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Question

Aluminum crystallizes in an FCC structure. The atomic radius of the metal is 125pm. What is the length of the side of the unit cell of the metal?


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Solution

For a cubic close-packed structure, let a be the edge and r is the radius of the atom.

Given that r=125pm

Length of the side of the unit cell in FCC structure, a=(42)r=22r

a=2×2×125a=2×1.414×125a=353.5pm

Hence, the length of the side of the unit cell of the metal is 353.5pm


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