Calculate the percent of volume occupied by spheres

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Calculate the percent of volume that is actually occupied by spheres in a face-centered cubic lattice of identical spheres. You can do this by first relating the radius of a sphere,r, to the length of an edge of a unit cell, l. (Note that the spheres do not touch along an edge but do touch along the diagonal of a face.) Then calculate the volume of a unit cell in terms of r. The volume occupied by a sphere equals the number of spheres per unit cell times the volume of a sphere (4/3piR^3).

Reference no: EM13150943

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