On some Hasse Principles over formally real fields

Mathematische Zeitschrift -     

Field deformation and polarization change in a step-index optical fibre due to bending

The field distribution and polarization state of waveguide modes propagating around a curved dielectric optical fibre are investigated analytically by using a first-order perturbation theory. It is shown that the polarization direction of all modes except the HE_1m modes changes due to bending. Field distributions are also deformed and the shift in the field maximum, which takes place in the plane of curvature, is clarified for the dominant HE₁₁ mode.     

Asymptotic expansion of Feynman amplitudes

Employing the technique of Mellin transforms to scalar convergent Feynman amplitude in the Schwinger integral representation, we determine its asymptotic expansion for large Euclidean momenta. The determination of the coefficients of the expansion is effected via the use of generalized Taylor operators.     

Magnetic percolation in iron-platinum alloys

Conclusions We have shown that the transition at 30.5% Fe is a percolation transition with the formation of clusters being correctly described by the accepted model, and that the Mössbauer spectra of a 26.5 at% Fe alloy show evidence of a SDW. Such a SDW with wave vector parallel to a cube axis could provide a preferred direction in an otherwise cubic crystal.     

Is the dynamics of polystyrene films consistent with their glass transition temperature?

Experiments in the past 1.5 decades have found that the glass transition temperature of polymer films can be noticeably different from the bulk when the film thickness is decreased below ∼100  nm. On the other hand, many dynamic measurements have found results inconsistent with the observed change in the glass transition temperature. One frequently cited reason is that the dynamic properties being probed may not be directly related to the glass transition. Viscosity is a property traditionally used to characterize the dynamic slowing down occurring to a material at the glass transition. In this paper, we report experimental result showing that the viscosity of polystyrene films supported by oxide-coated silicon decreases with decreasing film thickness, consistent with the observed glass transition temperature of the films.     

Synthesis of metallic ReO3 nanowires

We present the synthesis of highly crystalline metallic rhenium trioxide (ReO₃) nanowires via a simple physical vapor transport at 300 °C for the first time. Based on HRTEM, the ReO₃ nanowires exhibit a core of perfect cubic perovskite‐type single crystal structure with a shell of thin amorphous and disordered structures of less than 2 nm in the near surface layers. Possibly this is due to proton intercalation induced by the surface reaction of single crystal ReO₃ with water.

     

Image subtraction approach to screening one-bead-one-compound combinatorial libraries with complex protein mixtures

To screen one-bead-one-compound (OBOC) combinatorial bead libraries,(1) one generally uses tagged purified protein as the screening probe. Compound beads that interact with the purified protein are then identified, for example, via an enzyme-linked colorimetric assay, and isolated for structure determination. In this report, we demonstrate a rapid and efficient method to screen OBOC combinatorial libraries utilizing two protein mixtures as screening probes, and by comparing optical images of the beads stained by one protein mixture but not the other, ligand beads unique to one of the two protein mixtures can be identified. The significance of this method is that it allows for rapid selection of ligands directed against proteins unique to one mixture while screening out positive beads resulting from proteins common to both mixtures as well as beads that are positive as a result of interactions with chemical and protein components found in the assay itself. The method is fast, efficient, and uses off-the-shelf equipment.     

Synthesis of 2,4-disubstituted 5-aminoimidazoles using microwave irradiation

A microwave-assisted parallel synthesis of 2,4-disubstituted 5-aminoimidazoles has been developed. Significant rate enhancement was observed for all steps in the three-step protocol. The overall reaction time was shortened to 25 min, as compared to 53 h for the conventional procedures. A representative set of 2,4-disubstituted 5-aminoimidazoles was prepared using commercially available parallel reactors.     

Tunable aggregation-induced emission of diphenyldibenzofulvenes

Nonemissive fulvenes can be induced to luminesce by aggregate formation, with the crystalline aggregates emitting bluer lights more intensely than their amorphous counterparts.