Exceptional units in a family of quartic number fields

We determine all exceptional units among the elements of certain groups of units in quartic number fields. These groups arise from a one-parameter family of polynomials with two real roots.

     

基于遗传算法的企业风险管理组合模型的分析

本提出了企业关键风险体的概念，建立了基于关联成本和关联收益的风险管理组合净收益模型。并通过一个典型算例详细说明企业风险管理组合选择的标准和过程。实验结果表明该方法具有简单快速准确等特点，对企业的风险管理和决策具有一定的帮助和指导意义。     

Two Aluminophosphate Molecular Sieves Built from Pairs of Enantiomeric Structural Building Units

Herein we report the synthesis and structures of two new small‐pore aluminophosphate molecular sieves PST‐13 and PST‐14 with mutually connected 8‐ring channels. The structure of PST‐13, synthesized using diethylamine as an organic structure‐directing agent, contains penta‐coordinated framework Al atoms bridged by hydroxy groups and thus edge‐sharing 3‐ and 5‐rings. Upon calcination, PST‐13 undergoes a transformation to PST‐14 with loss of bridging hydroxy groups and occluded organic species. The structures of both materials consist “nonjointly” of pairs of previously undiscovered 1,5‐ and 1,6‐open double 4‐rings (d4rs) which are mirror images of each other. We also present a series of novel chemically feasible hypothetical structures built from 1‐open d4r (sti) or 1,3‐open d4r (nsc) units, as well as from these two enantiomeric structural building units.     

The First Sodium Uranyl Chromate,Na4[(UO2)(CrO4)3]: Synthesis and Crystal Structure Determination

The first sodium uranyl chromate, Na₄[(UO₂)(CrO₄)₃], has been obtained by high‐temperature solid‐state reaction. The structure (triclinic, P1¯, Z = 2, a = 7.1548(3), b = 8.4420(3), c = 11.5102(5)Å, α = 80.203(1)°, β = 79.310(1)°, γ = 70.415(1)° V = 639.24(4)ų ) has been solved by direct methods and refined on the basis of F² for all unique reflections to R1 = 0.024 [calculated on the basis of 4374 unique observed reflections (‖F_o‖ 4σF)]. The structure is based on chains of composition [(UO₂)(CrO₄)₃] that are parallel to [1¯01]. The chains contain UrO₅ pentagonal bipyramids (Ur = Uranyl) that share all equatorial corners with CrO₄ tetrahedra. Cr(1)O₄ and Cr(3)O₄ tetrahedra bridge between two adjacent UrO₅ bipyramids, whereas Cr(2)O₄ tetrahedra share one corner with one UrO₅ bipyramid each. The [(UO₂)(CrO₄)₃] chains are planar and oriented parallel to (313). The Na⁺ cations provide linkage of the chains in the structure.     

Adsorptionsuntersuchungen an Organokieselsäurepolymeren

Adsorption Studies on Organosilic Acid Polymers We present four organosilic acid polymers containing double-4-ring silicate units cross-linked at different degree by different organosilicon bridges. BET surfaces were determined and adsorption isotherms of n-hexane, benzene, nitrogen and water were measured. All polymers are hydrophobic, one of them behaves microporously, the other are unporous. With organic adsorptives, swelling and adsorption occur simultaneously. Possible relations of microporosity and structure are discussed.     

Applications of capillary gas chromatography in routine toxicological analyses

Capillary columns offer the toxicologist several advantages over packed columns. We have presented a highly reproducible screening procedure based on the retention index system and have shown the use of capillary columns for routine quantitation. We are currently expanding the use of these columns in our laboratory and predict that they will be in routine use by most toxicologists in the near future.     

Synthesis of carbon dendron nano-chains with π-extended conjugation based on linear 1,4-phenylethynyl and 1,5-naphthylethynyl subunits

A convenient and efficient synthesis of 3,5-di(trimethylsilylethynyl)phenylacetylene and p-[3,5-di(trimethylsilylethynyl)-1-phenylethynyl]phenylacetylene and the naphthylethynyl homologues terminal acetylenes of 5-(N,N-dimethylamino)naphthylethyne have been carried out. These terminal acetylene compounds serve to prepare nanometer-sized conjugated 1,3,5-tri(ethynylphenyl)benzene and 1,3,5-tri(ethynylnaphthyl)benzene oligomers, by means of heterocoupling with 1,3,5-triiodobenzene, catalysed by palladium, in excellent yields. Both the ethynylphenyl or ethynylnaphthyl homologues chains show fluorescence emission radiation, with important quantum yield.     

Simultaneous Determination of Polycyclic Aromatic Hydrocarbons by Variable Angle Spectrofluorimetry

Abstract

The use of variable-angle fluorescence spectra together with multilinear curve-fitting techniques for the resolution of mixtures of polycyclic aromatic hydrocarbons (PAHs), is described. Only one spectrum is necessary to determine four compounds in a mixture even when a severe overlap occurs. The PAHs are quantified at ng/ml levels.     

The Chemistry of Nucleation: In Situ Pair Distribution Function Analysis of Secondary Building Units During UiO-66 MOF Formation

The concept of secondary building units (SBUs) is central to all science on metal-organic frameworks (MOFs), and they are widely used to design new MOF materials. However, the presence of SBUs during MOF formation remains controversial, and the formation mechanism of MOFs remains unclear, due to limited information about the evolution of prenucleation cluster structures. Here in situ pair distribution function (PDF) analysis was used to probe UiO-66 formation under solvothermal conditions. The expected SBU—a hexanuclear zirconium cluster—is present in the metal salt precursor solution. Addition of organic ligands results in a disordered structure with correlations up to 23 Å, resembling crystalline UiO-66. Heating leads to fast cluster aggregation, and further growth and ordering results in the crystalline product. Thus, SBUs are present already at room temperature and act as building blocks for MOF formation. The proposed formation steps provide insight for further development of MOF synthesis.     

Synthesis and characterization of a novel liquid‐crystalline epoxy resin combining biphenyl and aromatic ester‐type mesogenic units

A novel liquid‐crystalline epoxy resin combining biphenyl and aromatic ester‐type mesogenic units, diglycidyl ether of 4,4′‐bis(4‐hydroxybenzoyloxy)‐3,3′,5,5′‐tetramethyl biphenyl, was synthesized. Its spectroscopic structure, thermal properties, and phase structures were investigated with NMR, differential scanning calorimetry (DSC), and polarized light microscopy (PLM), respectively. The curing agent, diaminodiphenylsulfone, was chosen to investigate the curing behavior by means of DSC and PLM during isothermal and nonisothermal processes. Only one exothermal peak appeared in the isothermal DSC curves. Birefringence was also observed during the curing processes and preserved after postcuring. Compared with short rigid‐rod and flexible epoxies, the cured liquid‐crystalline epoxy resin that was obtained displayed special thermal stability according to thermogravimetric analysis because of its long rigid‐rod mesogenic unit and bulky methyl groups. © 2007 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 45: 727–735, 2007