- Title Pages
- <b>Preface</b>
- Dedication
- Dedication
- I Historical developments<sup>1</sup>
- 2 Properties of the electromagnetic field— propagation and scattering
- 3 Geometrical theory of X-ray diffraction
- 4 Elementary dynamical theory
- 5 Properties of wavefields
- 6 Intensities of plane waves in the transmission geometry
- 7 Intensities of plane waves in the reflection geometry
- 8 Dynamical diffraction in highly asymmetric coplanar and non-coplanar geometries
- 9 n-beam dynamical diffraction
- 10 Spherical-wave dynamical theory: I. Kato’s theory
- 11 Spherical-wave dynamical theory: Ii. Takagi’s theory
- 12 Ray tracing in perfect crystals
- 13 Ray tracing in slightly deformed crystals
- 14 Propagation of X-rays in highly deformed crystals
- 15 X-ray optics
- 16 Location of atoms at surfaces and interfaces using X-ray standing waves
- 17 X-ray diffraction topography
- Appendix 1 Useful formulae
- Appendix 2 <b>The early days of dynamical theory</b>
- References
- <b>List of symbols</b>
- <b>Index of names</b>
- <b>Index of Subjects</b>

# Geometrical theory of X-ray diffraction

# Geometrical theory of X-ray diffraction

- Chapter:
- (p.57) 3 Geometrical theory of X-ray diffraction
- Source:
- Dynamical Theory of X-Ray Diffraction
- Author(s):
### ANDRÉ AUTHIER

- Publisher:
- Oxford University Press

This chapter describes a concise summary of the geometrical theory of X-ray diffraction, which is not the main topic of the book. The amplitude diffracted by a periodic electron distribution is calculated and the structure factor is introduced. The intensity diffracted by a small crystal is then calculated and the expression of the angular variations of the reflectivity discussed. Finally, the integrated intensity is calculated both in the reflection and the transmission geometries and the mosaic crystal model introduced.

*Keywords:*
geometrical theory, structure factor, reflectivity, integrated intensity, mosaic crystal model

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- Title Pages
- <b>Preface</b>
- Dedication
- Dedication
- I Historical developments<sup>1</sup>
- 2 Properties of the electromagnetic field— propagation and scattering
- 3 Geometrical theory of X-ray diffraction
- 4 Elementary dynamical theory
- 5 Properties of wavefields
- 6 Intensities of plane waves in the transmission geometry
- 7 Intensities of plane waves in the reflection geometry
- 8 Dynamical diffraction in highly asymmetric coplanar and non-coplanar geometries
- 9 n-beam dynamical diffraction
- 10 Spherical-wave dynamical theory: I. Kato’s theory
- 11 Spherical-wave dynamical theory: Ii. Takagi’s theory
- 12 Ray tracing in perfect crystals
- 13 Ray tracing in slightly deformed crystals
- 14 Propagation of X-rays in highly deformed crystals
- 15 X-ray optics
- 16 Location of atoms at surfaces and interfaces using X-ray standing waves
- 17 X-ray diffraction topography
- Appendix 1 Useful formulae
- Appendix 2 <b>The early days of dynamical theory</b>
- References
- <b>List of symbols</b>
- <b>Index of names</b>
- <b>Index of Subjects</b>