T. Schrefl et al., REMANENCE AND COERCIVITY IN ISOTROPIC NANOCRYSTALLINE PERMANENT-MAGNETS, Physical review. B, Condensed matter, 49(9), 1994, pp. 6100-6110
Numerical micromagnetic calculations rigorously describe the correlati
on between the microstructure and the magnetic properties of nanocryst
alline permanent magnets. In isotropic nanocrystalline permanent magne
ts exchange interactions override the anisotropy of the individual gra
ins. Therefore the spontaneous magnetic polarization deviates from the
easy axes in a region along the grain boundaries. For a fine grain st
ructure with a mean grain size d < 20 nm the remanence is considerably
enhanced, since the volume fraction of the boundary regions where the
spontaneous magnetic polarization points towards the direction of the
applied field becomes significantly high. The inhomogeneous ground st
ate, however, favors the nucleation of reversed domains leading to a r
eduction of the coercive field with decreasing grain size. A uniform g
rain structure with a very small range in grain size avoids large dema
gnetizing fields and thus preserves a high coercivity. For a grain siz
e of 10 nm isotropic two-phase permanent magnets based on Fe14Nd2B and
alpha-Fe show remarkable high-energy products, because the volume fra
ction of the magnetically soft phase can be increased up to 50% withou
t a significant loss of coercivity.