The influence of surface plasmons on the magneto-optic activity in a two-dimensional hexagonal array is addressed. The experiments were performed using hexagonal array of circular holes in a ferromagnetic Ni film. Well pronounced troughs are observed in the optical reflectivity, resulting from the presence of surface plasmons. The surface plasmons are found to strongly enhance the magneto-optic...

The structure and dynamics of penta-hepta defects (PHD’s) in hexagonal patterns are studied in the framework of coupled amplitude equations for the underlying plane waves. An analytical solution for the phase field of moving PHD is found in the far field, which generalizes the static solution due to Pismen and Nepomnyashchy. The mobility tensor of the PHD is calculated using a combined analytic...

The hexagonal and cubic ions of dhcp Pr constitute two non-magnetic singlet-ground-state systems, which are coupled only weakly. However, the two-ion coupling between the hexagonal ions is just below the critical value at which an antiferromagnetic ordered phase becomes energetically favoured at low temperatures. This makes the system very sensitive to external influences (magnetic field, uniax...

Using classical molecular dynamics with a more reliable reactive LCBOPII potential, we have performed a detailed study on the direct graphite-to-diamond phase transition. Our results reveal a new so-called "wave-like buckling and slipping" mechanism, which controls the transformation from hexagonal graphite to cubic diamond. Based on this mechanism, we have explained how polycrystalline cubic d...

The mammalian hippocampal formation provides neuronal representations of environmental location but the underlying mechanisms are unclear. The majority of cells in medial entorhinal cortex and parasubiculum show spatially periodic firing patterns. Grid cells exhibit hexagonal symmetry and form an important subset of this more general class. Occasional changes between hexagonal and non-hexagonal...

This work describes the adaptive antenna array concept with seven patch elements in a hexagonal arrangement. With this structure it is possible to configure the radiation pattern to obtain directional patterns with high directivity and gain. The software IE3D, from ZELAND, was used to optimize and analyze the antenna array for applications at 1.9GHz. The return loss results and radiation patter...

This paper aims to present an advanced version of PP-hardness proof of Minesweeper by Bondt [1]. The advancement includes improvedMinesweeper configurations for ‘logic circuits’ in a hexagonal Minesweeper. To do so, I demonstrate logical uncertainty in Minesweeper, which ironically allows a possibility to make some Boolean operators. The fact that existing hexagonal logic circuits did not clear...

Copyright c © International Union of Crystallography Author(s) of this paper may load this reprint on their own web site or institutional repository provided that this cover page is retained. Republication of this article or its storage in electronic databases other than as specified above is not permitted without prior permission in writing from the IUCr. For further information see http://jou...

We present a novel and robust algorithm for triangulating point clouds in R. It is based on a highly adaptive hexagonal subdivision scheme of the input domain. That hexagon mesh has a dual triangular mesh with the following properties: • any angle of any triangle lies in the range between 43.9◦ and 90◦, • the aspect ratio of triangles is bound to 1.20787, • the triangulation has the Delaunay pr...

Our graphene plasmonic crystals are realized by creating hexagonal lattices of apertures in continuous graphene media. The hexagonal lattice—whether its aperture is circularly or hexagonally shaped—possesses the C6v point group symmetry with 6-fold rotation axes and 6 reflection planes; see Fig. S1 in case of the hexagonal lattice with circular apertures. Following the crystallographic conventi...