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Dynamical theory of x-ray diffraction

著者: André Authier
出版社: Oxford : Oxford University Press, 2001.
シリーズ: International Union of Crystallography monographs on crystallography, 11.
エディション/フォーマット:   紙書籍 : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
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Dynamical Theory of X-ray Diffraction is the first comprehensive book on the dynamical diffraction of X-rays since the development of synchrotron radiation. The first part provides an introduction to  続きを読む

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資料の種類: インターネット資料
ドキュメントの種類 書籍, インターネット資料
すべての著者/寄与者: André Authier
ISBN: 0198559607 9780198559603
OCLC No.: 45799622
物理形態: xviii, 661 pages : illustrations ; 24 cm.
コンテンツ: 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.
シリーズタイトル: International Union of Crystallography monographs on crystallography, 11.
責任者: 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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