Fuzzy sets do not form a topos

The relationship between fuzzy sets and H-valued sets is briefly examined and a claim of Eytan's that the former comprise the objects of a topos is corrected.     

A study of the reaction NO3 + NO2 + M → N2O5 + M(M = N2, O2)

The gas-phase reaction of the NO₃ radical with NO₂ was investigated, using a flash photolysis-visible absorption technique, over the total pressure range 25–400 Torr of nitrogen or oxygen diluent at 298 ± 2 K. The absolute rate constants determined (in units of 10^?13 cm³ molecule^?1 s^?1) at 25, 100, and 400 Torr total pressure were, respectively, (4.0 ± 0.5), (7.0 ± 0.7), and (10 ± 2) for M = N₂ and (4.5 ± 0.5), (8.0 ± 0.4), and (8.8 ± 2.0) for M = O₂. These data show that the third-body efficiencies of N₂ and O₂ are identical, within the error limits, and that previous evaluations for M = N₂ are applicable to the atmosphere. In addition, upper limits were determined for the rate constants of the reactions of the NO₃ radical with methanol, ethanol, and propan-2-ol of ?6 × 10^?16, ?9 × 10^?16, and ?2.3 × 10^?15 cm³ molecule^?1 s^?1, respectively, at 298 ± 2 K.     

The Supramolecular Structural Chemistry of Pentafluorosulfanyl and Tetrafluorosulfanylene Compounds

The analysis of crystal structures of SF₅- or SF₄-containing molecules revealed that these groups are often surrounded by hydrogen or other fluorine atoms. Even though fluorine prefers F⋅⋅⋅H over F⋅⋅⋅F contacts, the latter appeared to be important in many compounds. In a significant number of datasets, the closest F⋅⋅⋅F contacts are below 95 % of the van der Waals distance of two F atoms. Moreover, a number of repeating structural motifs formed by contacts between SF₅ groups was identified, including different supramolecular dimers and infinite chains. Among SF₄-containing molecules, the study focused on SF₄Cl compounds, including the first solid-state structure analyses of these reactive species. Additionally, electrostatic potential surfaces of a series of Ph-SF₅ derivatives were calculated, pointing out the substituent influence on the ability of F⋅⋅⋅X contact formation (X=F or other electronegative atom). Interaction energies were calculated for different dimeric arrangements of Ph-SF₅, which were extracted from experimental crystal structure determinations.     

X-ray CT microtomography and mechanical response of foamed polysiloxane elastomers

3D X-ray computer microtomography (CT) experiments have been performed to assess the microstructure of scaled cellular polysiloxane elastomers and to predict how key morphological features alter as a function of compressive loading. In the work reported here, full scale (nominally 600 μm pore size) and half scale (nominally 300 μm pore size) polydimethylsiloxane foams (M97) were prepared using extractable urea particles, and tested. CT test methodology was developed to image foam microstructure at different levels of compression. 1D magnetic resonance imaging (MRI) experiments have also been performed on full scale foams for baseline characterisation. Material porosity, bulk density and dynamic mechanical analysis (DMA) stress/strain responses as a function of compression were recorded. Our results show that undesirable engineering stress responses are evident when the material microstructure (cell size and shape) is non-uniform and complex. This is particularly evident when non-spherical urea particles are used, leading to undesirable scaled foam microstructures with mechanical responses that do not match that shown by ‘full scale’ versions. Through the use of X-ray CT and MRI, our studies have provided insights into the link between manufacturing, polymer architecture (cell size/shape) and mechanical response of scaled M97 cellular materials. The data collected will support materials FEA (finite element model) code development activities, as well as help identify how the material architecture can be modified to achieve more controlled and uniform mechanical responses.     

Structure of the Antiplasmodial Compound 7,9-Dinitrocryptolepine Hydrochloride Methanol Solvate

Abstract  The structure of C₁₆H₁₀N₄O₄[HCl,1.5CH₃OH], M_r = 406.80, has been determined from X-ray diffraction data. The crystals are monoclinic, space group C2/c, with eight molecules per unit cell and a = 21.482(4), b = 7.131(1), c = 24.495(5) ?, β = 111.01(3)°, crystal density D_c = 1.546 g/cm³. The material was difficult to crystallize and crystals produced were found to be poor diffractors. Intensity data were measured at liquid nitrogen temperature using a weakly diffracting crystal typical of the batch. However the X-ray analysis has finally enabled the chemical constitution of this cryptolepine derivative, which was previously incorrectly assigned, to be unequivocally established. Direct methods were used to solve the structure which was refined by full-matrix least squares to a conventional R-index of 0.0798 for 2,861 reflections and 268 parameters. The 7,9-dinitrocryptolepine molecule is highly planar with a strong intramolecular hydrogen bond between N(10) in ring C and O(92) of a nitro group. There are a number of intermolecular hydrogen bonds involving the cryptolepine derivative the hydrochloride and both solvated methanols. One of the methanol solvate molecules (methanol 2) is unusually disordered with its C atom lying exactly on a crystallographic twofold axis. Consequently the methanol OH and H₃ groups are at 0.5 occupancy and repeated by the twofold symmetry. Graphical Abstract  Cryptolepine (5-methyl, 10H-indolo[3,2-b]quinoline) the principal constituent of Cryptolepis sanguinolenta (Periplocaceae) is currently of interest as a lead compound for the development of both antimalarial and anticancer agents. Cryptolepine has potent activity against malaria parasites in vitro, but it is also cytotoxic on account of its abilities to intercalate into DNA, inhibit DNA synthesis and inhibit topoisomerase II. The 7,9-dinitroanalogue of cryptolepine was synthesised as part of a program designed to discover new antimalarial and anticancer agents. The X-ray structure of this compound will help to determine whether or not 7,9-dinitrocryptolepine is able to intercalate into DNA and facilitate the design of new cryptolepine analogues with DNA binding properties appropriate for antimalarial (with no DNA intercalation) or anticancer (sequence-specific binding) applications.      

In vivo sodium-23 magnetic resonance surface coil imaging: Observing experimental cerebral ischemia in the rat

Sodium-23 magnetic resonance imaging can be used to detect and assess experimental cerebral ischemia in the rat. An imaging technique utilizing a surface coil is described to produce sodium magnetic resonance images of good quality and resolution within 10 min. A novel method of hemispheric occlusion showed edema in the right brain of the rat head within 3 hr after injury. The edema was especially pronounced by 12 hr with effects in the right brain, eye and surrounding muscle evident.     

Rate constants for the reaction of (sP) atoms with SO2 (M = N2O) over the temperature range 299–392 K

Third order rate constants have been determined for the reaction O + SO₂ + N₂O → SO₃ + N₂O over the temperature range 299–392 K using a modulation technique. The Arrhenius expression obtained is k₂^N₂O = 3.32 × 10¹⁰ exp[?(2000±400)/RT] liter² mole^?2 s^?1. This temperature dependence is in good agreement with recent flash photolysis-resonance fluorescence measurements using N₂ as a third body.