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Approximations, Numerical Computing, and Other Approaches

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Multiple Diffraction of X-Rays in Crystals

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 50))

Abstract

This chapter is an extension of Chap. 4. In Chap. 4, we have given the general formalism for the dynamical theory of x-ray diffraction. However, analytical expressions for diffracted intensity are usually desirable to have in order to reveal the connection between diffracted intensities and various physical parameters for special circumstances. In this chapter, analytical expressions for intensity are derived, using the two-beam approximation. Calculation procedures developed on the basis of Chap. 4 are also presented here to provide full numerical information about the diffraction mechanism and to complement the two-beam approximation. A section on the quantum mechanical approach then follows, with a comparison between the classical and quantum approaches. Other phenomena, which can be described in terms of the two-beam approximation, are discussed at the end of this chapter as examples of treating radiation-solid interactions as multi-beam cases. In the following, we shall begin with the dispersion equation (4.41) for the discussion on the two- beam approximation.

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Authors and Affiliations

  1. Instituto de Física, Universidade Estadual de Campinas, Caixa Postal 1170, 13100, Campinas, São Paulo, Brazil

    Professor Shih-Lin Chang Ph. D.

Authors
  1. Professor Shih-Lin Chang Ph. D.
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© 1984 Springer-Verlag Berlin Heidelberg

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Chang, SL. (1984). Approximations, Numerical Computing, and Other Approaches. In: Multiple Diffraction of X-Rays in Crystals. Springer Series in Solid-State Sciences, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82166-0_5

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  • DOI: https://doi.org/10.1007/978-3-642-82166-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82168-4

  • Online ISBN: 978-3-642-82166-0

  • eBook Packages: Springer Book Archive

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