The quickest path problem with batch constraints

The quickest path problem has been proposed to cope with flow problems through networks whose arcs are characterized by both travel times and flowrate constraints. Basically, it consists in finding a path in a network to transmit a given amount of items from a source node to a sink in as little time as possible, when the transmission time depends on both the traversal times of the arcs and the rates of flow along arcs. This paper is focused on the solution procedure when the items transmission must be partitioned into batches with size limits. For this problem we determine how many batches must be made and what the sizes should be.     

New preparation of gold–silver complexes and optical fibre environmental sensors based on vapochromic [Au2Ag2(C6F5)4(phen)2]n

Complexes [Au₂Ag₂(C₆F₅)₄L₂]_n, where L = 1,10‐phenanthroline (phen), 2,2′‐bipyridine (bipy) or tetrahydrothiophene (tht), have been synthesized by reaction of NBu₄[Au(C₆F₅)₂] with Ag(SO₃CF₃), and the addition of phen or bipy thereafter, or with [Ag(SO₃CF₃)(tht)]. The organometallic vapochromic material [Au₂Ag₂(C₆F₅)₄(phen)₂]_n is isolated as a powder that is able to detect volatile organic compounds such as acetone even in an aqueous solution. The colour of this vapochromic material changes from bright yellow to white in the presence of different donor solvents such as acetone, methanol or ethanol. For the practical construction of an optical fibre sensor, a sol‐gel doped with the vapochromic complex was deposited onto one end of a monomode fibre connected to a coupler. The behaviour of the material was studied at different wavelengths and concentrations of acetone vapours and acetone–water solutions. Changes were detected up to 4 dB in the reflected optical power. Copyright © 2005 John Wiley & Sons, Ltd.     

Distribution of N Atoms in the fcc Fe–N Interstitial Solid Solution

Hyperfine Interactions - Monte Carlo simulations, analytical calculations and thermodynamic activity data have been combined in a study of the distribution of interstitial nitrogen atoms in the...     

New polycatenar Schiff bases derived from 1,3,4-thiadiazole: synthesis,mesomorphism and luminescence behaviour

Two new series of columnar liquid crystal materials based on tetra- and hexacatenar Schiff bases were synthesised by reaction of 4-aminophenyl-1,3,4-thiadiazole derivatives with terephthalaldehyde (series 2a–f) and with 2,5-thiophenedicarbaldehyde (series 3a–f). The mesomorphic properties of these compounds were studied by differential scanning calorimetry (DSC), polarised optical microscopy (POM) and X-ray diffraction (XRD). The mesomorphic behaviour was found to be dependent on the nature of the central ring (benzene in series 2a–f, thiophene in series 3a–f), on length and on number of alkoxy chains. Both tetra- and hexacatenar compounds in series 2a–f display an enantiotropic hexagonal columnar phase. Whereas, in the case of the series 3, only the tetracatenar Schiff bases (3a, 3c and 3e) display enantiotropic hexagonal columnar mesomorphism, hexacatenar Schiff bases (3b, 3d and 3f) do not show mesomorphic properties. Photophysical studies were realised in solution and in solid state. Also, a thermogravimetric analysis was performed. A fibre obtained from compound 3b was analysed by POM showing that the mesophase is maintained in the fibre.     

QCM sensing of a chemical nerve agent analog via electropolymerized molecularly imprinted polythiophene films

The highly selective and sensitive detection of a chemical nerve agent analog pinacolyl methylphosphonate (PMP) was demonstrated using an electrochemically molecularly imprinted polymer (MIP) polythiophene film onto a quartz crystal microbalance (QCM) transducer surface. The fabrication and optimization of the sensor film was monitored by in situ electrochemistry‐QCM (EC‐QCM) measurements, which determined the change in mass and simultaneous change in redox properties of the polymer film. The film deposition, template loading, and template removal were evidenced by a combination of surface characterization techniques such as the attenuated total reflection infrared spectroscopy and high‐resolution X‐ray photoelectron spectroscopy. The fabricated MIP film demonstrated a limit of detection and a limit of quantification of ～60 and ～197 μM, respectively. The linear sensing range is between 125 and 250 μM concentration of PMP. Finally, theoretical modeling (AM1 semiempirical quantum calculations) studies revealed that a stable prepolymerization complex is formed in solution with the existence of H‐bonding interactions using the 2:1 monomer‐to‐template ratio. © 2011 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2012     

Scavenging activity of C4‐hydroxyphenyl‐ and polyhydroxyphenyl‐1,4‐dihydropyridines toward free radicals

The radical‐scavenging ability of synthesized C4‐phenolic‐substituted 1,4‐dihydropyridines (1,4‐DHPs) toward 2,2‐diphenyl‐1‐picrylhydrazyl (DPPH^?) and alkyl/alkylperoxyl ABAP‐derived radicals at pH 7.4 was assessed by UV–visible spectroscopy. Reactivity of 1,4‐DHPs toward DPPH^? was measured by following the decay of the absorption corresponding to the radical λ_max at 525 nm, permitting the calculation of EC₅₀, t_EC50, and antiradical efficiency values. Pseudo–first‐order kinetic rate constants for the reactivity between the C4‐phenolic‐substituted 1,4‐DHP compounds and alkyl/alkylperoxyl ABAP‐derived radicals were followed by the decrease in λ_max at 356 nm corresponding to 1,4‐DHP moiety. C4‐phenolic‐substituted 1,4‐DHPs were more reactive toward alkyl free radicals than the other tested radicals. The 3,4,5‐trihydroxyphenyl‐1,4‐DHP was the most reactive derivative toward this radical with a kinetic rate constant value of 513.2 s^?1. Also, this derivative was the most effective toward the DPPH^? radical with the lowest EC₅₀ value (5.08 µM). Comparative studies revealed that synthesized 1,4‐DHPs were more reactive than commercial 1,4‐DHPs. The scavenging mechanism involves the contribution of both pharmacophores, that is, hydroxyphenyl and 1,4‐DHP rings, which was supported by the identification of the reaction products. © 2012 Wiley Periodicals, Inc. Int J Chem Kinet 44: 810–820, 2012     

A Facile One-Pot Synthesis of 4-Hydroxy-3-methoxycarbonyl-2-methyl-2H-1,2-benzothiazine 1,1-Dioxide,A Key Intermediate in the Synthesis of Oxicam Anti-Inflammatory Agents

4-Hydroxy-3-methoxycarbonyl-2-methyl-2H-1,2-benzothiazine 1,1-dioxide (8) was synthesized by a one-pot procedure, starting from the readily available saccharine. The synthesis involves 4 transformations with an overall yield equivalent to that from the stepwise process.     

Pressurized Solvent Extraction of Paulownia Bark Phenolics

Paulownia bark is mostly utilized jointly with wood, but the possibility of a separate valorization through the pressurized extraction of bark bioactives has been assessed. Subcritical water extraction and supercritical CO₂ extraction are green technologies allowing shorter times than conventional solvent extraction under atmospheric shaken conditions. Subcritical water extraction was carried out at temperatures ranging from 140 to 240 °C and supercritical CO₂ extraction was performed at different pressures (10, 20 and 30 MPa), temperatures (35, 45 and 55 °C) and ethanol concentrations (0, 10 and 15% (w/w)). Subcritical water extraction under a non-isothermal operation during heating up to 160 °C (19 min) provided extraction yields up to 30%, and the extracts contained up to 7% total phenolics with an ABTS (2,2′-azino-bis(3-ethylbenzothiazoline-6-sulfonic acid)) radical scavenging capacity equivalent to 35% the activity of Trolox, whereas at 240 °C, the yield decreased to 20%, but the phenolic content reached 21%, and the antiradical activity was equivalent to 85% of Trolox. Supercritical CO₂ extraction at 30 MPa, 45 °C and 30 min reached a global yield of 2% after 180 min of extraction, but the product showed very low antiradical capacity. Gallic acid, vanillic acid, vanillin and apigenin were the major phenolic compounds found in the extracts.     

Study of floating zone profiles in materials grown by the laser‐heated pedestal growth technique under isostatic atmosphere

The analysis of the melt profile in floating zone techniques has been made in the past years by raising differential equations in terms of Cartesian coordinates and numerically looking for its solution. Although this method permits to establish quite good approximations to the real melt profile, the solutions are deficient in the prediction of new information that can be related to the thermophysical properties of most materials. We investigated the applicability of a different approach that starting from a novel differential equation permits its fitting to the profile of a real situation and also the determination of some important growth parameters like the range of shape stability. Results concerning melt profiles of materials grown under controlled atmosphere are reported. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Complex Canonical Gravity and Reality Constraints

Ashtekar canonical variables for generalrelativity yielding low degree polynomial constraintsare complex and describe complex canonical gravity. Topick the real sector, a la Dirac, one must introduce reality constraints; they turn out to besecond-class. It is shown here that this holds not onlyfor pure gravity but also for a scalar fieldnon-minimally coupled to gravity. The originalsimplicity produced by the complex variables is spoiled if one getsrid of the second-class constraints via Dirac brackets,however. To circumvent such an undesirable feature,alternative possibilities are pointed out.