Periodic solutions of dry friction problems

Dry friction problems lead to discontinuous differential equations, e.g. to

Development of a very low energy μ+ beam at PSI

At PSI we are investigating the technique of decelerating an existing very intense secondary beam of surface ⁺ (4 MeV) to an energy of 10 eV using appropriate moderators. These ⁺ can then be used as a source of a tertiary beam of low energy muons with tunable kinetic energy between 10 eV and 10 keV.With a 1000 A layer of solid Argon deposited on an Al substrate we obtain a moderation efficiency (with respect to the number of incoming surface ⁺) of the order of 10^–4.Results of our investigations and the present status of the project are presented together with future plans and possibilities.     

AES investigations of the iron surface composition after laser irradiation under atmospheric conditions

The laser induced modification of iron surfaces with atmospheric species was investigated by means of Auger electron spectroscopy (AES) and scanning electron microscopy (SEM). Different laser systems were used for irradiating iron samples in a wide range of the laser processing parameters up to small foci and ultra short pulses.A nitriding of iron connected with an oxidation of the near surface region was observed in the wavelength range between 193 nm and 10.6 m using large foci (0.1 cm²) and short pulses (10...1400ns). In case of small foci (7·10^–6cm²) with ns-pulses (50 ns) an enrichment of the iron melt with nitrogen and an advanced oxidation of the surrounding area of the laser spot were detected. When using shorter pulses (200 fs, 40 ps) no indications for a nitriding were found.     

Mixing automorphisms of compact groups and a theorem of Schlickewei

Summary We prove that every mixing ^d by automorphisms of a compact, connected, abelian group is mixing of all orders.Oblatum 5-II-1992The second author gratefully acknowledges support from NSF grant DMS-91-03056 at the Ohio State University     

On the size of a maximal partial spread

We show that a maximal partial spread inPG(3,q) is either a spread or has at most lines. This implies that it is not possible to cover all points but the points of a Baer-subspace by lines.     

A variable concept for the preparation of branched glycosyl phosphatidyl inositol anchors

A variable concept for the synthesis of branched glycosyl phosphatidyl inositol (GPI) anchors was established. Its efficiency could be shown by the successful synthesis of the GPI anchor of rat brain Thy-1 and of the scrapie prion protein both in the water soluble 1c and lipidated form 1a. Retrosynthesis led to building blocks 2-6 of which 5 could be further disconnected to building blocks 7-9. Trichloroacetimidate 5 was built up in a straightforward manner starting from glycosyl acceptor 9 using known glycosyl donors 7 and 8. The carbohydrate backbone was then assembled by glycosylation of pseudodisaccharide acceptor 6 with donor 5. To ensure high stereoselectivity and good yields in the glycosylation reactions, anchimeric assistance was employed. Successive deprotection and introduction of the various phosphate residues gave the fully protected GPI anchors. Catalytic hydrogenation and acid-catalyzed cleavage of the Boc protecting groups afforded the target molecules, which could be fully structurally assigned.     

Organopolysiloxanes as Chemically Sensitive Coatings for Optical Fibers

Various types of UV-curable organically modified siloxanes have been synthesized by the sol-gel method with the aim of fabricating chemically sensitive coatings for silica optical fibers. The refractive index of the coating material can be tailored in the range from 1.46 to 1.56 and sensitivity towards CO2 is achieved by incorporation of amino groups. The interaction of the cured layers with CO2 or with hydrocarbons has been studied in immersion experiments. Both the reaction of CO2 with incorporated amino groups and the penetration of hydrocarbons into the layer induce changes of the light absorption coefficient and the refractive index of the coating which are detected by measuring the output light intensity from the fiber.     

Ein einfaches Verfahren zur infrarotspektrographischen Untersuchung von Mikrogramm-Mengen

Zusammenfassung Ein einfaches Verfahren zur reflexionsspektroskopischen Untersuchung von Mikrogramm-Mengen im Infrarotbereich wird beschrieben. Bei den verwandten Spiegeln ist ein sicheres Einengen der Lösungen, welche die zu untersuchenden Substanzen enthalten, möglich, ohne daß diese den Rand der spiegelnden Flächen überkriechen. Präparationsmethoden, die zur Herstellung eines gleichmäßigen Films der zu untersuchenden Substanzen auf dem Spiegel führen, werden angegeben. Mengen ab etwa 1 g können auf einem Spiegel mit 3 mm Durchmesser untersucht werden. Die Reproduzierbarkeit der Präparation beträgt für 10 g ungefähr 15–30%.

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Summary A simple method for the investigation of microgram amounts by infrared reflection spectroscopy is proposed. Special mirrors are described by means of which the solutions, that are to be investigated, can be evaporated quite easily without losses. Samples of at least 1 g can be measured.

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Herrn Prof. Dr. F. Strassmann zum 65. Geburtstag gewidmet.