COMMUTATORS OF GENERALIZED HARDY OPERATORS ON HOMOGENEOUS GROUPS

Let G be a homogeneous group. The author considers the boundedness of commutators generated by the generalized Hardy operators and CMO（G） functions on Herz spaces in the setting of homogeneous group. This article extends some known results.     

Organic dyes based on triphenylamine for dye-sensitized solar cells:Structure–property relationships

Three new organic dyes based on triphenylamine with a structure of A-D-A-D-A(D1),A-D-A(D2) and D-A(D3) were designed,theoretically calculated and synthesized for dye-sensitized solar cells.Dye D1 exhibits a broader absorption than D2 and D3,due to the intramolecular charge transfer between the donor triphenylamine and the acceptor benzothiadiazole.Dye D1 exhibits a lower HOMO and a lower LUMO than D2 and D3 due to the electron-withdrawing benzothiadiazole.The number of anchoring group cyanoacrylic acid has no obvious influence on absorption and energy levels of D2 and D3.The LUMO of D1 locates on benzothiadiazole rather than cyanoacrylic acid anchoring groups,while the LUMOs of D2 and D3 are localized on cyanoacrylic acid.D2 and D3 give higher short-circuit current density than D1.D3 with one anchoring group gives the highest open-circuit voltage.Consequently,the D3-based device gives the highest efficiency.     

双参数任意四边形非协调板元的构造及收敛性分析

本文利用双参数有限元方法[1]构造出十二参和十三参任意四边形板元，并对其收敛性进行分析证明．     

General Protocol for the Synthesis of Functionalized Magnetic Nanoparticles for Magnetic Resonance Imaging from Protected Metal–Organic Precursors

The development of magnetic nanoparticles (MNPs) with functional groups has been intensively pursued in recent years. Herein, a simple, versatile, and cost‐effective strategy to synthesize water‐soluble and amino‐functionalized MNPs, based on the thermal decomposition of phthalimide‐protected metal–organic precursors followed by deprotection, was developed. The resulting amino‐functionalized Fe₃O₄, MnFe₂O₄, and Mn₃O₄ MNPs with particle sizes of about 14.3, 7.5, and 6.6 nm, respectively, had narrow size distributions and good dispersibility in water. These MNPs also exhibited high magnetism and relaxivities of r₂=107.25 mM^?1 s^?1 for Fe₃O₄, r₂=245.75 mM^?1 s^?1 for MnFe₂O₄, and r₁=2.74 mM^?1 s^?1 for Mn₃O₄. The amino‐functionalized MNPs were further conjugated with a fluorescent dye (rhodamine B) and a targeting ligand (folic acid: FA) and used as multifunctional probes. Magnetic resonance imaging and flow‐cytometric studies showed that these probes could specifically target cancer cells overexpressing FA receptors. This new protocol opens a new way for the synthesis and design of water‐soluble and amino‐functionalized MNPs by an easy and versatile route.     

Micromould based laser shock embossing of thin metal sheets for MEMS applications

Laser shock forming is a new material processing technology. Micro-channel with dimension of 260 μm × 59 μm was successfully fabricated on metallic foil surface using laser-generated shock wave. The work piece has a high spatial resolution at the micron-level. A series of experiments was conducted to validate the finite element model. An analysis procedure including dynamic analysis performed by ANSYS/LS-DYNA and static analysis performed by ANSYS is presented in detail to attain the simulation of laser shock embossing to predict the surface deformation. Micromould based laser shock embossing holds promise for achieving precise, well-controlled, low-cost, high efficiency of three-dimensional metallic microstructures. In addition, this technique can fabricate complex 3D microstructures directly by single pulse.     

Correlation between molecular structure and optical properties for the bis(2-(2-hydroxyphenyl)benzothiazolate) complexes

A series of methyl-substituted bis(2-(hydroxyphenyl)benzothiazolate)zinc derivatives [Zn(n-MeBTZ)₂, n = 3 (1a), 4 (1b), 5 (1c)] were synthesized to investigate the correlation between molecular structures and optical properties. The results indicate that the blue-emitting (λ_max = 470 nm) complex 1b is monomer with a higher PL quantum efficiency than complexes 1, 1a, 1c. Two green-emitting (λ_max = 507 nm and 499 nm) complexes 1a and 1c have special bi-molecular structures. The molecular structure for Zn(BTZ)₂ (complex 1) is dimer. Bilayer organic light-emitting devices were fabricated by using these complexes as emitting layer. The maximum emission wavelengths of the devices are in the range of 501–553 nm. The devices show turn-on voltages at 9.2, 12.7, 2.3 and 10.7 V for complex 1, 1a, 1b, and 1c, respectively. In particular, the device with complex 1b shows a higher brightness than the other complexes under the same conditions.     

Preparation of magnetically supported chromium and sulfur co-doped TiO2 and use for photocatalysis under visible light

Novel magnetic chromium and sulfur co-doped TiO₂ photocatalysts (M-Cr/S/TiO₂) have been prepared by a sol?Cgel process, using magnetic hollow fly ash microspheres as support material. The crystal phase of M-Cr/S/TiO₂ was characterized by X-ray diffraction, UV?Cvisible absorption spectroscopy, and transmission electron microscopy. The photocatalytic activity of the photocatalysts was examined by photodegradation of methyl orange in aqueous solution under visible light irradiation. The results showed that chromium and sulfur co-doped catalysts (Cr/S/TiO₂) containing 0.60?% (atomic ratio) chromium and 1.2?% (atomic ratio) sulfur calcined at 450?°C for 2?h had high catalytic efficiency under visible irradiation. It is worth mentioning that the floating M-Cr/S/TiO₂ catalyst had greater photocatalytic activity than Cr/S/TiO₂ powder. Therefore, M-Cr/S/TiO₂ is a promising, high-performing, visible-light-driven photocatalyst.     

Aptamer-incorporated hydrogels for visual detection,controlled drug release,and targeted cancer therapy

Hydrogels are water-retainable materials, made from cross-linked polymers, that can be tailored to applications in bioanalysis and biomedicine. As technology advances, an increasing number of molecules have been used as the components of hydrogel systems. However, the shortcomings of these systems have prompted researchers to find new materials that can be incorporated into them. Among all of these emerging materials, aptamers have recently attracted substantial attention because of their unique properties, for example biocompatibility, selective binding, and molecular recognition, all of which make them promising candidates for target-responsive hydrogel engineering. In this work, we will review how aptamers have been incorporated into hydrogel systems to enable colorimetric detection, controlled drug release, and targeted cancer therapy.     

Enhanced photocatalytic removal of hexavalent chromium and organic dye from aqueous solution by hybrid bismuth titanate Bi4Ti3O12/Bi2Ti2O7

Research on Chemical Intermediates - A hybrid bismuth titanate Bi4Ti3O12/Bi2Ti2O7 obtained via a one-step annealing procedure was employed as photocatalyst to oxidize rhodamine B dyes (RhB) and...     

Boundedness of multilinear commutators of generalized fractional integrals

Let L be the infinitesimal generator of an analytic semigroup on L²(?ⁿ ) with Gaussian kernel bound, and let L^{–α /2} be the fractional integral of L for 0 < α < n. Suppose that b = (b₁, b₂, …, b_m ) is a finite family of locally integral functions, then the multilinear commutator generated by b and L^{–α /2} is defined by L^{–α /2} _b f = [b_m , …, [b₂, [b₁, L^{–α /2}]], …, ] f, where m ∈ ?⁺. When b₁, b₂, …, b_m ∈ BMO or b_j ∈ Λ (0 < β_j < 1) for 1 ≤ j ≤ m, the authors study the boundedness of L^{–α /2} _b . (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)