The Use of Chronoamperometry and Chemometrics for Optimization of Conducting Polymer Sensor Arrays

A general approach using principal component analysis was applied to amperometric data obtained from flow injection analysis (FIA) to select conducting electroactive polymers (CEPs) and applied potential waveforms for discrimination of potassium and methylamine. The results were compared with the selection from the application of the PCA approach for cyclic voltammetry data in our previous research. Good agreement between the two methods of selection was found, which indicates that within the general qualitative limits of the approach, PCA can be applied for selection of chemical and electrochemical parameters for FIA detection/discrimination using CEP sensor arrays detector for a range of analytes.     

Fe-MCM-41 with highly ordered mesoporous structure and high Fe content: synthesis and application in heterogeneous catalytic wet oxidation of phenol

Raman spectroscopy has been successfully employed in order to investigate the formation of β-cyclodextrin host–guest inclusion molecular complexes with several different azo-dye structures. The Raman pattern of the carbohydrate framework results negligible when neared to the magnificent intensity of the highly polarisable guest systems and a complete and feasible comparison of the spectral features between the free and the complexed situation of the guest molecule is allowed. In general, with respect to the free guest state, it was found within the complex that a hampering of Raman intensity displays, accompanied by a levelling directed variation of the relative peak intensities, and peculiar Raman peak broadening with shifts occur, relatable to the host–guest settling of inclusive intermolecular interactions. Supportively to the other commonly established characterising methods, or in valid alternative, Raman technique has proved astoundingly useful under the perspective of the diagnostic evaluation of cyclodextrin host–guest molecular inclusion for azo-dyes and, more generally, for a highly polarisable guest structure. It features sample non-destructivity, handiness, fastness and sensitive reproducibility, occasionally providing useful suggestions about the complexation topology.     

Optimization of hydrogen storage capacity in silica-supported low valent Ti systems exploiting Kubas binding of hydrogen

Silica-based materials grafted with low valent Ti fragments for Kubas-type binding of hydrogen were optimized for hydrogen adsorption capacity by varying the surface area, pore size, loading levels, and type of organometallic precursor. All materials were characterized by XRD, nitrogen adsorption, and XPS where appropriate. The surface area of HMS silica was optimized by varying silica-to-surfactant molar ratio, and also by tuning the pore size by varying the surfactant’s carbon chain length (C₆, C₈, C₁₀, C₁₂). Then Ti fragments originating from either benzyl, allyl, or methyl Ti precursors were grafted onto the optimal HMS surface at different loading levels to arrive at Ti grafted HMS materials with H₂ storage capacities and binding properties superior to those previously reported by our group for benzyl Ti (III) species on silica. HMS prepared with dodecylamine using a silica:surfactant ratio of 3:1 and subsequently grafted with 0.2 M equiv. of TiBz₄ had the highest H₂ adsorption at 2.45 wt% at 77 k and 60 atm, which equates to an average of 3.98 H₂ molecule per Ti metal center, just one H₂ molecule short of the theoretical saturation limit of 5 H₂/Ti predicted by the 18-electron rule. The H₂ adsorption capacities of Me₃Ti-HMS and Allyl₃Ti-HMS prepared using the same optimized sample of C₁₂-HMS silica at a 3:1 Si:surfactant ratio possessed H₂ adsorption values corresponding to 2.4 and 2.27 H₂ per Ti center, respectively, at 60 atm and 77 K. This performance level is significantly lower than that of the benzyl Ti (III) system. The binding enthalpies of the benzyl Ti (III) material increase with H₂ coverage to 23 kJ/mol, while the enthalpies for the newly synthesized Me₃Ti-HMS and Allyl₃Ti-HMS materials increase with H₂ coverage to a maximum of 2.66 and 4.17 kJ/mol, respectively. XPS studies on these materials suggested a trend in π-back donating ability on the Ti (III) centers of methyl > allyl > benzyl, opposite that observed experimentally. The reason for the diminished performance of the allyl and methyl Ti (III) systems may thus be related to the presence of THF ligands blocking coordination sites in the allyl and methyl systems. THF is not present in the benzyl system because this solvent is not required for synthesis.     

Operational Properties of Two Integral Transforms of Fourier Type and their Convolutions

In this paper we present the operational properties of two integral transforms of Fourier type, provide the formulation of convolutions, and obtain eight new convolutions for those transforms. Moreover, we consider applications such as the construction of normed ring structures on L₁(\mathbbR)L_{1}({\mathbb{R}}), further applications to linear partial differential equations and an integral equation with a mixed Toeplitz-Hankel kernel.     

A new regularized method for two dimensional nonhomogeneous backward heat problem

We consider the problem of finding, from the final data u(x,y,T)=g(x,y), the initial data u(x,y,0) of the temperature function u(x,y,t),(x,y)I=(0,π)×(0,π),t[0,T] satisfying the following system

The problem is severely ill-posed. In this paper a simple and convenient new regularization method for solving this problem is considered. Meanwhile, some quite sharp error estimates between the approximate solution and exact solution are provided. A numerical example also shows that the method works effectively.     

Temperature-insensitive fiber Bragg grating dynamic pressure sensing system

Temperature-insensitive dynamic pressure measurement using a single fiber Bragg grating (FBG) based on reflection spectrum bandwidth modulation and optical power detection is proposed. A specifically designed double-hole cantilever beam is used to provide a pressure-induced axial strain gradient along the sensing FBG and is also used to modulate the reflection bandwidth of the grating. The bandwidth modulation is immune to spatially uniform temperature effects, and the pressure can be unambiguously determined by measuring the reflected optical power, avoiding the complex wavelength interrogation system. The system acquisition time is up to 85 Hz for dynamic pressure measurement, and the thermal fluctuation is kept less than 1.2% full-scale for a temperature range of -10 degrees C to 80 degrees C.     

The Local Limit of the Uniform Spanning Tree on Dense Graphs

Let G be a connected graph in which almost all vertices have linear degrees and let \(\mathcal {T}\) be a uniform spanning tree of G. For any fixed rooted tree F of height r we compute the asymptotic density of vertices v for which the r-ball around v in \(\mathcal {T}\) is isomorphic to F. We deduce from this that if \(\{G_n\}\) is a sequence of such graphs converging to a graphon W, then the uniform spanning tree of \(G_n\) locally converges to a multi-type branching process defined in terms of W. As an application, we prove that in a graph with linear minimum degree, with high probability, the density of leaves in a uniform spanning tree is at least \(e^{-1}-\mathsf {o}(1)\), the density of vertices of degree 2 is at most \(e^{-1}+\mathsf {o}(1)\) and the density of vertices of degree \(k\geqslant 3\) is at most \({(k-2)^{k-2} \over (k-1)! e^{k-2}} + \mathsf {o}(1)\). These bounds are sharp.     

基于圆环形薄壁截面梁的光纤光栅传感研究

提出将圆环形薄壁截面梁应用于光纤光栅传感，用一个光栅实现了对温度与应力的同时区分测量；对圆环形薄壁截面梁的应变进行了理论与实验分析，结果表明圆环形薄壁截面梁各点应变与该点角度的二倍呈余弦变化关系. 关键词： 光纤光栅传感 圆环形薄壁截面梁 啁啾