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Given a Fourier transformable measure in two dimensions, we find a formula for the intensity of its Fourier transform along circles. In particular, we obtain a formula for the diffraction measure along a circle in terms of the…

Classical Analysis and ODEs · Mathematics 2024-05-15 Emily R. Korfanty , Nicolae Strungaru

The polarization of an X-ray beam that produces electrons with velocity components perpendicular to the beam generates an azimuthal distribution of the ejected electrons. We present methods for simulating and for analyzing the angular…

Instrumentation and Methods for Astrophysics · Physics 2015-03-10 C. G. Montgomery , J. H. Swank

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…

Materials Science · Physics 2015-06-24 I. A. Vartanyants , M. V. Kovalchuk

X-ray diffraction was demonstrated from shock-compressed polycrystalline metal on nanosecond time scales. Laser ablation was used to induce shock waves in polycrystalline foils of Be, 25 to 125 microns thick. A second laser pulse was used…

Other Condensed Matter · Physics 2008-01-23 Damian C. Swift

Established x-ray diffraction methods allow for high-resolution structure determination of crystals, crystallized protein structures or even single molecules. While these techniques rely on coherent scattering, incoherent processes like…

Ab initio calculation of dielectric response with high-accuracy electronic structure methods is a long-standing problem, for which mean-field approaches are widely used and electron correlations are mostly treated via approximated…

Chemical Physics · Physics 2024-06-25 Xiang Li , Yubing Qian , Ji Chen

An exact series representation of the even frequency moments of the dynamic structure factor is derived. Truncations are proposed that allow to evaluate the explicitly unknown second, fourth and fifth frequency moments for the finite…

Plasma Physics · Physics 2025-06-13 Panagiotis Tolias , Jan Vorberger , Tobias Dornheim

Incoherent surface scattering yields a statistical description of the surface, due to the ensemble averaging over many independently sampled volumes. Depending on the state of the surface and direction of the scattering vector relative to…

Statistical Mechanics · Physics 2009-11-11 Darren Dale , Aaron Fleet , Y. Suzuki , J. D. Brock

We develop a theory for the trajectory of an x ray in the presence of a crystal deformation. A set of equations of motion for an x-ray wave packet including the dynamical diffraction is derived, taking into account the Berry phase as a…

Materials Science · Physics 2007-05-23 Kei Sawada , Shuichi Murakami , Naoto Nagaosa

One of the most challenging and basic problems in elastic rod dynamics is a description of rods in contact that prevents any unphysical self-intersections. Most previous works addressed this issue through the introduction of short-range…

Chaotic Dynamics · Physics 2013-05-30 François Gay-Balmaz , Vakhtang Putkaradze

Over past decades, high energy X-ray diffraction techniques at synchrotron beamline offer us the unique possibility to follow concomitantly some mechanisms on the grain level in metallic materials. Crystal rotation, as one important factor…

Materials Science · Physics 2024-05-07 Zhida Liang , Emad Maawad , Florian Pyczak

An experiment using a prototype setup to search for the neutron electric dipole moment by measuring spin-rotation in a non-centrosymmetric crystal (quartz) was carried out to investigate statistical sensitivity and systematic effects of the…

Ultrafast electron diffraction/microscopy technique enables us to investigate the nonequilibrium dynamics of crystal structures in the femtosecond-nanosecond time domain. However, the electron diffraction intensities are in general…

Materials Science · Physics 2024-07-10 Toshiya Shiratori , Jumpei Koga , Takahiro Shimojima , Kyoko Ishizaka , Asuka Nakamura

This dissertation is concerned with understanding and analyzing some of the effects of diffraction in the near field. The contributions of homogeneous and of evanescent waves to two-dimensional near-field diffraction patterns of scalar…

Optics · Physics 2007-05-23 Marek W. Kowarz

Crystallization is a fundamental process in materials science, providing the primary route for the realization of a wide range of new materials. Crystallization rates are also considered to be useful probes of glass-forming ability. At the…

Rod-shaped particles embedded in certain matrices have been reported to exhibit an increase in their center of mass diffusivity upon increasing the matrix density. This increase has been considered to be caused by a kinetic constraint in…

Statistical Mechanics · Physics 2023-05-03 Fumiaki Nakai , Martin Kröger , Takato Ishida , Takashi Uneyama , Yuya Doi , Yuichi Masubuchi

We depict the use of x-ray diffraction as a tool to directly probe the strain status in rolled-up semiconductor tubes. By employing continuum elasticity theory and a simple model we are able to simulate quantitatively the strain relaxation…

Materials Science · Physics 2009-11-13 A. Malachias , Ch. Deneke , B. Krause , C. Mocuta , S. Kiravittaya , T. H. Metzger , O. G. Schmidt

We present a new approach for simulating x-ray nanobeam Bragg coherent diffraction patterns based on the Takagi-Taupin equations. Compared to conventional methods, the current approach can be universally applied to any weakly strained…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 T. Zhou , M. J. Cherukara , S. Kandel , M. Allain , N. Hua , O. Shpyrko , Y. Takamura , Z. Cai , S. O. Hruszkewycz , M. V. Holt

We derive four sum-rule expressions for spectra measured in electron energy-loss near edge structure experiments. These sum-rules permit the determination spin and orbital magnetic moments, spin-orbit interaction and number of states,…

Materials Science · Physics 2009-11-13 Ján Rusz , Olle Eriksson , Pavel Novák , Peter M. Oppeneer

Dynamical diffraction effects always play a role when working with perfect single crystals. The penetration of X-rays respect to the surface normal during diffraction (extinction depth, $1/\sigma_e$) in perfect single crystals does not have…

Instrumentation and Detectors · Physics 2021-01-20 Marcelo G. Honnicke , Sergio L. Morelhao