Ni selective sensors based on meso-tetrakis-{4-[tris-(4-allyl dimethylsilyl-phenyl)-silyl]-phenyl}porphyrin and (sal)2trien in poly(vinyl chloride) matrix

PVC-based membranes of meso-tetrakis-{4-[tris-(4-allyl dimethylsilyl-phenyl)-silyl]-phenyl}porphyrin (I) and (sal)₂trien (II) as electroactive material with dioctylphthalate (DOP), tri-n-butylphosphate (TBP), chloronapthalene (CN), dibutylphthalate (DBP) and dibutyl(butyl) phosphonate (DBBP) as plasticising solvent mediators have been found to act as Ni²⁺ selective sensor. The best performance was obtained with the sensor having a membrane of composition of I: sodium tetraphenyl borate: PVC in the ratio 5:5:150. The sensor exhibits Nernstian response in the activity range 2.5 × 10⁻⁶ to 1.0 × 10⁻¹ M, performs satisfactorily over wide pH range (2–5.5) with a fast response time (8 s). The sensor was found to work satisfactorily in partially non-aqueous media up to 20% (v/v) content of methanol or ethanol and acetone and could be used over a period of 4 months. Potentiometric selectivity coefficients determined by matched potential method (MPM) indicate excellent selectivity for Ni²⁺ ions. The sensors could be used successfully in the estimation of nickel in different brand of chocolates and also as an indicator electrode in potentiometric titration.     

Transfer Chemical Potentials,Solubility and Reactivity of Psoralen and 8-Hydroxypsoralen in Binary Aqueous Methanol Mixtures

Solubilities are reported for psoralen and 8-hydroxypsoralen in binary aqueous mixtures at ambient pressure and 298 K, with organic cosolvent methanol. Gibb's energies of transfer of there two compounds are calculated from their solubilities. Transfer chemical potentials of both compounds are stabilised by increasing prapartion of organic cosolvent because of their markedly hydrophobic character. Basic hydrolysis of psoralen and 8-hydroxypsoralen in aqueous methanol mixtures was examines kinetically, yielding Gibb's energies of activation. Derived transfer parameters are used in analysis of kinetic data to describe the influence of solvent composition on initial and transition states. Derived transfer chemical potentials for a single ion such as hydroxide ion lead to an interesting comparison of the effects of extrathermodynamic assumptions, Wells estimates and TATB assumption, on the initial and transition states. The analysis comfirm the important role played by the choice of extrathermodynamic assumption in determining the overall kinetic pattern. We describe misgivings concerning procedures used by wells to derive transfer chemical potential for single ions.     

Cesium Ion-Selective Electrode

The membrane material was prepared by mixing 40% of cesium-triphenyl-cyanoborate and 60% of PVC powder. The mixture was pressed at a pressure of 20tons/cm² for 1hours to make the membrane. Then, the membrane was mounted on a self-constructed electrode body. Nernstian slope of 60 mv/decade was obtained throughout the concentration range 10^?1～2×10^?5M. Selectivity coefficients were presented. The life time of the electrode is longer than 6 months.     

新型sPS/PET/SsPS-Zn工程塑料合金的研究

熔融共混法制备了新型综合性能较好的间规聚苯乙烯 (sPS) 聚对苯二甲酸乙二醇酯 (PET) 磺化间规聚苯乙烯锌盐 (SsPS Zn)工程塑料合金 ,研究了合金结构与性能之间的关系 .加入SsPS Zn后 ,合金的力学性能先提高而后下降 ,当sPS PET SsPS Zn为 85 15 2 (质量比 )时 ,合金的综合力学性能较好 ,冲击强度达到 10 6kJ m2 ,为纯sPS的 2 5倍 ;加入SsPS Zn后 ,合金的耐热性提高 ;合金中sPS的熔点与纯sPS相同 ,而初始结晶温度和达到最大结晶速度时的温度均高于纯sPS ,且基本不受SsPS Zn用量的影响 .PET的熔点、初始结晶温度、达到最大结晶速率时的温度和结晶度均随SsPS Zn用量的增加而逐渐降低 ;DMA结果中所有合金均只呈现一个Tg,并且加入SsPS Zn后 ,Tg 和半峰宽都逐渐提高 ,常温下的储能模量在其用量为 2份时达到最大值 ;SEM观察到加入 2份SsPS Zn后 ,PET分散相的尺寸明显减小 ,继续增加其用量 ,PET分散相的尺寸反而有所增大和不均匀 ,并且合金的冲击断面由显著的层状结构转为相对平整     

坡面侵蚀形态转变过程的REE示踪法研究

利用REE元素示踪法，采取沿坡面垂直分层布设的新的试验布设方法，通过室内模拟降雨试验，研究了次降雨条件下坡面侵蚀形态的转变过程和细沟的发育发展过程。研究结果表明，降雨初期坡面以面蚀为主，细沟出现后，坡面侵蚀将加快加剧；随着降雨时间的延续，累积面蚀量和细沟累积侵蚀量都将逐渐增加，后者的增加速率大于前者，面蚀所占总侵蚀量的百分比随降雨时间呈曲线形式逐渐递减，细沟侵蚀则逐渐增加；试验结束时细沟侵蚀量分别为面蚀量的4—5倍。本研究为定量区分片蚀和细沟侵蚀量以及坡面侵蚀过程中片蚀向细沟侵的转变以细胞侵蚀发生、发育提供了新的思路和解决途径。     

An evaluation of force terms in the lattice Boltzmann models in simulating shallow water flows over complex topography

Proper approximation of the force terms, especially the bed slope term, is of crucial importance to simulating shallow water flows in lattice Boltzmann (LB) models. However, there is little discussion on the schemes of adding force terms to LB models for shallow water equations (SWEs). In this study, we evaluate the performance of forcing schemes coupled with different LB models (LABSWE and MLBSWE) in simulating shallow water flows over complex topography and try to find out their intrinsic characteristics and applicability. Three cases are adopted for evaluation, including a stationary case, a one-dimensional tidal wave flow over an irregular bed, and a steady flow over a two-dimensional seamount. The simulating results are compared with analytical solutions or the results produced by the finite difference method. For LABSWE, all the forcing schemes, except for the weighting factor method, fail to produce accurate solutions for the test cases; this is probably due to the mismatch between the bed slope term in source terms and the quadratic depth term of the equilibrium distribution functions in these forcing schemes. For MLBSWE, all the forcing schemes are capable of simulating flows over the complex topography accurately; furthermore, those schemes taking into account the collision effect τ to eliminate the momentum induced by forces provide more accurate solutions with quicker convergence as the lattice size decreases. In this view, MLBSWE can bring more flexibility in treating the force terms and thus can be a better tool to simulate shallow water flows over complex topography in practical application.     

Slope limiting for discontinuous Galerkin approximations with a possibly non‐orthogonal Taylor basis

The use of high‐order polynomials in discontinuous Galerkin (DG) approximations to convection‐dominated transport problems tends to cause a violation of the maximum principle in regions where the derivatives of the solution are large. In this paper, we express the DG solution in terms of Taylor basis functions associated with the cell average and derivatives at the center of the cell. To control the (derivatives of the) discontinuous solution, the values at the vertices of each element are required to be bounded by the means. This constraint is enforced using a hierarchical vertex‐based slope limiter to constrain the coefficients of the Taylor polynomial in a conservative manner starting with the highest‐order terms. The loss of accuracy at smooth extrema is avoided by taking the maximum of the correction factors for derivatives of order p and higher. No free parameters, oscillation detectors, or troubled cell markers are involved. In the case of a non‐orthogonal Taylor basis, the same limiter is applied to the vector of discretized time derivatives before the multiplication by the off‐diagonal part of the consistent mass matrix. This strategy leads to a remarkable gain of accuracy, especially in the case of simplex meshes. A numerical study is performed for a 2D convection equation discretized with linear and quadratic finite elements. Copyright © 2012 John Wiley & Sons, Ltd.     

Delay-independent absolute stability for time-delay Lur''e systems with sector and slope restricted nonlinearities

This Letter presents an analysis method for a delay-independent absolute stability of time-delay Lur'e systems with sector and slope restrictions. The proposed method is based on the Lyapunov functions with quadratic form of states and nonlinear functions of the systems. Several criteria are derived in terms of linear matrix inequalities (LMIs). A numerical example is illustrated to show the effectiveness of the proposed method.     

Banach 空间中一阶脉冲积分-微分方程初值问题整体解的存在性

通过逐段应用推广的Darbo不动点定理,在较弱的条件下,给出了实Banach空间中一阶脉冲积分-微分方程初值问题整体解的存在性,改进了一些已有的结果.     

Existence of multidimensional phase transitions in a non-isothermal van der Waals fluid

In this paper, we prove the existence of multidimensional subsonic phase transitions in a non-isothermal van der Waals fluid. The argument is based on the result of the existence of travelling waves given in [S.-Y. Zhang, Existence of travelling waves in non-isothermal phase dynamics, J. Hyperbolic Differ. Equ. 4 (3) (2007) 391–400] and the result of multidimensional stability given in [S.-Y. Zhang, Stability of multidimensional subsonic phase transition in a non-isothermal van der Waals fluid, Preprint]. An iteration technique [A. Majda, The existence of multi-dimensional shock fronts, Mem. Amer. Math. Soc. 281 (1983) 1–93] is applied to achieve the result.