Über das Löwnersche Ellipsoid und sein Analogon unter den einem Eikörper einbeschriebenen Ellipsoiden

Ohne ZusammenfassungDie Anregung zu meinem Teil an dieser Arbeit empfing ich im Rahmen eines Forschungsstipendiums. Ich möchte daher der Deutschen Forschungsgemeinschaft auch an dieser Stelle meinen Dank aussprechen. ludwig danzer.     

Conversion of N-arylglycolohydroxamic acids to 1,2,3-oxathiazolidin-4-one 2,2-dioxides

N-Arylglycolohydroxamic acids 1A are converted by in situ prepared 2,2′-dipyridyl sulfite to 1,2,3-oxathiazolidin-4-one 2,2-dioxides 5 , the formation of which can be rationalized via a radical pair mechanism. The alkylating potential of the heterocyclic system 5 is demonstrated by the alkaline ethanolysis giving rise to the open chained 2-ethoxypropionanilide 6 .     

Zur projektiven und konformen Geometrie der Finsler-Räume

Ohne Zusammenfassung     

ATR-FTIR measurements and quantum chemical calculations concerning the adsorption and photoreaction of oxalic acid on TiO2

The adsorption and photoreaction of oxalic acid on the surface of anatase and rutile TiO2 nanoparticles have been studied using a combined experimental and theoretical approach. In the dark, the experimental adsorption reaches an equilibrium state that can be described as a mixture of adsorbed water and oxalic acid molecules, with the latter forming two different surface complexes on anatase and one on rutile particles. When the system is subsequently illuminated with UV(A) light, the surface becomes enriched with absorbed oxalic acid, which replaces photo-desorbed water molecules, and one of the adsorbed oxalic acid structures on anatase is favoured over the other.     

ChemInform Abstract: Structure Determination of Gold Clusters by Trapped Ion Electron Diffraction: Au‐14—Au‐19.

ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 200 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.     

On the classical limit of Bohmian mechanics for Hagedorn wave packets

We consider the classical limit of quantum mechanics in terms of Bohmian trajectories. For wave packets as defined by Hagedorn we show that the Bohmian trajectories converge to Newtonian trajectories in probability.     

Gas enrichment at liquid-wall interfaces

Molecular dynamics simulations of Lennard-Jones systems are performed to study the effects of dissolved gas on liquid-wall and liquid-gas interfaces. Gas enrichment at walls, which for hydrophobic walls can exceed more than 2 orders of magnitude when compared to the gas density in the bulk liquid, is observed. As a consequence, the liquid structure close to the wall is considerably modified, leading to an enhanced wall slip. At liquid-gas interfaces gas enrichment which reduces the surface tension is found.     

Wave Equation and Multiplier Estimates on Damek–Ricci Spaces

Let S be a Damek–Ricci space and L be a distinguished left invariant Laplacian on S. We prove pointwise estimates for the convolution kernels of spectrally localized wave operators of the form ${\rm {e}}^{it\sqrt{ L}}\psi\big(\sqrt{ L}/{\lambda}\big)$ for arbitrary time t and arbitrary λ>0, where ψ is a smooth bump function supported in [?2,2] if λ<1 and supported in [1,2] if λ≥1. This generalizes previous results in Müller and Thiele (Studia Math. 179:117–148, 2007). We also prove pointwise estimates for the gradient of these convolution kernels. As a corollary, we reprove basic multiplier estimates from Hebish and Steger (Math. Z. 245:37–61, 2003) and Vallarino (J. Lie Theory 17:163–189, 2007) and derive Sobolev estimates for the solutions to the wave equation associated to L.