The theorem of Lie and hyperplane subalgebras of Lie algebras

First is presented a proof of Lie's theorem on solvable Lie algebras based on the nonexistence of the Heisenberg commutation relation. This is used to construct an effective procedure for finding all quotients of a given Lie algebra g which are isomorphic to the non-abelian two-dimensional algebra. As a byproduct one gets that the ideal (g) recently introduced by K. H. Hofmann is characteristic if the characteristic of the ground field is zero.     

Poly(ethylene glycol)-coated microfluidic devices for chip electrophoresis

Herein, we report on a strategy for durable modification of the channel surface in microfluidic glass chips with the neutral hydrophilic-coating material poly(ethylene glycol) PEG-1M-100. Applied in microchip electrophoresis such PEG-coated devices exhibit a suppressed electroosmotic flow and reduced analyte adsorption. The PEG-coated chips were successfully applied in chip electrophoresis of FITC-labelled amines and amino acids and native proteins as well as in chiral separations. The performance of the coated chips was found to be superior compared with uncoated microchips. The coated chips exhibited high stability and the relative standard deviation of migration times in PEG-coated devices was less than 2%.     

A direct and simple method of coupling matrix-assisted laser desorption and ionization time-of-flight mass spectrometry (MALDI-TOF MS) to thin-layer chromatography (TLC) for the analysis of phospholipids from egg yolk

Although the most important application of matrix-assisted laser desorption and ionization time-of-flight mass spectrometry (MALDI-TOF MS) is "proteomics," there is growing evidence that this soft ionization method is also useful for phospholipid (PL) analysis. Although all PLs are detectable by MALDI-TOF MS, some lipid classes, particularly those with quaternary amines such as phosphatidylcholines (PCs), are more sensitively detected than others, and these suppress the signals of less sensitively detected PLs when complex mixtures are analyzed. Therefore, a separation of the total organic extract into individual lipid classes is necessary. As MALDI uses a solid sample, the direct evaluation of thin-layer chromatography (TLC) plates is possible. We report here on a method of directly coupling MALDI-TOF MS and TLC that can be easily implemented on commercially available MALDI-TOF devices. A total extract of hen egg yolk is used as a simple PL mixture to demonstrate the capabilities of this method. It will be shown that "clean" spectra without any major contributions from fragmentation products and matrix peaks can be obtained, and that this approach is even sensitive enough to detect the presence of PLs at levels of less than 1% of the total extract.     

Fast quantitative determination of diuretic drugs in tablets and human urine by microchip electrophoresis with native fluorescence detection

Microchip electrophoresis (MCE) with native fluorescence detection has been applied for the fast quantitative analysis of pharmaceutical formulations. For this purpose, methods for fast separation and sensitive detection of the unlabeled diuretic drugs, amiloride, triamterene, bendroflumethiazide (BFMTZ), and bumetanide were developed. An epifluorescence setup was used enabling the coupling of different lasers into a commercial fluorescence microscope. The detection sensitivity of different excitation light sources was compared utilizing either a HeCd laser (lambda(exc) = 325 nm), a frequency quadrupled Nd:YAG laser (lambda(exc) = 266 nm), or a mercury lamp (lambda(exc) = 330-380 nm). At optimal conditions using the HeCd laser, the drugs were separated within 15 s with LODs less than 1 mug/mL for the four compounds. A linear relationship between concentration and peak area was obtained in the concentration range of 0.05-20 microg/mL with a mean correlation coefficient of around 0.996 for all analytes. The method was successfully applied to the analysis of the respective drugs in commercial formulations and in human urine without interference from other constituents. These data show that MCE has a great potential for reliable drug analysis.     

Chip‐based electrochromatography coupled to ESI‐MS detection

In this study, we present the coupling of chip‐based electrochromatography to MS using a glass chip with a monolithically integrated nanoelectrospray emitter. As separation column, an acrylate‐based porous polymer monolith is implemented into the glass chip by photopolymerization. For the establishment and development of this method, we used a test mixture detectable with both fluorescence and ESI‐MS. After successful evaluation of the approach with the test solutes, it was applied exemplarily for drug analysis such as high‐speed separations of benzodiazepines in pharmaceuticals.     

Siliciumverbindungen mit starken intramolekularen sterischen Wechseiwirkungen: XXXII. [2 + 2]Cycloaddition yon Tetra-t-butyidisilen an ein Imin

The azadisilacyclobutane (4) is formed by diastereospecific addition of tetra-t-butyldisilene to the CN double bond of rac-2,5-dihydro-2-isopropyl-5,5-dimethyl-thiazole. The structure of 4 is continned by X-ray crystallography.     

A systematic ab initio study of the equilibrium geometry and vibrational wave numbers of bismuthine

The equilibrium structure and the harmonic and anharmonic force fields of BiH(3) are determined by high-level ab initio calculations using a variety of correlation treatments, basis sets, and pseudopotentials, partly in combination with core polarization potentials. Spin-orbit effects are included by a configuration interaction treatment. This systematic study serves to establish a reliable computational protocol for such calculations and, in particular, to minimize basis set superposition errors through an improved new basis set and/or counterpoise corrections. Using the recommended procedures, the best ab initio results for the equilibrium geometry and the fundamental vibrational wave numbers are in good agreement with the available experimental data, which further supports the recent spectroscopic identification of BiH(3). The ground-state total atomization energy of BiH(3) is predicted to be 153.1 kcal/mol.