Question

A closed packed structure of uniform spheres has the edge length of $534$ pm. Calculate the radius of sphere in pm if it exists in simple cubic lattice.

Answer 1

In a simple cubic lattice, we have atoms only at the corners of the lattice.

If we compare the edge length (a) to the radius (r), we get a ratio of $2:1$.

The two atoms join each other along the edge of a lattice.

So, the answer is $\frac{a}{2}=r$

Hence, the radius of sphere is $267$ pm.