Über L-Räume auf Gruppen I

Ohne Zusammenfassung     

Secure analysis of distributed chemical databases without data integration

We present a method for performing statistically valid linear regressions on the union of distributed chemical databases that preserves confidentiality of those databases. The method employs secure multi-party computation to share local sufficient statistics necessary to compute least squares estimators of regression coefficients, error variances and other quantities of interest. We illustrate our method with an example containing four companies' rather different databases.     

Ultra-trace analysis of platinum in human tissue samples

Background levels of platinum were determined in human autopsy tissues taken from five individuals. The investigated specimens were lung, liver and kidney. Sample preparation involved microwave digestion followed by an open vessel treatment. Inductively-coupled plasma sector field mass spectrometry (ICP-SFMS) was applied in combination with an ultrasonic nebulization/membrane desolvation system for sample introduction. Isotope dilution analysis was employed for accurate quantification of platinum. Excellent procedural detection limits (3 s validation) of 20, 20 and 34 pg g^–1 dry weight were obtained for lung, liver and kidney tissue, respectively. Due to the lack of appropriate biological reference material, road dust (BCR-723) was used for method validation. Platinum levels ranging between 0.03 and 1.42 ng g^–1 were determined in the investigated samples. The platinum concentrations observed in human lung tissue may reflect the increasing atmospheric background levels of platinum originating from car catalysts. The presence of platinum in kidney and liver tissue samples clearly indicates the bioavailability of the element.     

Beiträge zur harmonischen Analyse. II

Ohne Zusammenfassung     

A new N-alkylation reaction—V: NMR investigations

The structure elucidation of some isomeric imidazo(1,2-a)pyrimidones by NMR spectroscopy is described. The tautomerism of the compounds with non-substituted nitrogen is also discussed.     

Propagating energy modes in the heisenberg chain: Just plain magnons

We show that the oscillations in the energy density observed in classical simulations on ferromagnetic chains are present in the antiferromagnet as well, and are not due to hydrodynamic “second magnon” modes, but arise from a singularity in the non interacting two spin wave density of states.Quantum occupation number effects change qualitatively the nature of the oscillations, producing a perfectly well defined mode at the spin wave frequency as T→0.     

Dithiophosphors?ure-O,O-diethylester zur Spurenanreicherung an Aktivkohle

Zusammenfassung Aus den Reinstmetallen Eisen, Chrom und Mangan können die Elementspuren Bi, Cd, Cu, In, Pb und Tl durch Sorption ihrer DithiophosphorsÄure-O,O-diethylester-Komplexe an Aktivkohle als SpurenfÄnger abgetrennt werden. Die Trennfaktoren betragen in AbhÄngigkeit vom Matrixelement und von der Probeeinwaage 4×10³ bis 5×10⁴. Bei der Bestimmung der Spuren mit der Flammen-AAS werden für alle abgetrennten Elemente Nachweisgrenzen unterhalb 1 g/g erreicht.Teil I: siehe [1]     

Calorimetrically measurable enthalpic isotope effect

Calorimetric techniques have revealed that the enthalpy of reaction with water is more exothermic by about 2.2 kcal/mol, for the perdeuteriated naphthalene anion radical (K+C10D8*-(s) + H2O(liq) --> 1/2C10D8H2(s) + 1/2C10D8(s) + KOH(aq)) than it is for the perprotiated system. These results, when coupled with the known enthalpy of electron transfer between naphthalene and its perdeuteriated analogue imply that the heat of hydrogenation of naphthalene decreases by about 1.8 kcal/mol upon perdeuteriation of the naphthalene.     

Disentanglement time of polymers determines the onset of rim instabilities in dewetting

Molecular relaxations determine the viscoelastic properties of polymers, which, in turn, control macroscopic processes like dewetting. Here, we demonstrate experimentally that the onset of rim instabilities is correlated with the longest relaxation ("reptation") time of the dewetting polymer. Conversely, such experiments allow us to determine the reptation time of polystyrene in thin films as a function of molecular weight. Our approach opens up new possibilities for testing rheological properties of polymers confined in thin films.