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Fe3O4 nanoparticles are one of the most promising candidates for biomedicalapplications such as magnetic hyperthermia and theranostics due to theirbio-compatibility, structural stability and good magnetic properties. However,much is unknown about the nanoscale origins of the observed magnetic propertiesof particles due to the dominance of surface and finite size effects. Here wehave developed an atomistic spin model of elongated magnetite nanocrystals tospecifically address the role of faceting and elongation on the magnetic shapeanisotropy. We find that for faceted particles simple analytical formulaeoverestimate the magnetic shape anisotropy and that the underlying cubicanisotropy makes a significant contribution to the energy barrier formoderately elongated particles. Our results enable a better estimation of theeffective magnetic anisotropy of highly crystalline magnetite nanoparticles andis a step towards quantitative prediction of the heating effects of magneticnanoparticles.

The role of faceting and elongation on the magnetic anisotropy of magnetite Fe3O4 nanocrystals