A note on a generalized Douglas space

Periodica Mathematica Hungarica -     

Faddeev-Noble Versus Sasakawa-Sawada Equations for the Nuclear Three-Body Coulomb Problem

We compare the efficiency of two Faddeev-type approaches for the nuclear three-body Coulomb problem. The first one is a modification of Noble’s approach, the second one is due to Sasakawa and Sawada. In an integral-equation formulation both of these methods rely on the same Green’s operators and driving terms. The differences lie in the treatment of the long-range Coulomb potentials. Numerical examples show that the modified Faddeev-Noble approach provides for faster convergence.     

Numerical convergence study of the orthogonalized multi-channels approach to three-body Coulomb scattering below breakup threshold

The three-body Coulomb problem for nuclear clusters is solved numerically for a model below three-body breakup threshold. An orthogonalized multi-channels method is employed. The method allows to check for convergence by considering the norm square of the closed-channels part of the wave function. The numerical results show that convergence can well be achieved on present-day computers.     

Characterisation of combinatorial libraries of mucin-2 antigen peptides by high-resolution mass spectrometry

An epitope motif, TX(1)TX(2)T, of mucin-2 glycoprotein was identified by means of a mucin-2-specific monoclonal antibody, mAb 994, raised against a synthetic mucin-derived 15-mer peptide conjugate. For determination of the epitope sequence recognised with highest affinity by mAb 994, a combinatorial approach was applied using the portioning-mixing technique excluding Cys. Antibody binding of libraries was most profound when Gln was at the X(1) position. Analytical characterisation of the TQTX(2)T library was conducted by amino acid analysis and matrix-assisted laser desorption/ionisation time-of-flight (MALDI-TOF) and electrospray ionisation Fourier transform ion cyclotron resonance (ESI-FTICR) mass spectrometric methods. Control libraries were prepared by mixing 19 individual peptides corresponding to the TQTX(2)T sequence. Thus, mixtures of 6, 10 and 19 pentapeptides were analysed and compared with the combinatorial mixture. MALDI-TOFMS was able to detect only partially the components in the 6- and 10-member mixtures, but failed to characterise a more complex 19-member mixture. In contrast, ESI-FTICRMS resolved all mixtures of higher complexity and provided direct identification at monoisotopic resolution, such as for a peptide library containing 'isobaric' lysine and glutamine (Delta m = 0.0364 Da). The results of this study suggest that ESI-FTICRMS is a powerful tool for characterisation of combinatorial peptide libraries of higher complexity.     

Adsorption characteristics of a Hungarian natural mordenite and its acid treated derivatives

A mordenite-containing rock from the Tokaj-mountains was investigated. The effect of the treatment with hydrochloric acid solutions of various molarity was established. From gas adsorption measurements, scanning electron microscopic investigations and measurements with a mercury porosimeter conclusions were drawn on the changes caused by acid treatment. Slight changes in the texture were found, but no damage in the crystal structure could be observed.

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Evaluation of the uranium concentration in rocks at the μg/g level by a low-background Geiger-Müller counter

A low-background -counter and a simple direct method, based on total -counting, have been developed in order to estimate the concentration of uranium at the g/g level in ordinary rock samples. The method is a relative one; international standards have been used for calibration. Only 3 g of rock powder is needed. Combining this method with -spectrometry, direct determination of²³⁸U (independently of²²⁶Ra) becomes possible near the above concentration level.     

Acidity and activity of H-mordenite in m-xylene isomerization

The dependence of the activity of H-mordenites prepared from a natural mordenite on the nature and strength of the acid groups present was studied. The superior catalytic activity and stability of the H(Ag)–MOR zeolite compared with other H-forms is explained on the basis of NH₃ adsorption and IR measurements.

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H-, . H(Ag)–MOP H- NH₃ .

     

Application of main component fraction collection method for purification of compound libraries

In order to support high-throughput library purification, a novel UV triggered fraction collection method was developed in which a maximum-seeking-algorithm-driven, six-port valve collects the largest chromatographic peak. This straightforward strategy achieves the one sample-one fraction approach, thus resulting in a simpler and less error prone workup procedure. The effectiveness of this main component fraction collection method will be illustrated here by the results of the purification of compound libraries (altogether 6086 compounds, having an averaged success rate of 79.4%). Advanced applications, where the desired component differs from the main component, will also be discussed.     

Bestimmung von Tellur in Mikrogrammengen mit Hilfe der Simultankomparationsmethode

Zusammenfassung Ein Verfahren zur Bestimmung von Tellurspuren mit Hilfe der Simultankomparationsmethode wurde ausgearbeitet, das auf der Bichromat-Ferriin-Reaktion beruht. Ferriin wird von Tellur(IV) reduziert; dieser Prozeß wird von Bichromat induziert. Bei diesem Verfahren werden die Tellurspuren durch Natriumhypophosphitreduktion mit Arsen oder Selen als Träger abgeschieden, der Metallniederschlag wird mit Salpetersäure zu Tellur(IV) oxydiert, die zu untersuchenden Proben und die Standardreihe gleichzeitig gestartet und verglichen. Mit dieser Methode kann Tellur auch in Mikrogrammengen mit einem Fehler von weniger als ±10% bestimmt werden. Störend wirken nur die Pt-Metalle und Au(III).

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Determination of tellurium in microgram amounts with the aid of the simultaneous comparation method

Summary A procedure has been worked out for the determination of traces of tellurium with the aid of the simultaneous comparation method, and based on the bichromate-ferriin reaction. Ferriin is reduced by tellurium(IV); this process is induced by bichromate. In this procedure the traces of tellurium are precipitated by means of sodium hypophosphite-reduction with arsenic or selenium as carriers. The metal precipitate is oxidized to tellurium(IV) with nitric acid; the samples under investigation and the standard series are started at the same time and compared. By means of this method it is possible to determine tellurium, even in microgram amounts, with an error of less than ± 10%. Only the platinum metals and gold(III) interfere.