Attempts to Synthesize Zeolitic Composites from Stellerite

A feasible method to synthesize NaA and NaY zeolite from stellerite, the very cheap raw material found in China, was reported in this article to reduce the cost of zeolite synthesis for the first time. After stellerite is calcined above 973 K with sodium carbonate, this natural zeolite can be slowly dissolved in alkali solution and partly forms the gels, then transforms to zeolite NaA or NaY by structural rearrangement. The effect of synthetic conditions such as the ratio of different cation used in the reactive mixture on the resulting zeolite is examined. Furthermore, a new NaA/MCM-41 composite possessing both micropore and mesopore is synthesized by adding the NaA zeolite into the synthetic system, and the impact of zeolite additive on the pore structure of final porous composite is also explored.     

MCM-56分子筛的静态合成及对苯与长链烯烃烷基化反应的催化性能

以六甲基亚胺为模板剂,静态水热晶化法合成了MCM-56分子筛,通过X-射线衍射、N2等温吸附等方法对样品进行表征.当硅铝比低于20时易生成MCM-49和丝光沸石,加入少量碱能提高分子筛的相对结晶度,最佳合成温度为135～150 ℃,时间分别为3天.考察了MCM-56对苯和长链烯烃烷基化反应的催化活性,并与MCM-22进行了对比.实验表明,在最佳反应温度120 ℃时,烯烃的转化率为29.35%,烷基苯(LAB)的选择性为98.22%,MCM-56的催化活性明显低于MCM-22.     

MCM-41负载手性Salen Mn(Ⅲ)的制备及其催化性能

采用化学键联的方法制备了MCM-41负载的带隔离基团的多相化Salen Mn(Ⅲ)催化剂,利用FT-IR、UV-Vis1、H NMR及ICP对催化剂进行了表征,证明了手性配合物成功负载到MCM-41上。随后考察了该催化剂催化烯烃不对称环氧化反应及其循环使用的性能。实验发现多相化催化剂催化活性有所降低,但延长反应时间,催化(1,2)-二氢化萘不对称环氧化的转化率达60.5%,其环氧化产物的对映体过量值(ee)为52.4%。     

MCM-41介孔分子筛和纳米TiO2/MCM-41的合成与结构表征

以工业水玻璃为硅源,表面活性剂十六烷基三甲基溴化铵为结构模板剂,利用室温晶化法合成出MCM-41介孔分子筛,并以钛酸丁酯为前驱体,通过溶胶凝胶法及液相沉积法对介孔分子筛MCM-41进行纳米TiO2的组装。运用XRD、FT-IR、N2吸附-脱附等表征手段对其结构特征和氧化钛分散状态进行了研究,结果表明：TiO2与MCM-41端基硅氧键反应形成Ti-O-Si键;纳米TiO2不仅进入孔道,较均匀地修饰了介孔分子筛MCM-41的孔壁,而且使介孔分子筛MCM-41仍保持有序的孔道结构。     

A new fundamental solution for differential Riccati equations arising in control

The matrix differential Riccati equation (DRE) is ubiquitous in control and systems theory. The presence of the quadratic term implies that a simple linear-systems fundamental solution does not exist. Of course it is well-known that the Bernoulli substitution may be applied to obtain a linear system of doubled size. Here, however, tools from max-plus analysis and semiconvex duality are brought to bear on the DRE. We consider the DRE as a finite-dimensional solution to a deterministic linear/quadratic control problem. Taking the semiconvex dual of the associated semigroup, one obtains the solution operator as a max-plus integral operator with quadratic kernel. The kernel is equivalently represented as a matrix. Using the semigroup property of the dual operator, one obtains a matrix operation whereby the kernel matrix propagates as a semigroup. The propagation forward is through some simple matrix operations. This time-indexed family of matrices forms a new fundamental solution for the DRE. Solution for any initial condition is obtained by a few matrix operations on the fundamental solution and the initial condition. In analogy with standard-algebra linear systems, the fundamental solution can be viewed as an exponential form over a certain idempotent semiring. This fundamental solution has a particularly nice control interpretation, and might lead to improved DRE solution speeds.     

MCM-41 deposition on alumina ceramic foams

Alumina-based macro-porous ceramic foams were successfully coated with MCM-41 meso-porous materials using an in-situ one step hydrothermal synthesis. Low H₂O/NaOH ratio in the starting mixture leads to a not uniform deposition of the meso-porous materials. Using higher H₂O/NaOH ratio and two cycles of deposition, a CF with a continuous and thick layer of well-ordered MCM-41 material coating was produced.     

Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time

In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically describe transport processes. Since hyperbolic equations usually propagate discontinuities of initial or boundary conditions into the domain on which the solution lives or can develop discontinuities even in the presence of smooth data, problems of this type constitute a severe challenge for both theory and numerics of PDE constrained optimization.     

MCM—41中孔分子筛的研究和开发

介绍了近期国内外中孔分子筛ＭＣＭ－４１的研究情况，阐述了其合成机理并简述了其性能和应用。     

Global Convergence of a Class of Collinear Scaling Algorithms with Inexact Line Searches on Convex Functions

Ariyawansa [2] has presented a class of collinear scaling algorithms for unconstrained minimization. A certain family of algorithms contained in this class may be considered as an extension of quasi-Newton methods with the Broyden family [11] of approximants of the objective function Hessian. Byrd, Nocedal and Yuan [7] have shown that all members except the DFP [11] method of the Broyden convex family of quasi-Newton methods with Armijo [1] and Goldstein [12] line search termination criteria are globally and q-superlinearly convergent on uniformly convex functions. Extension of this result to the above class of collinear scaling algorithms of Ariyawansa [2] has been impossible because line search termination criteria for collinear scaling algorithms were not known until recently. Ariyawansa [4] has recently proposed such line search termination criteria. In this paper, we prove an analogue of the result of Byrd, Nocedal and Yuan [7] for the family of collinear scaling algorithms of Ariyawansa [2] with the line search termination criteria of Ariyawansa [4]. Received: May 8, 1996; revised January 27, 1999