The Expansion Method of Mixed Basis Vectors of Lower-energy States and Harmonic Oscillators in Calculation of Bound States of Few-Body Systems

In this paper,the harmonic oscillator approach to the bound states of few-body ststems is developed and the lower-energy states are introduced as basis vectors and mixed with a part of harmonic oscillator vectors to calculate the binding energy.The lower energy levels of 3-α system and ⁹Be are presented and compared with experiments or other calculations.The results are satisfactory.     

Three-body Dynamics of the Hypernucleus 9Be

We have calculated the energy spectra of the hypernucleus ⁹Be up to about 15MeV excitation energy by using an α+α+Λ three-cluster model and using the hamonicoscillator product states as basis function.By analyzing the shape densities in detail,we have determined the most probable shapes in three low-lying ststes of L^π=0⁺,2⁺ and 1^－     

Recent advances in the applications of [1.1.1]propellane in organic synthesis

As a highly strained small molecule, [1.1.1]propellane has been widely used in various synthetic transformations owing to the exceptional reactivity of the central bond between the two bridgehead carbons. Utilizing strain-release approaches, the rapid development of strategies for the construction of bicyclo[1.1.1]pentane (BCP) and cyclobutane derivatives using [1.1.1]propellane as the starting material has been witnessed in the past few years. In this review, we highlight the most recent advances in this field. Accordingly, the reactivity of [1.1.1]propellane can be divided into three pathways, including radical, anionic and transition metal-catalyzed pathways under appropriate conditions.     

FeCl3‐Mediated Three‐Component Cascade Reaction: An Effective Approach to the Construction of Highly Functionalized Pyrrolo[1,2‐c]quinazolinones

An unexpected FeCl₃‐mediated three‐component cascade reaction has been used to construct structurally diverse pyrrolo[1,2‐c]quinazolinone derivatives with potential biological activities. This method has advantages of mild conditions, simple work‐up, as well as wide substrate scope, which makes it a powerful approach to the synthesis of diverse pyrrolo[1,2‐c]quinazolinones. This cascade reaction involves 1,3‐dipolar cycloaddition between azomethine ylides and allenoates, followed by intramolecular nucleophilic addition in the presence of FeCl₃. The obtained products could be easily transformed into derivatives with the pyrrolo[2,3‐c]quinazoline alkaloid skeleton.     

Ground state singlet-to-triplet conversion of copper corrole radical by β-benzo-fusion

Materials with facilely tunable spin configurations based on metal-radical coordination systems have potential applications for electronics and spintronics. Here, we report the ground state conversion of copper corrole radicals from singlet to triplet via the extension of the π-conjugation system by benzo-fusion at the β-position of corrole ligand. NMR spectroscopy, SQUID measurements and computational studies all support the ferromagnetic coupling between the Cu(II) center and corrole π-radical of benzo-fused copper corrole 2-Cu, which is in sharp contrast with the antiferromagnetic coupling in regular non-extended copper corroles. The triplet 2-Cu is highly stable in air, and X-ray diffraction analysis revealed its unique highly planar corrole macrocycle. This work offers a promising strategy for creating high-spin systems in non-innocent metallocorroles.     

An electron donor–acceptor photoactivation strategy for the synthesis of S-aryl dithiocarbamates using thianthrenium salts under mild aqueous micellar conditions

An eco-friendly and convenient method is developed herein for the synthesis of S-aryl dithiocarbamates via visible-light-induced SET process of an EDA complex between thianthrenium salt functionalized arenes and dithiocarbamate anions under mild aqueous micellar conditions. This strategy indirectly realizes the method for constructing S-aryl dithiocarbamates through site-selective C−H functionalization of arenes. Most importantly, the reaction proceeded smoothly without addition of any photocatalyst, and the by-product thianthrene is recycled in quantity, ultimately minimizing the production of chemical waste. This protocol provides a promising synthesis candidate for the construction of valuable S-aryl dithiocarbamates, which also opens up a new avenue for micellar photocatalysis.     

φ混合随机变量最大值加权和的强收敛（英文）

本文研究φ混合随机变量最大值加权和的强收敛性质.提出关于不同分布φ混合随机变量完全收敛的一些结果.作为一个应用,取得φ混合随机变量加权和的Marcinkiewicz-Zygmund型强大数定律.     

Uniqueness and stability of positive steady state solutions for a ratio-dependent predator–prey system with a crowding term in the prey equation

This paper deals with a ratio-dependent predator–prey system with a crowding term in the prey equation, where it is assumed that the coefficient of the functional response is less than the coefficient of the intrinsic growth rates of the prey species. We demonstrate some special behaviors of solutions to the system which the coexistence states of two species can be obtained when the crowding region in the prey equation only is designed suitably. Furthermore, we demonstrate that under some conditions, the positive steady state solution of the predator–prey system with a crowding term in the prey equation is unique and stable. Our result is different from those ones of the predator–prey systems without the crowding terms.     

基于二氧化钛/碳纳米管/壳聚糖纳米复合薄膜制备葡萄糖生物传感器

利用壳聚糖(CHI)溶液分散了纳米二氧化钛(nano-TiO2)和多壁碳纳米管(MWCNT),将该分散液修饰于玻碳电极表面形成纳米复合薄膜;用戊二醛为交联剂在该纳米复合层上固定了葡萄糖氧化酶(GOx),同时以二茂铁为电子媒介体构建了一种新型葡萄糖传感器。利用扫描电镜(SEM)、交流阻抗(AC)对所制备的传感器进行了表征,同时用循环伏安法(CV)和计时电流法(CA)考察了其对葡萄糖的电催化氧化性能。实验结果表明,在优化测试条件下该传感器对葡萄糖在0.5～20.0 mmol.L-1范围内有线性响应,检出限为0.2 mmol.L-1;电流达到95%的稳态时间小于5 s;此生物传感器具有良好的重现性和选择性,能有效排除抗坏血酸、尿酸等常见干扰物的影响并成功应用于饮料中葡萄糖含量的测定。     

On the nonlocal Cauchy problem for semilinear fractional order evolution equations

In this paper, we develop the approach and techniques of [Boucherif A., Precup R., Semilinear evolution equations with nonlocal initial conditions, Dynam. Systems Appl., 2007, 16(3), 507–516], [Zhou Y., Jiao F., Nonlocal Cauchy problem for fractional evolution equations, Nonlinar Anal. Real World Appl., 2010, 11(5), 4465–4475] to deal with nonlocal Cauchy problem for semilinear fractional order evolution equations. We present two new sufficient conditions on existence of mild solutions. The first result relies on a growth condition on the whole time interval via Schaefer fixed point theorem. The second result relies on a growth condition splitted into two parts, one for the subinterval containing the points associated with the nonlocal conditions, and the other for the rest of the interval via O’Regan fixed point theorem.