Über galoissche Körpererweiterungen von unendlichem Rang

Ohne ZusammenfassungHerrn Prof. Dr. Dr. h. c.Gottfried Köthe zum 60. Geburtstag gewidmet     

Heuristic derivation of the probability distributions of particles emitted by a black hole

A simple derivation of the probability distributions for the emission of bosons and fermions from a black hole is given. The derivation is based upon the generalized treatment of barrier penetration introduced by Damour and Ruffini. The intuitive amplitude method of Feynman is employed to establish the intimate connection between the statistics of the particles and their spectral distributions.     

Shape-persistent macrocycles with intraannular polar groups: synthesis, liquid crystallinity, and 2D organization

The synthesis of macrocycles with intraannular polar ester groups and extraannular oligo-alkyl groups is described. The compounds exhibit stable liquid crystalline phases showing fan-shaped textures under the polarizing microscope, typical for a columnar order of the molecules. X-ray powder diffraction data of the LC phase indicate that the unit cell contains two symmetry-related units, a feature pointing most probably to a restricted rotation of the macrocycles within a stack. The X-ray data were further supported by solid-state NMR experiments, showing that the rigid core of the compounds does not rotate with kHz or higher frequencies within the column in the LC phase. Apart from the organization of the molecules in the LC phase, the 2D organization of the macrocycles at the solvent-highly oriented pyrolytic graphite (HOPG) interface was investigated and showed that these compounds are capable of nanofunctionalizing the HOPG surface in the multinanometer regime.     

Molecular structure investigations on fluorine containing polyazomethines by means of the MALDI-TOF-MS technique

Three new aromatic polyazomethines have been synthesized by solution polycondensation reactions of terephthalic dialdehyde with fluorine containing aromatic diamines. The polymers were obtained in high yields. The investigation of these polymers by means of matrix-assisted laser desorption ionization-time-of-flight-mass spectrometry (MALDI-TOF-MS) proved the initial members of the four theoretical possible series of the corresponding oligomers with 2-10 repeating units per molecule.     

官能团化稠环芳香烃合成进展

对稠环芳香烃的合成方法、官能团化稠环芳香烃最新合成进展、官能团化稠环芳香烃构建的复杂分子体系(液晶、刚性线型和环状的大分子)及其超分子化学进行了评述.     

A generalized Uhlenbeck and Beth formula for the third cluster coefficient

Relatively recently (Amaya-Tapia et al., 2011), we presented a formula for the evaluation of the third Bose fugacity coefficient–leading to the third virial coefficient–in terms of three-body eigenphase shifts, for particles subject to repulsive forces. An analytical calculation for a 1-dim. model, for which the result is known, confirmed the validity of this approach. We now extend the formalism to particles with attractive forces, and therefore must allow for the possibility that the particles have bound states. We thus obtain a true generalization of the famous formula of Uhlenbeck and Beth (Uhlenbeck and Beth, 1936; Beth and Uhlenbeck, 1937) and of Gropper (Gropper, 1936, 1937) for the second virial. We illustrate our formalism by a calculation, in an adiabatic approximation, of the third cluster in one dimension, using McGuire’s model as in our previous paper, but with attractive forces. The inclusion of three-body bound states is trivial; taking into account states having asymptotically two particles bound, and one free, is not.     

Three-dimensional Linear Eddy Modeling of a Turbulent Lifted Hydrogen Jet Flame in a Vitiated Co-flow

A new methodology for modeling and simulation of reactive flows is reported in which a 3D formulation of the Linear Eddy Model (LEM3D) is used as a post-processing tool for an initial RANS simulation. In this hybrid approach, LEM3D complements RANS with unsteadiness and small-scale resolution in a computationally efficient manner. To demonstrate the RANS-LEM3D model, the hybrid model is applied to a lifted turbulent N₂-diluted hydrogen jet flame in a vitiated co-flow of hot products from lean H₂/air combustion. In the present modeling approach, mean-flow information from RANS provides model input to LEM3D, which returns the scalar statistics needed for more accurate mixing and reaction calculations. Flame lift-off heights and flame structure are investigated in detail, along with other characteristics not available from RANS alone, such as the instantaneous and detailed species profiles and small-scale mixing.