Estimation of parameters of non-linear dynamical systems

A method is proposed to describe non-linear systems without memory, forced by random excitation. The concept of statistical linearization is extended to an approximation with a series of functions. The parameters of these functions describing the non-linearity are estimated in the presence of noise by using correlation techniques. The results apply also if the non-linearity cannot be separated from a linear dynamic model.     

The effect of the amido substituent on polymer molecular weight in propene homopolymerisation by titanium cyclopentadienyl‐amide catalysts

In the homopolymerisation of propene by the cyclopentadienyl‐amide titanium catalyst systems [η⁵,η¹‐C₅H₄(CH₂)₂NR]TiCl₂/MAO and [η⁵,η¹‐C₅H₄(CH₂)₂NR]Ti(CH₂Ph)₂/B(C₆F₅)₃ (R = ^tBu, ⁱPr, Me), the catalyst with the smallest substituent (Me) on the amido moiety consistently gives the highest polymer molecular weight. This differs from the trend usually observed in related catalysts with tetramethylcyclopentadienyl‐amide ancillary ligands, where larger amide substituents result in higher molecular weights. Based on the present information a hypothesis is formulated in which an increased cation‐anion interaction for the less sterically hindered catalyst is responsible for disfavouring chain transfer relative to chain growth.     

Mechanistic Implications of the Observation of Kinetic Resolution in a Palladium-Catalyzed Enantioselective Allylic Alkylation

Preferential rotation in substrate—palladium intermediates in a catalyzed asymmetric allylic alkylation is proposed to be responsible for both the observed kinetic resolution of the racemic allylic acetate starting material as well as the high selectivity found in the enantiodiscriminating product-forming step [Eq. (a)].     

Solution Crystallization Analysis by Laser Light Scattering (SCALLS)

Summary: Solution crystallization analysis by laser light scattering offers a direct way of studying the solution crystallization of polyolefins. The technique yields similar results to Crystaf, but in a shorter time and with apparently greater sensitivity in some cases. The use of SCALLS is demonstrated for the study of selected propylene/higher α-olefin copolymers. Some conclusions are also drawn regarding the effect of molecular weight on the solution crystallization of polyolefins.     

Hydrodynamic chromatography separations in micro- and nanopillar arrays produced using deep-UV lithography (J. Sep. Science 35'15)

DOI: 10.1002/jssc.201200076 Micro-pillar array columns with an inter-pillar spacing down to 500 nm have been designed and fabricated enabling hydrodynamic chromatography separations of fluorescently labeled polystyrene nano-particles. Injecting sub-nanoliter sized sample volumes and detecting the fluorescent signal on-chip, fluorescein, 20 and 40 nm diameter particles could be separated in less than 1.5 minutes.     

Photo-orientation of axial molecules

We examine the photo-orientation of molecules in a linearly polarized field and the ensuing optical anisotropy of a sample. We propose a theoretical model that considers both photoinduced reorientation and rotational diffusion, for the case of linear or axial molecules not interacting among them, as in dilute solutions in viscous media. We perform numerical simulations to highlight the dependence on the parameters of the molecular reorientation processes, on the intensity of the exciting light, and on the use of cross polarized pulses. As a realistic example we simulate the photo-orientation of azobenzene in ethylene glycol.     

A Generic Design of a Flow-Through Potentiometric Sensor Array

 In this paper, a flow-through potentiometric microsensor is described which is based on semi-permeable tubing. The ion selective electrodes proposed are of the liquid membrane type in which a dialysis tube captures the ion selective cocktail. Ion selective sensors and a reference electrode based on the same design were constructed by guiding a 0.3 mm diameter dialysis tube through a cavity precision machined in Perspex?. Commercia lly available ionophore or ion-exchanger cocktails were applied to provide ion selectivity whilst a saturated KCl solution was used in the reference electrode. A number of flow-through microsensors selective to different ions (Na, K, Li, pH) were constructed and tested. Each showed good performance in a broad range of concentrations. Advantages of the proposed approach are the generic technology to make sensors with incorporate d reference electrodes, capable of measuring a wide variety of analytes for which cocktails are readily available and the fact that sub-microliter amounts of sample can be measured. Secondly, in comparison to other sensors applied in microchannels, the impedance of the flow-through sensor is much smaller because of the relatively large sensing surface formed by the tube wall. Moreover, the use of dialysis tubing enables easy integration with a so-called microdialysis probe for in-vivo sampling of the blood stream or subcutaneous tissue. Received December 6, 1999. Revision March 24, 2000.     

Precise Block‐Copolymers by Efficient Coupling of End‐Functionalized Polymers Using Phosgene

Summary: We report the synthesis of well‐defined block copolymers by covalent coupling of hydroxy end‐functionalized polymers. Using the high volatility of the coupling agent phosgene as compared to the solvent, very high conversion (up to 96%) is obtained in a one‐pot reaction with as little as 10⁻⁵ moles of each of the reacting polymers, even without prior purification of the as‐received reagents. This has potential as an alternative to the currently practiced method of sequential living polymerization of constituent monomers, with the added advantage of direct knowledge and control over the length distribution of each block.

Coupling of end‐functionalized polymers using phosgene to form block copolymers of controlled composition.