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Introduction to Nanotechnology

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174 NANOSTRUCTURED FERROMAGNETISM<br />

d, NANOMETERS<br />

Figure 7.7. Dependence of the saturation magnetization Ms of zinc ferrite on the granular<br />

particle size dnormalized <strong>to</strong> the value Ms(90) for a 90-nm grain. [Adapted from C. N. Chinnasamy,<br />

J. Phys. Condens. Matter 12, 7795 (2000).]<br />

for 30 min, forming a carbonized hard crust containing 3-nm particles of FePt. This<br />

size of magnetic nanoparticle would result in a s<strong>to</strong>rage density of 150 gigabytes per<br />

square inch, which is about 10 times higher than commercially available magnetic<br />

s<strong>to</strong>rage units.<br />

When length scales of magnetic nanoparticles become this small, the magnetic<br />

vec<strong>to</strong>rs become aligned in the ordered pattern of a single domain in the presence of a<br />

DC magnetic field, eliminating the complication of domain walls and regions having<br />

the magnetization in different directions. The S<strong>to</strong>ne-Wohlfarth (SW) model has been<br />

used <strong>to</strong> account for the dynamical behavior of small nanosized elongated magnetic<br />

grains. Elongated grains are generally the type used in magnetic s<strong>to</strong>rage devices. The<br />

SW model postulates that in the absence of a DC magnetic field ellipsoidal magnetic<br />

particles can have only two stable orientations for their magnetization, either up or<br />

down with respect <strong>to</strong> the long axis of the magnetic particles, as illustrated in Fig. 7.8.<br />

The energy versus orientation of the vec<strong>to</strong>rs is a symmetric double-well potential<br />

with a bamer between the two orientations. The particle may flip its orientation by

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