Molecular Design of Sol-Gel Derived Hybrid Organic-Inorganic Nanocomposites

Organic-inorganic hybrids appear as a creative alternative to obtain new materials with unusual features. Applications of these materials in the fields of optics, iono-electronics, mechanics, membranes, protective coatings, catalysis, sensors, biology,...are expected. This is related to their polyphasic nanostructures, leading to multifunctional materials.     

A Hierarchy of Models for Two-Phase Flows

Summary. We derive a hierarchy of models for gas-liquid two-phase flows in the limit of infinite density ratio, when the liquid is assumed to be incompressible. The starting model is a system of nonconservative conservation laws with relaxation. At first order in the density ratio, we get a simplified system with viscosity, while at the limit we obtain a system of two conservation laws, the system of pressureless gases with constraint and undetermined pressure. Formal properties of this constraint model are provided, and sticky blocks solutions are introduced. We propose numerical methods for this last model, and the results are compared with the two previous models. Received April 20, 2000; accepted September 12, 2000 %%Online publication November 15, 2000 Communicated by Gérard Iooss     

Low-Complexity Alternatives to the Optimal Linear Coding Scheme for Transmitting ARMA Sources

In the era of the Internet of Things, there are many applications where numerous devices are deployed to acquire information and send it to analyse the data and make informed decisions. In these applications, the power consumption and price of the devices are often an issue. In this work, analog coding schemes are considered, so that an ADC is not needed, allowing the size and power consumption of the devices to be reduced. In addition, linear and DFT-based transmission schemes are proposed, so that the complexity of the operations involved is lowered, thus reducing the requirements in terms of processing capacity and the price of the hardware. The proposed schemes are proved to be asymptotically optimal among the linear ones for WSS, MA, AR and ARMA sources.     

线性代数是蓝色的——大学非数学专业《线性代数》的课程设计

线性代数不仅是处理多元问题的有力工具,而且具有强烈的思辨性.大学本科教育应该是"泛专业的高等素质教育",作为公共基础课之一的《线性代数》,也应着眼于学生综合科学素质的培养,注意对学生进行思维训练.本文提出线性代数的教学理念:"提出处理多元问题的新要求,沿着多元整合的集成化思路推进,逐步把学生引上线性变换和线性空间的思维平台."为此,本文进行了"五模块、两阶段、三层次"的课程设计,希望对讲授该课程的教师有所裨益.     

Molecular Networks in Dynamic Multilevel Systems

Dynamic multilevel systems can be assembled from molecular building blocks through two or more reversible reactions that form covalent bonds. Molecular networks of dynamic multilevel systems can exhibit different connectivities between nodes. The design and creation of molecular networks in multilevel systems require control of the crossed reactivity of the functional groups (how to connect nodes) and the conditions of the reactions (when to connect nodes). In recent years, the combination of orthogonal and communicating reactions, which can be simultaneous or individually activated, has produced a variety of systems that have given rise to macrocycles and cages, as well as molecular motors and multicomponent architectures on surfaces. A given set of reactions can lead to systems with unique responsiveness, compositions, and functions as a result of the relative reactivities. In this Concept article, different molecular networks from synthetic systems that can be produced by combinations of different reaction types are discussed. Moreover, applications of this chemistry are highlighted, and future perspectives are envisioned.     

Synthesis of alkyl 4-alkyl-2-hydroxy-3-oxo-3,4-dihydro-2H-1,4-benzoxazine-2-carboxylates as peptidomimetic building blocks

A general synthesis of new alkyl 4-alkyl-2-hydroxy-3-oxo-3,4-dihydro-2H-1,4-benzoxazine-2-carboxylate peptidomimetic building blocks from the corresponding alkyl 3-oxo-3,4-dihydro-2H-1,4-benzoxazine-2-carboxylates through carbanion oxidation is described.     

Hybrid Organic-Inorganic Materials Based on Nanobuilding Blocks Assembled through Electrostatic Interactions

Hybrid copolymers have been prepared by free radical polymerization, in toluene, of methylacrylate (MA) and varying amounts of an organotin oxo-cluster functionalized with two acrylamido groups, {(BuSn)₁₂O₁₄(OH)₆}(AMPS)₂. The tin based nanobuilding block is fully preserved in the final materials. These copolymers formed networks where the cross-linking is based on the electrostatic interactions that take place between the macrocation {(BuSn)₁₂O₁₄(OH)₆}^{2 +} and its two functional anions (AMPS^–). Accordingly, these copolymers can yield gels or solutions depending on the solvent used to swell them.     

A simple synthesis of 2,4-diaryl-1,3,5-triazines

Summary Arylamidines2 react with 5-methoxymethylen-2,2-dimethyl-1,3-dioxan-4,6-dione5 to give 2,4-diaryl-1,3,5-triazines in moderate to good yields.5 can be comprehended as a formic acid derivative which transfers a C₁-building block. Other formic acid derivatives give only poor to moderate yields of triazines by treatment with amidines. The synthetic method is applicable to aromatic amidines.

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Eine einfache Synthese von 2,4-Diaryl-1,3,5-triazinen

Zusammenfassung Die Arylamidine2 reagieren mit 5-Methoxymethylen-2,2-dimethyl-1,3-dioxan-4,6-dion5 in guten Ausbeuten zu 2,4-Diaryl-1,3,5-triazinen. Verbindung5 kann als Derivat der Ameisensäure aufgefaßt werden, welches einen C₁-Baustein überträgt. Andere Derivate der Ameisensäure ergeben bei Umsetzung mit Amidinen nur schlechte Ausbeuten an Triazinen. Die beschriebene Methode ist auf aromatische Amidine anwendbar.