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Elementary dynamical theory

ANDRÉ AUTHIER

in Dynamical Theory of X-Ray Diffraction

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528920
eISBN:
9780191713125
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528920.003.0004
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter presents the basic properties of dynamical diffraction in an elementary way. The relationship with the band theory of solids is explained. The fundamental equations of dynamical theory ... More


Spherical-wave dynamical theory: I. Kato’s theory

ANDRÉ AUTHIER

in Dynamical Theory of X-Ray Diffraction

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528920
eISBN:
9780191713125
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528920.003.0010
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter is the first of two dealing with the dynamical diffraction of incident spherical waves. It makes use of Kato's theory, which is based on a Fourier expansion of the spherical wave. The ... More


Geometrical theory of X-ray diffraction

ANDRÉ AUTHIER

in Dynamical Theory of X-Ray Diffraction

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528920
eISBN:
9780191713125
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528920.003.0003
Subject:
Physics, Atomic, Laser, and Optical Physics

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 ... More


Intensities of plane waves in the transmission geometry

ANDRÉ AUTHIER

in Dynamical Theory of X-Ray Diffraction

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528920
eISBN:
9780191713125
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528920.003.0006
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter is concerned with the transmission, or Laue, geometry, and an incident plane wave. Two cases are considered, Laue–Laue and Laue–Bragg. After describing the boundary conditions at the ... More


Intensities of plane waves in the reflection geometry

ANDRÉ AUTHIER

in Dynamical Theory of X-Ray Diffraction

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528920
eISBN:
9780191713125
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528920.003.0007
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter calculates the reflected intensity for the reflection, or Bragg, geometry and an incident plane wave. Both the cases of very thick and thin crystals are considered. In each case the ... More


The diffraction of X-rays

Christopher Hammond

in The Basics of Crystallography and Diffraction

Published in print:
2015
Published Online:
August 2015
ISBN:
9780198738671
eISBN:
9780191801938
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198738671.003.0009
Subject:
Physics, Crystallography, Condensed Matter Physics / Materials

Chapter 9 illustrates the intensities of X-ray diffracted beams and considers atomic scattering factors, the structure factor equation, and its applications. Next, it analyses the broadening of ... More


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