Quasicrystal: A Beautiful Morphology and Diffraction Pattern

Dynamical Three -Beam Diffraction in a Quasicrystal

Multiple Bragg scattering is a source of phase information. A quantity 8 called the triplet invariant can be determined: 8 = ~u + q~r-n q~v, where q~n is the phase of the simultaneous reflection H, P is the main reflection, and P [] is the coupling reflection. Previous experiments on A1-Pd-Mn have always yielded 8 values far from 0 or 180 °, the only values compatible with a centrosymmetric str...

Dynamical x-ray diffraction from an icosahedral quasicrystal.

We present direct evidence of dynamical diffraction of x rays from a quasicrystal. High-resolution x-raydiffraction measurements of the Al-Pd-Mn face-centered icosahedral quasicrystal were performed, revealing a mosaic full width at half maximum of less than 0.001°. In a second experiment, the anomalous transmission of x rays (the Borrmann effect) was observed. These measurements show that near...

Structure Analysis of a Hyper-Complex Approximant to Icosahedral Quasicrystal using 3D Electron Diffraction Tomography

Analyzing the crystal structure of approximants is of vital importance in deriving structural information of building units (or basic clusters) and their arrangements toward icosahedral quasicrystals (IQCs). The acquired knowledge is essential in performing a hyper-space modeling, which is the only feasible way of today to elucidate the structural details of IQC’s. Since approximants are period...

A beautiful mind.

John Forbes Nash, Jr. was a child prodigy. While other boys his age were playing childhood games in their hometown of Bluefield, West Virginia, John was reading E.T. Bell’s Men of Mathematics. Learning more at home than he did at school, the young lad (who was encouraged by his educated parents) was able to solve some of math’s most difficult problems. Accepting a full-ride fellowship to Prince...

Structure and Morphology of Polymer-Stabilized Cholesteric Diffraction Gratings