(Solved): Magnesium has a hexagonal close packed (HCP) crystal structure with a c/a ratio of \( 1.624 \). Th ...

Magnesium has a hexagonal close packed (HCP) crystal structure with a c/a ratio of \( 1.624 \). The density of \( \mathrm{Mg} \) is \( 1.74 \mathrm{~g} / \mathrm{cm}^{3} \) and its atomic weight is \( 24.305 \mathrm{amu} \). Using only these data, compute the metallic radius of \( \mathrm{Mg} \).