Dynamical Theory of X-Ray Diffraction — II. Deformed Crystals

Authier, A.

doi:10.1007/978-1-4615-5879-8_3

Cited by 11 publications

(18 citation statements)

References 57 publications

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“…where R 0 is defined in (31). Typical behavior of the reflectivity P R (θ) and of the phase α(θ) in the diffraction region is shown on Fig.…”

Section: Takagi-taupin Equationsmentioning

confidence: 99%

“…In the end of the same Chapter for the same reason we give the main relationships for the description of the real and imaginary part of the susceptibilities in crystals in x-ray wavelength region. For a recent review of the dynamical theory of x-ray diffraction in a perfect and deformed crystals see also [30,31]. Chapter III gives a general mathematical formalism for calculating the secondary radiation yield in a real crystal.…”

Section: Introductionmentioning

confidence: 99%

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Theory and applications of x-ray standing waves in real crystals

Vartanyants¹,

Kovalchuk

2001

Rep. Prog. Phys.

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Theoretical aspects of x-ray standing wave method for investigation of the real structure of crystals are considered in this review paper. Starting from the general approach of the secondary radiation yield from deformed crystals this theory is applied to different concreate cases. Various models of deformed crystals like: bicrystal model, multilayer model, crystals with extended deformation field are considered in detailes. Peculiarities of x-ray standing wave behavior in different scattering geometries (Bragg, Laue) are analysed in detailes. New possibilities to solve the phase problem with x-ray standing wave method are discussed in the review. General theoretical approaches are illustrated with a big number of experimental results. * present address:

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“…where R 0 is defined in (31). Typical behavior of the reflectivity P R (θ) and of the phase α(θ) in the diffraction region is shown on Fig.…”

Section: Takagi-taupin Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theory and applications of x-ray standing waves in real crystals

Vartanyants¹,

Kovalchuk

2001

Rep. Prog. Phys.

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“…), precipitates, inclusions and microdefects, long-range defects and strain gradients, acoustic waves, and so on, with a very wide range of applications ranging from the characterization of growth defects to the study of the mechanisms of deformations and to the quality control of semiconductor, electro-optic or piezoelectric devices. For reviews, see, for instance, Klapper (1991), Authier et al (1996), Bowen & Tanner (1998) and Authier (2001).…”

Section: Topographymentioning

confidence: 99%

Optical properties of X-rays – dynamical diffraction

Authier¹

2012

Zeitschrift für Kristallographie

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Dedicated to Max von Laue on the occasion of the hundredth anniversary of the discovery of X-ray diffraction X-ray diffraction / Dynamical theory / Kossel lines / Refractive index / X-ray interferometers Abstract. The first attempts at measuring the optical properties of X-rays such as refraction, reflection and diffraction are described. The main ideas forming the basis of Ewald's thesis in 1912 are then summarized. The first extension of Ewald's thesis to the X-ray case is the introduction of the reciprocal lattice. In the next step, the principles of the three versions of the dynamical theory of diffraction, by Darwin, Ewald and Laue, are given. It is shown how the comparison of the dynamical and geometrical theories of diffraction led Darwin to propose his extinction theory. The main optical properties of X-ray wavefields at the Bragg incidence are then reviewed: Pendellösung, shift of the Bragg peak, fine structure of Kossel lines, standing waves, anomalous absorption, paths of wavefields inside the crystal, Borrmann fan and double refraction. Lastly, some of the modern applications of the dynamical theory are briefly outlined: X-ray topography, location of adsorbed atoms at crystal surfaces, optical devices for synchrotron radiation and X-ray interferometry.

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“…), precipitates, inclusions and microdefects, long-range defects and strain gradients, acoustic waves, and so on, with a very wide range of applications ranging from the characterization of growth defects to the study of the mechanisms of deformations and to the quality control of semiconductor, electrooptic or piezoelectric devices. For reviews, see, for instance, Klapper (1991), Authier et al (1996), Bowen & Tanner (1998) and Authier (2001).…”

Section: Topographymentioning

confidence: 99%

Optical properties of X-rays – dynamical diffractionThis Laue centennial article has also been published inZeitschrift für Kristallographie[Authier (2012).Z. Kristallogr.227, 36–51].

Authier

2011

Acta Cryst Sect A

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The first attempts at measuring the optical properties of X-rays such as refraction, reflection and diffraction are described. The main ideas forming the basis of Ewald's thesis in 1912 are then summarized. The first extension of Ewald's thesis to the X-ray case is the introduction of the reciprocal lattice. In the next step, the principles of the three versions of the dynamical theory of diffraction, by Darwin, Ewald and Laue, are given. It is shown how the comparison of the dynamical and geometrical theories of diffraction led Darwin to propose his extinction theory. The main optical properties of X-ray wavefields at the Bragg incidence are then reviewed: Pendellö sung, shift of the Bragg peak, fine structure of Kossel lines, standing waves, anomalous absorption, paths of wavefields inside the crystal, Borrmann fan and double refraction. Lastly, some of the modern applications of the dynamical theory are briefly outlined: X-ray topography, location of adsorbed atoms at crystal surfaces, optical devices for synchrotron radiation and X-ray interferometry.

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Dynamical Theory of X-Ray Diffraction — II. Deformed Crystals

Cited by 11 publications

References 57 publications

Theory and applications of x-ray standing waves in real crystals

Theory and applications of x-ray standing waves in real crystals

Optical properties of X-rays – dynamical diffraction

Optical properties of X-rays – dynamical diffractionThis Laue centennial article has also been published inZeitschrift für Kristallographie[Authier (2012).Z. Kristallogr.227, 36–51].

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