The magnetic moment of a gadolinium atom is `7.95 muB` (Ho is the Bohr magneton). Gadolinium crystallizes in a face-centered cubic lattice with lattice constant of 3.2 Å. Find the saturation magnetization. Take into account that an elementary cell of a face-centered lattice contains four atoms.

Answer

`9.0 xx 10^(-9)A//m`.

Explanation

The saturation magnetizntion is `M_(svt)=n_(0)p_(m)," where n"_(v)=4//a^3` is the concentration of the atoms, `p_(m)=7.95mu_(B)` is the magnetic moment of a single atom. Hence `M_("svt") 4 xx 7.95 mu_(B)//2^3`.