5. Structure factor of diamond. The crystal structure of diamond is described in Chapter 1. The basis consists of eight atoms if the cell is taken as the conventional cube. (a) Find the structure factor S of this basis. (b) Find the zeros of S and show that the allowed reflections of the diamond structure satisfy v, + v2+ Uz where all indices are even and n is any integer, or else all indices are odd (Fig. 18). (Notice that h, k, l may be written for v, v2, Uz and this is often done.) 4n, %3D

5. Structure factor of diamond. The crystal structure of diamond is described in Chapter 1. The basis consists of eight atoms if the cell is taken as the conventional cube. (a) Find the structure factor S of this basis. (b) Find the zeros of S and show that the allowed reflections of the diamond structure satisfy v, + v2+ Uz where all indices are even and n is any integer, or else all indices are odd (Fig. 18). (Notice that h, k, l may be written for v, v2, Uz and this is often done.) 4n, %3D