The formula for yttrium iron garnet (Y3Fe5O12) may be written

The formula for yttrium iron garnet (Y3Fe5O12) may be written

The formula for yttrium iron garnet (Y3Fe5O12) may be written in the form

where the superscripts a, c, and d represent different sites on which the Y3+ and Fe3+ ions are located. The spin magnetic moments for the Y3+ and Fe3+ ions positioned in the a and c sites are oriented parallel to one another and antiparallel to the Fe3+ ions in d sites. Compute the number of Bohr magnetons associated with each Y3+ ion, given the following information: (1) each unit cell consists of eight formula (Y3Fe5O12) units; (2) the unit cell is cubic with an edge length of 1.2376 nm; (3) the saturation magnetization for this material is 1.0 A? 104 A/m; and (4) assume that there are 5 Bohr magnetons associated with each Fe3+ ion.

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