Determination of Reflection Phases by Three-Beam Diffraction

Hümmer, K.; Weckert, E.

doi:10.1007/978-1-4615-5879-8_24

Cited by 25 publications

(6 citation statements)

References 32 publications

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“…a unit cell; e −W T j is the thermal Debye-Waller factor that takes into account the attenuation of the elastic scattering of x-rays due to a thermal vibrations of the atoms. In equation (40) …”

Section: Susceptibilitiesmentioning

confidence: 99%

“…The imaginary part of the Fourier component of the susceptibility χ hi in a crystal in analogy to (40) can also be presented as a sum of contributions of different atoms…”

Section: Susceptibilitiesmentioning

confidence: 99%

“…During last years it was a rapid development of the direct methods for the phase determination of the structure factors, for example, by means of multibeam diffraction [38,39,40,101]. Another direct method of the structure analysis and phase determination is based on XSW method.…”

Section: Phase Problemmentioning

confidence: 99%

“…It is so-called case of multiple wave diffraction (see for e.g. book [38] and review papers [39,40]).…”

Section: Takagi-taupin Equationsmentioning

confidence: 99%

“…To solve this problem of phase determination indirect methods are widely used in x-ray crystallography (see for review of different methods a book [100]). During last years it was a rapid development of the direct methods for the phase determination of the structure factors, for example, by means of multibeam diffraction [38,39,40,101]. Another direct method of the structure analysis and phase determination is based on XSW method.…”

Section: Phase Problemmentioning

confidence: 99%

See 4 more Smart Citations

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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Section: Susceptibilitiesmentioning

confidence: 99%

“…The imaginary part of the Fourier component of the susceptibility χ hi in a crystal in analogy to (40) can also be presented as a sum of contributions of different atoms…”

Section: Susceptibilitiesmentioning

confidence: 99%

Section: Phase Problemmentioning

confidence: 99%

“…It is so-called case of multiple wave diffraction (see for e.g. book [38] and review papers [39,40]).…”

Section: Takagi-taupin Equationsmentioning

confidence: 99%

Section: Phase Problemmentioning

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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Dynamical Theory of X-Ray Diffraction

Authier

2003

394

658

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X-ray diffraction is a major tool for the study of crystal structures and the characterization of crystal perfection. Since the discovery of X-ray diffraction by von Laue, Friedrich, and Knipping in 1912 two basic theories have been used to describe this diffraction. One is the approximate geometrical, or kinematical theory, applicable to small or highly imperfect crystals; it is used for the determination of crystal structures and the study of powders and polycrystalline materials. The other one is the rigorous dynamical theory, applicable to perfect or nearly perfect crystals and, for that reason, is the one used for the assessment of the structural properties of high technology materials. It has witnessed exciting developments since the advent of synchrotron radiation. This book provides an account of the dynamical theory of diffraction and of its applications. The first part serves as an introduction to the subject, presenting early developments, Ewald's theory of dispersion and the basic results of Laue's dynamical theory. This is followed in the second part by a detailed development of the diffraction and propagation properties of X-rays in perfect crystals, including the study of anomalous absorption, Pendellösung, grazing incidence diffraction (GID) and n-beam or multiple-beam diffraction. The third part constitutes an extension of the theory to the case of slightly and highly deformed crystals. The last part gives three applications of the theory: X-ray optics for synchrotron radiation, location of atoms at surfaces and interfaces and X-ray diffraction topography.

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2003

Dynamical Theory of X-Ray Diffraction

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Determination of Reflection Phases by Three-Beam Diffraction

Cited by 25 publications

References 32 publications

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

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

Dynamical Theory of X-Ray Diffraction

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