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Chapter 11: X-ray diffraction: geometry

Chapter 11: X-ray diffraction: geometry

pp. 259-290

Authors

, Carnegie Mellon University, Pennsylvania, , Carnegie Mellon University, Pennsylvania
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Summary

In trying to think of some way in which diffraction effects with X-rays might be found, and the question of their true nature answered, he [von Laue] came to the realization that Nature had provided, in a crystal, a diffraction grating exactly suited for that purpose.

William Lawrence Bragg, Nobel Lecture, 1922

The first ten chapters of this book provide an in-depth description of the crystallographic concepts used to describe crystals and to perform crystallographic computations. Armed with these skills, we are now ready to begin a discussion of commonly used experimental X-ray diffraction methods. First, we will discuss what X-rays are and how we can generate them. Then, we will talk about the interaction of X-rays with crystal lattices and introduce the concept of diffraction. This will lead to Bragg's law, a central theorem for diffraction. We will convert Bragg's law from its usual direct space formulation to a reciprocal space form, and introduce a graphical tool, known as the Ewald sphere, to describe diffraction events. We conclude the chapter with a brief overview of a few commonly used experimental methods.

Properties and generation of X-rays

In this section, we will discuss some of the fundamental properties of X-rays, and show how we can generate X-rays experimentally. We will introduce the concept of a wave vector, and describe how one can experimentally select a particular wavelength.

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