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Reciprocal Lattice of a face centered cube lattice

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11. For a body-contered-cubic lattice of lattice constant a, (a) what's the distance between nearest neighbor lattice sites? (b) how many nearest neighbors around one lattice site? (c) how many lattice sites within each cubic unit cell? (d) what's the volume of a primitive cell? 12. Answer all the questions of problem 11 for a face-centered-cubic lattice.