In 1962, Bienenstock and Ewald described the classification of crystalline space groups algebraically in the dual, or Fourier, space. After the discovery of quasicrystals in 1984, Mermin and collaborators recognized in this description the principle of macroscopic indistinguishability and developed techniques that have since been applied to quasicrystals, including also periodic and incommensur...

Particle shape plays a crucial role in determining packing characteristics. Real particles in nature usually have rounded corners. In this work, we systematically investigate the rounded corner effect on the dense packings of spherotetrahedral particles. The evolution of dense packing structure as the particle shape continuously deforms from a regular tetrahedron to a sphere is investigated, st...

We study the properties of one-dimensional Fibonacci chain, subjected to placement on-site impurities. The resulting disruption quasiperiodicity can be classified in terms renormalization path site at which impurity is placed, greatly reduces possible amount disordered behavior that impurities induce. Moreover, it found that, some extent, addition multiple weak treated by superposing individual...

Personalized Healthcare In article 2202173 by Jun-ho Jeong and co-workers, the dodecagonal quasicrystal patterned (DQP) lens for 2D focusing of ultrasound is developed, integrated into mobile (MU2F) system improved high intensity focused (HIFU) system. The developed proved its advanced applicability being utilized in personalized healthcare based on microneedle-based drug delivery

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...