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  4. A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is

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Q. A metal crystallizes with a face-centered cubic lattice. The edge of the unit cell is $408\, pm$. The diameter of the metal atom is

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Solution:

For $FCC r =\frac{ a }{2 \sqrt{2}}$

So diameter $=\frac{a}{\sqrt{2}}=\frac{408}{1.414}=288.5\, pm$