A metal (M), crystallizes in $\text{fcc}$ lattice with edge length of $4.242 \text{ \AA}$. What is the radius of $\text{M}$ atom (in $\text{\AA}$)?
Show Hint
Remember the geometric relations for cubic unit cells:
- $\text{fcc}$: Atoms touch along the face diagonal: $4r = a\sqrt{2}$.
- $\text{bcc}$: Atoms touch along the body diagonal: $4r = a\sqrt{3}$.
- $\text{sc}$: Atoms touch along the edge: $2r = a$.