Consider the CuAu crystal structure. It can b e described as a simple cubic lattice with a basis of Cu (0, 0, 0), Cu (1/2, 1/2, 0), Au (1/2, 0, 1/2), and Au (0, 1/2, 1/2).
(a) How many atoms of each type are there per unit cell?
(b) Draw the unit cell for CuAu. Use a different symbol for each type of atom. Provide a legend indicating which symbol represents which type of atom.
(c) Give an alternative lattice and basis representation for CuAu f or which on e atom of the basis is Au (0, 0, 0).
(d) A related crystal structure is that of Cu3Au. This u nit cell is similar to the face-c entered cubic unit cell with Au at the corners of the unit c ell and Cu at all of the face-centered positions. Describe this structure as a lattice and a basis.
(e) The Cu3Au crystal structure is similar to the FCC crystal structure, but it does not have the face-centered cubic lattice. Explain briefly why this is the case.