Real wavefunction from Generalised Hamiltonian Schrodinger Equation in quantum phase space via HOA (Heaviside Operational Ansatz): exact analytical results

This note reports the decomposition of a complex wavefunction into real and imaginary parts via the Heaviside Operational Ansatz (HOA) in the Quantum Phase Space Representation; this for a Complex Schrodinger Equation (CSE) generated by a given Generalised Hamiltonian. Consequently, the CSE is re-cast as a two-component Real Schrodinger Equation (RSE) system that couples the real and imaginary parts of the complex wavefunction from the original CSE. By way of the HOA, the resulting real and imaginary parts of the complex wavefunction may be expressed in terms of each other: the ‘upshot’ being the de-coupling of the two-component system into a separate new RSE for the real part and a new separate RSE for the imaginary part, of the original CSE complex wavefunction. It follows that the new de-coupled RSE for the real (respectively imaginary) part of the original complex wavefunction is ‘informationally-equivalent’ to the new de-coupled RSE for the imaginary (respectively real) part of the original complex wavefunction. Moreover, each of these RSEs for the aforementioned real wavefunctions is also ‘informationally-equivalent’ to the original CSE and it’s complex wavefunction. What’s more, consequent of HOA, the real wavefunctions each have exact analytical expression in quadrature (integral form).     

Toward chemical applications of Heaviside Operational Ansatz: exact solution of radial Schrodinger equation for nonrelativistic N-particle system with pairwise {\frac{1}{r_{ij}}} radial potential in quantum phase space

This brief note presents the exact analytical solution of an example class of dynamical systems, realized by differential equations. These problems occur in quantum mechanics and their generalizations in theoretical physics, but they particularly find application to chemical systems. Addressed is the exact analytical solution of the radial Schrodinger equation for the nonrelativistic N-particle system with pairwise ${\frac{1}{r_{ij}}}$ radial potential dynamics in the quantum phase space representation (QPSR) (Torres-Vega, Frederick, J. Chem. Phys. 98 3103, 1993). Applying the formal symbolic solution scheme Heaviside Operational Ansatz (heretofore, HOA) put forward in (Electron. J. Theor. Phys. 1 , 10–16, 2004), reduces solution of the radial Schrodinger equation to exact quadratures.     

Higher excitations for an exponential multireference wavefunction Ansatz and single-reference based multireference coupled cluster Ansatz: application to model systems H(4), P(4), and BeH(2)

This article reports on the convergence of the exponential multireference wavefunction Ansatz (MRexpT) [J. Chem. Phys. 123, 84102 (2005)] and the single-reference based multireference coupled cluster Ansatz [J. Chem. Phys. 94, 1229 (1991)] with respect to higher cluster excitations. The approaches are applied to the H(4), P(4), and BeH(2) model systems according to the recently published analysis by Evangelista et al. [J. Chem. Phys. 125, 154113 (2006)]. The results show both MRexpT and SRMRCC to be highly accurate although SRMRCC shows problems due to its lack of Fermi vacuum invariance (symmetry breaking).     

Recent advances in synthesis and analysis of Fe(VI) cathodes: solution phase and solid-state Fe(VI) syntheses,reversible thin-film Fe(VI) synthesis,coating-stabilized Fe(VI) synthesis,and Fe(VI) analytical methodologies

Fe(VI) batteries based on unusual ferrate cathodic charge storage have been studied for quite a few years. So far, a class of Fe(VI) compounds have been successfully synthesized and studied as the cathodic materials in both alkaline and nonaqueous battery systems. This paper provides a summary of the syntheses of a range of Fe(VI) cathodes including the alkali Fe(VI) salts Li₂FeO₄, K _x Na_(2?x)FeO₄, K₂FeO₄, Rb₂FeO₄, Cs₂FeO₄, as well as alkali earth Fe(VI) salts CaFeO₄, SrFeO₄, BaFeO₄, and a transition metal Fe(VI) salt Ag₂FeO₄. Two synthesis routes summarized in this paper are the solution phase synthesis and the solid-state synthesis. Preparation of coating-stabilized (coated with KMnO₄, SiO₂, TiO₂, or ZrO₂) Fe(VI) cathodes and preparation of thin-film reversible Fe(VI/III) cathodes are also presented. Fe(VI) analytical methodologies summarized in this paper include Fourier transform infrared spectrometry, titrimetric (chromite), ultraviolet-visible spectroscopy, X-ray diffraction, inductively coupled plasma spectroscopy, Mössbauer spectrometry, potentiometric, galvanostatic, and cyclic voltammetry. Cathodic charge transfer of Fe(VI) is also briefly presented.     

Prompt gamma neutron activation analysis (PGAA): recent developments and applications

Journal of Radioanalytical and Nuclear Chemistry - Prompt gamma neutron activation analysis has become an important part of the analytical toolkit, practiced at several research reactors worldwide....     

Toward decentralized analysis of mercury (II) in real samples. A critical review on nanotechnology-based methodologies

In recent years, it has increased the number of works focused on the development of novel nanoparticle-based sensors for mercury detection, mainly motivated by the need of low cost portable devices capable of giving fast and reliable analytical response, thus contributing to the analytical decentralization. Methodologies employing colorimetric, fluorometric, magnetic, and electrochemical output signals allowed reaching detection limits within the pM and nM ranges. Most of these developments proved their suitability in detecting and quantifying mercury (II) ions in synthetic solutions or spiked water samples. However, the state of art in these technologies is still behind the standard methods of mercury quantification, such as cold vapor atomic absorption spectrometry and inductively coupled plasma techniques, in terms of reliability and sensitivity. This is mainly because the response of nanoparticle-based sensors is highly affected by the sample matrix. The developed analytical nanosystems may fail in real samples because of the negative incidence of the ionic strength and the presence of exchangeable ligands. The aim of this review is to critically consider the recently published innovations in this area, and highlight the needs to include more realistic assays in future research in order to make these advances suitable for on-site analysis.     

Comparison of close-coupling and approximate methods for F(2P12) + H2 non-reactive collisions: Translational wavefunction analysis

Electronic-rotational energy transfer in F(²P_{$\text{1}\text{2}$}) + H₂ (j = 0) non-reactive collisions is studied by analyzing the translational wavefunctions (TW) and transition probabilities of four model problems: full close-coupling (CC), diabatic (DDW) and adiabatic (ADW) distorted-wave Born theories, and an asymptotic sine-wave model. Comparisons among the approximate models are discussed and their accuracy is examined. DIM theory provides the diabatic electronic matrix elements, and the close-coupled equations are solved by the R-matrix method. The resulting S-matrix elements times their appropriate asymptotic wavefunctions when propagated in along the reaction coordinate generate the TW. For the CC results, relations between the TW and the adiabatic electrotational energy correlation diagrams are emphasized, while for the other models the effects of classical turning points, diabatic energy level structure, unitarization techniques, and other dynamical factors on the state-to-state transition probabilities are examined.     

A novel fluorescent distinguished probe for Cr (VI) in aqueous solution

Salicylaldehyde rhodamine B hydrazone (SRBH) was developed as a new spectrofluorimetric probe for the selective and sensitive detection of CrO₄²⁻ in acidic conditions. The proposed method was based on the special oxidation reaction between non-fluorescent SRBH by potassium dichromate to produce a highly fluorescent rhodamine B, as a product. Under the optimum conditions described, the fluorescence enhancement at 591 nm was good linearly related to the concentration of CrO₄²⁻ from 1.0 × 10⁻⁸ to 3.0 × 10⁻⁷ M (0.42–12.6 ng mL⁻¹) with a correlation coefficient of R² = 0.9989 (n = 10) and a detection limit of 1.5 × 10⁻⁹ M (0.063 ng mL⁻¹). The relative standard deviation (R.S.D.) was 2.0% (n = 6). The proposed method was also successfully applied to the determination of chromium (VI) in drinking water, river water and synthetic samples.     

Mn(II) complexes of novel hexadentate AAZTA-like chelators: a solution thermodynamics and relaxometric study

Three novel chelators based on the 6-amino-6-methylperhydro-1,4-diazepine scaffold and possessing three pendant N-acetic or N-α-methylacetic acid have been synthesised. The ligands contain six donor atoms for complexation of Mn(II) ions and thus potentially leave an additional site for coordination of a water molecule. The protonation constants of the ligands and the stability constants of their complexes formed with Mn(II) ion were determined by pH-potentiometric titrations in 0.15 M NaCl solution at 25 °C and compared to those of the parent AAZTA ligand (AAZTA = 6-amino-6-methylperhydro-1,4-diazepine tetraacetic acid). In spite of the similar value of the total basicity (Σlog K), the values of the stability constants of the Mn(II)AAZTA-like complexes are more than three orders of magnitude lower than that of MnAAZTA (log K(MnL) = 14.19). A detailed (1)H and (17)O NMR relaxometric study was carried out on the Mn(II) complexes in aqueous solution as a function of pH, temperature and magnetic field strength. The (1)H NMRD profiles of all the complexes show a similar shape, typical of low-molecular weight systems, but amplitudes that markedly differ to indicate a different degree of hydration. A similar behaviour is shown by the (17)O NMR transverse relaxation rates and chemical shift data as a function of temperature. The experimental data can be rationalised by considering the presence in solution of a mixture of two isomeric species differing in coordination number (7 and 6) and in the number (1 and 0) of bound water molecules. Whereas this type of coordination equilibrium has been previously reported for lanthanide(III) complexes, it is observed for the first time on Mn(II) chelates.     

A novel fluorescent chemosensor for Cu(II) in aqueous solution based on a β-aminobisphosphonate receptor

A novel β-aminobisphosphonate receptor has been combined with naphthalene in the fluorophore-spacer-receptor format of a typical photoinduced electron transfer (PET) based sensor. The sensor was synthesised in two steps by first reacting aminomethylnaphthalene with diethyl vinylphosphonate to produce the parent tetraester, followed by deprotection with bromotrimethylsilane to afford the desired sensor. The fluorescence emission of the sensor was observed to remain ‘On’ over a wide pH range (2-10). Cu(II) was found to bind strongly to the sensor resulting in an ‘On-Off’ fluorescent response with sensitivity in the μM range.     

p-Dimethylaminobenzaldehyde thiosemicarbazone: a simple novel selective and sensitive fluorescent sensor for mercury(II) in aqueous solution

A novel and simple fluorophore, p-dimethylaminobenzaldehyde thiosemicarbazone (DMABTS), was prepared in order to find available fluorescent chemosensor for mercuric ion in aquesous solution. DMABTS emitted fluorescence at 448 nm in aqueous solution and its fluorescence intensity was completely quenched upon interaction with Hg²⁺ ions, which should be attributed to the 1:1 complex formation between DMABTS and Hg²⁺. The binding constant of the complex was determined as 7.48 × 10⁶ mol l⁻¹. The linear range of quantitative detection of 0 to 5.77 × 10⁻⁶ mol l⁻¹ and the detection limit of 7.7 × 10⁻⁷ mol l⁻¹ for Hg²⁺ in the 6.3 × 10⁻⁶ mol l⁻¹ DMABTS aqueous solution were obtained from a calibration curve. The coexistence of several transition metal ions and anions did interfere the fluorometric titration of Hg²⁺ ion by less than 4% in the emission change.     

Capillary electrophoresis in pharmaceutical analysis: a survey on recent applications

Capillary electrophoresis (CE) has a significant role in drug discovery and manufacturing processes and has a potential to grow further, due to new developments that can provide highly sensitive and high throughput analysis. This review illustrates recent applications of CE in pharmaceutical analysis (2005-present). The history, principles, instruments, and conventional modes of CE are briefly described. Applications for drug analysis by various techniques of CE are presented in six tables: capillary zone electrophoresis (CZE) (Table I), micellar electrokinetic chromatography (MEKC) and microemulsion electrokinetic chromatography (MEEKC) (Table II), non-aqueous CE (NACE) (Table III), chiral CE (Table IV), CE-mass spectrometry (MS) microchip CE (Table V), and multiplexed CE (MCE) (Table VI).     

Spectra analysis of Nd(DBM)3(TPPO)2 in MMA solution and PMMA matrix

The absorption spectra of Nd(DBM)3(TPPO)2 (DBM = dibenzoylmethane; TPPO = triphenylphosphine oxide) in methyl methacrylate (MMA) and polymethyl methacrylate (PMMA) were measured. Slater-Condon parameters (F2, F4, F6), Lander parameter (zeta4f), nephelauxetic effect parameters (beta, delta) and Judd-Ofelt parameters (Omega2, Omega4, Omega6) were calculated on the basis of the absorption spectra. Analysis of the relationship between the structure of rare-earth complexes and the nephelauxetic effect, Judd-Ofelt parameter Omega2 was carried out. The radiative properties of Nd(DBM)3(TPPO)2 in PMMA were also predicted according to the Judd-Ofelt theory. The values of the radiative lifetime and the emission cross-section of 4F3/2 --> 4I11/2 fluorescence transition are comparable with those shown by glasses used in the solid-state laser applications.     

Influence of extraction methodologies on the analysis of five major volatile aromatic compounds of citronella grass (Cymbopogon nardus) and lemongrass (Cymbopogon citratus) grown in Thailand

This paper deals with the systematic comparison of extraction of major volatile aromatic compounds (VACs) of citronella grass and lemongrass by classical microhydrodistillation (MHD), as well as modern accelerated solvent extraction (ASE). Sixteen VACs were identified by GC/MS. GC-flame ionization detection was used for the quantification of five VACs (citronellal, citronellol, geraniol, citral, and eugenol) to compare the extraction efficiency of the two different methods. Linear range, LOD, and LOQ were calculated for the five VACs. Intraday and interday precisions for the analysis of VACs were determined for each sample. The extraction recovery, as calculated by a spiking experiment with known standards of VACs, by ASE and MHD ranged from 64.9 to 91.2% and 74.3 to 95.2%, respectively. The extraction efficiency of the VACs was compared for three solvents of varying polarities (hexane, dichloromethane, and methanol), seven different temperatures (ranging from 40 to 160 degrees C, with a gradual increment of 20 degrees C), five time periods (from 1 to 10 min), and three cycles (1, 2, and 3 repeated extractions). Optimum extraction yields of VACs were obtained when extractions were carried out for 7 min with dichloromethane and two extraction cycles at 120 degrees C. The results showed that the ASE technique is more efficient than MHD, as it results in improved yields and significant reduction in extraction time with automated extraction capabilities.     

Heterogeneous equilibrium between solution and slightly soluble compound in flow injection analysis: Platinum(IV) determination

Summary A new principle of flow injection analysis using a precipitation reaction is suggested. It is based on a change of the equilibrium between solution and slightly soluble compound when passing the solution studied through a reaction column, containing a slightly soluble compound. H₂PtCl₆ is determined with a column containing Tl₂PtCl₆. The detection is performed by the current of thallium(I) oxidation to thallium(III) on a platinum electrode. Two different flow injection schemes are used. The determination of platinum(IV) is applied to platinum analysis in spent industrial alumoplatinum catalysts.     

A novel molecular association of poly (acrylic acid) in dilute solution under high shear flow

A novel association of poly(acrylic acid) in dilute solution is induced by high shear flow, producing a rigid chain morphology via interchain H-bonding; the association is destroyed upon adding salt to the shearing solution. Such macromolecular changes in conformation are reflected in drag reduction changes as a result of flow-polymer interaction.     

近两年国内气相色谱的应用进展(Ⅲ)

对近两年国内各个领域的学者在气相色谱方面的研究和应用作了综述,本综述分3部分叙述,本篇为第 部分,包括:8.气相色谱在食品功效成分和其他成分分析中的应用,9.气相色谱酒分析中的应用,1 0 .气相色谱在污染物分析中的应用,1 1 .气相色谱在石油、石油化工分析中的应用,1 2 .气相色谱在化学品生产分析中的应用     

Quantitative Series Enrichment Analysis (QSEA): a novel procedure for 3D-QSAR analysis

A novel procedure is proposed for 3D-QSAR analysis. The composition of 16 published QSAR datasets has been examined using Quantitative Series Enrichment Analysis (QSEA). The procedure is based on topomer technologies. A heatmap display in combination with topomer CoMFA and a novel series trajectory analysis revealed critical information for the assembly of structures into meaningful series. Global and local centroid structures can be determined from a similarity distance matrix and build the origins for stepwise model building by increasing the similarity radius around the centroid nucleus. The results indicate that the new procedure allows determination of whether compounds belong to an emerging structure-activity relationship and which compounds can be predicted within reliable limits.