The quantitative measurement of magnetization in magnetic nanostructures plays a crucial role in advancing both fundamental understanding and applied research. Off-axis electron holography in a transmission electron microscope enables the retrieval of magnetic phase shifts induced by magnetic induction fields, thereby allowing precise quantification of magnetization. Using magnetite ( Fe 3 O 4 ) nanoparticles as a model system, we use off-axis electron holography to demonstrate three complementary methods for quantifying the magnetic properties of nanoparticles. These methods are the simple geometric approximation, the magnetic phase gradient integration, and the model-based iterative reconstruction, each providing unique capability, ranging from the rapid estimation of in-plane magnetic induction to highly detailed spatially resolved magnetization maps. We analyze the strengths, the limitations, and the applicability of each approach, emphasizing the potential of integrating these methods for a comprehensive analysis of the magnetization of nanomaterials.
Quantification of magnetization of nanostructures via three complementary methods / Ye, X., Su, H., Su, J., Kovacs, A., Beleggia, M., Dunin-Borkowski, R.E., Li, Z.-A.. - In: APPLIED PHYSICS LETTERS. - ISSN 0003-6951. - 126:24(2025), pp. 242403-1-242403-5. [10.1063/5.0266886]
Quantification of magnetization of nanostructures via three complementary methods
Beleggia M.;
2025
Abstract
The quantitative measurement of magnetization in magnetic nanostructures plays a crucial role in advancing both fundamental understanding and applied research. Off-axis electron holography in a transmission electron microscope enables the retrieval of magnetic phase shifts induced by magnetic induction fields, thereby allowing precise quantification of magnetization. Using magnetite ( Fe 3 O 4 ) nanoparticles as a model system, we use off-axis electron holography to demonstrate three complementary methods for quantifying the magnetic properties of nanoparticles. These methods are the simple geometric approximation, the magnetic phase gradient integration, and the model-based iterative reconstruction, each providing unique capability, ranging from the rapid estimation of in-plane magnetic induction to highly detailed spatially resolved magnetization maps. We analyze the strengths, the limitations, and the applicability of each approach, emphasizing the potential of integrating these methods for a comprehensive analysis of the magnetization of nanomaterials.
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