The formula for samarium iron garnet (Sm3Fe5O12) may be

Chapter 20, Problem 20.14

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The formula for samarium iron garnet (Sm3Fe5O12) may be written in the form Smc 3Fea 2Fed 3O12, where the superscripts a, c, and d represent different sites on which the Sm3+ and Fe3+ ions are located. The spin magnetic moments for the Sm3+ 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 Sm3+ ion, given the following information: (1)each unit cell consists of eight formula (Sm3Fe5O12)units; (2) the unit cell is cubic with an edge lengthof 1.2529 nm; (3) the saturation magnetization forthis material is 1.35 105 A/m; and (4) there are5 Bohr magnetons associated with each Fe3+ ion.

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