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ALBERTO BOLLERO REAL

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3.1 Models<br />

magnetic moments deviating from the easy axis is necessary to have a high degree of<br />

remanence enhancement. This situation is schematically illustrated in Fig. 3.2 where the<br />

remanent state of an ideal nanostructure with grain sizes of 20 nm can be observed. The<br />

shaded areas represent the regions where the magnetic moments deviate from the local<br />

easy axis by more than 20 o (darkest regions) and 10 o , respectively. Smaller grains will<br />

result in a more effective exchange-coupling, i.e. enlarged remanence by comparison with<br />

that of non-interacting particles.<br />

A mean grain size < 20 nm and a homogeneous microstructure, with a very small<br />

range in grain size, were established as requirements to obtain an enhanced remanence<br />

preserving a high coercivity in NdFeB based magnets [33,42].<br />

3.1.2 Two-phase nanocomposite magnets<br />

In 1988, Coehoorn et al [43] reported for the first time that two-phase nanocomposite<br />

magnets, containing 85% soft magnetic phases (73% Fe 3 B and 12% bcc-Fe) and 15% hard<br />

phase (Nd 2 Fe 14 B), could be prepared by crystallisation of amorphous melt-spun alloys with<br />

approximate compositions of Nd 4 Fe 78 B 18 having remarkable permanent magnet properties<br />

(µ 0 H c ≈ 0.4 T, (BH) max = 95 kJm -3 ). Eckert et al [44] showed that it is the interaction<br />

between the soft and the hard magnetic phases which results in the specific hysteresis loop<br />

and the very steep recoil loops [45]. These permanent magnets consist of two different<br />

ferromagnetic and mutually exchange-coupled phases, one of which is hard magnetic to<br />

provide a high coercive field, while the other is soft magnetic providing a high saturation<br />

polarisation.<br />

One of the main results derived from the models is that a small enough grain size<br />

improves both remanence and coercivity of isotropic two-phase magnets. Too large grains<br />

will result in a non-effective exchange-coupling of the soft magnetic phase due to a short<br />

range of the exchange interactions unable of aligning completely the magnetic moments of<br />

the grains of the soft phase. However, too small grains could result in a drop in coercivity<br />

due to exchange interactions between hard magnetic grains. Thus, the aim is to develop a<br />

nanostructure consisting of small enough grains to increase the remanence while<br />

preserving a high coercive field, which will result in remarkable high-energy products.<br />

Numerical calculations show an effective exchange hardening of the soft magnetic phase<br />

when the corresponding grains are about twice the domain wall width of the hard phase.<br />

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