Physics 871: Problem set 3

1. A certain zinc-blende lattice comprises chemicals A and B, which have form factors f_a and f_b, respectively. Calculate the complete structure factor S_K for from this lattice.
   (a) Discuss the how S_K depends on odd or even values for h, k, l.
   Also discuss the result for
   (b) h + k + l = 4n + 0;
   (c-e) h + k + l = 4n + 1; etc.
   (f) Discuss how these results ``morph" to the results of a monatomic diamond lattice.

2. In the Brillioun zone of an FCC lattice, what is the largest propagation vector that is (a) parallel to the cube edge; (b) the body diagonal of the cube; (c) parallel to the diagonal of the cube face.

3. M&A problem 24.2

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