Using symmetry considerations, we identify three families of large photonic band-gap (PBG) architectures defined by the isointensity surfaces of four beam laser interference. For particular choices of beam intensities, directions, and polarizations, we obtain a diamondlike crystal, a novel body-centered cubic architecture, and a simple cubic structure with PBG to center frequency ratios of 25%,...

In this communication, we report our recent achievement in synthesis and self-assembly of both spherical and cubic PbTe nanocrystals using a high-temperature solution-phase synthesis approach. The possible mechanism of nanocrystalline evolution from spherical to cubic structure has also been discussed. It is possible to use the highly orientated PbTe nanocrystals as building blocks to achieve t...

We demonstrate the construction of diamond photonic crystal structures by the translation of a multi-beam interference pattern. Using phase shift of each beam, the double-exposed interference patterns can be aligned in the [111] direction for a face-centered cubic (FCC) and [210] direction for a body-centered cubic (BCC), respectively, producing diamond D from FCC and BCC-diamond like structure...

The atomic-scale structure of nanocrystalline ZrO2 obtained by ball milling has been studied using highenergy x-ray diffraction and the atomic pair distribution function technique. The studies show that, upon relatively short milling times, the parent crystalline material, monoclinic ZrO2, evolves into a nanocrystalline phase that is locally similar to monoclinic zirconia but shows a cubic-type...

The second–order nonlinearity, and the best quadratic approximations, of Boolean functions are studied in this paper. We prove that cubic functions within the Maiorana–McFarland class achieve very high second order nonlinearity, which is close to an upper bound that was recently proved by Carlet et al., and much higher than the second order nonlinearity obtained by other known constructions. Th...

The crystal structure of the intermediate phases in the binary systems of titanium with iron, cobalt, and nickel has been studied and the results compared with those previously published. The phases of the Ti2X type are face-centered cubic with % atoms per cell, and the TiX phases are body-centered cubic. TiFe, and Tic02 are hexagonal but not isomorphous. The nickel-rich phase has the compositi...

Amorphous and crystalline phases of Ge2Sb2Te5 films are investigated by coherent phonon spectroscopy. By heating amorphous films above specific temperatures, the coherent phonon signatures exhibit pronounced changes due to the crystallization of the amorphous phase into a cubic lattice and the transition from the cubic to a hexagonal crystal structure. The phonon modes observed are identified b...

We consider cubic polynomials f(z) = z + az + b defined over C(λ), with a marked point of period N and multiplier λ. In the case N = 1, there are infinitely many such objects, and in the case N ≥ 3, only finitely many. The case N = 2 has particularly rich structure, and we are able to describe all such cubic polynomials defined over the field S

Cubosomes are micro- and nanoparticles with a bicontinuous cubic two-phase structure, reported for the self-assembly of low molecular weight surfactants, for example, lipids, but rarely formed by polymers. These objects are characterized by a maximum continuous interface and high interface to volume ratio, which makes them promising candidates for efficient adsorbents and host-guest application...