•• Extend the reasoning of Problem 1 to prove that the number of atoms per unit cell of the BCC lattice is 2.
Problem 1
• One can think of a simple cubic lattice [Fig. 13.8(b)] as a stack of many unit cubes [Fig. 13.8(c)]. However, in counting atoms there is a danger of miscounting, since adjacent cubes share several atoms. (a) Consider any one atom in the lattice. How many cubes share this atom? (b) Consider any one cube. How many atoms does the cube have a share of? (c) Prove that in the lattice as a whole, there is one atom per unit cube.
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