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Abstract

What is the validity of the kinematic approach?\(\ldots\) How do the dynamical diffraction effects affect the relative intensities of a crystal?\(\ldots\) How narrow are the diffraction curves in perfect single crystals?\(\ldots\) Here are some frequently asked questions on X-ray crystallography. In this chapter, the simplest approach of dynamical diffraction, known as Darwin–Prins dynamical theory (Warren 1990; Als-Nielsen and McMorrow 2001), will be revisited. Although restricted to symmetric reflection geometry, it allows us to understand basic principles of the phenomenon, contributing to the development of easy to implement calculation routines without long incursions through the complex approach of the dynamical diffraction general theory (Authier 2004; Batterman and Cole 1964; Ewald 1969; Weckert and Hümmer 1997).

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Notes

  1. 1.

    The reflected and transmitted fields by planes of atoms with thickness comparable to the wavelength are deducted in many textbooks, see, for example, James (1948), Warren (1990), and Als-Nielsen and McMorrow (2001).

  2. 2.

    The FWHM of the diffraction curve in the dynamical regime, thick crystals, is slightly different from the intrinsic width or Darwin’s width, e.g. Als-Nielsen and McMorrow (2001, p. 184).

  3. 3.

    See Authier (2004, Ch. 16) for detailed discussion on the standing waves phenomenon.

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Morelhão, S.L. (2016). Dynamical Diffraction. In: Computer Simulation Tools for X-ray Analysis. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-19554-4_6

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