Multiple Diffraction of X-Rays in Crystals

The three-dimensional arrangement of atoms and molecules in crystals and the comparable magnitude of x-ray wavelengths and interatomic distances make it possible for crystals to have more than one set of atomic planes that satisfy Bragg's law and simultaneously diffract an incident x-ray beam -...

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Bibliographic Details
Main Author: In-Hang, Shih-Lin
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1984, 1984
Edition:1st ed. 1984
Series:Springer Series in Solid-State Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Multiple Diffraction of X-Rays in Crystals  |h Elektronische Ressource  |c by Shih-Lin In-Hang 
250 |a 1st ed. 1984 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1984, 1984 
300 |a XI, 300 p  |b online resource 
505 0 |a 1. Introduction -- 2. Geometry, Peak Indexing, and Experimental Techniques -- 2.1 Geometry of Multiple Diffraction -- 2.2 Experimental Techniques for Obtaining Multiple Diffraction -- 2.3 Indexing Multiple Diffraction Patterns -- 2.4 Indexing Kossel Patterns -- 3. Kinematical Theory of Diffraction -- 3.1 Equation of Power Transfer for Multi-Beam Cases -- 3.2 Approximate Solutions to the Equation of Power Transfer -- 3.3 Integrated Intensity and the Lorentz-Polarization Factors -- 3.4 Path Lengths of X-Ray Beams in Crystals -- 3.5 Exact Solution to the Power-Transfer Equation -- 3.6 Iterative Calculation for Reflection Power -- 3.7 Dynamical Treatment for Kinematical Reflections -- 3.8 Diffraction in Multi-Layered Crystals -- 3.9 Peak Width, Beam Divergence, and Mosaic Spread -- 4. Dynamical Theory of X-Ray Diffraction -- 4.1 Fundamental Equation of Wavefields -- 4.2 Polarization of Wavefields -- 4.3 Dispersion Surface -- 4.4 Energy Flow -- 4.5 Modes of Wave Propagation --  
505 0 |a 4.6 Absorption -- 4.7 Boundary Conditions -- 4.8 Excitation of Mode and Excitation of Beam -- 4.9 Intensity of Wavefield (Standing-Wave) in Crystal -- 4.10 Consideration of the Spherical-Wave Nature of the Incident X-Rays -- 5. Approximations, Numerical Computing, and Other Approaches -- 5.1 Two-Beam Approximation for Three-Beam Diffraction -- 5.2 Procedures for Numerical Computing -- 5.3 Quantum Mechanical Approach -- 5.4 N-Beam Diffraction in Other Types of Interaction -- 6. Case Studies -- 6.1 Bragg-Type Multiple Diffraction from Gallium Arsenide, Indium Arsenide and Indium Phosphide—Kinematical Interpretation -- 6.2 Three-Beam Borrmann Diffraction—Dynamical Calculation -- 6.3 Simultaneous Four-Beam Borrmann Diffraction -- 6.4 Three-Beam Bragg-Laue and Bragg-Bragg Diffraction -- 6.5 Four-Beam Bragg-Laue Diffraction -- 7.Applications -- 7.1 Experimental Determination of X-Ray Reflection Phases; Application to Crystal Structure Determination --  
505 0 |a 7.2 Determination of Lattice Constants of Single Crystals -- 7.3 Determination of Lattice Mismatch in Thin Layered Materials -- 7.4 Multi-Beam X-Ray Topography -- 7.5 Multi-Beam X-Ray Interferometer -- 7.6 Monochromatization of X-Ray Beams -- 7.7 Plasma Diagnosis -- 7.8 Determination of Mosaic Spread of Crystals -- 7.9 Multi-Beam X-Ray Standing-Wave Excited Fluorescence Technique for Surface Studies—A Proposed Method -- 7.10 Possible Future Trend of Development -- References 
653 |a Laser 
653 |a Materials Science 
653 |a Materials science 
653 |a Lasers 
653 |a Crystallography 
653 |a Crystallography and Scattering Methods 
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490 0 |a Springer Series in Solid-State Sciences 
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520 |a The three-dimensional arrangement of atoms and molecules in crystals and the comparable magnitude of x-ray wavelengths and interatomic distances make it possible for crystals to have more than one set of atomic planes that satisfy Bragg's law and simultaneously diffract an incident x-ray beam - this is the so-called multiple diffraction. This type of diffraction should, in prin­ ciple, reflect three-dimensional information about the structure of the dif­ fracting material. Recent progress in understanding this diffraction phenome­ non and in utilizing this diffraction technique in solid-state and materials sciences reveals the diversity as well as the importance of multiple diffraction of x-rays in application. Unfortunately, there has been no single book written that gives a sys­ tematic review of this type of diffraction, encompasses its diverse applica­ tions, and foresees future trends gf development. It is for this purpose that this book is designed. It is hoped that its appearance may possibly turn more attention of condensed-matter physicists, chemists and material scientists toward this particular phenomenon, and that new methods of non-destructive analysis of matter using this diffraction technique may be developed in the future