Cellular structures in solid fuel combustion

The objective of this contribution is to investigate whether the mechanism of the thermal diffusion instability in gaseous flames causing cellular flame structures also occurs during the combustion of porous solid fuel. Based on conservation for mass and energy, the relevant set of differential equations was derived. Assuming thermal equilibrium between fuel and oxidiser, a global energy equation was valid for both solid and gaseous phase. The resulting set of differential equations was discretised by the Collocation method to arrive at a system of algebraic equations. In order to investigate into cellular flame structures, an infinitesimal disturbance was superimposed onto the plane conversion front. Carrying out a linear instability analysis, yielded eigenvalues dependent on the wave number of the disturbance. A critical wave number exists below which the real part of the eigenvalues is positive, thus, indicating a regime of instability. Within this region, eigenvalues with a not-vanishing imaginary part of the eigen value existed causing cellular flame structures. However, the growth rate of disturbances was found to be small, which may explain the difficulty to investigate this phenomena experimentally.     

Catalytic Asymmetric Synthesis of trans‐Configured β‐Lactones: Cooperation of Lewis Acid and Ion Pair Catalysis

The development of the first trans‐selective catalytic asymmetric [2+2] cyclocondensation of acyl halides with aliphatic aldehydes furnishing 3,4‐disubstituted β‐lactones is described. This work made use of a new strategy within the context of asymmetric dual activation catalysis: it combines the concepts of Lewis acid and organic aprotic ion pair catalysis in a single catalyst system. The methodology could also be applied to aromatic aldehydes and offers broad applicability (29 examples). The utility was further demonstrated by nucleophilic ring‐opening reactions that provide highly enantiomerically enriched anti‐aldol products.     

Anion–π Interactions in Salts with Polyhalide Anions: Trapping of I42−

The directionality of interaction of electron‐deficient π systems with spherical anions (e.g,. halides) can be controlled by secondary effects like NH or CH hydrogen bonding. In this study a series of pentafluorophenyl‐substituted salts with polyhalide anions is investigated. The compounds are obtained by aerobic oxidation of the corresponding halide upon crystallization. Solid‐state structures reveal that in bromide 2 , directing NH–anion interactions position the bromide ion in an η¹‐type fashion over but not in the center of the aromatic ring. The same directing forces are effective in corresponding tribromide salt 3 . In the crystal, the bromide ion is paneled by four electron‐deficient aromatic ring systems. In addition, compounds 4 and 6 , which have triiodide and the rare tetraiodide dianion as anions, are described. Computational studies reveal that the latter is highly unstable. In the present case it is stabilized by the crystal lattice, for example, by interaction with electron‐deficient π systems.     

Beta-keto amphetamines: studies on the metabolism of the designer drug mephedrone and toxicological detection of mephedrone, butylone, and methylone in urine using gas chromatography–mass spectrometry

In recent years, a new class of designer drugs has appeared on the drugs of abuse market in many countries, namely, the so-called beta-keto (bk) designer drugs such as mephedrone (bk-4-methylmethamphetamine), butylone (bk-MBDB), and methylone (bk-MDMA). The aim of the present study was to identify the metabolites of mephedrone in rat and human urine using GC-MS techniques and to include mephedrone, butylone, and methylone within the authors’ systematic toxicological analysis (STA) procedure. Six phase I metabolites of mephedrone were detected in rat urine and seven in human urine suggesting the following metabolic steps: N-demethylation to the primary amine, reduction of the keto moiety to the respective alcohol, and oxidation of the tolyl moiety to the corresponding alcohols and carboxylic acid. The STA procedure allowed the detection of mephedrone, butylone, methylone, and their metabolites in urine of rats treated with doses corresponding to those reported for abuse of amphetamines. Besides macro-based data evaluation, an automated evaluation using the automated mass spectral deconvolution and identification system was performed. Mephedrone and butylone could be detected also in human urine samples submitted for drug testing. Assuming similar kinetics in humans, the described STA procedure should be suitable for proof of an intake of the bk-designer drugs in human urine.     

Loss analysis and increasing of the fabrication tolerance of resonant coupling by tapering the mode beating section

The film mode matching method was used to analyze the inter waveguide coupling losses in a passive asymmetric twin waveguide caused by waveguide width and refractive index variation for both resonant and adiabatic coupling at a wavelength of 1,550 nm. The reasons for power losses are shown. It is demonstrated that tapering the mode beating section of the resonant coupler can increase the fabrication tolerance of resonant coupling without increasing the coupling length.     

On extensions of the core and the anticore of transferable utility games

We consider several related set extensions of the core and the anticore of games with transferable utility. An efficient allocation is undominated if it cannot be improved, in a specific way, by sidepayments changing the allocation or the game. The set of all such allocations is called the undominated set, and we show that it consists of finitely many polytopes with a core-like structure. One of these polytopes is the $L_1$ -center, consisting of all efficient allocations that minimize the sum of the absolute values of the excesses. The excess Pareto optimal set contains the allocations that are Pareto optimal in the set obtained by ordering the sums of the absolute values of the excesses of coalitions and the absolute values of the excesses of their complements. The $L_1$ -center is contained in the excess Pareto optimal set, which in turn is contained in the undominated set. For three-person games all these sets coincide. These three sets also coincide with the core for balanced games and with the anticore for antibalanced games. We study properties of these sets and provide characterizations in terms of balanced collections of coalitions. We also propose a single-valued selection from the excess Pareto optimal set, the min-prenucleolus, which is defined as the prenucleolus of the minimum of a game and its dual.