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Relation Between r and a

The unit cell...

Question

The unit cell of nickel is a face-centered cube. The length of its side is $0.352 n m$ . Calculate the atomic radius of nickel.

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Solution

In FCC,

$4 r = a \sqrt{2}$ (along the face diagonal)
$r = \frac{a}{2 \sqrt{2}} = \frac{3.52}{2 \sqrt{2}} = 1.245 ˚ A$

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