A new Co(II)-metalloviologen-based electrochromic material integrated in thin multilayer films

A metallosupramolecular coordination polyelectrolyte prepared by the reaction of cobalt(II) with a novel bisterpyridine ligand has been assembled as the active component in electrochromic films by sequential deposition using electrostatic layer-by-layer self-assembly.     

Efficient dynamic kinetic resolution of secondary amines with Pd on alkaline earth salts and a lipase

Combination of Pd, supported on alkaline earth type supports with a lipase results in a selective catalytic system for dynamic kinetic resolution of benzylic amines.     

A lower bound for the distance k-domination number of trees

A subset D of vertices of a graph G = (V, E) is a distance k-dominating set for G if the distance between every vertex of V ? D and D is at most k. The minimum size of a distance k-dominating set of G is called the distance k-domination number γ_k(G) of G. In this paper we prove that (2k + 1)γ_k(T) ≥ ¦V¦ + 2k ? kn₁ for each tree T = (V, E) with n₁ leafs, and we characterize the class of trees that satisfy the equality (2k + 1)γ_k(T) = ¦V¦ + 2k ? kn₁. Our results generalize those of Lemanska [4] for k = 1 and of Cyman, Lemanska and Raczek [1] for k = 2.     

Integrable Renormalization II: The General Case

We extend the results we obtained in an earlier work [1]. The cocommutative case of ladders is generalized to a full Hopf algebra of (decorated) rooted trees. For Hopf algebra characters with target space of Rota-Baxter type, the Birkhoff decomposition of renormalization theory is derived by using the double Rota-Baxter construction, respectively Atkinsons theorem. We also outline the extension to the Hopf algebra of Feynman graphs via decorated rooted trees.submitted 16/03/04, accepted 09/09/04This revised version was published online in May 2005 with correction to the addresses.     

Cliffordalgebren und neue isoparametrische Hyperflächen

Ohne ZusammenfassungDie gemeinsame Arbeit der Autoren wurde durch Einladungen nach Bonn (SFB40) und Berlin (TUB) sehr gefördert     

Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht-Beispiele

1. We show that symmetric R-spaces can. be imbedded in euclidean space with parallel second fundamental tensor (Dα=0).
2. We give a restrictive necessary condition for totally geodesic submanifolds of the Grassmannian to be the Gauss image of an immersion with Dα=0, c.f. [9].

     

Monitoring of optical isomers of β-methylphenylalanine in opioid peptides

-erythro- and -threo-β-methylphenylalanines were synthesized and incorporated into the delta opioid receptor-selective deltorphin C peptide by solid-phase peptide synthesis. The enantiomeric composition of β-methylphenylalanine and the diastereomeric composition of the peptide were determined. To distinguish exactly between the two enantiomeric pairs of β-methylphenylalanine, different liquid, gas and thin-layer chromatographic methods are suggested, while the four diastereomers Of [β-Mephe₃]deltorphin C Can be identified and separated conveniently by high-performance liquid chromatography.     

Dynamic broadening of the crystal-fluid interface of colloidal hard spheres

We investigate the structure and dynamics of the crystal-fluid interface of colloidal hard spheres in real space by confocal microscopy. Tuning the buoyancy of the particles allows us to study the interface close to and away from equilibrium. We find that the interface broadens from 8-9 particle diameters close to equilibrium to 15 particle diameters away from equilibrium. Furthermore, the interfacial velocity, i.e., the velocity by which the interface moves upwards, increases significantly. The increasing gravitational drive leads to supersaturation of the fluid above the crystal surface. This dramatically affects crystal nucleation and growth, resulting in the observed dynamic broadening of the crystal-fluid interface.