A new Jacobi operational matrix: An application for solving fractional differential equations

In this paper, we derived the shifted Jacobi operational matrix (JOM) of fractional derivatives which is applied together with spectral tau method for numerical solution of general linear multi-term fractional differential equations (FDEs). A new approach implementing shifted Jacobi operational matrix in combination with the shifted Jacobi collocation technique is introduced for the numerical solution of nonlinear multi-term FDEs. The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations which greatly simplifying the problem. The proposed methods are applied for solving linear and nonlinear multi-term FDEs subject to initial or boundary conditions, and the exact solutions are obtained for some tested problems. Special attention is given to the comparison of the numerical results obtained by the new algorithm with those found by other known methods.     

孔雀石绿-锌(Ⅱ)-牛血清白蛋白的共振光散射及其分析应用

基于牛血清白蛋白(BSA)使孔雀石绿(MG)-锌(Ⅱ)配合物体系的共振光散射光谱(RLS)信号增强,建立了一种测定痕量蛋白质的新方法。探讨了pH、MG浓度、金属离子浓度、共存物质等因素对共振光散射强度的影响。在优化实验条件下,RLS强度与BSA浓度的线性范围为0.1—25μg/mL,检出限0.06μg/mL,运用该方法对合成样品加标回收测定,结果满意。     

转换反射中光自旋霍尔效应的自旋堆积方向

从理论上和实验上研究了转换反射中光自旋霍尔效应的自旋堆积方向的方法,建立了描述光束在空气-棱镜界面反射的自旋堆积模型,揭示了横移与光束入射偏振角的定性关系。研究发现,当入射角小于布儒斯特角时,随着入射偏振角的逐渐增大,自旋堆积的方向发生反转。而当入射角大于布儒斯特角时,自旋堆积的方向不再随入射偏振角的变化而反转。结果表明,在光束入射角为确定值且小于布儒斯特角的情况下,可以通过调控光束的入射偏振角转换自旋堆积的方向。转换自旋堆积方向的研究为有效调控光自旋霍尔效应提供了新的途径。     

旋流燃烧器复合小火焰模型的大涡模拟

对低旋燃烧器内的流动和燃烧进行了大涡模拟,其中化学反应分别采用传统的扩散小火焰模型和所提出的复合小火焰模型描述。复合小火焰模型借助于燃烧区索引的概念区分当地的燃烧模式,若当地的燃烧为扩散燃烧,则调用扩散小火焰库,否则调用预混小火焰库。数值结果与实验数据的对比表明,采用大涡模拟方法结合小火焰模型能够很好地模拟实验室尺度的低旋燃烧器,且采用复合小火焰模型能够得到更加符合实际的结果。     

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引进了美国GAMMA公司的高精度数字式可调标准光源RS-5B,并对其性能参数进行了测试。结果表明,该光源光强空间分布非常稳定,在光强大于0.001μW•cm-2时,复位性优于1%;在光强大于0.01μW•cm-2时,稳定性优于0.5%。其输出光强与标称值呈线性分布关系。这些优良的参数和特性满足聚变物理标定研究中对标定源的需求,为物理实验数据分析和计算模拟提供了条件。     

Synthesis and characterization of tin(IV)/organotin(IV) complexes with 2-benzoylpyridine-N(4)-cyclohexylthiosemicarbazone [HBPCT]: X-ray crystal structure of [SnCl3(BPCT)]

Four new tin(IV)/organotin(IV) complexes, [SnCl₃(BPCT)] (2), [MeSnCl₂(BPCT)] (3), [Me₂SnCl(BPCT)] (4), and [Ph₂SnCl(BPCT)] (5), have been synthesized by the direct reaction of 2-benzoylpyridine-N(4)-cyclohexylthiosemicarbazone [HBPCT, (1)] and stannic chloride/organotin(IV) chloride(s) in absolute methanol under purified nitrogen. HBPCT and its tin(IV)/organotin(IV) complexes (2–5) were characterized by CHN analyses, molar conductivity, UV-Vis, FT-IR, and ¹H NMR spectral studies. In all the complexes, tin(IV) was coordinated via pyridine-N, azomethine-N, and thiolato-S from 1. The molecular structure of 2 has been determined by X-ray single-crystal diffraction analysis. Complex 2 is a monomer and the central tin(IV) is six-coordinate in a distorted octahedral geometry. The crystal system of 2 is monoclinic with space group P121/n1 and the unit cell dimensions are a?=?8.3564(3)?Å, b?=?23.1321(8)?Å, c?=?11.9984(4)?Å.     

Synthesis,characterization, and in vitro antioxidant and anticancer studies of ruthenium(III) complexes of symmetric and asymmetric tetradentate Schiff bases

Ruthenium(III) complexes of three tetradentate Schiff bases with N₂O₂ donors formulated as [RuCl(LL¹)(H₂O)], [RuCl(LL²)(H₂O)] and [RuCl(LL³)(H₂O)] were synthesized and characterized by elemental analyses, molar conductance, FTIR, and electronic spectral measurements. The FTIR data showed that the tetradentate Schiff base ligands coordinate to Ru ions through the azomethine nitrogen and enolic oxygen. The antioxidant activities of the complexes were investigated through scavenging activity on 1,1-diphenyl-2-picrylhydrazyl (DPPH) and 2,2′-azinobis-3-ethylbenzothiazoline-6-sulfonic acid (ABTS) radicals. The DPPH activity for [RuCl(LL²)(H₂O)] with IC₅₀ = 0.031 mg mL^?1 was higher than the values obtained for the other Ru(III) compounds. The study revealed that the synthesized Ru(III) complexes of the tetradentate Schiff base exhibited strong scavenging activities against DPPH and moderate against ABTS radicals. In addition, the antiproliferative studies of the complexes were also tested against human renal cancer cells (TK10), human melanoma cancer cells (UACC62), and human breast cancer cells (MCF7) using the SRB assay. The results indicated that the Ru(III) complexes showed low anticancer activities against the tested human cancer cell lines.     

Synthesis,characterization, and antitumour studies of some curcuminoid analogues and their aluminum complexes

Aluminum(III) complexes of three curcuminoid analogues [1,7-diphenyl-1,6-heptadiene-3,5-dione, HL¹; 1,7-bis(2-hydroxyphenyl)-1,6-heptadiene-3,5-dione, HL²; and 1,7-bis(4-ethoxyphenyl)-1,6-heptadiene-3,5-dione, HL³] of [AlL₃] stoichiometry were synthesized and characterized by UV, IR, ¹H NMR, and mass spectral data. The compounds were investigated for cytotoxic and antitumor activities. The aluminum chelates are remarkably active compared to free curcuminoid analogues. The aluminum complex of HL² with hydroxyl in the phenyl ring was most active towards Ehrlich ascites carcinoma cells (concentration needed for 50% inhibition of 5?μg/mL) and cultured L929 cells (1?μg/mL produced 60?+?3% cell death). Increase in lifespan and reduction of solid tumor volume in mice were also largest for the aluminum complex of HL². The study reveals that the antitumor activities of curcuminoids are more enhanced by complexation with aluminum than with transition metal ions.