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Question:

Aluminium crystallizes in an FCC structure. Atomic radius of the metal is 125 pm. What is the length of the side of the unit cell of the metal?

Solution:

For cubic close packed structure, let a be the edge of the cube and r be the radius of the atom. Given that r = 125 pm.
a = 2√2r
Putting the value of r we get,
2 × 1.414 × 125 pm = 353.5 pm (approximately)