Review: Determining effective magnetic anisotropy in magnetic nanoparticles systems using DC-magnetometry methods
Abstract The effective magnetic anisotropy constant $$K_{\textrm{eff}}$$ K eff controls the thermal stability, relaxation dynamics, and performance of magnetic nanoparticles in applications such as magnetic hyperthermia, sensing, and data storage. However, reliably determining $$K_{\textrm{eff}}$$ K eff remains difficult because interparticle interactions, surface and interface effects, and structural heterogeneities strongly affect the magnetic response of MNP ensembles. This review critically examines four DC-magnetometry-based approaches to determine $$K_{\textrm{eff}}$$ K eff : Néel relaxation analysis, coercive field thermal decay, remanent magnetization decay, and a modified high-field Actis–Zélis asymptotic expansion. Using representative magnetite and cobalt-doped ferrite nanoparticles, we systematically compare the assumptions, limitations, and applicability of each method. We show that conventional low-field methods intrinsically mix single-particle anisotropy with collective effects, causing systematic errors in $$K_{\textrm{eff}}$$ K eff . In contrast, the Actis–Zélis high-field approach exploits large Zeeman energies to largely suppress interparticle coupling, enabling a more accurate determination of the intrinsic anisotropy barrier. By defining clear applicability criteria for each method, this work provides a consistent framework for extracting reliable anisotropy values and practical guidelines for interpreting magnetometry data in complex nanoparticle systems.
Authors
- Diego Muraca (ORCID: https://orcid.org/0000-0002-4530-4265)
- J. Rodrigues de Menezes
- G. Soares da Silva
- A. A. de Almeida
- P. Tancredi
- L. Grava Gomes
- F. Fabris
- M. Barbosa
Publication Details
- Journal
- Journal of Materials Science
- Published
- 2026-09-01
- DOI
- https://doi.org/10.1007/s10853-026-13671-2
- Primary Topic
- Magnetic Properties and Synthesis of Ferrites
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Universidade Estadual de Campinas