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Determine the total count of atoms present in a unit cell of a face-centered cubic (fcc) structure using the formula n = (nc/8) + (nf/2) + (nb/1) + (ne/4).

1. 2 atoms
2. 4 atoms
3. 6 atoms
4. 8 atoms

Correct answer: 4 atoms

Solution

In an fcc crystal, there are 8 corner atoms (nc), each contributing 1/8, and 6 face-centered atoms (nf), each contributing 1/2. Using the formula, n = (8/8) + (6/2) = 1 + 3 = 4 atoms per unit cell.

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