures with unprecedented spatial resolution, supported by thermodynamic calculations and diffusion simulations. This detailed view reveals atomic-scale spinodal decomposition to majorly define the ongoing diffusion process. It is illustrated that even small deviations in composition and ordering can have a considerable impact on a system’s evolution, due to the interplay of Gibbs energies, atomic jump activation energies and phase ordering, which may play an important role for multicomponent alloys.

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Fig. 1: Structure and composition of short-aged and long-aged precipitates.
Fig. 2: Analysis of radial compositional variation of a precipitate in a long-aged EBRS-treated sample.
Fig. 3: Comparison of HAADF images and simulations of L12 precipitates with different numbers of Al atoms on Sc sites.
Fig. 4: Gibbs free energy calculations.
Fig. 5: Results of 3D atomistic diffusion simulation showing the evolution of diffusion channels.

Data availability

The data sets generated and/or analysed during the current study as well as any custom code used during this study are available from the authors on reasonable request.


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The authors thank the Austrian Cooperative Research Facility, the Austrian Ministry for Transport, Innovation and Technology (project GZ BMVIT- 612.011/0001-III/I1/2015) and the Austrian Research Promotion Agency FFG (TAKE OFF project 839002) for funding. We would like to express our gratitude to F. Hofer for supporting the project and to W. Sprengel for advice concerning the manuscript. Furthermore, we would like to thank L. Allen and his group for support with µSTEM and M. Weyland, J. Etheridge and S. Findlay for support concerning quantitative STEM.

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Authors and Affiliations



A.O. performed all STEM investigations including sample preparation for tomography and STEM HAADF simulations, interpreted the results and wrote the bigger part of the manuscript. G.H. provided the software for tomographic alignment and reconstruction and supported its application. J.T. and M.C.P. provided the samples and information and performed the re-solidification and ageing process. B.S. coded the Gibbs energy calculation and the 3D atomistic diffusion simulation and wrote the parts of the manuscript treating them. G.K. supervised the project and the writing of the manuscript.

Corresponding authors

Correspondence to Angelina Orthacker or Gerald Kothleitner.

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The authors declare no competing interests.

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Supplementary Figures: Supplementary Figures 1–5 Supplementary Reference 1

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Orthacker, A., Haberfehlner, G., Taendl, J. et al. Diffusion-defining atomic-scale spinodal decomposition within nanoprecipitates. Nature Mater 17, 1101–1107 (2018).

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