What is the chemical formula of garnet ferrites?

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Garnet ferrites, which possess the crystal structure of the silicate mineral garnet, have the general chemical formula:

$M_{3} F e_{5} O_{12}$

In this formula, $M$ represents yttrium or a rare-earth ion. A prominent example of this class is yttrium iron garnet (YIG), which is expressed as $Y_{3} F e_{5} O_{12}$ .12