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Influence of Stress-Induced Anisotropy on the Local Atomic Structure of Fe$_3$Si Nanocrystals

2O-03
Jul 10, 2025, 5:00 PM
15m
ORAL Topic 2 - Amorphous, nanocrystalline and other soft magnetic materials Section S2

Speaker

Dr Jozef Bednarčík (Pavol Jozef Šafárik University in Košice, Faculty of Science, Institute of Physics)

Description

Many technological applications require low permeability of a few hundreds being constant over a wide magnetic field range. For example, this is a case of magnetic energy storage cores [1]. It is well known that magnetic anisotropy induced by stress applied during annealing can reach magnitudes up to several thousands of J/m$^3$ which is about two orders of magnitude larger than the magnetic anisotropy induced by annealing in a magnetic field [2]. Furthermore, stress induced anisotropy (SIA) represents an effective way to tailor magnetic characteristics of nanocrystalline Vitroperm-like alloy systems. It was shown that the SIA has its origin in magneto-elastic anisotropy of the Fe-Si crystallites associated with their elongation induced by stress annealing [3]. Our recent results obtained by mapping out the strain pole figures (SPF) corresponding to several Bragg reflections of Fe$_3$Si cubic phase show that SIA is actually uniaxial and its main axis is aligned along tensile direction. Furthermore, SPFs provided evidence that strain partitioning among different Bragg reflections is not even and the magnitude of the SIA for a given set of Bragg reflections is inversely proportional to its Young’s modulus $E_{hkl}$.

The main goal of this study was to analyze the impact of the SIA on a local atomic structure of Fe$_3$Si nanocrystals. High-Resolution Transmission Electron Microscopy (HR-TEM) combined with Pair Distribution Function (PDF) technique were employed to address such a delicate topic. PDF provided evidence that the bond length distributions corresponding to the nearest-neighbors environments of Fe$_{3}$Si cubic phase are reflecting direction of applied tensile stress. When observing PDF along tensile direction, shifts towards larger $r$-values are observed for all coordination shells up to $2$ nm. An opposite behavior is seen in transversal direction. HR-TEM analysis of several individual grains having different crystallographic orientations reveals different extent of change in interplanar spacings depending on Fe$_3$Si crystal orientation with respect to direction of applied stress.

Acknowledgements

This study was funded by the EU NextGenerationEU through the Recovery and Resilience Plan for Slovakia under the project No. 09I03-03-V03-00034.

References

[1] H. Fukunaga et al., “Nanostructured soft magnetic material with low loss and low permeability,” Journal of Applied Physics, vol. 87, no. 9. AIP Publishing, pp. 7103–7105, May 01, 2000. https://doi.org/10.1063/1.372944
[2] M. Ohnuma et al., “Origin of the magnetic anisotropy induced by stress annealing in Fe-based nanocrystalline alloy,” Applied Physics Letters, vol. 86, no. 15. AIP Publishing, Apr. 08, 2005. https://doi.org/10.1063/1.1901807
[3] D. Yudina et al., “Structural aspects of stress-induced magnetic anisotropy in Fe-based nanocrystalline alloy,” Journal of Alloys and Compounds, vol. 960. Elsevier BV, p. 171011, Oct. 2023. https://doi.org/10.1016/j.jallcom.2023.171011

Primary author

Dr Jozef Bednarčík (Pavol Jozef Šafárik University in Košice, Faculty of Science, Institute of Physics)

Co-authors

Dr Vladimír Girman (Pavol Jozef Šafárik University in Košice, Faculty of Science, Institute of Physics) Dr Maksym Lisnichuk (Pavol Jozef Šafárik University in Košice, Faculty of Science, Institute of Physics) Ms Ravneet Kaur (Pavol Jozef Šafárik University in Košice, Faculty of Science, Institute of Physics) Prof. Pavol Sovák (Pavol Jozef Šafárik University in Košice, Faculty of Science, Institute of Physics)

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