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Dynamical theory of x-ray diffraction

Autore: André Authier
Editore: Oxford : Oxford University Press, 2001.
Serie: International Union of Crystallography monographs on crystallography, 11.
Edizione/Formato:   Libro : EnglishVedi tutte le edizioni e i formati
Banca dati:WorldCat
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Presents a comprehensive account of the dynamical diffraction of X-rays since the development of synchrotron radiation. This book provides an introduction to the subject, followed by a detailed  Per saperne di più…

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Tipo materiale: Risorsa internet
Tipo documento: Book, Internet Resource
Tutti gli autori / Collaboratori: André Authier
ISBN: 0198559607 9780198559603
Numero OCLC: 45799622
Descrizione: xviii, 661 p. : ill. ; 24 cm.
Contenuti: I Background and basic results 1 --
1 Historical developments 3 --
1.2 Discovery of X-ray diffraction 4 --
1.3 Geometrical theory of diffraction 5 --
1.4 Darwin's dynamical theory of diffraction 6 --
1.5 Extinction theories 8 --
1.6 Ewald's dynamical theory 11 --
1.7 Early confirmations of the dynamical theory 13 --
1.8 Laue's dynamical theory 14 --
1.9 Umweganregung and Aufhellung 14 --
1.10 Properties of wavefields 16 --
1.11 Diffraction by deformed crystals 25 --
1.12 Modern times 26 --
2 Properties of the electromagnetic field--propagation and scattering 28 --
2.1 Maxwell's equations 28 --
2.2 Electrodynamic potentials in vacuum 29 --
2.3 Electrodynamic potentials in polarized media 31 --
2.4 Hertz vectors (polarization potentials) 31 --
2.5 Propagation of an electromagnetic wave in vacuum 33 --
2.6 Scattering of X-rays by an electron 33 --
2.7 Polarizability of matter for X-rays 36 --
2.8 Ewald's dispersion theory 43 --
2.9 Propagation equation of an electromagnetic wave in materials in Laue's dynamical theory 49 --
2.10 Specular reflection--Fresnel relations 50 --
3 Geometrical theory of X-ray diffraction 57 --
3.1 Classical scattering by an electron--polarization 57 --
3.2 Amplitude diffracted by a periodic electron distribution 58 --
3.3 Intensity diffracted by a small crystal 61 --
3.4 Reflectivity 63 --
3.5 Integrated intensity 65 --
3.6 Mosaic crystals 67 --
4 Elementary dynamical theory 68 --
4.1 Limitations of the geometrical theory 68 --
4.2 Introduction of the dispersion surface 69 --
4.3 Analogy with the band theory of solids 71 --
4.4 Propagation equation 73 --
4.5 Fundamental equations of dynamical theory 74 --
4.6 Amplitude ratio of the refracted and reflected waves 79 --
4.7 Solutions of plane-wave dynamical theory 80 --
4.8 Diffracted waves in the transmission geometry 88 --
4.9 Diffracted waves in the reflection geometry 99 --
4.10 Influence of the asymmetry on the position and width of the rocking curve and of the angular distribution of the reflected beam 104 --
4.11 Comparison with geometrical theory 107 --
4.12 Dynamical diffraction by quasicrystals 110 --
II Advanced dynamical theory 113 --
5 Properties of wavefields 115 --
5.1 Relations between the field vectors 115 --
5.2 Fundamental equations of the dynamical theory 117 --
5.3 Dispersion equation in the two-beam case 118 --
5.4 Poynting vector of the wavefields 121 --
5.5 Determination of the tiepoints--geometrical interpretation of the deviation parameter 123 --
5.6 Deviation parameter in absorbing crystals 136 --
5.7 Amplitude ratio of the refracted and reflected waves 136 --
5.8 Anomalous absorption 139 --
5.9 Dispersion surface when the Bragg angle is close to [pi]/2 148 --
6 Intensities of plane waves in the transmission geometry 155 --
6.1 Boundary conditions for the amplitudes at the entrance surface 155 --
6.2 Amplitudes of the refracted and reflected waves 157 --
6.3 Boundary conditions for the wavevectors at the exit surface 161 --
6.4 Rocking curves of the reflected and refracted beams 166 --
6.5 Integrated intensity 170 --
7 Intensities of plane waves in the reflection geometry 173 --
7.1 Thick absorbing crystals 173 --
7.2 Standing waves 181 --
7.3 Thin crystals 185 --
8 Dynamical diffraction in highly asymmetric coplanar and non-coplanar geometries 189 --
8.2 Diffraction at grazing incidence or grazing emergence 189 --
8.3 Deviation from Bragg's incidence of the middle of the reflection domain 192 --
8.4 Variation of the Darwin width for a grazing incidence 197 --
8.5 Variation of the width of the diffracted beam for a grazing emergence 200 --
8.6 Equation of the dispersion surface 201 --
8.7 Relation with the traditional dynamical theory 206 --
8.8 Specularly and Bragg-reflected intensities 207 --
8.9 Grazingt incidence diffraction (non-coplanar geometry) 213 --
9 n-beam dynamical diffraction 225 --
9.2 General three-beam case 226 --
9.3 Three-beam coplanar case 236 --
9.4 Determination of phases using n-beam diffraction 236 --
9.5 Super-Borrmann effect 242 --
10 Spherical-wave dynamical theory: I. Kato's theory 249 --
10.1 Extension of the dynamical theory to any kind of incident wave 249 --
10.2 Fourier expansion of a spherical wave in plane waves 250 --
10.3 Direct integration in the transmission geometry 255 --
10.4 Intensity distribution on the exit surface 260 --
10.5 Equal-intensity (Pendellosung) fringes 263 --
10.6 Integration by the stationary phase method 264 --
10.7 Integrated intensity 268 --
10.8 Influence of polarization 269 --
10.9 Bragg geometry 269 --
Appendix Geometrical interpretation of [eta] / [square root]S([gamma]h) + [eta superscript 2] in the transmission geometry 274 --
11 Spherical-wave dynamical theory: II. Takagi's theory 277 --
11.2 Generalized fundamental equations 279 --
11.3 Reduction of Takagi's equations in the plane-wave case 285 --
11.4 Absorbing crystals 286 --
11.5 Analytical resolution of Takagi's equations for perfect crystals 286 --
11.6 Analytical solution for a point source using the method of integral equations 287 --
11.7 Analytical resolution of Takagi's equations using the Riemann function 291 --
11.8 Analytical solution for an incident spherical wave using the method of Riemann functions 295 --
Appendix Hyperbolic partial differential equations 299 --
12 Ray tracing in perfect crystals 304 --
12.1 Ray tracing 304 --
12.2 Structure of real waves 305 --
12.3 Wavepackets made of the superposition of separate plane waves 306 --
12.4 Wavepackets made of a continuous distribution of wavevectors 308 --
12.5 Group velocity and Poynting vector 310 --
12.6 Angular amplification 311 --
12.7 Intensity distribution along the base of the Borrmann triangle (transmission geometry) 317 --
12.8 Geometrical properties of wavefield trajectories within the Borrmann triangle 323 --
12.9 Experimental proof of double refraction 324 --
12.10 Experimental observation of the separation of the wavefield paths 326 --
12.11 Fresnel diffraction near the Bragg incidence 335 --
12.12 Ray tracing in finite crystals 339 --
12.13 Coherence of extended, non-strictly monochromatic sources 349 --
III Extension of the dynamical theory to deformed crystals 353 --
13 Ray tracing in slightly deformed crystals 355 --
13.1 X-ray propagation in deformed materials 355 --
13.2 Effective misorientation 357 --
13.3 Polarizability of a deformed crystal 363 --
13.4 Eikonal approximation 363 --
13.5 Ray trajectories 368 --
13.6 Case of a constant strain gradient 375 --
13.7 Diffracted intensities--plane-wave case 386 --
13.8 Diffracted intensities--spherical-wave case 395 --
14 Propagation of X-rays in highly deformed crystals 406 --
14.2 Takagi's equations in a deformed crystal 406 --
14.3 Resolution of Takagi's equations in the deformed crystal case 409 --
14.4 Ray concept applied to highly distorted crystals 421 --
14.5 Statistical dynamical theories 426 --
Appendix Resolution of Takagi's equations in the case of a constant strain gradient using Laplace transforms (Katagawa and Kato 1974) 432 --
IV Applications 435 --
15 X-ray optics 437 --
15.1 X-ray sources 437 --
15.2 Flat monochromators 445 --
15.3 Applications of multiple-crystal arrangements to beam conditioning 456 --
15.4 Focusing optics 473 --
15.5 X-ray interferometers 483 --
15.6 Imaging with X-rays 489 --
16 Location of atoms at surfaces and interfaces using X-ray standing waves 495 --
16.2 Theory 498 --
16.3 Bulk crystals 502 --
16.4 Solution to the surface registration problem 504 --
16.5 Thin films and buried interfaces 507 --
16.6 Standing waves in deformedt crystals 510 --
16.7 Standing waves due to specular reflection 511 --
17 X-ray diffraction topography 513 --
17.2 Single-crystal reflection topography (Berg-Barrett technique) 514 --
17.3 Single-crystal transmission topography 520 --
17.4 Double- or multiple-crystal topography 564 --
Appendix 2 Early days of dynamical theory 576.
Titolo della serie: International Union of Crystallography monographs on crystallography, 11.
Responsabilità: André Authier.
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A great work by a famous name ... The book has an additional gift for the reader in the form of the contribution The Early Days of Dynamical Theory by Paul P. Ewald. Current Engineering Practice

 
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