Learning Objectives:

After completing this section you should be able to

• state and use Bragg's equation;
• construct reciprocal lattices for two or three dimensional crystal;
• index reciprocal lattices;
• interpret the diffraction pattern from a single crystal in terms of the Ewald sphere construction; and
• explain the finite size and shape of reciprocal lattice points for thin samples of crystals.

Section listing: Superposition of Waves Geometry of Diffraction: Braggs Law I Geometry of Diffraction: Braggs Law 2 Geometry of Diffraction: Exercises Planes in Crystals The Reciprocal Lattice 2-D Reciprocal Lattices Plane Reciprocal Lattice Structure Exercises Reciprocal Lattice Exercises Ewald's Sphere Construction in 2D Ewald's Sphere Construction in 3D Lattice Vectors Reciprocal Vector, g Streaking Reciprocal Lattice Points Deviation Parameter, s Ewald's Sphere and Diffraction Patterns Ewald's Sphere and Streaking