Adaptive approach for nonlinear sensitivity analysis of reaction kinetics

We present a unified approach for linear and nonlinear sensitivity analysis for models of reaction kinetics that are stated in terms of systems of ordinary differential equations (ODEs). The approach is based on the reformulation of the ODE problem as a density transport problem described by a Fokker-Planck equation. The resulting multidimensional partial differential equation is herein solved by extending the TRAIL algorithm originally introduced by Horenko and Weiser in the context of molecular dynamics (J. Comp. Chem. 2003, 24, 1921) and discussed it in comparison with Monte Carlo techniques. The extended TRAIL approach is fully adaptive and easily allows to study the influence of nonlinear dynamical effects. We illustrate the scheme in application to an enzyme-substrate model problem for sensitivity analysis w.r.t. to initial concentrations and parameter values.     

Measurement of biological parameters during fermentation processes

Efficient fermentation control requires the measurement of biological parameters. Three techniques were tested for monitoring. In the first, the NADH-fluorescence of micro-organisms was measured in batch and in continuous cultures under aerobic and anaerobic conditions, providing information on the metabolic status of the cells. The effects of cell concentration and of different substrates (glucose, ethanol and oxygen) were studied. The second technique is the calorimetric determination of various substrates, such as penicillin or enzymes, by an enzyme/thermistor device. With immobilized penicillin acylase (E.C. 3.5.1.11) or penicillinase (E.C. 3.5.2.6), penicillin was determined selectively in a fermentation broth. The thermistor was also used to measure penicillin acylase activity. The third technique is laser flow cytometry. A commercial double-beam flow cytometry system was used to determine cell size, light scattering and the protein, DNA and RNA contents of single cells. Flow cytometry allows rapid and sensitive control of fermentation processes with genetically modified E. coli 5K (pHM12) cells. The results of monitoring the cell size, light scattering, and protein and DNA contents of different micro-organisms during fermentation are outlined.     

The effect of electronegative atoms on the structures of hydrocarbons. ab initio calculations on molecules containing fluorine or (carbonyl) oxygen

A series of ab initio calculations have been carried out, using the 4-21G basis set. Ethane and propane were first studied to obtain reference points. The effect of adding an electronegative atom (fluorine, or carbonyl oxygen) onto the framework was then studied as a function of the torsional angle about the single bond. Some pronounced trends in structural changes were observed, and these can in part be correlated with hyperconjugative effects. For example, fluoroethane has bond lengths which are shorter than those in ethane itself, by 0.024 Åin the C C bond, and 0.003 Åin the α C H bonds. These changes are essentially torsionally independent. On the other hand, in propionaldehyde, the C C bond length of the methyl group and the C H bond lengths of the hydrogens attached to the alpha carbon vary as a function of the torsion angle. If the methyl C C bond in the carbonyl plane is taken as a reference, the bond stretches .016 Åwhen the torsion angle is increased to 90°, an α C H bond similarly stretches up to .007 Å. Many of these geometric changes are large, well beyond the experimental errors in modern measurements.     

Correlating second harmonic optical responses of single Ag nanoparticles with morphology

Femtosecond laser excited second harmonic (SH) activity from single Ag nanoparticles is reported. A correlation of SH single-particle measurements with high-resolution imaging of particle morphology by TEM was achieved by creating position markers on an optical and electron transparent substrate (Si3N4 thin film, approximately 100 nm). We compared the SH activity of single Ag nanoparticles (nanospheres versus nanorods) and cluster structures (composed of two or multiple particles, e.g., dimers and trimers). The direct correlation of single-particle structures and SH activity, spectral and power dependence, strongly suggests one-photon resonant driven nonlinear oscillator response mechanism.     

Kraftfeldrechnungen an linearen Oligopyrrolen: 2,2′-Bipyrrol, 2,2′-Furylpyrrol und Prodigiosen

Using a specific force field model, relative stabilities of 2,2-bipyrrole and 2,2-furylpyrrole conformers as well as of prodigiosene tautomers, configurations, and conformations, are studied. 2,2-Bipyrrole adopts anantiperiplanar conformation in accord with other theoretical calculations and experimental findings. Its rotational barrier calculated by this method compares favourably to the one derived by other means. For the parent prodigiosene the (Z)sp,sp arrangement is found to be the most stable one. The two possible tautomers within its dipyrrin fragment do not show a significant energy difference.

     

Zur Verbrennung fluor-, phosphor- und metallhaltiger Verbindungen mit einem CHN-Automaten

Zusammenfassung Durch Hinzunahme von Magnesiumoxid zur Verbrennungsrohrfüllung wird der Anwendungsbereich des CHN-Automaten auf fluor- und phosphorhaltige Proben erweitert. Diese beiden Elemente werden im wesentlichen in der Magnesiumoxidzone der Füllung gebunden. Bei manchen phosphorhaltigen Verbindungen macht die geringe Pyrolysegeschwindigkeit einen längeren Analysezyklus notwendig. Die längere Verbrennungszeit wird durch eine Reduzierung des Gasstromes ermöglicht. Bei metallhaltigen Proben geben alle Verbindungen, deren Metalle unter den herrschenden Bedingungen definierte Rückstände bilden, ohne besondere Maßnahmen gute Werte. Die Bildung carbonathaltiger Rückstände bei Alkali und Erdalkali wird meistens von der Apparatur als solche registriert.

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Summary The field of application of the CHN-automatic combustion devices is extended to samples containing fluorine and phosphorus by including magnesium oxide in the filling of the combustion tube. These two elements are essentially bound in the magnesium oxide zone. Many compounds containing phosphorus make it necessary to reduce the speed of the gas stream because of the low pyrolysis velocity. When samples containing metals are being analyzed, excellent results are obtained with all compounds whose metals yield definite residues under the prevailing conditions. The formation of residues containing carbonate in the case of alkali and alkaline earths is usually registered as such by the apparatus.

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Die Firma Technicon hat uns für diese Untersuchungen dankenswerterweise einen CHN-Analyzer zur Verfügung gestellt.     

Organoaluminium and -gallium compounds with N,N-diisopropylaminomethyl groups

The N,N-diisopropylaminomethyl aluminium compound [tBu2AlCH2NiPr2 x LiCl]2(1) and the gallium compounds Li[tBu2Ga(CH2NiPr2)2](2) and [tBu2GaCH2N(H)iPr2]Cl x tBu3Ga (3) were prepared by transmetallation of N,N-diisopropylaminomethyllithium LiCH2NiPr2 with di-tert-butylaluminium or -gallium chloride, and characterised by elemental analyses, multinuclear NMR spectroscopy (1H, 13C, 27Al, 7Li) and IR spectroscopy. The crystal structures have been determined by single crystal X-ray diffraction. Compound aggregates as a centrosymmetric dimer, with two Al-C-N units connected by a frame of two LiCl molecules [Al-Cl 2.367(1), Cl-Li 2.339(4) and 2.374(4), Li-N 1.977(4)A]. Compound 2 is a lithium organogallate with two weak LiN bonds [1.965(7) and 1.937(7)A]. Compound 3 contains two different moieties: tBu3Ga and a [tBu2GaCH2N(H)iPr2]+ cation, which are bridged by a Cl- anion [Ga-Cl 2.445(1) and 2.579(1), HCl 2.362(3)A].     

Miniaturization of separation techniques using planar chip technology

Miniaturization of separation columns implies equally reduced vol- umes of injectors, detectors, and the connecting channels. Planar chip technology provides a powerful means for the fabrication of micron-sized structures such as channels. This is demonstrated by two examples. An optical absorbance detector chip exhibits the expected behavior of a 1 mm optical path length cell despite its volume of 1 nL. A capillary electrophoresis device allows integrated injections of 100 pL samples, efficiencies of 70,000 to 160,000 theoretical plates in 10 to 20 seconds, and external laser-induced fluorescence detection at any capillary length of choice between 5 and 50 mm.     

Zum Mechanismus der Thermischen Dehydratisierung von Natriumdihydrogenphosphat

Mechanism of Thermal Dehydration of Sodium Dihydrogenphosphate The thermal dehydration of sodium dihydrogenphosphate (P₁) to sodium cyclotriphosphate (CP₃) and sodium polyphosphate, the so-called Maddrell's salt (MS), is controlled by nucleation and crystallization of CP₃ and MS, respectively. The wellknown influence of various formation conditions on the CP₃:MS product ratio is caused by amorphous and crystalline intermediate phases and their ability to form CP₃ or MS nuclei. On seeding P₁ with CP₃ or MS the dehydration proceeds structure-controlled via dihydrogendiphosphate to pure CP₃ or pure MS. The particularities of thermal dehydration of crystalline sodium dihydrogendiphosphate, and also the dehydration and reorganization of sodium phosphate glasses (Na:P = 1:1) with different mean chain lengths, under formation of CP₃ or MS are described.     

The role of the π-bonding network for trigonal level splittings of tris-bidentate Cr(acac)3 and Cr(ox) 3 3−

The varying -bonding contributions in the title compounds caused by the different electronic and molecular structure of the chelate rings are used for explaining the large band splittings in the absorption spectra by trigonal symmetry. It is shown that usual ligand field theory and the angular overlap model are not able to account for the trigonal level splitting of Cr(acac)₃ for which the coordination sphere of oxygen atoms is nearly octahedrally arranged. The experimental finding can, however, be rationalized by an extended angular overlap model which considers the phase coupling of -orbitals in the ligands leading to non-additive contributions to the metal-ligand bond energy.On leave of absence from the Bulgarian Academy of Sciences, Sofia, Bulgaria