Conservative Velocity Interpolation for PDF Methods

In many particle methods the accurate interpolation of a velocity field represented on a computational grid to arbitrary positions is crucial [2, 5]. Here, the importance of mass conservation and order of the interpolation scheme were analyzed. Initially equally distributed particles were tracked in a stationary, incompressible 2d flow field using different interpolation schemes. It could be demonstrated that especially mass conservation is of great importance, in particular in the case of complex flow patterns. The ideas presented in this paper are more general and the methods can be extended for unsteady, compressible 3d flow problems. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Sterically demanding cyclopentadienyl chemistry: synthesis of iron and zirconium complexes of 1-phenyl-3-methyl-4,5,6,7-tetrahydroindenyl

Reaction of phenyl magnesium bromide with the ,β-unsaturated ketone 3-methyl-2,3,4,5,6,7-hexahydroind-8(9)-en-1-one, followed by an aqueous work-up, generates the pro-chiral tetra-substituted cyclopentadiene, 1-phenyl-3-methyl-4,5,6,7-tetrahydroindene, Cp^‡H, a precursor to the η⁵-cyclopentadienyl ligand in (Cp^‡)₂Fe and [(Cp^‡)Fe(CO)]₂(μ-CO)₂. Both complexes were generated as mixtures of rac-(RR and SS)- and meso-(RS)-isomers, and in either case pure meso-isomer was isolated by crystallisation and characterised by single crystal X-ray structure, both molecules having crystallographic C_i symmetry. Reduction with Na/Hg cleaves meso-(RS)-[(Cp^‡)Fe(CO)]₂(μ-CO)₂ and the resulting mixture of (R)- and (S)-[(Cp^‡)Fe(CO)₂]⁻ anions reacts with MeI to give racemic (Cp^‡)Fe(CO)₂Me, which was characterised by the X-ray crystal structure. The Cp^‡ ligand is more electron donating than (η-C₅H₅) as revealed by the reduction potential of the (Cp^‡)₂Fe⁺/(Cp^‡)₂Fe couple, E°=−0.127 V (vs. Ag  AgCl). Reaction of LiCp^‡ with ZrCl₄ yields the zirconocene dichloride [Zr(Cp^‡)₂Cl₂] as mixture of rac- and meso-isomers, from which pure rac-isomer is obtained as a mixture of RR and SS crystals by recrystallisation. The reaction of rac-[Zr(Cp^‡)₂Cl₂] with LiMe gives rac-[Zr(Cp^‡)₂Me₂]. The structures of RR-[Zr(Cp^‡)₂Cl₂] and rac-[Zr(Cp^‡)₂Me₂] have been determined by X-ray diffraction. The structural studies reveal the influence of the bulky substituted cyclopentadienyl ligand on the metal---Cp^‡ distances and other metric parameters.     

Degradation Thermique D'Un Polystyrene Choc Ignifuge Par Un Melange Intumescent

The study of the thermal degradation of the fireproof polystyrene—butadiene copolymer by an intumescent system: ammonium polyphosphate (APP)—pentaerythritol (PER)—talc (TAL), was done through an experimental process. Thermogravimetry under air sweeping was used. We observed for the degradation rate of the mixture with fireproofing agents, in the field of 20 to 50% mass loss, a better linear increasing when this mixture contains more TAL and the ratio APP/PER is smaller.

This revised version was published online in November 2005 with corrections to the Cover Date.     

The asymmetric single-impurity Anderson model – the modified perturbation theory

We investigate the single-impurity Anderson model by means of the recently introduced modified perturbation theory. This approximation scheme yields reasonable results away from the symmetric case. The agreement with exactly known results for the symmetric case is checked, and results for the non-symmetric case are presented. With decreasing conduction band occupation, the breakdown of the screening of the local moment is observed. In the crossover regime between Kondo limit and mixed-valence regime, an enhanced zero-temperature susceptibility is found.     

TeV γ-ray astronomy

The TeV γ-ray sky displays at this time 9 sources comprising 6 supernova remnants (SNR) and 3 active galactic nuclei (AGN). They have been discovered with AIR ERENKOV TELESCOPES since 1989, and more sources are sure to be found. They are related to violent astrophysical events and promise to be used as unique tools for cosmological questions like the universal infrared photon field and the intergalactic magnetic field strength.     

Molecular dynamics in comb-like ionene as studied by NMR

Proton and fluorine second moment and spin-lattice relaxation timesT ₁ andT _lρ have been employed to study molecular dynamics in the comb-like I-6,6-16-Me-BF₄ ionene in the temperature range from 110 up to 300 K. The existence of motions of methyl groups, trans-gauche isomerization, and/or rotation of the main- and side-chain méthylene groups, as well as isotropic reorientation of tetrafluoroborate ions were established. The observed relaxation behaviors are explained by motional models which assume Davidson-Cole asymmetrical distribution of correlation times. The best-fit motional parameters are given.     

A chirp-compensated, injection-seeded alexandrite laser

A Q-switched alexandrite laser suitable for high-resolution spectroscopy is described which produces pulses of 35 mJ energy in a 10 MHz bandwidth, with a high-purity TEM₀₀ mode. The laser can be synchronised to external event to within 100 ns. The output pulse length is 120 ns and the repetition rate 25 Hz. The laser is injection-seeded by a Ti:sapphire laser operating around 730 nm. To preserve single-mode seeding under external triggering conditions, and to obtain small time-jitter, active cavity length control was used. In order to achieve the 10 MHz output bandwidth, intra-cavity electro-optic modulators were used to compensate for the frequency chirp. The refractive index of alexandrite was found to vary linearly with inversion density with a constant of proportionality equal to 1.6᎒^-24 cm³. In pulsed operation at 730 nm, the index change due to this effect is only partially compensated by changes due to ground state phonon relaxation.     

Density functional study of guanine and uracil quartets and of guanine quartet/metal ion complexes

The structures and interaction energies of guanine and uracil quartets have been determined by B3LYP hybrid density‐functional calculations. The total interaction energy ΔE^T of the C_4h‐symmetric guanine quartet consisting of Hoogsteen‐type base pairs with two hydrogen bonds between two neighbor bases is −66.07 kcal/mol at the highest level. The uracil quartet with C6 H6O4 interactions between the individual bases has only a small interaction energy of −20.92 kcal mol⁻¹, and the interaction energy of −24.63 kcal/mol for the alternative structure with N3 H3O4 hydrogen bonds is only slightly more negative. Cooperative effects contribute between 10 and 25% to all interaction energies. Complexes of metal ions with G‐quartets can be classified into different structure types. The one with Ca²⁺ in the central cavity adopts a C_4h‐symmetric structure with coplanar bases, whereas the energies of the planar and nonplanar Na⁺ complexes are almost identical. The small ions Li⁺, Be²⁺, Cu⁺, and Zn²⁺ prefer a nonplanar S₄‐symmetric structure. The lack of coplanarity prevents probably a stacking of these base quartets. The central cavity is too small for K⁺ ions and, therefore, this ion favors in contrast to all other investigated ions a C₄‐symmetric complex, which is 4.73 kcal/mol more stable than the C_4h‐symmetric one. The distance 1.665 Å between K⁺ and the root‐mean‐square plane of the guanine bases is approximately half of the distance between two stacked G‐quartets. The total interaction energy of alkaline earth ion complexes exceeds those with alkali ions. Within both groups of ions the interaction energy decreases with an increasing row position in the periodic table. The B3LYP and BLYP methods lead to similar structures and energies. Both methods are suitable for hydrogen‐bonded biological systems. Compared with the before‐mentioned methods, the HCTH functional leads to longer hydrogen bonds and different relative energies for two U‐quartets. Finally, we calculated also structures and relative energies with the MMFF94 forcefield. Contrary to all DFT methods, MMFF94 predicts bifurcated C HO contacts in the uracil quartet. In the G‐quartet, the MMFF94 hydrogen bond distances N2 H22N7 are shorter than the DFT distances, whereas the N1 H1O6 distances are longer. © 2000 John Wiley & Sons, Inc. J Comput Chem 22: 109–124, 2001     

An Easy Way Toward ε‐Caprolactone Macromonomers by Microwave Irradiation Using Early Lanthanide Halides as Catalysts

Poly(ε‐caprolactone) macromonomers were synthesized under microwave irradiation from commercial caprolactone, using commercial hydrated lanthanide halides as catalysts. The molecular weight of the polymers was in the range 3 000–5 000. Higher molecular weights (5 000–20 000) and lower polydispersity indices were obtained with THF adducts of the lanthanide halides as catalysts and also by applying longer reaction times or using diethylene glycol as a coupling reagent.     

(Meta)stabiles CaC2

(Meta)stable CaC₂ One out of four modifications of CaC₂ is the so‐called metastable Calcium Carbide, CaC₂‐III, which was synthesized as pure material. It forms by heating monoclinic CaC₂‐II (C2/c) above 150 °C and remains stable after cooling down to room temperature. The structure was refined from X‐ray powder patterns (C2/m, Z = 4, a = 722.6(1) pm, b = 385.26(7) pm, c = 737.6(1) pm, β = 107.345(2)°). After grinding CaC₂‐III transforms back into CaC₂‐II. Heating CaC₂‐III induces a reversible phase transition into the cubic modification (CaC₂‐IV) at 460 °C. Differences between the three different structures of CaC₂ I–III, being stable at ambient conditions are also shown by ¹³C‐MAS‐NMR measurements, especially the presence of two distinct types of carbon atoms in the structure of the title compound.