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Determine the edge length of a face-centered cubic (fcc) unit cell given that the atomic radius is R.

1. 508 pm
2. 154 pm
3. 100 pm
4. 200 pm

Correct answer: 508 pm

Solution

In an fcc lattice, the relation between the edge length (a) and the atomic radius (R) is a = 2√2R. Substituting R = 180 pm, we get a = 2√2 × 180 = 508 pm.

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