Introduction: Due to causing methemoglobinemia, different cancers, and teratogen effects in human nitrate contamination of water resources has become a critical environmental problem Therefore, the aim of this work was to determine the optimum condition of nitrate sorption onto magnetic nanoparticle. Materials and Methods: The removal of nitrate from aqueous solutions by magnetic nanoparticles...

A brief description of research advances in the area of short-pulse-laser nanostructuring of thin Au films is followed by examples of experimental data and a discussion of our results on the characterization of structural and optical properties of gold nanostructures. These consist of partially spherical or spheroidal nanoparticles (NPs) which have a size distribution (80 ± 42 nm) and self-orga...

The elements of the magneto-dipole (MD) interaction matrix are calculated for a pair oriented spheroidal magnetic nanoparticles with semiaxes ratio a/b = 1.25, 1.5, 2.0 and 3.0 as function distance between particle centers. It is shown that spherical approximation MD incorrect already at aspect ratios > if R centers order sizes. However, moderate ratios, < first correction to respect correspond...

In this work, we develop a theoretical model to explain the equilibrium spheroidal deformation of a giant unilamellar vesicle (GUV) under an alternating (ac) electric field. Suspended in a leaky dielectric fluid, the vesicle membrane is modeled as a thin capacitive spheroidal shell. The equilibrium vesicle shape results from the balance between mechanical forces from the viscous fluid, the rest...

Many signals encountered in science and engineering are approximated well by bandlimited functions. We provide suitable error bounds for the approximation of bandlimited functions by linear combinations of certain special functions — the Prolate Spheroidal Wave Functions of order 0. The coefficients in the approximating linear combinations are given explicitly via appropriate quadrature formulae.

In recent years, mesoporous bioactive glass nanoparticles (MBGNPs) have generated great attention in biomedical applications. this study, cerium and gallium doped MBGNPs were prepared by microemulsion assisted sol-gel method the binary SiO2-CaO system. with spheroidal pineal shaped morphology obtained. Nitrogen sorption analysis elucidated structure of synthesized high specific surface area. X-...

The Schrödinger equation in prolate spheroidal coordinates separates into ordinarydifferential equations in single coordinates; of these direct solutions, two contain confluent Heun functions. We derive polynomial solutions of Heun’s confluent equation and express Coulomb spheroidal functions in a closed algebraic form. Spheroidal orbitals are expressible as hybrids composed of spherical ones c...