A beam of electrons with kinetic energy 350 eV is incident normal to the surface of a KC1 crystal that has been cut so that the spacing d between adjacent atoms in the planes parallel to the surface is 0.315 nm. (a) There are multiple diffraction peaks from this scattering corresponding to different inte- gers n in the Bragg condition. Show that there is a maximum n above which diffraction peaks are not possible, and find this integer nmax. (b) Calculate the angles at which diffraction peaks will occur for all orders that are possible.

A beam of electrons with kinetic energy 350 eV is incident normal to the surface of a KC1 crystal that has been cut so that the spacing d between adjacent atoms in the planes parallel to the surface is 0.315 nm. (a) There are multiple diffraction peaks from this scattering corresponding to different inte- gers n in the Bragg condition. Show that there is a maximum n above which diffraction peaks are not possible, and find this integer nmax. (b) Calculate the angles at which diffraction peaks will occur for all orders that are possible.