A quantitative measure of how efficiently spheres pack into unit cells is called packing e...

A quantitative measure of how efficiently spheres pack into unit cells is called packing efficiency, which is the percentage of the cell space occupied by the spheres. Calculate the packing efficiencies of a simple cubic cell, a body-centered cubic cell, and a face-centered cubic cell. (Hint: Refer to Figure 12.22 and use the relationship that the volume of a sphere is , where ris the radius of the sphere.)