An international project was successfully completed which involved two major undertakings: (1) a round-robin to demonstrate the viability of the selected standard and (2) the certification of the lattice parameters of the SRM 1990, a Standard Reference Material(®) for single crystal diffractometer alignment. This SRM is a set of ≈3500 units of Cr-doped Al2O3, or ruby spheres [(0.420.011 mole fr...

We experimentally demonstrate that spin dynamics and the phase diagram of spinor condensates can be conveniently tuned by a two-dimensional optical lattice. Spin population oscillations and a lattice-tuned separatrix in phase space are observed in every lattice where a substantial superfluid fraction exists. In a sufficiently deep lattice, we observe a phase transition from a longitudinal polar...

In this paper, a photonic crystal waveguide with point defects and lattice constant perturbations of +5%, -5% are being investigated. Firstly waveguide structures with constant and specific parameters are being studied and photonic band gap diagrams for TE/TM modes are depicted; then pulse propagation in the frequencies available in the band gap are shown. After that, effects of parameters like...

A numerical investigation of forced convection in a channel with hot solid block inside a square porous block mounted on a bottom wall was carried out. The lattice Boltzmann method was applied for numerical simulations. The fluid flow in the porous media was simulated by Brinkman-Forchheimer model. The effects of parameters such as porosity and thermal conductivity ratio over flow pattern and t...

We derive a universality result for the fermionic contribution to the one loop vacuum polarisation in Lattice QCD. This leads in turn to a universality result for the fermionic contribution to the leading term in the weak coupling expansion of the Lattice QCD β-function. A general formula for the fermionic contribution to the ratio of lattice and continuum Λ-parameters is also obtained.

We show how the Pad e table can be utilized to develop a new lattice structure for general two-channel bi-orthogonal perfect reconstruction (PR) lter banks. This is achieved through characterization of all two-channel bi-orthogonal PR lter banks. The parameter space found using this method is unique for each lter bank. Similarly to any other lattice structure, the PR property is achieved struct...

Several ideal-lattice-based cryptosystems have been broken by recent attacks that exploit special structures of the rings used in those cryptosystems. The same structures are also used in the leading proposals for post-quantum lattice-based cryptography, including the classic NTRU cryptosystem and typical Ring-LWE-based cryptosystems. This paper proposes NTRU Prime, which tweaks NTRU to use rin...

The effects on the lattice parameters due to incorporation of impurities in GaN are evaluated using firstprinciples pseudopotential-density-functional calculations. Both the size effect, due to the relaxation of host atoms around the impurity, and the deformation-potential effect, due to placing free carriers in the conduction or valence band, are investigated. The incorporation of silicon and ...

Neutron powder diffraction was used to study the distribution of Co and Cr atoms over different lattice sites as well as the lattice parameters of sigma-phase compounds Co(100 - x)Cr(x) with x = 57.0, 62.7 and 65.8. From the diffractograms recorded in the temperature range of 4.2-300 K it was found for the five crystallographically independent sites that A (2a) and D (8i) are predominantly occu...

Significant progress has recently been achieved in the lattice gauge theory calculations required for extracting the fundamental parameters of the standard model from experiment. Recent lattice determinations of such quantities as the kaon B parameter, the mass of the b quark, and the strong coupling constant have produced results and uncertainties as good or better than the best conventional d...