Question
The saturation magnetization of is
. If the lattice constant for
is
, calculate the net magnetic moment per
atom in the crystal in units of Bohr magnetons.
Answer :
Word Count : 233
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The saturation magnetization (M_s) is related to the magnetic moment per atom (\mu) by the relation: [ M_s = \frac{\text{total magnetic moment in a unit cell}}{\text{volume of unit cell}}. ] For an FCC lattice, there are 4 atoms per unit cell. The volume of the unit cell is: [ V = a^3 = (3.52 \times 10^{-10} \text{ m})^3. ] First, calculate (a^3) step by step: [ 3.52^3 = 3.52 \times 3.52 \times 3.52. ] [ 3.52 \times 3.52 = 12.3904 ] [ 12.3904 \times 3.52 \approx 43.61 ] So, [ V
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