A general expression for matrix elements of reciprocal powers of the displacement coordinateq in the harmonic oscillator basis

A formula is derived that allows one to determine the matrix elements of an arbitrary integral reciprocal power of the dimensionless displacement coordinate q of the harmonic oscillator from those ofq ^–1 in an exact manner. This relation is obtained from the use of the chain rule and irreducible tensors expressed in terms of the creation and annihilation operators of the harmonic oscillator.     

Influence of correlations on the trajectories of zeroes of the matrix elements for bound–bound and bound–free transitions in electron scattering

The topology of the trajectories of the zeroes of the electron scattering matrix elements has been obtained in the Born approximation. At small-momentum transfer, K the behaviour of the trajectories depends on the positions and the number of Cooper minima. We demonstrate strong correlation effects in this K area. At the high momentum, the positions of the zeroes depend only slightly on the energy transfer to the atomic electron, and correlation effects are not important.     

Improved parameterization of the quantum harmonic oscillator model based on localized wannier functions to describe Van der Waals interactions in density functional theory

Recently, the quantum harmonic oscillator model has been combined with maximally localized Wannier functions to account for long‐range dispersion interactions in density functional theory calculations (Silvestrelli, J. Chem. Phys. 2013, 139, 054106). Here, we present a new, improved set of values for the three parameters involved in this scheme. To test the new parameter set we have computed the potential energy curves for various systems, including an isolated Ar2 dimer, two N2 dimers interacting within different configurations, and a water molecule physisorbed on pristine graphene. While the original set of parameters generally overestimates the interaction energies and underestimates the equilibrium distances, the new parameterization substantially improves the agreement with experimental and theoretical reference values. © 2016 Wiley Periodicals, Inc.     

Determination of rare earth element in carbonate using laser-ablation inductively-coupled plasma mass spectrometry: an examination of the influence of the matrix on laser-ablation inductively-coupled plasma mass spectrometry analysis

In this study, we examined the influence of the matrix on rare earth element (REE) analyses of carbonate with laser-ablation inductively-coupled plasma mass spectrometry (LA-ICP-MS) using carbonate and NIST glass standards. A UV 213 nm Nd:YAG laser system was coupled to an ICP-MS. Laser-ablation was carried out in both He and Ar atmospheres to investigate the influence of ablation gas on the analytical results. A small amount of N₂ gas was added to the carrier gas to enhance the signal intensities. Synthetic CaCO₃ standards, doped with REEs, as well as NIST glasses (NIST SRM 610 and 612) were used as calibration standards. Carbonatite, which is composed of pure calcite, was analyzed as carbonate samples. The degree of the influence of the matrix on the results was evaluated by comparing the results, which were calibrated by the synthetic CaCO₃ and NIST glass standards. With laser-ablation in a He atmosphere, the differences between the results calibrated by the synthetic CaCO₃ and NIST glass standards were less than 10% across the REE series, except for those of La which were 25%. In contrast, for the measurements made in an Ar atmosphere, the results calibrated by the synthetic CaCO₃ and NIST glass standards differed by 25-40%. It was demonstrated that the LA-ICP-MS system can provide quantitative analysis of REE concentrations in carbonate samples using non matrix-matched standards of NIST glasses.     

Derivation of shell effects and magic numbers in metal clusters by the application of Strutinsky's method to the Clemenger–Nilsson and q‐deformed 3‐D harmonic oscillator models

Strutinsky's standard averaging method is applied to metal clusters described by two different potentials—Clemenger–Nilsson (CN) and q‐deformed 3‐D (Q3D) harmonic oscillator (HO). In addition, a new approximate fitting formula—of the liquid drop model type—is derived for the smooth part of the energy. The results obtained for the oscillating part of the energy (shell correction term) with the two cluster potentials through the two averaging methods are compared and discussed. It is found that with both CN and Q3D HO potentials the standard and approximate methods give similar results for clusters with a large number of particles, whereas for smaller clusters significant differences appear. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002     

罗布泊地貌地质遗迹中某些元素的分析

用中子活化分析法测试了新疆罗布泊地区地质样品中的某些痕量、微量及常量元素含量,特别是对样品中放射性元素作了检测。结果表明,该地区的地质遗迹样品中,痕量、微量及常量元素的含量与中国大陆地壳中的含量相当,无明显的放射性异常;把这些样品当作建筑材料的原材料来使用,是安全的;通过对这些样品的检测分析,为该地区的化探普查提供了可靠的依据。     

Inductively coupled plasma optical emission spectrometric determination of trace elements in sediments after sequential selective extraction: effects of reagents and major elements on the analytical signal

The interfering effects due to the reagents and matrix elements associated with a four step sequential extraction procedure on ICPOES determination of trace elements were investigated in a systematic way. The emission lines were selected in order to include the most interesting elements for environmental studies (Zn, Pb, Ni, Cr, V and Cu) and the concentrations ranged according with the values occurring in the real samples. In order to distinguish between chemical and physical interfering effects, the Mg 280.270–Mg 285.213 line intensity ratio was measured, in each condition. Both pneumatic and ultrasonic nebulization were considered for comparison. It was found that both the elements which constitute the sample and the reagents which are added during the sample preparation steps significantly influence the emission intensity of all the analytes, depending on the analytical concentration and the nebulization system. Generally, the signal variations were higher with ultrasonic nebulization. Concerning the interference mechanism, it was found that the effect of the major elements (Na, K, Mg, Ca, Al and Fe) is essentially related to a change of the aerosol generation and transport processes. Differently, acetic acid, ammonium acetate and hydroxylamine hydrochloride significantly improved the plasma excitation conditions, depending on their concentration. A change of the sample introduction efficiency due to the presence of these reagents was also evident. On the contrary, the effect of hydrochloric and nitric acid emerged to be related only to the processes occurring in the sample introduction system.     

Effect of sample matrix on the determination of total petroleum hydrocarbons (TPH) in soil by gas chromatography–flame ionization detection

Research papers in different fields of analytics indicate that the effect of matrix-induced chromatographic response enhancement (matrix effect) is a commonly encountered problem in gas chromatography applications. In this paper, an example of the effect of sample matrix on the quantitative determination of total petroleum hydrocarbons (TPH) by GC–FID in soil is presented. Two types of soil were selected for the evaluation. Extraction and analysis of the soil samples was in accordance with CEN prEN 14039. The relative systematic error resulting from the matrix effect was obtained for three different TPH concentrations by statistical comparison of the slopes of the matrix-matched calibration lines and a pure solvent calibration line. Too high TPH concentrations were obtained when conventional solvent calibration was used for quantitation. This demonstrates that matrix-matched calibration should be exploited in the determination of petroleum hydrocarbons in soil samples. However, there was also significant enhancement of the response due to an interfering matrix with decreasing analyte concentration. Enhancement seems to be especially evident in the quantification of TPH over the concentration range encountered in polluted environments. As a result, even when matrix-matched calibration is used for quantitation, it is still necessary to establish the range over which a linear response can be expected. Otherwise too high results for sample TPH concentrations will be obtained.     

丙型病毒性肝炎感染者头发中部分微量元素的研究

为探讨丙型肝炎病毒(HCV)感染者头发部分微量元素含量的变化,用原子吸收分光光度计分别测定了HCV感染者和正常人头发中的微量元素Zn、Fe、Se含量。结果表明,抗-HCV阳性组及HCV患者组发Zn含量低于正常对照组,经统计学检验,具有高度显著性差异(P<0.01);而丙肝患者组的Fe含量显著高于健康对照组。丙肝患者组头发Se含量低于健康对照组,具有显著性差异(P<0.01)。提示微量元素Zn、Fe、Se与病毒性肝炎存在密切关系。     

A magnesium hydroxide preconcentration/matrix reduction method for the analysis of rare earth elements in water samples using laser ablation inductively coupled plasma mass spectrometry

This paper describes a simple method for simultaneous preconcentration and matrix reduction during the analysis of rare earth elements (REEs) in water samples through laser ablation inductively coupled plasma mass spectrometry (LA-ICP-MS). From a systematic investigation of the co-precipitation of REEs using magnesium hydroxide, we optimized the effects of several parameters - the pH, the amount of magnesium, the shaking time, the efficiency of Ba removal, and the sample matrix - to ensure quantitative recoveries. We employed repetitive laser ablation to remove the dried-droplet samples from the filter medium and introduce them into the ICP-MS system for determinations of REEs. The enrichment factors ranged from 8 to 88. The detection limit, at an enrichment factor of 32, ranged from 0.03 to 0.20 pg mL⁻¹. The relative standard deviations for the determination of REEs at a concentration of 1 ng mL⁻¹ when processing 40 mL sample solution were 2.0-4.8%. We applied this method to the satisfactory determination of REEs in lake water and synthetic seawater samples.     

Enzyme-linked immunosorbent assay and colloidal gold immunoassay for sulphamethazine residues in edible animal foods: investigation of the effects of the analytical conditions and the sample matrix on assay performance

To determine sulphamethazine (SMZ) residues in edible animal foods (pig muscle, chicken muscle, egg, fish, milk and liver), a competitive direct enzyme-linked immunosorbent assay (ELISA) and a colloidal gold immunoassay were established. The limits of detection of the ELISA and the colloidal gold immunoassay were 0.02 and 0.5 μg kg⁻¹, respectively. The specificity of the ELISA developed to the SMZ was high according to the results of cross-reactivity testing with 14 kinds of sulphonamides. To obtain a more sensitive immunoassay, buffer solution (30 mmol L⁻¹ phosphate-buffered saline with 0.05% Tween 20, pH 8.5) was optimized through the whole test procedure. A simple and efficient extraction method for the rapid detection of SMZ residues in foods was developed, with recoveries between 74 and 117.5%. Matrix effects can be avoided by 1:10 dilution of pig muscle, chicken muscle, egg, fish, milk and liver with optimal buffer. The detection limit of SMZ was 5 μg kg⁻¹ in liver and 2 μg kg⁻¹ in the other five samples. For the validation of the ELISA tests, sample extracts were analysed by ELISA and high-performance liquid chromatography. The results obtained by these two methods showed a good correlation (r ²) which was greater than 0.9. The colloidal gold immunoassay presented in this assay was successfully applied to determine SMZ in pig muscle, milk and fish below or equal to the maximum residue level (20 μg kg⁻¹).     

支气管哮喘发作期血清部分微量元素的研究

对60例支气管哮喘发作患者血清中部分微量元素进行了观察,并同正常人群进行了对照。发现与正常人群有一定的差别。讨论了其原因。     

分子印迹基质固相分散-液相色谱法测定牛奶中的氯霉素残留

以对模板分子具有较强识别特性的分子印迹聚合物为基质固相分散吸附剂, 提取牛奶中痕量氯霉素, 最后用HPLC法测定. 研究了氯霉素分子印迹聚合物对样品中氯霉素的提取和净化效果, 在优化条件下, 方法的检出限为0.15 ng/mL, 定量限为0.50 ng/mL. 不同氯霉素添加量的回收率大于93.2%, RSD＜5.9%. 方法适用于牛奶中氯霉素残留的测定.     

Investigations on the use of pneumatic cross-flow nebulizers with dual solution loading including the correction of matrix effects in elemental determinations by inductively coupled plasma optical emission spectrometry

The use of a so-called trihedral and a T-shaped cross-flow pneumatic nebulizer with dual solution loading for inductively coupled plasma optical emission spectrometry has been studied. By these devices analyte clouds from two solutions can be mixed during the aerosol generation step. For both nebulizers the correction of matrix effects using internal standardization and standard addition calibration in an on-line way was investigated and compared to elemental determinations using a conventional cross-flow nebulizer and calibration with synthetic standard solutions without matrix matching. A significant improvement of accuracy, both for calibration with internal standardization and standard addition, was obtained in the case of four synthetic solutions containing each 40 mmol L^− 1 Na, K, Rb and Ba as matrix elements and 300 μg L^− 1 Cd, Co, Cr, Cu, Fe, Mn, Ni and Pb as analytes. Calibration by standard addition in the case of dual solution loading has been shown to be very useful in the determination of elements at minor and trace levels in steel and alumina reference materials. The results of analysis for minor concentrations of Cr, Cu and Ni in steel as well as for Ca, Fe, Ga, Li, Mg, Mn, Na, Si and Zn in alumina powder certified reference materials subsequent to sample dissolution were found to be in good agreement with the certificates. Limits of detection were found to be only slightly above those for a conventional cross-flow nebulizer and a precision better than 3% was realized with both novel nebulizers.     

Effect of concomitant elements on the distribution of ions in inductively coupled plasma mass spectrometry — part 2: polyatomic ions

The effect of various concomitant elements in inductively coupled plasma mass spectrometry (ICP-MS) was assessed by measuring the distribution of selected polyatomic singly-charged ions, i.e. oxides of selected analytes (LaO⁺ and CeO⁺) as well as some background ions (Ar₂⁺, ArO⁺ and CO₂⁺), in the plasma. This was accomplished while moving the ICP across and away from the sampling interface with or without a single concomitant element. This study included concomitant elements that were similar in ionization potential, but different in mass (Na, K, Cs and Cl, I), as well as similar in mass but different in ionization potential (K and Cl, Cs and I). Space–charge effects were dominant in many cases. However, the axial profiles of the LaO⁺/(La⁺+LaO⁺) ratio, which should be fairly independent of such effects, were only affected by easily ionized elements (E.I.E.s), i.e. alkalis. A shift of the whole axial profile to lower height A.L.C. was observed in the presence of 0.02 M K or Cs, which is strong evidence for earlier desolvation. However, no shift was observed with 0.02 M Na, where the profile was only suppressed at low heights A.L.C., where the electron density would be most affected. This is consistent with a shift in ionization equilibrium. Further evidence for the latter was observed in the Ar₂⁺ axial profiles, which were shifted to greater height A.L.C. in the presence of E.I.E.s. Finally, CO₂⁺ was found to behave like the analyte oxides and the analytes, in contrast to ArO⁺. This implies that CO₂⁺ originates from dissolved carbon dioxide in the sample.     

New method based on combining ultrasonic assisted miniaturized matrix solid-phase dispersion and homogeneous liquid-liquid extraction for the determination of some organochlorinated pesticides in fish

In this study, ultrasonic assisted miniaturized matrix solid-phase dispersion (US-MMSPD) combined with homogeneous liquid–liquid extraction (HLLE) has been developed as a new method for the extraction of organochlorinated pesticides (OCPs) in fish prior to gas chromatography with electron capture detector (GC-ECD). In the proposed method, OCPs (heptachlor, aldrin, DDE, DDD, lindane and endrin) were first extracted from fish sample into acetonitrile by US-MMSPD procedure, and the extract was then used as consolute solvent in HLLE process. Optimal condition for US-MMSPD step was as follows: volume of acetonitrile, 1.5 mL; temperature of ultrasound, 40 °C; time of ultrasound, 10 min. For HLLE step, optimal results were obtained at the following conditions: volume of chloroform, 35 μL; volume of aqueous phase, 1.5 mL; volume of double distilled water, 0.5 mL; time of centrifuge, 10 min. Under the optimum conditions, the enrichment factors for the studied compounds were obtained in the range of 185–240, and the overall recoveries were ranged from 39.1% to 81.5%. The limits of detection were 0.4–1.2 ng g⁻¹ and the relative standard deviations for 20 ng g⁻¹ of the OCPs, varied from 3.2% to 8% (n = 4). Finally, the proposed method has been successfully applied to the analysis of the OCPs in real fish sample, and satisfactory results were obtained.     

Development of a headspace-gas chromatography (HS-GC-PID-FID) method for the determination of VOCs in environmental aqueous matrices: Optimization, verification and elimination of matrix effect and VOC distribution on the Fortaleza Coast, Brazil

An analytical protocol combining a headspace technique with gas chromatography and detection by photoionization detector and flame ionization detector (HS-GC-PID-FID) was developed. This procedure was used to measure volatile organic compounds (VOCs) in environmental aqueous matrices and was applied in determination of VOCs on the coast of Fortaleza, Brazil. At optimum operating conditions, analytical figures of merit such as linearity (R ranged from 0.9983 to 0.9993), repeatability (5.62 to 9.63% and 0.02 to 0.19% for the quantitative and qualitative analyses, respectively), detection limits (0.22 to 7.48 μg L⁻¹) and sensibility were estimated. This protocol favors a fast sampling/sample preparation (in situ), minimizes the use of laboratory material, eliminates the matrix effect from environmental samples, and can be applied to river, estuarine and oceanic waters. The advantage of detectors in series is that a low sensitivity in detection in one is compensated by the other. Toluene was the most abundant VOC in the studied area, with an average concentration of 1.63 μg L⁻¹. It was followed by o-xylene (1.15 μg L⁻¹), trichloroethene (1.08 μg L⁻¹), benzene (0.86 μg L⁻¹), ethylbenzene (0.74 μg L⁻¹), carbon tetrachloride (0.55 μg L⁻¹), m/p-xylene (0.48 μg L⁻¹) and tetrachloroethene (0.46 μg L⁻¹), compounds which are very commonly detected in urban runoff from most cities. The results of the VOC distribution showed that port activity was not the main source of VOCs along the Fortaleza Coast, but that the contribution from urban runoff seemed more significant.