Motivated by the hyperuniformity concept, which has attracted recent attention in physics and materials science, we show that the prime numbers in certain large intervals possess unanticipated order ...

X-ray crystallography, like mass spectroscopy and nuclear spectroscopy, is an extremely useful material characterization technique that is unfortunately hard for amateurs to perform. The physical ...

Electron Diffraction. Description: Electron diffraction patterns for single crystal and polycrystalline materials are displayed on a CRT screen. A Welch model 2639 'Electron Diffraction tube' is used ...

Most of the relevant mathematics has been seen before in other guises. Indeed, when Torquato showed his plots and formulas to de Courcy-Ireland last spring (at the suggestion of Cohn), the young ...

Contains a number of Python scripts for the numerical monochromatization of broadband diffraction patterns. If you want to use it for your work/research, that's great! I have included a jupyter ...

Micro diffraction methods like the Kossel or X-ray rotation tilt techniques generate diffraction patterns consisting of conic sections. Extracting information about lattice parameters, orientation or ...

Recent advances in X-ray free-electron lasers allow capturing of the diffraction pattern from a single nanoparticle before it disintegrates, ... Math. Phys.s 25, 3190–3193 (1984).

Fitting of full X-ray diffraction patterns is an effective method for quantifying abundances during X-ray diffraction (XRD) analyses. The method is based on the principal that the observed diffraction ...

These patterns are a result of the crystal’s atomic lattice, or how symmetrically the atoms are arranged. Related Posts Largest prime number is 22 million digits long.

In this paper, different diffraction theories for estimating the diffraction field patterns modulated by metasurfaces are firstly revisited. Further reformulation of these theories is performed to ...