Metallic magnesium has a hexagonal close-packed structure and a density of 1.74 g/cm3. Assume magnesium atoms to

Question:

Metallic magnesium has a hexagonal close-packed structure and a density of 1.74 g/cm3. Assume magnesium atoms to be spheres of radius r. Because magnesium has a close-packed structure, 74.1% of the space is occupied by atoms. Calculate the volume of each atom; then find the atomic radius, r. The volume of a sphere is equal to 4πr3/3.