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Introduction to Nanotechnology

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170 NANOSTRUCTURED FERROMAGNETISM<br />

M<br />

t<br />

Figure 7.3. Plot of the magnetization M versus an applied magnetic field H for a hard<br />

ferromagnetic material, showing the hysteresis loop with the coercive field Hc, the remnant<br />

magnetization Mr, and the saturation magnetization Ms, as indicated.<br />

the use of magnet materials, and there is same ongoing research <strong>to</strong> design permanent<br />

magnets with different shapes of magnetization curves.<br />

7.2. EFFECT OF BULK NANOSTRUCTURING ON<br />

MAGNETIC PROPERTIES<br />

The diverse applications of magnets require the magnetization curve <strong>to</strong> have dif-<br />

ferent properties. Magnets used in transformers and rotating electrical machinery are<br />

subjected <strong>to</strong> rapidly alternating AC magnetic fields, so they repeat their mag-<br />

netization curve many times a second, causing a loss of efficiency and a rise in<br />

the temperature of the magnet. The rise in temperature is due <strong>to</strong> frictional heating<br />

from domains as they continuously vary their orientations. The amount of loss<br />

during each cycle, meaning the amount of heat energy generated during each cycle<br />

around a hysteresis loop, is proportional <strong>to</strong> the area enclosed by the loop. In these<br />

applications small or zero coercive fields are required <strong>to</strong> minimize the enclosed area.<br />

Such magnets are called “soft magnetic materials.” On the other hand, in the case of<br />

permanent magnets used as a part of high-field systems, large coercive fields are<br />

required, and the widest possible hysteresis loop is desirable. Such magnets are<br />

called “hard magnets.” High-saturation magnetizations are also needed in perma-<br />

nent magnets.<br />

Nanostructuring of bulk magnetic materials can be used <strong>to</strong> design the magnetiza-<br />

tion curve. Amorphous alloy ribbons having the composition Fe,3.5CulNb3Si,3.5B9<br />

prepared by a roller method and subjected <strong>to</strong> annealing at 673 <strong>to</strong> 923 K for one hour<br />

in inert-gas atmospheres, were composed of 10-nm iron grains in solid solutions.<br />

Such alloys had a saturation magnetization M, of 1.24 T, a remnant magnetization M,<br />

of 0.67 T, and a very small coercive field H, of 0.53 A/m. Nanoscale amorphous

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