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Metallic magnesium has a hexagonal close-packed structure and density of 1.74g/cm^3. Assume magnesium atoms to be...

Metallic magnesium has a hexagonal close-packed structure and density of 1.74g/cm^3. 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 4π^3/3.

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