More on cancellative semigroups on manifolds

Communicated by D.R.Brown     

Non-destructive analysis of archeological samples by energy-dispersive X-ray fluorescence

Summary A non-destructive method is described for the determination of major and minor constituents in archeological specimens by energy-dispersive X-ray fluorescence. Homogeneity tests are made by measuring at various sites of the specimen. In the same way, mean values are obtained for inhomogeneous specimen without taking samples. For calibration, powder standards are used. In case of the determination of elements with numbers up to 14 (Si) a vacuum chamber is used and the dimensions of the specimens are limited by the dimensions of that vacuum chamber, whereas for the determination of elements from K up to U specimens of any size, form or weight are suitable.

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Zerstörungsfreie Analyse von archäologischen Proben mit Hilfe der Energie-dispersiven Röntgenfluorescenzanalyse

Zusammenfassung Eine zerstörungsfreie Methode für die Bestimmung von Haupt- und Nebenbestandteilen in archäologischen Proben mit Hilfe der Energie-dispersiven Röntgenfluorescenzanalyse wird beschrieben. Für Homogenitätstests wird an mehreren Stellen der Probe gemessen. In der gleichen Weise werden für inhomogene Proben Mittelwerte erhalten ohne Probenahme. Für die Eichung werden Pulverstandards verwendet. Im Falle der Bestimmung von Elementen mit Ordnungszahlen bis 14 (Si) wird eine Vakuumkammer eingesetzt, und die Dimensionen der Proben sind durch die Dimensionen dieser Vakuumkammer begrenzt, während für die Bestimmung der Elemente K bis U Proben jeder Größe, jeder Form oder jeden Gewichts verwendbar sind.

     

Estimation of the electron backscattering factor in AES

To obtain reliable results in quantitative Auger analysis one must take into account the factors dependent on the matrix of the analysed material. One of the most important among them is the so-called backscattering factor which expresses the enhancement of the Auger yield as a consequence of the backscattered primary electrons. Until now, several different approaches to its determination have been published, the obtained results, however, more or less differ one from an other. By comparing the results of various theoretical and empirical approaches with experimental data we try to choose the most appropriate method for calculation of the backscattering factor. This method should provide sufficiently accurate values. At the same time we try to avoid using such methods which are laborious, numericaly complicated or require various experimental procedures.     

Electrons from target and projectile ionization in simple collision systems

Summary Absolute double differential cross-sections for target ionization and projectile electron loss were determined in collisions of H⁺, H₂ ⁺,³He⁺ and³He⁺⁺ ions (0.4 to 2.0 Me V/u) with He and Ar gas targets at electron emission angles from 0° up to 60°. The experimental results are qualitatively well described by plane-wave Born approximations including screening of the projectile in target ionization and of the target atom in the case of electron loss.

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Riassunto Sono state determinate le sezioni d’urto doppie differenziali assolute per la ionizzazione del bersaglio e la perdita dell’elettrone proiettile in collisioni di ioni H⁺, H ₂ ⁺ ,³He⁺ e³He⁺⁺ (da 0.4 a 2.0 Me V/u) con bersagli di gas He e Ar ad angoli di emissione degli elettroni da 0° a 60°. I risultati sperimentali sono qualitativamente ben descritti dalle approssimazioni di Born per onde piane che comprendono la schermatura del proiettile nella ionizzazione del bersaglio e dell’atomo bersaglio nel caso di perdita dell’elettrone.

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Резюме Определяются абсолютные дважды дифференшиальные поперечные сечения для ионизации мишени и потери электровов налетающими частишами при соударениях ионов H⁺, H ₂ ⁺ ,³He⁺ и³He⁺⁺ (от 0.4 до 2.0 Me V/u) в случае газовых Не и Ar мишеней при углах эмиссии электронов от 0° до 60°. Экспериментальные результаты качественно хорощо описываются с помощью плоско-волнового борновского приближения, включая экранирование налетающей частицы при ионизации мишени в случае потери электрона.

     

Equilibrium charge state distributions of beam foil excited molecular fragments exiting carbon foils

Summary Equilibrium charge state distributions of ions emerging from solids have been measured. As incident particles were used both atomic (C⁺, N⁺, O⁺) and molecular (N ₂ ⁺ , CO⁺) projectile ions (0.025<E/M<0.108 MeV/u). The data of atomic projectile ions agree well with the data of other authors in a range in which they overlap. Charge state fractions of emerging molecular-fragment ions behind a carbon foil are strongly influenced by the Coulomb explosion and possibly by the wake potential. Supported by BMFT/Bonn.     

Hardy Spaces, Singular Integrals and The Geometry of Euclidean Domains of Locally Finite Perimeter

We study the interplay between the geometry of Hardy spaces and functional analytic properties of singular integral operators (SIO’s), such as the Riesz transforms as well as Cauchy–Clifford and harmonic double-layer operator, on the one hand and, on the other hand, the regularity and geometric properties of domains of locally finite perimeter. Among other things, we give several characterizations of Euclidean balls, their complements, and half-spaces, in terms of the aforementioned SIO’s.     

Do additives shift the LCST of poly (<Emphasis Type="Italic">N</Emphasis>-isopropylacrylamide) by solvent quality changes or by direct interactions?

The phase transition of thermoresponsive poly(N-isopropylacrylamide) is studied under the influence of additives considered as model substances for drugs. A series of aromatic compounds with similar structures, mainly benzaldehydes, is chosen. The lower critical solution temperature (LCST) is determined by differential scanning calorimetry and ¹H-NMR. All additives cause a down shift of the LCST, which depends on additive molecular structure and concentration. Since the LCST shifts are not correlated to hydrophobicity or solubility of the additive, the detailed substitution pattern is discussed as the controlling factor. The question whether LCST shifts can be explained by either the additives affecting the solvent quality or by specific interactions of additives with the polymer is addressed by LCST determination in dependence on polymer concentration. Though both factors are relevant, specific additive-polymer interactions are shown to play a major role in controlling the LCST.