Question
A divalent metal crystallizes in an fcc structure with a lattice constant of 4.5 A. Calculate the number density of conduction electrons and the Fermi velocity.
Answer :
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For a divalent metal in an fcc structure, each atom contributes 2 conduction electrons. Step 1: Number of atoms per unit cell In an fcc lattice, there are 4 atoms per unit cell. Step 2: Number of conduction electrons per unit cell Since each atom contributes 2 conduction electrons: [ N_e = 4 \times 2 = 8 \text{ electrons/unit cell} ] Step 3: Volume of the unit cell [ a = 4.5 , \text{Å} =
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