Study on spline wavelet self‐convolution in filtering and resolving overlapped voltammetric signals simultaneously

The normal distribution function is used as resolving factor and spline wavelet self‐convolution is used to resolve the overlapped peaks containing noise. The resolution of several kinds of overlapped peaks (SNR from 5 to 50) simulated by computer has been discussed in details. It is known that the overlapped peaks with noise can be separated (SNR > 50) directly and the noise is removed at the same time in time domain. Base‐line separation can be achieved. The relative errors of peak area and position are less than 5.0%. The satisfactory results are also obtained in resolving voltammetric overlapped signals by this method.     

Signals ratio method combined with wavelet transform: application to resolution of overlapped electrochemical signals

A signals ratio method combined with wavelet transform was proposed for the resolution of a weak voltammetric signal overlapped by other components. The signals ratio method usually suffers from interference from noise and baseline contained in the original signals because these factors cause distortion of the signals ratio. The multiresolution capability of the wavelet transform method was exploited here to simultaneously remove or reduce the noise and background. As a result, a deformation-free signals ratio with good signal-to-noise ratio (SNR) was obtained even for very noisy signals. The properties of the proposed method were compared to other resolution methods. It was demonstrated that the combined signals ratio wavelet transform method was particularly applicable to resolve a minor component in the presence of large amount of other components, suggesting that it can provide improved detection limits and quantified results for minor components. The method was employed for the voltammetric determination of residual chlorine in the presence of N,N-diethyl-p-phenylenediamine (DPD).     

Wavelet transform-based Fourier deconvolution for resolving oscillographic signals

Fourier self-deconvolution is an effective means of resolving overlapped bands, but this method requires a mathematical model to yield deconvolution and it is quite sensitive to noises in unresolved bands. Wavelet transform is a technique for noise reduction and deterministic feature capturing because its time-frequency localization or scale is not the same in the entire time-frequency domain. In this work, wavelet transform-based Fourier deconvolution was proposed, in which a discrete approximation (such as A(2)) obtained from performing wavelet transform on the original data was substituted for the original data to be deconvolved and another discrete appropriate approximation (such as A(5)) was used as a lineshape function to yield deconvolution. Again, instead of the apodization function, the B-spline wavelet was used to smooth the deconvolved data to enhance the signal-to-noise ratio. As a consequence, this method does not suffer as badly as Fourier self-deconvolution from noises in the original data. Thus, resolution enhancement can be increased significantly, especially for signals with higher noise level. Furthermore, this method does not require a mathematical model to yield deconvolution; it is very convenient to deconvolve electrochemical signals.     

Application of Elimination Voltammetry to the Resolution of Adenine and Cytosine Signals in Oligonucleotides. I. Homo‐oligodeoxynucleotides dA9 and dC9

Elimination voltammetry with linear scan (EVLS) has been applied to the resolution of reduction signals of adenine and cytosine in short synthetic homo‐oligodeoxynucleotides (dA₉ and dC₉). In comparison with the common electrochemical methods (linear sweep, differential pulse, and square‐wave voltammetry) EVLS enables one to resolve the overlapped signals by using the function which eliminates the charging and kinetic currents (I_c, I_k) and conserves the diffusion current (I_d). For the adsorbed electroactive substance, this elimination function gives a good readable peak‐counterpeak which has successfully been utilized to the analysis of overlapped reduction signals of adenine and cytosine on hanging mercury drop electrode (HMDE). The height and potential of signals studied were affected by the dC₉/dA₉ ratio, the time of accumulation, the stirring speed during the adsorption, and pH. Our results showed that EVLS in connection with the adsorption procedure is a useful tool for qualitative and quantitative studies of short oligonucleotides.     

Rapid analysis of Origanum majorana L. fragrance using a nanofiber sheet,gas chromatography with mass spectrometry,and chemometrics

Headspace nanofiber sheet microextraction together with GC–MS and chemometrics resolution techniques were implemented to separate and identify the volatiles emitted by intact marjoram (Origanum majorana L.) and their relative concentrations. A novel polyaniline‐nylon‐6 nanofiber composite was applied for headspace microextraction. Characteristics such as high surface‐to‐volume ratio and π–π functional groups in polyaniline together with the NH and C=O functional groups in nylon‐6 make the polyaniline‐nylon‐6 nanofiber composite a suitable candidate for the extraction of volatiles and semivolatiles. The extracted constituents were desorbed and injected into the GC–MS system under the optimum conditions. Chemometric resolution techniques were utilized to solve the baseline offset, asymmetric peaks, and overlapped peaks problems that arise from GC–MS analysis. By means of these techniques and resolving the overlapped peak clusters, the number of identified constituents was increased to 67 compounds. The major released constituents from the intact marjoram leaves are 4‐terpineol, β‐linalool, cis‐sabinol, and trans‐geraniol.     

A novel tetraphenylethylene derivative: 4‐methyl‐N‐[3‐(1,2,2‐triphenylethenyl)phenyl]benzenesulfonamide with aggregation‐induced emission

The novel tetraphenylethylene derivative 4‐methyl‐N‐[3‐(1,2,2‐triphenylethenyl)phenyl]benzenesulfonamide (abbreviated as MTBF), C₃₃H₂₇NO₂S, was synthesized successfully and characterized by single‐crystal X‐ray diffraction, high‐resolution mass spectroscopy and ¹H NMR spectroscopy. MTBF crystallizes in the centrosymmetric monoclinic space group P2₁/c. In the crystal structure, the MTBF molecules are connected into a one‐dimensional band and then a two‐dimensional sheet by hydrogen bonds of the N—H…O and C—H…O types. The sheets are further linked to produce a three‐dimensional network via C—H…π interactions. The molecules aggregate via these intermolecular forces, which restrain the intramolecular motions (RIM) and decrease the energy loss in the aggregation state, so as to open the radiative channels, and thus MTBF exhibits excellent fluorescence by aggregation‐induced emission (AIE) enhancement.     

三唑嘧啶衍生物的催化制备方法

本文报道了三唑嘧啶酮类化合物的催化合成方法。烷基胺与氰基亚胺硫代二甲酯在季氨盐催化作用下得到质量好、收率高的3-烷氨基-5-氨基-1,2,4-三氮唑,进一步经过亚胺中间体并与α,β-不饱和酸酯作用后,中间产物在Lewis酸催化作用下水解得到三唑嘧啶酮。该催化方法成本低,反应条件温和,工艺安全并对环境友好。同时报道了所有中间产物的核磁共振氢谱分析结果。     

小波包分析用于重叠分析化学信号的处理

对小波包分析的算法进行了改进,并将此算法成功地应用于多组分重叠色谱信号的解析.结果表明,本文提出的算法解决了MRSD算法的不足,更适合处理分析化学信号,用于重叠信号的解析时不需重构(逆变换),简化了数据处理步骤,加快了数据解析速度,具有较强的解析能力.对于重叠色谱信号的解析,小波包分析比小波分析具有更强的解析能力.     

化学信号的近似高阶导数计算

提出了化学信号近似四阶导数计算的新方法——小波卷积法。该法通过信号与二阶样条小波函数的卷积运算对信号求导,能用于高噪音信号的直接求导,避免了普通导数运算将噪音放大的缺陷,即使对信噪比低至0．5的信号也能得到光滑的导数信号。详细讨论了尺度值、噪音、信号类型对求导的影响并建立了参数确定规则。将该法用于含噪音重叠分析化学信号的求导,能同时提高信号的分辨率和信噪比,结果满意。     

The mathematics of functional differentiation under conservation constraint

The mathematics of K-conserving functional differentiation, with K being the integral of some invertible function of the functional variable, is clarified. The most general form for constrained functional derivatives is derived from the requirement that two functionals that are equal over a restricted domain have equal derivatives over that domain. It is shown that the K-conserving derivative formula is the one that yields no effect of K-conservation on the differentiation of K-independent functionals, which gives the basis for its generalization for multiple constraints. Connections with the derivative with respect to the shape of the functional variable and with the shape-conserving derivative, together with their use in the density-functional theory of many-electron systems, are discussed. Yielding an intuitive interpretation of K- conserving functional derivatives, it is also shown that K-conserving derivatives emerge as directional derivatives along K-conserving paths, which is achieved via a generalization of the Gateaux derivative for that kind of paths. These results constitute the background for the practical application of K-conserving differentiation.      

2nd-order spline wavelet convolution method in resolving chemical overlapped peaks

A 2nd-order spline wavelet convolution method in resolving overlapped peaks is developed. It determines the number of peaks, peak positions and width through wavelet's convolution, then uses spline function to construct the resoluter, which is used to resolve overlapped peaks. Theoretical proof is given, and the selections of wavelets and parameters are discussed. It is proven that baseline separation can be achieved after processed, the relative errors of peak position and area are less than 0.2% and 4.0% respectively. It can be directly applied to seriously overlapped signals, noisy signals and multi-component signals, and the results are satisfactory. It is a novel effective method for resolution.     

Application of Elimination Voltammetry to the Resolution of Adenine and Cytosine Signals in Oligonucleotides II. Hetero‐Oligodeoxynucleotides with Different Sequences of Adenine and Cytosine Nucleotides

Elimination voltammetry with linear scan (EVLS) was applied to the resolution of reduction signals of adenine (A) and cytosine (C) residues in short synthetic hetero‐oligodeoxynucleotides (ODNs) with different sequences of A and C. The EVLS evaluation required linear sweep voltammograms measured on a hanging mercury drop electrode (HMDE) at different scan rates. Compared to linear sweep voltammetry (LSV) and usual voltammetric methods the EVLS is capable of resolving the overlapped A and C signals, specifically by using the elimination function which eliminates the charging and kinetic currents (I_c, I_k) and conserves the diffusion current (I_d). Since for an adsorbed electroactive substance this elimination function yields a well readable peak–counterpeak signal, the adsorptive stripping (AdS) procedure was favorably used. The adsorption of ODNs was carried out at ?0.1 V for accumulation time of 120 s under stirring. It was found that heights and potentials of LSV signals were affected by ODNs concentrations, pH, scan rates, time of accumulation, and stirring speed during the adsorption. While on LSV curves the only one reduction peak of A and C residues was observed in all ODNs, the EVLS yielded two separated peaks in dependence on A, C sequences and pH. Our results showed that the EVLS in connection with the AdS procedure is a useful tool for qualitative and quantitative studies of short ODNs and a promising sensitive method for the development of electrochemical sensor following the ODN sequences.     

FTIR-spectroscopy as a highly sensitive technique to study adsorption and desorption on ionic film and single crystal surfaces

Sample/spectrum relationships are investigated using both a low resolution rapid-scanning NIR monochromator and a Fourier transform instrument capable of high resolution and are evaluated in terms of whether or not the resolution of the instrument is sufficient for measuring the natural bandwidths corresponding to the sample. Based on the sample/spectrum relationship a criterion is developed which must be followed in order to apply either derivative spectroscopy or deconvolution to enhance the resolution of overlapped bands without generating spectral artifacts.     

Triblock copolymer matrix‐based capillary electrophoretic microdevice for high‐resolution multiplex pathogen detection

Rapid and simple analysis for the multiple target pathogens is critical for patient management. CE‐SSCP analysis on a microchip provides high speed, high sensitivity, and a portable genetic analysis platform in molecular diagnostic fields. The capability of separating ssDNA molecules in a capillary electrophoretic microchannel with high resolution is a critical issue to perform the precise interpretation in the electropherogram. In this study, we explored the potential of poly(ethyleneoxide)‐poly(propyleneoxide)‐poly(ethyleneoxide) (PEO‐PPO‐PEO) triblock copolymer as a sieving matrix for CE‐SSCP analysis on a microdevice. To demonstrate the superior resolving power of PEO‐PPO‐PEO copolymers, 255‐bp PCR amplicons obtained from 16S ribosomal RNA genes of four bacterial species, namely Proteus mirabilis, Haemophilus ducreyi, Pseudomonas aeruginosa, and Neisseria meningitidis, were analyzed in the PEO‐PPO‐PEO matrix in comparison with 5% linear polyacrylamide and commercial GeneScan? gel. Due to enhanced dynamic coating and sieving ability, PEO‐PPO‐PEO copolymer displayed fourfold enhancement of resolving power in the CE‐SSCP to separate same‐sized DNA molecules. Fivefold input of genomic DNA of P. aeruginosa and/or N. meningitidis produced proportionally increased corresponding amplicon peaks, enabling correct quantitative analysis in the pathogen detection. Besides the high‐resolution sieving capability, a facile loading and replenishment of gel in the microchannel due to thermally reversible gelation property makes PEO‐PPO‐PEO triblock copolymer an excellent matrix in the CE‐SSCP analysis on the microdevice.     

Synthesis and Characterization of Lu3N@C80O

Oxygenated hollow cage fullerenes have been intensively studied due to their applications in biomedicine in recent years. Clusterfullerenes have become a focus of endohedral fullerene researches for their exceptionally high yield and thermal stabilities. However, oxide derivatives of clusterfullerene remain unexplored to date. Herein, we present the photochemical synthesis of an oxide derivative of clusterfullerene, Lu₃N @C₈₀O , for the first time. The compound was characterized by matrix‐assisted laser desorption ionization time‐of‐flight mass spectrometry, UV –vis‐NIR , cyclic voltammetry, and FTIR spectroscopy. The results suggest that one oxygen atom bridges with the fullerene cage after the oxidation of Lu₃N @C₈₀ . Moreover, the oxidation has a major impact on the electrochemical behavior of Lu₃N @C₈₀ .     

Importance of the Anchor Group Position (Para versus Meta) in Tetraphenylmethane Tripods: Synthesis and Self‐Assembly Features

The efficient synthesis of tripodal platforms based on tetraphenylmethane with three acetyl‐protected thiol groups in either meta or para positions relative to the central sp³ carbon for deposition on Au (111) surfaces is reported. These platforms are intended to provide a vertical arrangement of the substituent in position 4 of the perpendicular phenyl ring and an electronic coupling to the gold substrate. The self‐assembly features of both derivatives are analyzed on Au (111) surfaces by low‐temperature ultra‐high‐vacuum STM, high‐resolution X‐ray photoelectron spectroscopy, near‐edge X‐ray absorption fine structure spectroscopy, and reductive voltammetric desorption studies. These experiments indicated that the meta derivative forms a well‐ordered monolayer, with most of the anchoring groups bound to the surface, whereas the para derivative forms a multilayer film with physically adsorbed adlayers on the chemisorbed para monolayer. Single‐molecule conductance values for both tripodal platforms are obtained through an STM break junction experiment.     

A Pencil Graphite Electrode In Situ Modified by Monovalent Copper: a Promising Tool for the Determination of Methylxanthines

A pencil graphite electrode (PeGE) exhibits a promising tool for the electrochemical analysis of xanthine (Xan) and its N‐methyl derivatives (1‐, 3‐, 7‐ and 9‐mXan). The changes in their level in blood, serum, urine, as products of purine catabolism, can indicate the development of some diseases. Sensitivity‐enhanced voltammetric detection of mXans was achieved by forming of complex with Cu(I) and application of elimination procedure. The Cu(I)‐mXan complex was identified by means of titration of electrochemically produced cuprous ions by mXan. Our approach enables separation of overlapped mXan oxidation signals. Based on the obtained results, we found that the effect of methyl group position on the xanthine skeleton was significant and it was also discussed.     

Comparative Spectrophotometric,Spectrofluorometric, and High‐performance Liquid Chromatographic Study for the Quantitative Determination of the Binary Mixture Felodipine and Ramipril in Pharmaceutical Formulations

Abstract

Two‐component mixtures of felodipine (FLD) and ramipril (RMP) were assayed by derivative UV spectrophotometry, spectrofluorometry, and high performance liquid chromatography (HPLC). The spectrophotometric methods included a zero‐crossing first‐ and second‐order derivative procedure and a derivative compensation technique for the determination of binary mixtures with overlapping spectra. The spectrofluorometric method was based on first‐ and second‐order derivatives of the emission spectra (zero‐crossing point). Results from these methods were compared with those obtained by an exclusively developed isocratic reversed phase HPLC method. A reversed‐phase Adsorbosil DS analytical column, with methanol‐acetonitrile‐water (50∶30∶20, v/v) mobile phase at a flow rate of 1.5 ml/min, was used with a UV detector. The temperature was set at 25±0.2°C. Results obtained by the spectrophotometric and spectrofluorometric methods were comparable to those obtained by the HPLC method, as far as analysis of variance (ANOVA) test results were concerned. It is concluded that the developed methods are equally accurate, sensitive, and precise; with direct and simple application to pharmaceutical formulations of felodipine and ramipril combination, without interference from common pharmaceutical adjuvants.     

Design,Preparation and Application of a New π‐Basic Chiral Stationary Phase for the Liquid Chromatographic Separation of Enantiomers

A new reciprocal π‐basic chiral stationary phase (CSP) was designed based on the reciprocity conception of chiral recognition and prepared starting from (S)‐leucine. The CSP thus prepared was applied in resolving various π‐acidic N‐(3,5‐dinitrobenzoyl)‐α‐amino amides and esters and found to be very effective. Especially, N‐(3,5‐dinitrobenzoyl)‐α‐amino N,N‐dialkyl amides were resolved very well on the new reciprocal CSP. From the chromatographic resolution results and based on the reciprocity conception of chiral recognition with the aid of Corey/Pauling/Koltan (CPK) molecular model studies, a chiral recognition mechanism which utilizes π‐π interaction and simultaneously two hydrogen bonding interactions between the CSP and the analyte has been proposed. The CSP prepared in this study was also successful in resolving 3,5‐dinitrophenylcarbamate derivatives of 2‐hydroxycarboxylic acid esters.     

Differentiability of Lieb functional in electronic density functional theory

A solid understanding of the Lieb functional F_L is important because of its centrality in the foundations of electronic density functional theory. A basic question is whether directional derivatives of F_L at an ensemble‐V‐representable density are given by (minus) the potential. A widely accepted purported proof that F_L is Gâteaux differentiable at EV‐representable densities would say, “yes.” But that proof is fallacious, as shown here. F_L is not Gâteaux differentiable in the normal sense, nor is it continuous. By means of a constructive approach, however, we are able to show that the derivative of F_L at an EV‐representable density ρ₀ in the direction of ρ₁ is given by the potential if ρ₀ and ρ₁ are everywhere strictly greater than zero, and they and the ground state wave function have square integrable derivatives through second order. © 2007 Wiley Periodicals, Inc. Int J Quantum Chem, 2007