ABSTRACT

This chapter makes us to learn that just as a crystal has unique lattice vectors or real space lattice vectors real space lattice vectors which identify the unique crystal structure, there are reciprocal lattice vectors associated with every set of real space lattice vectors. It revisits Bragg's Law. The chapter shows that the radiation scattering intensity from a crystal is related to the reciprocal lattice vectors reciprocal lattice translation vector. It considers the scattering of waves from a crystal. The reciprocal lattice is crucial in understanding a crystal structure because the diffraction pattern of a crystal is a map of its reciprocal lattice. The Ewald construction refers to a graphical representation of the conditions that lead to crystal diffraction. Brillouin zones are regions of reciprocal lattice space that exhibit all the wave vectors three-dimensional reciprocal lattice vector which can be Bragg reflected by the crystal.