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Journal articles on the topic 'X-Ray Dynamical Diffraction Theory'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Abe, Marina, Ryo Suzuki, Kenichi Kojima, and Masaru Tachibana. "Evaluation of crystal quality of thin protein crystals based on the dynamical theory of X-ray diffraction." IUCrJ 7, no. 4 (2020): 761–66. http://dx.doi.org/10.1107/s2052252520007393.

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Knowledge of X-ray diffraction in macromolecular crystals is important for not only structural analysis of proteins but also diffraction physics. Dynamical diffraction provides evidence of perfect crystals. Until now, clear dynamical diffraction in protein crystals has only been observed in glucose isomerase crystals. We wondered whether there were other protein crystals with high quality that exhibit dynamical diffraction. Here we report the observation of dynamical diffraction in thin ferritin crystals by rocking-curve measurement and imaging techniques such as X-ray topography. It is genera

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2

Macrander, Albert. "Takagi–Taupin dynamical X-ray diffraction simulations of asymmetric X-ray diffraction from crystals: the effects of surface undulations." Journal of Applied Crystallography 53, no. 3 (2020): 793–99. http://dx.doi.org/10.1107/s1600576720005178.

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Dynamical X-ray diffraction simulations from crystals with surface undulations are reported. The Takagi–Taupin equations are applied and used to derive results in good agreement with experimental data reported in a separate paper [Macrander, Pereira, Huang, Kasman, Qian, Wojcik & Assoufid (2020). J. Appl. Cryst. 53, 789–792]. The development of Uragami [J. Phys. Soc. Jpn, (1969), 27, 147–154] is followed. Although previous work by Olekhnovich & Olekhnovich [Acta. Cryst. (1980), A36, 22–27] treated a crystal in the shape of a round cylinder, there do not seem to be any reports of previo

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3

Fewster, Paul F. "The Limits of X-ray Diffraction Theory." Crystals 13, no. 3 (2023): 521. http://dx.doi.org/10.3390/cryst13030521.

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X-ray diffraction theory allows the interpretation of experiments to build a structural model that fits the collected data. As with any experimental science, the observations are subject to uncertainty through the instrument and user limitations. Similarly, the theory can never be perfectly complete; it will have limits, and therefore the resultant model will have uncertainties associated with it. This article discusses the limits of X-ray kinematical and dynamical diffraction theories. These are not the only theories, but are the most widely used. These theories are often extended to accommod

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4

Balyan, Minas K. "X-ray dynamical diffraction analogues of the integer and fractional Talbot effects." Journal of Synchrotron Radiation 26, no. 5 (2019): 1650–59. http://dx.doi.org/10.1107/s1600577519009196.

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The X-ray integer and fractional Talbot effect is studied under two-wave dynamical diffraction conditions in a perfect crystal, for the symmetrical Laue case of diffraction. The fractional dynamical diffraction Talbot effect is studied for the first time. A theory of the dynamical diffraction integer and fractional Talbot effect is given, introducing the dynamical diffraction comb function. An expression for the dynamical diffraction polarization-sensitive Talbot distance is established. At the rational multiple depths of the Talbot depth the wavefield amplitude for each dispersion branch is a

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5

Yan, Hanfei, Hyon Chol Kang, Ray Conley, et al. "Multilayer Laue Lens: A Path Toward One Nanometer X-Ray Focusing." X-Ray Optics and Instrumentation 2010 (December 8, 2010): 1–10. http://dx.doi.org/10.1155/2010/401854.

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The multilayer Laue lens (MLL) is a novel diffractive optic for hard X-ray nanofocusing, which is fabricated by thin film deposition techniques and takes advantage of the dynamical diffraction effect to achieve a high numerical aperture and efficiency. It overcomes two difficulties encountered in diffractive optics fabrication for focusing hard X-rays: (1) small outmost zone width and (2) high aspect ratio. Here, we will give a review on types, modeling approaches, properties, fabrication, and characterization methods of MLL optics. We show that a full-wave dynamical diffraction theory has bee

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6

Podorov, S. G., N. N. Faleev, K. M. Pavlov, D. M. Paganin, S. A. Stepanov, and E. Förster. "A new approach to wide-angle dynamical X-ray diffraction by deformed crystals." Journal of Applied Crystallography 39, no. 5 (2006): 652–55. http://dx.doi.org/10.1107/s0021889806025696.

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A new approach is proposed for X-ray dynamical diffraction theory in distorted crystals. The theory allows one to perform dynamical diffraction simulations between Bragg peaks for non-ideal crystals, using a simple approach of two distorted waves. It can be directly applied for reciprocal-space simulation. The formalism is used to analyse high-resolution X-ray diffraction data, obtained for an InSb/InGaSb/InSb/InAs superlattice grown on top of a GaSb buffer layer on a (001) GaSb substrate.

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7

Chung, Jin-Seok, and Stephen M. Durbin. "Temperature-dependent X-ray dynamical diffraction: Darwin theory simulations." Acta Crystallographica Section A Foundations of Crystallography 55, no. 1 (1999): 14–19. http://dx.doi.org/10.1107/s0108767398006898.

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Thermal vibrations destroy the perfect crystalline periodicity generally assumed by dynamical diffraction theories. This can lead to some difficulty in deriving the temperature dependence of X-ray reflectivity from otherwise perfect crystals. This difficulty is overcome here in numerical simulations based on the extended Darwin theory, which does not require periodicity. Using Si and Ge as model materials, it is shown how to map the lattice vibrations derived from measured phonon dispersion curves onto a suitable Darwin model. Good agreement is observed with the usual Debye–Waller behavior pre

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8

Punegov, Vasily I. "The dynamical theory of diffraction in a crystal modulated by a surface acoustic wave in the case of spatially restricted X-ray beams." Journal of Applied Crystallography 52, no. 6 (2019): 1289–98. http://dx.doi.org/10.1107/s1600576719012603.

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The dynamical theory of X-ray diffraction in a crystal modulated by a surface acoustic wave (SAW) is developed for spatially restricted beams. It is shown that this approach is applicable to X-ray reciprocal space mapping. Rayleigh's surface-wave model is used to describe ultrasonic excitation. Based on the recurrent relations, a numerical simulation of the dynamical diffraction in a crystal modulated by a SAW is performed. Within the framework of the triple-axis diffraction scheme, the effect of the instrumental function on X-ray diffraction data is studied.

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9

Magalhães, S., J. S. Cabaço, J. P. Araújo, and E. Alves. "Multiple reflection optimization package for X-ray diffraction." CrystEngComm 23, no. 18 (2021): 3308–18. http://dx.doi.org/10.1039/d1ce00204j.

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10

Ohler, Michael, and Jürgen Härtwig. "Theory of moiré fringes on X-ray diffraction topographs of bicrystals." Acta Crystallographica Section A Foundations of Crystallography 55, no. 3 (1999): 413–22. http://dx.doi.org/10.1107/s0108767398010514.

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The theory of moiré fringes on X-ray diffraction topographs of bicrystals is derived from the dynamical theory of X-ray diffraction for the reflection (Bragg) and the transmission (Laue) case. The influence on the moiré fringes of the diffraction geometry, of the geometry of the sample, of its optical properties and of the topographic method is investigated. The perfect-crystal theory is also expanded to weakly deformed bicrystals.

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11

Mendenhall, Marcus H., David Black, Donald Windover, and James P. Cline. "Polarization effects of X-ray monochromators modeled using dynamical scattering theory." Acta Crystallographica Section A Foundations and Advances 77, no. 4 (2021): 262–67. http://dx.doi.org/10.1107/s2053273321003879.

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The difference in the diffracted intensity of the σ- and π-polarized components of an X-ray beam in powder diffraction has generally been treated according to equations based on dipole scattering, also known as kinematic X-ray scattering. Although this treatment is correct for powders and post-sample analyzers known to be of high mosaicity, it does not apply to systems configured with nearly perfect crystal incident-beam monochromators. Equations are presented for the polarization effect, based on dynamical diffraction theory applied to the monochromator crystal. The intensity of the π compone

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12

Liu, Wen-Chung, Yi-Hua Chiu, Ying-Yu Kung, et al. "Revisiting La0.5Sr1.5MnO4lattice distortion and charge ordering with multi-beam resonant diffraction." Acta Crystallographica Section A Foundations and Advances 73, no. 1 (2017): 46–53. http://dx.doi.org/10.1107/s2053273316013759.

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Sinusoidal wave type distortions of La0.5Sr1.5MnO4in the low-temperature orthorhombic phase were observed using multi-beam resonant X-ray diffraction (MRXD) with (7/4 7/4 0) fractional primary diffraction. Two four-beam diffractions with opposite asymmetry were measured at 6.5545 keV and compared with the curves simulated by the dynamical X-ray diffraction theory. This approach provides the possibility of resolving the distortion modes which are perpendicular to the momentum transfer by a single azimuthal scan. The paper also demonstrates the sensitivity of MRXD profilesversusincident X-ray en

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13

Fewster, Paul F. "Estimating the structure factors in X-ray diffraction." Acta Crystallographica Section A Foundations and Advances 74, no. 5 (2018): 481–98. http://dx.doi.org/10.1107/s2053273318007593.

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This article takes the concepts of the `new diffraction theory' [Fewster (2014). Acta Cryst. A70, 257–282] and examines the implications for the interpretation of experimental results and the estimation of structure factors. Further experimental evidence is included to justify the conclusions in the theory, showing that the residual intensity at twice the Bragg angle is a diffraction effect and not associated with the crystal shape. This `enhancement' effect is independent of whether kinematical or dynamical theories are applied and can lead to a clearer understanding of how the dynamical effe

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14

H.K.H. "P.P. Ewald and his dynamical theory of x-ray diffraction." Materials Research Bulletin 28, no. 6 (1993): 616. http://dx.doi.org/10.1016/0025-5408(93)90059-m.

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15

Punegov, Vasily I., Konstantin M. Pavlov, Andrey V. Karpov, and Nikolai N. Faleev. "Applications of dynamical theory of X-ray diffraction by perfect crystals to reciprocal space mapping." Journal of Applied Crystallography 50, no. 5 (2017): 1256–66. http://dx.doi.org/10.1107/s1600576717010123.

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The classical dynamical theory of X-ray diffraction is expanded to the special case of transversely restricted wavefronts of the incident and reflected waves. This approach allows one to simulate the two-dimensional coherently scattered intensity distribution centred around a particular reciprocal lattice vector in the so-called triple-crystal diffraction scheme. The effect of the diffractometer's instrumental function on X-ray diffraction data was studied.

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16

Yamazaki, Hiroshi, and Tetsuya Ishikawa. "X-ray interferometer using wavefront division." Journal of Applied Crystallography 36, no. 2 (2003): 213–19. http://dx.doi.org/10.1107/s002188980202263x.

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The properties of an X-ray Laue-case wavefront-dividing interferometer have been analysed using time-dependent dynamical diffraction theory. The visibility and the fringe spacing of the interference pattern depend both on the coherence function of the isochronous wavefields on the entrance surface of the interferometer and the spreads of the wavefields into Borrmann fans in the Laue plates. Interference patterns for partially coherent incident X-rays were observed experimentally. The changes of the visibility and of the fringe spacing with respect to the coherence length of the incident X-rays

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17

Hirano, Keiichi, and Atsushi Momose. "Investigation of the phase shift in X-ray forward diffraction using an X-ray interferometer." Journal of Synchrotron Radiation 5, no. 3 (1998): 967–68. http://dx.doi.org/10.1107/s0909049597015525.

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The phase shift of forward-diffracted X-rays by a perfect crystal is discussed on the basis of the dynamical theory of X-ray diffraction. By means of a triple Laue-case X-ray interferometer, the phase shift of forward-diffracted X-rays by a silicon crystal in the Bragg geometry was investigated.

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18

Fewster, Paul F. "A new theory for X-ray diffraction." Acta Crystallographica Section A Foundations and Advances 70, no. 3 (2014): 257–82. http://dx.doi.org/10.1107/s205327331400117x.

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This article proposes a new theory of X-ray scattering that has particular relevance to powder diffraction. The underlying concept of this theory is that the scattering from a crystal or crystallite is distributed throughout space: this leads to the effect that enhanced scatter can be observed at the `Bragg position' even if the `Bragg condition' is not satisfied. The scatter from a single crystal or crystallite, in any fixed orientation, has the fascinating property of contributing simultaneously to many `Bragg positions'. It also explains why diffraction peaks are obtained from samples with

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19

Rodriguez-Fernandez, A., V. Esposito, D. F. Sanchez, et al. "Spatial displacement of forward-diffracted X-ray beams by perfect crystals." Acta Crystallographica Section A Foundations and Advances 74, no. 2 (2018): 75–87. http://dx.doi.org/10.1107/s2053273318001419.

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Time-delayed, narrow-band echoes generated by forward Bragg diffraction of an X-ray pulse by a perfect thin crystal are exploited for self-seeding at hard X-ray free-electron lasers. Theoretical predictions indicate that the retardation is strictly correlated to a transverse displacement of the echo pulses. This article reports the first experimental observation of the displaced echoes. The displacements are in good agreement with simulations relying on the dynamical diffraction theory. The echo signals are characteristic for a given Bragg reflection, the structure factor and the probed interp

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20

Muniz, Francisco Tiago Leitão, Marcus Aurélio Ribeiro Miranda, Cássio Morilla dos Santos, and José Marcos Sasaki. "The Scherrer equation and the dynamical theory of X-ray diffraction." Acta Crystallographica Section A Foundations and Advances 72, no. 3 (2016): 385–90. http://dx.doi.org/10.1107/s205327331600365x.

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The Scherrer equation is a widely used tool to determine the crystallite size of polycrystalline samples. However, it is not clear if one can apply it to large crystallite sizes because its derivation is based on the kinematical theory of X-ray diffraction. For large and perfect crystals, it is more appropriate to use the dynamical theory of X-ray diffraction. Because of the appearance of polycrystalline materials with a high degree of crystalline perfection and large sizes, it is the authors' belief that it is important to establish the crystallite size limit for which the Scherrer equation c

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21

Hoser, Anna A., and Anders Ø. Madsen. "Dynamic quantum crystallography: lattice-dynamical models refined against diffraction data. I. Theory." Acta Crystallographica Section A Foundations and Advances 72, no. 2 (2016): 206–14. http://dx.doi.org/10.1107/s2053273315024699.

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This study demonstrates and tests the refinement of a lattice-dynamical model derived from periodicab initiocalculations at the Γ point against elastic diffraction data (X-ray or neutron). Refinement of only a handful of parameters is sufficient to obtain a similar agreement with the data as the conventional crystallographic model using anisotropic displacement parameters. By refinement against X-ray data, H displacement parameters are obtained which compare favourably with those from neutron diffraction experiments. The approach opens the door for evaluating thermodynamic properties, and for

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22

Wagenfeld, H. K. "Comments on the Dynamical Theory of X-Ray Diffraction in Crystals." Zeitschrift für Naturforschung A 50, no. 9 (1995): 813–16. http://dx.doi.org/10.1515/zna-1995-0904.

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Abstract Von Laue reformulated Ewald's dynamical theory of X-ray diffraction in crystals by solving Maxwell's equations for an electric susceptibility which has the periodicity of the crystals lattice. Absorption was in the original paper not included. Kohler showed that in this case the electric susceptibility is directly proportional to the electron charge density within the crystal. Von Laue assumed that the divergence of the electric field vector E is equal to the electron charge density which is excited by the electromagnetic field, and this is in accordance with Lorentz' classical electr

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23

Okitsu, Kouhei. "X-ray Takagi–Taupin dynamical theory generalized ton-beam diffraction cases." Acta Crystallographica Section A Foundations of Crystallography 59, no. 3 (2003): 235–44. http://dx.doi.org/10.1107/s0108767303005208.

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24

Molodkin, V. B., S. I. Olikhovskii, E. N. Kislovskii, et al. "Dynamical theory of X-ray diffraction by multilayered structures with microdefects." physica status solidi (a) 204, no. 8 (2007): 2606–12. http://dx.doi.org/10.1002/pssa.200675686.

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25

Shreeman, P. K., K. A. Dunn, S. W. Novak, and R. J. Matyi. "Modified statistical dynamical diffraction theory: analysis of model SiGe heterostructures." Journal of Applied Crystallography 46, no. 4 (2013): 912–18. http://dx.doi.org/10.1107/s0021889813011308.

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A modified version of the statistical dynamical diffraction theory (mSDDT) permits full-pattern fitting of high-resolution X-ray diffraction scans from thin-film systems across the entire range from fully dynamic to fully kinematic scattering. The mSDDT analysis has been applied to a set of model SiGe/Si thin-film samples in order to define the capabilities of this approach. For defect-free materials that diffract at the dynamic limit, mSDDT analyses return structural information that is consistent with commercial dynamical diffraction simulation software. As defect levels increase and the dif

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26

Zaus, R. "An improved deviation parameter for the simulation of dynamical X-ray diffraction on epitaxic heterostructures." Journal of Applied Crystallography 26, no. 6 (1993): 801–11. http://dx.doi.org/10.1107/s0021889893005643.

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X-ray diffraction rocking curves of a strained-layer superlattice structure have been measured at symmetric and asymmetric Bragg reflections and compared with simulated diffraction curves. The calculations are based on dynamical scattering theory. The experimental and theoretical curves exhibit a discrepancy with regard to the angular position of the higher-order satellite reflections, which can be removed by introducing a new expression for the deviation parameter in the dynamical diffraction theory. The improved deviation parameter extends the range of validity of the two-beam approximation,

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27

Khanbabaee, B., A. Biermanns, S. Facsko, J. Grenzer, and U. Pietsch. "Depth profiling of Fe-implanted Si(100) by means of X-ray reflectivity and extremely asymmetric X-ray diffraction." Journal of Applied Crystallography 46, no. 2 (2013): 505–11. http://dx.doi.org/10.1107/s0021889813004597.

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This article reports on surface density variations that are accompanied by ion-beam-induced pattern formation processes on Si. The density profiles perpendicular to Si(100) surfaces were investigated after off-normal implantation with 5 keV Fe+ions at fluences ranging from 1 × 1016to 5 × 1017 ions cm−2. Ripple formation was observed for ion fluences above 1 × 1016 ions cm−2. X-ray reflectivity (XRR) revealed the formation of a nanometre subsurface layer with incorporated Fe. Using XRR, no major dependence of the surface density on the ion fluence could be found. In order to improve the surface

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28

Meduna, Mojmir, Ondřej Caha, Jiri Ruzicka, Silvie Bernatovà, Milan Svoboda, and Jiří Buršík. "Oxygen Precipitation Studied by X-Ray Diffraction Techniques." Solid State Phenomena 178-179 (August 2011): 325–30. http://dx.doi.org/10.4028/www.scientific.net/ssp.178-179.325.

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We report on study of oxygen precipitates grown in Czochralski silicon wafers investigated by x-ray diffraction in Bragg reflection geometry and Laue transmission geometry. The analysis of diffraction curves in Laue geometry was done using Takagi equations and statistical dynamical theory of diffraction. These techniques allow us to determine as the radius of defect area as the defect concentrations from measurement in Laue geometry. These results obtained on silicon wafers exposed to two-step and three-step treatments were compared with other experimental techniques including transmission ele

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29

Hrdý, J. "X-ray Inclined Lens." Journal of Synchrotron Radiation 5, no. 4 (1998): 1206–10. http://dx.doi.org/10.1107/s0909049598002155.

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As defined here, the term `inclined lens' means a longitudinal parabolic groove fabricated into a crystal monochromator. If properly designed, it should provide the horizontal (sagittal) focusing of an X-ray beam. The focusing is based on the sagittal deviation of the beam diffracted on the wall of the groove. This effect follows from the dynamical theory of inclined diffraction. The focusing efficiency is limited compared with other methods. On the other hand, the simplicity is the main advantage of this device. The exact shape of the groove is calculated and several methods of keeping the ve

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Suzuki, Ryo, Haruhiko Koizumi, Keiichi Hirano, Takashi Kumasaka, Kenichi Kojima, and Masaru Tachibana. "Analysis of oscillatory rocking curve by dynamical diffraction in protein crystals." Proceedings of the National Academy of Sciences 115, no. 14 (2018): 3634–39. http://dx.doi.org/10.1073/pnas.1720098115.

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High-quality protein crystals meant for structural analysis by X-ray diffraction have been grown by various methods. The observation of dynamical diffraction in protein crystals is an interesting topic because dynamical diffraction generally occurs in perfect crystals such as Si crystals. However, to our knowledge, there is no report yet on protein crystals showing clear dynamical diffraction. We wonder whether the perfection of protein crystals might still be low compared with that of high-quality Si crystals. Here, we present observations of the oscillatory profile of rocking curves for prot

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31

Rez, Peter. "Schemes to determine the crystal potential under dynamical conditions using voltage variation." Acta Crystallographica Section A Foundations of Crystallography 55, no. 2 (1999): 160–67. http://dx.doi.org/10.1107/s0108767398008630.

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Charge densities and crystal structures can be determined routinely from X-ray diffraction as X-ray scattering is relatively weak and single scattering can be assumed. The strong dynamical diffraction of high-energy electrons has prevented electron diffraction from being used in the same way. Dynamical diffraction describes both the propagation of the Bragg diffracted wave in the crystal and the scattering by the crystal potential. The balance between these two processes changes as a function of voltage due to relativistic effects. The difference in diffracted intensities recorded at two volta

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Punegov, Vasily I., Yakov I. Nesterets, and Dmitry V. Roshchupkin. "Coherent and diffuse X-ray scattering in crystals modulated by a surface acoustic wave." Journal of Applied Crystallography 43, no. 3 (2010): 520–30. http://dx.doi.org/10.1107/s0021889810012197.

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Equations describing the coherent and diffuse scattering in a crystal modulated by a surface acoustic wave (SAW) are derived using the dynamical X-ray diffraction theory. The effect of depth attenuation of the Rayleigh surface wave amplitude on the crystal rocking curve profiles is investigated. Results of the numerical simulation of the dynamical diffraction in a mosaic crystal modulated by a SAW, taking into account a block size distribution, are presented. It is shown that the diffuse scattering is distributed in the reciprocal space not only in the vicinity of the main diffraction peak but

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Kolosov, S., and V. Punegov. "Dynamical theory of X-ray diffraction in crystals based on two-dimensional recurrent relations." Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences, no. 4 (September 21, 2023): 88–90. http://dx.doi.org/10.19110/1994-5655-2023-4-88-90.

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Using two-dimensional recurrence relations, a description of dynamical X-ray diffraction in crystals is presented. It is shown that this approach makes it possible to calculate Xray fields inside the crystal and reciprocal space maps.

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JIANG, S. S., and Y. QIU. "THE SIMULATION OF MODULATED PENDELLÖSUNG FRINGES OF PERFECT CRYSTALS FOR SPHERICAL X-RAY WAVE." Modern Physics Letters B 03, no. 04 (1989): 319–23. http://dx.doi.org/10.1142/s0217984989000510.

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The modulation in Pendellösung fringe visibility in perfect crystal is due to the interference between σ and π polarization states of X-ray wave. It is simulated by superposition of two polarization states by computer based on spherical X-ray wave dynamical theory and compared with fringe pattern on X-ray diffraction section topograph. It is found that the agreement between experimental result and theoretical calculation is satisfactory.

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Liu, Wen-Chung, Yi-Hua Chiu, Po-Yu Liao, et al. "Study La0.5Sr1.5MnO4with Multi-Beam X-ray Diffraction." Acta Crystallographica Section A Foundations and Advances 70, a1 (2014): C391. http://dx.doi.org/10.1107/s2053273314096089.

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We have used resonant multi-beam diffraction with the primary reflections G=(h/2 h/2 0) and G=(h/4 h/4 0) (h is an odd number) to investigate the charge ordering and Jahn-Teller distortion, respectively, in La0.5Sr1.5MnO4 low temperature phase. While the Renninger scans with G=(h/2 h/2 0) shows several Aulfhellung-type four-beam diffraction, most of the multi-beam diffraction with G=(h/4 h/4 0) has an Umweganregung-type nature. A detailed study of multi-beam diffraction anomalous fine structure (M-DAFS) of (0 0 0)/(3/2 3/2 0)/(1 -1 0)/(5/2 1/2 0) OUT diffraction is carried out. Its triplet inv

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La Rocca, G. C., L. Tapfer, R. Cingolani, and K. Ploog. "X-ray-diffraction spectra of deterministic nonperiodic structures: Dynamical versus kinematical theory." Physical Review B 45, no. 21 (1992): 12198–201. http://dx.doi.org/10.1103/physrevb.45.12198.

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Oreshko, A. P. "Dynamical theory of the resonant X-ray diffraction in coplanar Bragg geometry." Crystallography Reports 59, no. 1 (2014): 6–13. http://dx.doi.org/10.1134/s1063774514010106.

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38

Colella, R. "Truncation-rod scattering: Analysis by the dynamical theory of x-ray diffraction." Physical Review B 43, no. 17 (1991): 13827–32. http://dx.doi.org/10.1103/physrevb.43.13827.

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Gau, Tsai-Sheng, and Shih-Lin Chang. "Solving the intensity problem of surface X-ray diffraction using dynamical theory." Physics Letters A 196, no. 1-2 (1994): 223–28. http://dx.doi.org/10.1016/0375-9601(94)91075-8.

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Gau, Tsai-Sheng, and Shih-Lin Chang. "Solving the intensity problem of surface X-ray diffraction using dynamical theory." Physics Letters A 196, no. 3-4 (1994): 223–28. http://dx.doi.org/10.1016/0375-9601(94)91230-0.

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Takahashi, Toshio, and Shinichiro Nakatani. "Dynamical theory of X-ray diffraction for the study of crystal surfaces." Surface Science 326, no. 3 (1995): 347–60. http://dx.doi.org/10.1016/0039-6028(94)00792-6.

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42

Vadilonga, Simone, Ivo Zizak, Dmitry Roshchupkin, et al. "Observation of sagittal X-ray diffraction by surface acoustic waves in Bragg geometry." Journal of Applied Crystallography 50, no. 2 (2017): 525–30. http://dx.doi.org/10.1107/s1600576717002977.

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X-ray Bragg diffraction in sagittal geometry on a Y-cut langasite crystal (La3Ga5SiO14) modulated by Λ = 3 µm Rayleigh surface acoustic waves was studied at the BESSY II synchrotron radiation facility. Owing to the crystal lattice modulation by the surface acoustic wave diffraction, satellites appear. Their intensity and angular separation depend on the amplitude and wavelength of the ultrasonic superlattice. Experimental results are compared with the corresponding theoretical model that exploits the kinematical diffraction theory. This experiment shows that the propagation of the surface acou

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Lima, A. N. C., M. A. R. Miranda, and J. M. Sasaki. "X-ray diffraction in superabsorbing crystals: absorption intrinsic width." Acta Crystallographica Section A Foundations and Advances 75, no. 5 (2019): 772–76. http://dx.doi.org/10.1107/s2053273319009732.

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The several mathematical formulations of X-ray diffraction theory facilitate its understanding and use as a materials characterization technique, since one can opt for the simplest formulation that adequately describes the case being studied. As synchrotrons advance, new techniques are developed and there is a need for simple formulations to describe them. One of these techniques is soft resonant X-ray diffraction, in which the X-rays suffer large attenuation due to absorption. In this work, an expression is derived for the X-ray diffraction profiles of reflections where the linear absorption

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Molodkin, V. B., S. I. Olikhovskii, S. V. Dmitriev, and V. V. Lizunov. "Dynamical effects in the integrated X-ray scattering intensity from imperfect crystals in Bragg diffraction geometry. II. Dynamical theory." Acta Crystallographica Section A Foundations and Advances 77, no. 5 (2021): 433–52. http://dx.doi.org/10.1107/s2053273321005775.

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The analytical expressions for coherent and diffuse components of the integrated reflection coefficient are considered in the case of Bragg diffraction geometry for single crystals containing randomly distributed microdefects. These expressions are analyzed numerically for the cases when the instrumental integration of the diffracted X-ray intensity is performed on one, two or three dimensions in the reciprocal-lattice space. The influence of dynamical effects, i.e. primary extinction and anomalously weak and strong absorption, on the integrated intensities of X-ray scattering is investigated

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Molodkin, V. B., S. I. Olikhovskii, and A. N. Kostyuk. "Dynamical theory of X-ray diffraction by elastically bent crystals with microdefects. II. Diffraction intensity." physica status solidi (b) 183, no. 1 (1994): 59–72. http://dx.doi.org/10.1002/pssb.2221830103.

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Feng, Hao, Rana Ashkar, Nina Steinke, et al. "Grating-based holographic diffraction methods for X-rays and neutrons: phase object approximation and dynamical theory." Journal of Applied Crystallography 51, no. 1 (2018): 68–75. http://dx.doi.org/10.1107/s1600576717016867.

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A method dubbed grating-based holography was recently used to determine the structure of colloidal fluids in the rectangular grooves of a diffraction grating from X-ray scattering measurements. Similar grating-based measurements have also been recently made with neutrons using a technique called spin-echo small-angle neutron scattering. The analysis of the X-ray diffraction data was done using an approximation that treats the X-ray phase change caused by the colloidal structure as a small perturbation to the overall phase pattern generated by the grating. In this paper, the adequacy of this we

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Molodkin, V. B., S. I. Olikhovskii, S. V. Dmitriev, A. I. Nizkova, and V. V. Lizunov. "Dynamical effects in the integrated X-ray scattering intensity from imperfect crystals in Bragg diffraction geometry. I. Semi-dynamical model." Acta Crystallographica Section A Foundations and Advances 76, no. 1 (2020): 45–54. http://dx.doi.org/10.1107/s2053273319014281.

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The analytical expressions for the coherent and diffuse components of the integrated reflection coefficient are considered in the case of asymmetric Bragg diffraction geometry for a single crystal of arbitrary thickness, which contains randomly distributed Coulomb-type defects. The possibility to choose the combinations of diffraction conditions optimal for characterizing defects of several types by accounting for dynamical effects in the integrated coherent and diffuse scattering intensities, i.e. primary extinction and anomalous absorption, has been analysed based on the statistical dynamica

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Chen, Hsin-Yi, Mau-Sen Chiu, Chia-Hung Chu та Shih-Lin Chang. "An algorithm for calculating diffraction profiles of 2θ scans for multiple diffraction from crystals and thin films". Acta Crystallographica Section A Foundations and Advances 70, № 6 (2014): 572–82. http://dx.doi.org/10.1107/s2053273314015113.

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An algorithm is developed based on the dynamical theory of X-ray diffraction for calculating the profiles of the diffracted beam,i.e.the diagrams of the intensity distributionversus2θ when a crystal is fixed at an angle of its maximum diffracted intensity. Similar to Fraunhofer (far-field) diffraction for a single-slit case, in the proposed algorithm the diffracted beam from one atomic layer excited by X-rays is described by the composition of (N+ 1) coherent point oscillators in the crystal. The amplitude and the initial phase of the electric field for each oscillator can be calculated based

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Palatinus, Lukáš, Václav Petříček, and Cinthia Antunes Corrêa. "Structure refinement using precession electron diffraction tomography and dynamical diffraction: theory and implementation." Acta Crystallographica Section A Foundations and Advances 71, no. 2 (2015): 235–44. http://dx.doi.org/10.1107/s2053273315001266.

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Accurate structure refinement from electron-diffraction data is not possible without taking the dynamical-diffraction effects into account. A complete three-dimensional model of the structure can be obtained only from a sufficiently complete three-dimensional data set. In this work a method is presented for crystal structure refinement from the data obtained by electron diffraction tomography, possibly combined with precession electron diffraction. The principle of the method is identical to that used in X-ray crystallography: data are collected in a series of small tilt steps around a rotatio

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Berreman, D. W., and A. T. Macrander. "Dynamic Theory of Asymetric X-Ray Diffraction for Strained Crystal Wafers." Advances in X-ray Analysis 31 (1987): 161–65. http://dx.doi.org/10.1154/s0376030800021959.

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A very accurate 8X8 matrix approach to dynamical theory of X-ray diffraction in which fewer approximations are made than in the classic vonLaue approach, is described here. The method is related to the very general matrix method of Kokushima and Yamakito, and is particularly suited to numerical solution with a computer. It can be used to solve problems in ideal, undistorted crystals with high precision even at near grazing incidence without special consideration of refraction or external reflection. It is also easy to apply to problems where periodicity of oblique Bragg planes varies in the di

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