• (a) Consider a simple cubic lattice of atoms in which the number density of atoms is n­a...

• (a) Consider a simple cubic lattice of atoms in which the number density of atoms is n­a. Show that the distance a between nearest neighbors is given by . (b) In a metal we can define a distance rs as the radius of a sphere whose volume is the volume per conduction electron. Show that rs is related to the conduction electron density n by the formula rs = [3/(4πn)]1/3. (c) What is the relation between rs and a for a monovalent metal with a simple cubic lattice?