Chemistry - Solid State Question with Solution | TestHub

For an fcc unit cell, the relationship between edge length $a$ and atomic radius $r$ is given by:

$a=2\sqrt{2}r$

Substituting $r=144\text{ pm}$:

$a=2\times 1.414\times 144\text{ pm}$

$a=407.232\text{ pm}$

Converting to cm:

$a=407.232\times 10^{-12}\text{ m}=407.232\times 10^{-10}\text{ cm}$

$a=4.07\times 10^{-8}\text{ cm}$

Answer: $4.07\times 10^{-8}\mathrm{cm}$