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Relation Between r and a

The crystal l...

Question

The crystal lattice of an element has fcc structure. If the radius of an atom of the element is 127.6 pm, calculate the edge length of the unit cell of the crystal.

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Solution

r = radius of atom
a = edge of unit cell
$4 r, \sqrt{2} a$
$a, 2 \sqrt{2} r$
$a, 2 \sqrt{2} \times 127.6$
$= 360.8$ pm

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