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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 the atoms. Calculate the volume of each atom; then find the atomic radius, r.

 

Volume of a sphere = (4Pir2)/3

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