Dilatation estimates for quasiconformal extensions

LetD andD′ be ring domains inB ⁿ , withS ⁿ⁻¹ as one boundary component, and let be a homeomorphism which isK-quasiconformal inD and withf(S ⁿ⁻¹)=S ⁿ⁻¹. According to a result of Gehringf÷S ⁿ⁻¹ admits an extension which is quasiconformal inB ⁿ . We find here an upper bound for the dilatation ofg in terms ofn, K, and modD. This work was started during a visit to Université de Paris, financed by a cultural exchange program between France and Finland.     

On lower bounds for polynomials in the values of E-functions

The paper considers polynomials in ,f₁(),...,f_s(), where is an algebraic number satisfying certain conditions and f₁(z),...,f_s(z) are some E-functions, algebraically independent over the field of rational functions. Explicit lower bounds in terms of the heights of and the polynomial are obtained for the absolute values of these polynomials. The result is proved by using the method of Siegel and idlovskii.This work was carried out while the author was a research fellow of the Alexander von Humboldt Foundation.     

Semi-rotating cryogenic modulator for comprehensive two-dimensional gas chromatography

A laboratory-made cryogenic modulator for comprehensive two-dimensional gas chromatography (GCxGC) was constructed and evaluated. Analytes were trapped with carbon dioxide and desorbed with heated GC oven air. The GCxGC system included a non-polar first-dimension column and a semi-polar second-dimension column connected to a flame ionisation detector. A laboratory-written Matlab-based program was used for the data analysis. Peak widths at half height for n-alkanes, obtained with use of new modulator, were at narrowest 60 ms.     

Heterogenization of racemic ethylenebis(1-indenyl)zirconium dichloride on trimethylaluminum vapor modified silica surface

Heterogeneous metallocene catalysts were prepared by adsorbing rac-Et(Ind)₂ZrCl₂ on a modified silica surface in solution. The modification of silica was conducted in gas phase with atomic layer chemical vapor deposition (ALCVD) technique, where the silica, preheated at either 350 or 600°C, was allowed to react with vaporized trimethylaluminum (TMA) at 250°C. Modified carriers and heterogeneous catalysts were characterized with FTIR, ¹H MAS (magic-angle spinning) NMR, ¹³C, and ²⁹Si CP (cross-polarization) MAS NMR spectroscopies and elemental analyses. In the reaction of TMA with silica, a saturated surface was formed consisting of different (---O)_4−nSi(CH₃)_n (n=1, 2 or 3) and ---AlCH₃ groups. The ratio of ---SiMe to ---AlMe groups was approximately 1.5 in the TMA/SiO₂ carriers. When the metallocene was adsorbed onto the carrier it seemed to react with the surface ---AlCH₃ groups and possibly ---ZrCH₃ groups were formed. Heterogeneous catalysts were tested in the polymerization of ethylene and propylene in the presence of methylalumoxane (MAO). And they produced similar polymer as the homogeneous rac-Et(Ind)₂ZrCl₂ catalyst, but with lower activity. A catalyst with the best activity was achieved from silica that was preheated at 600°C. Moreover, leaching of catalyst was examined whereupon a part of zirconium was observed to desorb from the carrier.     

BiOBr/Ni2P/g-C3N4体系中用Ni2P电子桥加速S型体系光生载流子分离

水污染对人类健康和生态环境造成了严重的危害,引起了人们广泛关注.半导体光催化技术被认为是一种去除废水中有机污染物的有效方法.近年来,石墨相氮化碳(g-C₃N₄)作为一种无金属的光催化剂,具有合适的带隙能(Eg≈2.7eV)、良好的化学稳定性、较好的热稳定性、无毒以及强的还原电位(ECB≈-1.3eV)等特点,表现出较好的光催化活性.但由于g-C3N4光生载流子复合快和量子效率低,限制了其实际应用.因此,研究者们开发了各种有效的方法来克服上述缺点,如调控形貌、掺杂离子、沉积贵金属和构建异质结等.其中,构建梯型(S型)异质结已被证实是提高复合材料光催化活性的一种有效策略.S型异质结的形成不仅有效地加速光生电子和空穴的分离和迁移,而且还增强了光生载流子的氧化还原能力.除了电子结构外,异质结的界面电阻直接影响着光生载流子的分离效率,从而决定光催化活性强弱.据报道,具有高导电性的"电子传递介质"或"电子桥"可有效地降低载流子迁移过程中的界面阻力.过渡金属磷化物具有优良的导电性、低廉的价格和无毒的特性,完全满足电子桥的要求,成为电子桥的最佳候选材料之一.结合S型异质结和电子桥的优势,本文采用沉积-沉淀法制备了一种新型的S型BiOBr/Ni₂P/g-C3N4异质结.在可见光(λ≥400 nm)下,该催化剂对甲基橙和罗丹明B的降解活性明显优越于BiOBr/g-C₃N₄.这主要归因于电子桥Ni₂P和S型异质结的协同效应.密度泛函理论计算表明,电子从BiOBr通过电子桥Ni₂P转移到g-C₃N₄.在可见光照射下以及界面内建电场的驱动下,带边缘弯曲和库仑相互作用协同促进了复合物中相对无用的电子和空穴的重组,从而保留了较强氧化还原能力的电子和空穴.活性氧捕获实验、电子顺磁共振光谱和电流-电压曲线结果进一步证明,光催化剂中的电荷迁移方式遵循S型异质结的迁移机制.综上,本文不仅为S型光催化剂的设计提供了有效策略,也为界面载流子的快速分离和迁移提供了切实可行的途径.     

Iodinated ortho‐Carboranes as Versatile Building Blocks to Design Intermolecular Interactions in Crystal Lattices

The crystal structures of numerous iodinated ortho‐carboranes have been studied, which has revealed the diversity of intermolecular interactions that these substances can adopt in the solid state. The nature—mostly as it relates to hydrogen and/or halogen bonds—and relative strength of such interactions can be adjusted by selectively introducing substituents onto the cluster, thus enabling the rational design of crystal lattices. In this work we present the newly determined crystal structures of the following iodinated ortho‐carboranes: 9‐I‐1,2‐closo‐C₂B₁₀H₁₁, 4,5,7,8,9,10,11,12‐I₈‐1,2‐closo‐C₂B₁₀H₄, 3,4,5,6,7,8,9,10,11,12‐I₁₀‐1,2‐closo‐C₂B₁₀H₂, 1‐Me‐8,9,10,12‐I₄‐1,2‐closo‐C₂B₁₀H₇, 1,2‐Me₂‐8,9,10,12‐I₄‐1,2‐closo‐C₂B₁₀H₆, and 1,2‐Ph₂‐8,9,10,12‐I₄‐1,2‐closo‐C₂B₁₀H₆. Their 3D supramolecular organization has been thoroughly investigated and compared to similar previously published crystal structures. Such a systematic survey has allowed us to draw some general trends. C_c? H???I? B hydrogen bonds (C_c= cluster carbon atoms) appear to be significant in the growth of the crystal lattices of these compounds, given the acidity of hydrogen atoms bonded to C_c, and the polarization of B? I bonds. These hydrogen bonds can be disrupted by selectively blocking the positions next to C_c, that is, B(3) and B(6), with bulky substituents that prevent iodine atoms from approaching as hydrogen acceptors. Halogen bonds of the type B? I???I? B are frequently observed in most cases, thus suggesting that these interactions could be attractive in boron clusters. In addition, different substituents can be grafted onto the ortho‐carborane surface, thereby providing further possibilities for homomeric or heteromeric molecular assembly.     

Linear viscoelastic models: Part I. Relaxation modulus and melt calibration

Constitutive models for the linear viscoelasticity of polymers are presented for the relation between the relaxation modulus and the molecular weight distribution (MWD). We also compute the MWD from a simulated relaxation modulus curve by first obtaining the rheologically effective distribution (RED) as a function of time, and converting this into the MWD by melt calibration; that is, the relation between timescale and the molecular weight. This procedure has similarities with the widely used universal calibration with solved polymers. The main principles of our technique are applied here to familiar relaxation modulus data, for which we present two models: (1) an analytical model derived from control theory, which is known capable of modelling partially observed system and (2) a practical characteristic model for obtaining usable results. No relaxation time or spectrum procedures are used to model the process of linear viscoelastic relaxation. The use of relative calculations and melt calibration dispenses with the need to know the real chain structures such as branching and entangled chain dynamics, and the model remains useful for future investigations of polymer chain structures and dynamics, such as using tube theory.     

Vertical-cavity saturable-absorber intensity modulator

We propose and demonstrate a reflection-type optical modulator, with surface-normal architecture, that exploits the optical saturation of absorption in semiconductor quantum wells. The modulation section of the modulator, which is composed of quantum wells placed within a Fabry-Perot cavity, is optically controlled by an intensity-modulated beam generated by an in-plane laser integrated monolithically on the same wafer and grown in a single epitaxial step. The modulation section and the in-plane laser share the same medium; therefore, efficient coupling between the control beam and the signal beam is achieved. The device was successfully used for active mode locking of an erbium-doped fiber laser.     

Diffraction efficiency of photochromic absorption gratings

Efficiencies of thick photochromic absorption gratings are theoretically investigated. The treatment is based on a realistic photochromic grating model, which includes both spatial and temporal variations of the absorption coefficient. Simple analytic solutions for dynamic diffraction characteristics are derived. This nonlinear model shows that the maximum diffraction efficiency of photochromic absorption gratings may exceed 10%.     

Thermoluminiscence and exoelectron emission of KCl phosphors,activated by mercury-like ions

An experimental investigation is made of thermostimulated electronic emission and luminescence in potassium halide crystals activated with mercury-like ions. These phosphors were excited with X-rays or ultra-violet light in the activator absorption bands. The transfer of activator excitation to the host lattice, the creation of colour centres by these processes and the mechanism of exoelectron emission are discussed.Physics and Astronomy Institute of the Estonian Academy of Sciences, Tartu, Est.S.S.R. The experimental part of the work was completed in October–November 1962, during H. Käämbre's stay at the Institute of Solid State Physics, Prague.