Question

The edge length of face centred unit cubic cell is 508 pm. The radius (in pm) of the atom will be :

• A. $179.6$
• B. $288$
• C. $618$
• D. $398$

Answer 1

Answer: (A)

$179.6$

The edge length of face-centered unit cubic cell is $508$ pm.

The radius of the atom will be $179.6$ pm.

For fcc lattice, $r=\frac{a}{2\sqrt{2}}$ $=\frac{508}{2\sqrt{2}}=\frac{254}{\sqrt{2}}=179.6$ pm