1. Derive the Bragg Equation

2. Problem 23.2

3. Problem 23.5

4. The 200 reflection of a fcc crystal diffracts at an angle of 25.21o when Cu x-rays of 1.543 Angstroms are used.

a) What distance in the reciprocal lattice does this correspond?

b) What is the edge of the unit cell in this crystal?

c) Show how the number of atoms of Cu per unit cell is calculated?

d) What is the density of the metal if this data is for a copper crystal?

5. Problem 23.11

6. A solution of carbon in fcc iron has a density of 8.105 g/cm3 and a unit cell edge of 358.3 pm. a) What is the density of pure iron in this form? b) Are the carbon atoms interstitial or do they substitute for iron atoms in the lattice? EXPLAIN.