Herstellung und 29Si-NMR-Untersuchung von Polymeren mit definierten Kieselsäurebaueinheiten

Preparation and ²⁹Si NMR Spectroscopic Investigation of Polymers with Definite Silicic Acid Units Three polymers were synthesized by additive reaction of the cage-like double fourring (D4R) silicic acid derivatives [(CH₃)₂HSi]₈Si₈O₂₀ and [CH₂?CH(CH₃)₂Si]₈Si₈O₂₀ resp., with the unsaturated diviyltetramethyldisiloxane or the multiple functional tetramethylcyclotetrasiloxane and polymethylhydrogensiloxane in a molar ratio of functional groups 1:1. By means of ²⁹Si solid state NMR spectroscopy was shown that the in organic solvents insoluble polymers are built up by D4R silicic acid units, which are connected by chain-like or cyclic siloxane bridges. With increasing functional groups of the reactants the sterical hindrance of the reaction of D4R derivates grows. The polymers show small surfaces of 1 to 8 m²/g.     

An Efficient Synthesis of Enantiomeric Ribonucleic Acids from D-Glucose

Enantiomeric oligoribonucleotides (= ent-RNA) up to a sequence length of thirty-five and consisting of the (L -configurated) nucleosides ent-adenosine, ent-guanosine, ent-cytidine, ent-uridine, and 1-(β-L -ribofuranosyl)thymine were prepared by automated synthesis from appropriate building blocks, carrying a known photo-labile 2′-O-protecting group. A simple large-scale synthesis of the new, prefunctionalized L -ribose derivative 5 from D -glucose (Scheme 1) and its straightforward conversion into the five phosphoramidites 28 – 32 and five solid supports 38 – 42 , respectively, were elaborated (Scheme 4). Within this project, a novel, superior strategy for the synthesis of the 2′-O-{[(2-nitrobenzyl)oxy]methyl}-substituted key intermediates 18 – 22 by regioselective alkylation of their 5′-O-dimethoxytritylated precursors 13 – 17 was developed. Furthermore, an improved set-up for the final light-induced cleavage of the 2′-O-protecting groups from the oligonucleotide sequences was designed (Scheme 5 and Fig. 1). The correct composition of all ent-oligoribonucleotides prepared was established by their MALDI-TOF mass spectra. The ¹H-NMR-spectroscopic data of a dodecameric ent-RNA sequence was in excellent agreement with the published data of its natural counterpart, synthesized by conventional methods. The known specific cleavage of a tetradecamer sequence by a 35mer ribozyme structure could be reproduced by ent-oligoribonucleotides, synthesized by the presented methods (Fig. 4).     

Bicyclo[3.2.1]amide-DNA: a chiral,nonchiroselective base-pairing system

The design, synthesis, and base-pairing properties of bicyclo[3.2.1]amide-DNA (bca-DNA), a novel phosphodiester-based DNA analogue, are reported. This analogue consists of a conformationally constrained backbone entity, which emulates a B-DNA geometry, to which the nucleo-bases were attached through an extended, acyclic amide linker. Homobasic adenine-containing bca decamers form duplexes with complementary oligonucleotides containing bca, DNA, RNA, and, surprisingly, also L-RNA backbones. UV and CD spectroscopic investigations revealed the duplexes with D- or L-complements to be of similar stability and enantiomorphic in structure. Bca oligonucleotides that contain all four bases form strictly antiparallel, left-handed complementary duplexes with themselves and with complementary DNA, but not with RNA. Base-mismatch discrimination is comparable to that of DNA, while the overall thermal stabilities of bca-oligonucleotide duplexes are inferior to those of DNA or RNA. A detailed molecular modeling study of left- and right-handed bca-DNA-containing duplexes showed only minor changes in the backbone structure and revealed a structural switch around the base-linker unit to be responsible for the generation of enantiomorphic duplex structures. The obtained data are discussed with respect to the structural and energetic role of the ribofuranose entities in DNA and RNA association.     

Palladium complexes in concentrated nitrate and acid solutions

A spectrophotometric study of palladium complexation in concentrated nitrate and acid solutions is presented. The water activity of the solutions was fixed to control activity coefficients. The existence of the species PdNO(+)(3), Pd(NO(3))(2) and PdOHNO(3) has been evidenced and their stability was evaluated. An activity diagram for the predominance of soluble palladium species is presented and the precipitation limit is drawn.     

Numerically accurate computational techniques for optimal estimator analyses of multi-parameter models

Modelling unclosed terms in partial differential equations typically involves two steps: First, a set of known quantities needs to be specified as input parameters for a model, and second, a specific functional form needs to be defined to model the unclosed terms by the input parameters. Both steps involve a certain modelling error, with the former known as the irreducible error and the latter referred to as the functional error. Typically, only the total modelling error, which is the sum of functional and irreducible error, is assessed, but the concept of the optimal estimator enables the separate analysis of the total and the irreducible errors, yielding a systematic modelling error decomposition. In this work, attention is paid to the techniques themselves required for the practical computation of irreducible errors. Typically, histograms are used for optimal estimator analyses, but this technique is found to add a non-negligible spurious contribution to the irreducible error if models with multiple input parameters are assessed. Thus, the error decomposition of an optimal estimator analysis becomes inaccurate, and misleading conclusions concerning modelling errors may be drawn. In this work, numerically accurate techniques for optimal estimator analyses are identified and a suitable evaluation of irreducible errors is presented. Four different computational techniques are considered: a histogram technique, artificial neural networks, multivariate adaptive regression splines, and an additive model based on a kernel method. For multiple input parameter models, only artificial neural networks and multivariate adaptive regression splines are found to yield satisfactorily accurate results. Beyond a certain number of input parameters, the assessment of models in an optimal estimator analysis even becomes practically infeasible if histograms are used. The optimal estimator analysis in this paper is applied to modelling the filtered soot intermittency in large eddy simulations using a dataset of a direct numerical simulation of a non-premixed sooting turbulent flame.     

Synthesis of 2′‐O‐[(Triisopropylsilyl)oxy]methyl (= tom)‐Protected Ribonucleoside Phosphoramidites Containing Various Nucleobase Analogues

The first results of a study aiming at an efficient preparation of a large variety of 2′‐O‐[(triisopropylsilyl)oxy]methyl(= tom)‐protected ribonucleoside phosphoramidite building blocks containing modified nucleobases are reported. All of the here presented nucleosides have already been incorporated into RNA sequences by several other groups, employing 2′‐O‐tbdms‐ or 2′‐O‐tom‐protected phosphoramidite building blocks (tbdms = (tert‐butyl)dimethylsilyl). We now optimized existing reactions, developed some new and shorter synthetic strategies, and sometimes introduced other nucleobase‐protecting groups. The 2′‐O‐tom, 5′‐O‐(dimethoxytrityl)‐protected ribonucleosides N²‐acetylisocytidine 5 , O²‐(diphenylcarbamoyl)‐N⁶‐isobutyrylisoguanosine 8 , N⁶‐isobutyryl‐N²‐(methoxyacetyl)purine‐2,6‐diamine ribonucleoside (= N⁸‐isobutyryl‐2‐[(methoxyacetyl)amino]adenosine) 11 , 5‐methyluridine 13 , and 5,6‐dihydrouridine 15 were prepared by first introducing the nucleobase protecting groups and the dimethoxytrityl group, respectively, followed by the 2′‐O‐tom group (Scheme 1). The other presented 2′‐O‐tom, 5′‐O‐(dimethoxytrityl)‐protected ribonucleosides inosine 17 , 1‐methylinosine 18 , N⁶‐isopent‐2‐enyladenosine 21 , N⁶‐methyladenosine 22 , N⁶,N⁶‐dimethyladenosine 23 , 1‐methylguanosine 25 , N²‐methylguanosine 27 , N²,N²‐dimethylguanosine 29 , N⁶‐(chloroacetyl)‐1‐methyladenosine 32 , N⁶‐{{{(1S,2R)‐2‐{[(tert‐butyl)dimethylsilyl]oxy}‐1‐{[2‐(4‐nitrophenyl)ethoxy]carbonyl}propyl}amino}carbonyl}}adenosine 34 (derived from L ‐threonine) and N⁴‐acetyl‐5‐methylcytidine 36 were prepared by nucleobase transformation reactions from standard, already 2′‐O‐tom‐protected ribonucleosides (Schemes 2–4). Finally, all these nucleosides were transformed into the corresponding phosphoramidites 37 – 52 (Scheme 5), which are fully compatible with the assembly and deprotection conditions for standard RNA synthesis based on 2′‐O‐tom‐protected monomeric building blocks.     

Spontaneous Aminoacylation of a RNA Sequence Containing a 3′‐Terminal 2′‐Thioadenosine

We report the synthesis of a modified 8mer RNA sequence, (C‐C‐C‐C‐A‐C‐C‐(2′‐thio)A)‐RNA 5′‐(dihydrogen phosphate) ( 9 ) containing a 3′‐terminal 2′‐thioadenosine (Schemes 2 and 3), and its spontaneous and site‐specific aminoacylation with the weakly activated amino acid thioester H Phe SPh ( 12 ). This reaction, designed in analogy to the ‘native chemical ligation’ of oligopeptides, occurs efficiently in buffered aqueous solutions and under a wide range of conditions (Table). At pH values between 5.0 and 7.4, two products, the 3′‐O‐monoacylated and the 3′‐O,2′‐S‐diacylated RNA sequences 10 and 11 are formed fast and quantitatively (Scheme 4). At pH 7.4 and 37°, the 3′‐O‐monoacylated product 10 is formed as major product in situ by selective hydrolysis of the O,S‐diacylated precursor 11 . Additionally, the preparation and isolation of the relevant 3′‐O‐monoacylated product 10 was optimized at pH 5. The here presented concept could be employed for a straightforward aminoacylation of analogously modified tRNAs.     

Queues with impolite customers

An interesting behavior of customers arriving to a queue for service concerns the manner in which they join the queue. The arrival discipline of the customers may be impolite, in the sense that an arriving customer who finds all servers busy may pick a position which is not necessarily at the end of the line. We introduce and discuss in detail such an arrival discipline of sufficient generality which has interesting applications. In particular, we show that the more impolite an arrival discipline is, the bigger is the variance of the waiting time. We also study a special model in more depth to provide simple computational formulas for several performance measures.     

Reed vibration in lingual organ pipes without the resonators

Vibrations of plucked and blown reeds of lingual organ pipes without the resonators have been investigated. Three rather surprising phenomena are observed: the frequency of the reed plucked by hand is shifted upwards for large-amplitude plucking, the blown frequency is significantly higher than the plucked one, and peaks halfway between the harmonics of the fundamental frequency appear in the spectrum of the reed velocity. The dependence of the plucked frequency on the length of the reed reveals that the vibrating length at small vibrations is 3 mm shorter than the apparent free length. The frequency shift for large-amplitude plucking is explained by the periodic change of the vibrating length during the oscillation. Reed vibrations of the blown pipe can be described by a physical model based on the assumption of air flow between the reed and the shallot. Aerodynamic effects may generate and sustain the oscillation of the reed without acoustic feedback. The appearance of subharmonics is explained by taking into account the periodic modulation of the stress in the reed material by the sound field. Therefore, a parametric instability appears in the differential equation of vibration, leading to the appearance of subharmonics.     

Ionic liquid silver salt complexes for propene/propane separation

Properties of the room-temperature liquid complex salt [Ag(propene)(x)][Tf(2)N] have been studied to probe its suitability for acting as active separation layer in immobilised liquid membrane (ILM) concepts for propane/propene separation. The pressure/temperature range of complex formation has been determined and the thermal properties of Ag[Tf(2)N] and [Ag(propene)(x)][Tf(2)N] have been studied by DSC (differential scanning calorimetry) and TGA (thermogravimetric analysis) measurements. Pressure dependent measurements of solubility and diffusivity showed that the observed membrane selectivity is dominated by the solubility selectivity. The self-diffusion coefficient of propene is always smaller compared to propane as propene is temporarily bound to the silver ion in the [Ag(propene)(x)][Tf(2)N] ionic liquid.