Randomized block Krylov subspace methods for trace and log-determinant estimators

BIT Numerical Mathematics - We present randomized algorithms based on block Krylov subspace methods for estimating the trace and log-determinant of Hermitian positive semi-definite matrices. Using...     

Amphiphilic poly(ionic liquid)/Wells–Dawson-type phosphovanadomolybdate ionic composites as efficient and recyclable catalysts for the direct hydroxylation of benzene with H2O2

Three novel amphiphilic poly(ionic liquid) (PIL)/Wells–Dawson-type phosphovanadomolybdate (V-POM) ionic composites with tunable oxidative catalytic activity and unique nanostructure were synthesized using carboxylic acid-functionalized PIL and H₇[P₂Mo₁₇VO₆₂], H₈[P₂Mo₁₆V₂O₆₂] and H₉[P₂Mo₁₅V₃O₆₂] as synthetic units via self-assembly in water. The results of characterization indicated that V-POM anions were finely dispersed in the PIL cation framework, and their structures were well preserved. The three composites are amorphous V-POM salts of PIL cation with a considerable thermal stability, and an open three-dimensional network structure with hierarchical porosity. The as-synthesized composites were found to be efficient heterogeneous catalysts for the direct hydroxylation of benzene to phenol with H₂O₂ in the liquid phase. Under optimum conditions, a phenol yield of 37.3% was achieved with selectivity of 100%. The high catalytic performance could be attributed to the synergistic catalytic effect between V-POM anion and carboxylic acid-functionalized PIL cation framework, and good benzene adsorption and phenol desorption ability of amphiphilic micropores in the structure of the composites. Additionally, these composites exhibited high stability under the reaction conditions and could be easily recovered and reused at least six times without noticeably loss of activity.     

Advanced Nanomaterials for Multimodal Molecular Imaging

The development of multimodal molecular imaging contrast agents based on versatile nanomaterials has recently attracted much attention in disease diagnosis and therapeutic delivery. Contrast agents made from nanoparticles and used for multimodal imaging in vivo provide a multidimensional pathophysiological overview of diseases. This review summarizes recently developed advanced nanomaterials for multimodal molecular imaging. We comprehensively discuss these nanoparticle contrast agents in terms of their targeting modalities, limitations in clinical translation and future directions.     

基于共轭聚合物的近红外光传感器

近红外光(NIR)传感器在军事警戒、空间勘探、科研检测、医疗诊断等领域有着极为重要的应用价值。传统的NIR传感材料主要是基于半金属的无机材料,借助窄带隙来吸收低能量的NIR而改变材料自身的电导率,继而实现检测。无机传感材料由于加工繁琐、不具备柔性、成本高昂以及难降解等因素致其进一步发展受到限制。新兴的共轭聚合物材料通过光热转换或者能级可调的光电效应实现对NIR的高灵敏传感,同时能够实现快速响应。该类聚合物材料具有π电子离域的共轭结构,同样具有较窄的带隙,在NIR照射下能够通过自身电导率的改变或光热转换作用将热量传递至其他超热敏材料来实现对光的检测。借助柔性、环境友好、制备简单、便于掺杂、灵敏度高等优势,共轭聚合物材料为新一代NIR传感器的应用与普及开辟了新的前景。     

New perturbation bounds for the subunitary polar factors

In this article, we present some new perturbation bounds for the (subunitary) unitary polar factors of the (generalized) polar decompositions. Two numerical examples are given to show the rationality and superiority of our results, respectively. In terms of the one-to-one correspondence between the weighted case and the non-weighted case, all these bounds can be applied to the weighted polar decomposition.     

Purification of low-abundance lysozyme in egg white via free-flow electrophoresis with gel-filtration chromatography

As an effective separation tool, free-flow electrophoresis has not been used for purification of low-abundance protein in complex sample matrix. Herein, lysozyme in complex egg white matrix was chosen as the model protein for demonstrating the purification of low-content peptide via an FFE coupled with gel fitration chromatography (GFC). The crude lysozyme in egg while was first separated via free-flow zone electrophoresis (FFZE). After that, the fractions with lysozyme activity were condensed via lyophilization. Thereafter, the condensed fractions were further purified via a GFC of Sephadex G50. In all of the experiments, a special poly(acrylamide- co-acrylic acid) (P(AM-co-AA)) gel electrophoresis and a mass spectrometry were used for identification of lysozyme. The conditions of FFZE were optimized as follows: 130 μL/min sample flow rate, 4.9 mL/min background buffer of 20 mM pH 5.5 Tris-Acetic acid, 350 V, and 14 °C as well as 2 mg/mL protein content of crude sample. It was found that the purified lysozyme had the purity of 80% and high activity as compared with its crude sample with only 1.4% content and undetectable activity. The recoveries in the first and second separative steps were 65% and 82%, respectively, and the total recovery was about 53.3%. The reasons of low recovery might be induced by diffusion of lysozyme out off P(AM-co-AA) gel and co-removing of high-abundance egg ovalbumin. All these results indicated FFE could be used as alternative tool for purification of target solute with low abundance.     

Efficient Heck cross-coupling of 3-iodo-benzopyrones with olefins under microwave irradiation without phosphine

An efficient and effective microwave-assisted Heck cross-coupling of different terminal olefins with various 3-iodo-benzopyrones including sterically hindered, electron-rich, electron-neutral, and electron-deficient is developed. It proceeded faster and generally gave good to excellent yields under microwave irradiation, phosphine-free, and air condition. The reaction could render this method particularly attractive for the efficient preparation of biologically and medicinally interesting molecules.     

Design of aluminum trihydroxide and P‐N core‐shell structures and their synergistic effects on halogen‐free flame‐retardant polyethylene composites

In order to improve the performance of inorganic/organic composites, aluminum trihydroxide (ATH) core composites with a styrene‐ethylene‐butadiene‐styrene block copolymer grafted with maleic anhydride (MAH‐g‐SEBS) shell phase, and P‐N flame retardant as a synergistic agent, were prepared through an interface design. The effects of polyethylene glycol (PEG) content on the interfacial interaction, flame retardancy, thermal properties, and mechanical properties of high‐density polyethylene (HDPE)/ATH composites were investigated by small angle X‐ray diffraction, rotational rheometer, limiting oxygen index, thermogravimetric analysis (TGA), and tensile testing. The ATH synergistic effects of P‐N flame‐retardant improved the combustion performance of HDPE/ATH/PEG(3%)/MAH‐g‐SEBS/P‐N (abbreviated as HDPE/MH3/M‐g‐S/P‐N) composite by forming more carbon layer, increased the elongation at break from 21% to 558% compared to HDPE/ATH, and increased the interface thickness from 0.447 to 0.891 nm. SEM results support the compatibility of ATH with HDPE increased and the interfacial effect was enhanced. TGA showed the maximum decomposition temperature of the two stages and the yield of the residue at high temperature increased first and then decreased with the increase of PEG content. Rheological behavior showed the storage modulus, complex viscosity, and the relaxation time initially increased and then decreased with the increase of PEG content indicating PEG, M‐g‐S, and ATH powder gradually formed a partial coating, then a full coating, and finally an over‐coated core‐shell structured model.     

一类新型冠醚稀土配合物的合成、表征及与DNA作用研究

合成了四种双(N,N′-乙基,苯基)-2,3-萘-二(氧杂乙酰胺)(L=C30H30N2O4)稀土配合物。通过元素分析、红外光谱、差热-热重及摩尔电导值的分析,确定配合物的组成为[RE(pic)3L],RE=Eu(Ⅲ),Tb(Ⅲ),Ce(Ⅲ),Y(Ⅲ)。电化学实验表明:配体无电化学活性,配合物则呈现出一准可逆的氧化还原过程,在10～1000 mV.s-1扫速范围内配合物的氧化还原峰电流与扫描速度的平方根(ν1/2)呈良好的线性关系,表明其在玻碳电极(GCE)上的伏安行为受扩散控制。另外,通过循环伏安法、光谱法及粘度法研究了配合物与DNA的作用方式,结果表明:配合物均以插入方式与DNA作用,并且作用大小次序是Ce(pic)3L>Tb(pic)3L>Y(pic)3L>Eu(pic)3L。在pH=3.0适宜酸度条件下,建立了以Ce(pic)3L为探针定量测定DNA的分析方法。