Problem: Structure Factor of A C

    Experiments show that the (2 0 0) X-ray diffraction peak of the fcc C solid (lattice spacing: a=14.11 Å) is very weak. Assume that the charge distribution of a fullerene ball is represented by a surface charge on the surface of a sphere of radius 3.5 Å. Calculate the form factor of the C molecule in this approximation. Show that the form factor of the (2 0 0) peak is indeed much less than that of the (1 1 1) peak!