The algebraic Bethe ansatz for the Izergin–Korepin model with open boundary conditions

We present the procedure of exactly solving the Izergin–Korepin model with open boundary conditions by using the algebraic Bethe ansatz, which include constructing the multi-particle state and achieving the eigenvalue of the transfer matrix and corresponding Bethe equations. We give a proof about our conclusions on the multi-particle state based on an assumption. When the model is U_q(su(2)) quantum invariant, our results agree with that obtained by analytic Bethe ansatz method.     

On Sums and Products in a Field

We study sums and products in a field. Let F be a field with ch(F) ≠ 2, where ch(F) is the characteristic of F. For any integer k ? 4, we show that any x ∈ F can be written as a₁ + … + a_k with a₁, …, _ak ∈ F and a₁… a_k = 1, and that for any α ∈ F {0} we can write every x ∈ F as a₁ … a_k with a₁, …, a_k ∈ F and a₁ + … + a_k = α. We also prove that for any x ∈ F and k ∈ {2, 3, …} there are a₁, …, a_2k ∈ F such that a₁ + … + a_2k = x = a₁ … a_2k.

     

Montmorillonite K10: Catalyst for Friedel–Crafts Alkylation of Indoles and Pyrrole with Nitroalkenes Under Solventless Conditions

Montmorillonite K10 was found to catalyze the Michael addition of indoles or pyrrole with nitroalkenes efficiently under solventless condition. The short reaction time, simple workup, and excellent yields were noteworthy. The green catalyst could be reused for three runs without considerable variation in yield.     

Synthesis, structure, and luminescent properties of three silver(I) complexes with organic carboxylic acid and 4,4′-bipyridine-like ligands

The reactions of AgNO₃ with combinations of 1,2-bis(4-pyridyl)ethane(bpa)/4,4′-bipyridine (bpy), 4,4′-stilbenedicarboxylic acid (H₂sda)/2,2′-diphenylaminedicarboxylic acid (H₂dpadc)/2,6-naphthalenedicarboxylic acid (H₂ndc) in aqueous alcohol/ammonia at room temperature produce block-like crystals of [Ag₂(bpa)_1.5(sda)_0.5](sda)_0.5·7H₂O, [Ag₂(bpa)₂(H₂O)₃](dpadc), [Ag₂(bpy)₂](ndc)·4H₂O. All three complexes consist of 1D infinite silver–ligand cationic chains, interspersed with organic carboxylate anions that provide charge compensation in the crystal structures. The lattice water molecules are situated among the framework of the crystal structure and show rich hydrogen-bonding interactions, which help to orientate the organic carboxylate anions in the crystal packing, and the presence of Ag···N and Ag···Ag contacts contributes to strengthen the frameworks. The luminescent properties and thermogravimetric analyses of the three complexes are also presented.     

Integrable boundary conditions for the B_2 model

New integrable B_2 model with off-diagonal boundary reflections is proposed. The general solutions of the reflection matrix for the B_2 model are obtained by using the fusion technique. Wefind that the reflection matrix has 7 free boundary parameters, which are used to describe the degree of freedom of boundary couplings, without breaking the integrability of the system. The new quantization conditions will induce the novel structure of the energy spectrum and the boundary states. The corresponding boundary effects can be studied based on the results in this paper. Meanwhile, the reflection matrix of high rank models associated with Bnalgebra can also be obtained by using the method suggested in this paper.     

Transfer matrix for the open chain from giant gravitons

We construct the transfer matrix for the open chain with the centrally extended SU(2|2) symmetry attached to the so called Z=0 giant graviton brane. Using the reflection equations, unitarity property and crossing property, we show that this model is integrable.     

反应等离子喷涂纳米TiN涂层的显微硬度及微观结构研究

阐述了反应等离子喷涂(RPS)方法的基本思想.利用气体隧道等离子喷枪，通过RPS方法在Q23 5钢基底上成功制备了氮化钛涂层.检测了TiN涂层在不同载荷下的显微硬度，结果显示TiN涂层具有明显的硬度压痕尺寸效应，在高载荷下加工硬化效应较弱.XRD,TEM及HRTEM等分析 表明,通过RPS方法制备得到了纳米TiN涂层，涂层由直径约为50—70nm的TiN晶粒及非晶Ti N所组成. 关键词： 反应等离子喷涂 纳米 氮化钛 微观结构     

乳胶凝集法快速检测猪圆环病毒2型

发展了一种简单、快速、灵敏的乳胶凝集法用于猪圆环病毒2M的检测.合成了带有磺酸基的三元聚合物乳胶微球,通过静电相互作用,将猪圆环病毒2型单克隆抗体吸附到乳胶微球表面,形成乳胶抗体复合物诊断试剂.乳胶抗体复合物诊断试剂表面抗体与病毒表面抗原发生特异性反应,促使分散的乳胶微球凝集在一起,出现肉眼可见的凝集现象,而与去离子水...     

Through-space charge-transfer emitting biphenyls containing a boryl and an amino group at the o,o'-positions

A new class of organoboron compounds containing a boryl and an amino group at the o,o'-positions of biphenyls display bright through-space intramolecular charge transfer fluorescence owing to the close contact between the boryl and the amino groups. Binding of the fluoride ions results in the remarkable blue shift and color change of the fluorescence, enabling colorimetric and ratiometric fluoride ion sensing.     

Inner Surface Modification of a Tube by Magnetic Glow-Arc Plasma Source Ion Implantation

A new method named the magnetic glow-arc plasma source ion implantation （MGA-PSⅡ） is proposed for inner surface modification of tubes. In MGA-PSⅡ, under the control of an axial magnetic field, which is generated by an electric coil around the tube sample, glow arc plasma moves spirally into the tube from its two ends. A negative voltage applied on the tube realized its inner surface implantation. Titanium nitride （TIN） films are prepared on the inner surface of a stainless steel tube in diameter 90mm and length 600mm. Hardness tests show that the hardness at the tube centre is up to 20 GPa. XRD, XPS and AES analyses demonstrate that good quality of TiN films can be achieved.