A search for strong coupling superconductivity

The specific heats of Mo_0.6Re_0.4 (BCC-phase), Mo_0.4Re_0.6 (Sigma-Phase), Mo_0.18Tc_0.82 (HCP-phase), and W_0.65Re_0.35 (BCC-phase) have been measured as part of the investigation of the basis for the extreme strong coupling previously found in the BCC and A-15 phase of Mo_0.4Tc_0.6. The normalized energy gaps, $\text{2Δ}\text{kT}{}_{\mathrm{c}}$, of the four compounds are found to be, respectively, 5.0, 3.4, 3.6, and 3.1. Thus, of these four compounds between VIB and VIIB elements, only the BCC phase, Mo_.6Re_.4 has strong coupling similar to the Mo_.4Tc_.6 materials. The implications of this result for defining the important parameters that cause strong coupling in Mo_0.4Tc_0.6 are discussed.     

Interacting boson-fermion model analysis for159Tb

The result of an IBFM multilevel calculation with the 3s _1/2, 2d _3/2, 2d _5/2 and 1g _7/2 single particle orbits are reported for the first time for the positive parity states of the odd mass nucleus¹⁵⁹Tb. Comparisons are made with experimental data for energy spectra, transition probabilities, mixing ratios, electric quadrupole and magnetic dipole moments. The agreement with the low-lying spectra suggests an extended comparison up to levels with spin 25/2, thereby testing the predictive power of the model.We would like to thank Dr. D. Mac Mahon and the staff at the Imperial College Reactor Centre for their help and use of facilities. We would also like to thank Dr. P. Van Isacker for many illuminating discussions.     

Curvilinear deflagration of energetic materials

The effects of material interface curvature on deflagration of a homogeneous solid energetic material (EM) is studied in a limit when the radius of curvature is much larger than the deflagration front thickness. Under the assumption of quasi-steady burning, a method of matched asymptotics is employed do derive first-order curvature corrections to the mass flux across the gas–solid interface as well as to the interface temperature. As an illustration, a problem of quasi-steady spherical particle deflagration is solved numerically and the simulation results are used to verify those obtained through asymptotic analysis. An algorithm for a fully-coupled unsteady solver suitable for EM deflagration simulation is presented. Numerical solution of the unsteady spherical particle deflagration is used to show that the assumption of quasi-steady deflagration is valid.     

The integrated number of vibrational states in acetylene (12C2H2, 13C2H2, 12C2D2)

A calculated exhaustive set of vibrational state energies in ¹²C₂H₂, ¹³C₂H₂ and ¹²C₂D₂ has been used to analyse the evolution of the integrated number of states with increasing vibrational energy N(E) up to 15000 cm^?1, 12000cm^?1 and 10000 cm^?1 in each isotopomer, respectively. The regular contribution to N(E) was modelled analytically and numerical parameters were fitted. The other expected contribution to N(E), which is of oscillatory nature, was quantified and is discussed using energyand time-dependent theories. Related periods of oscillation and temporal recurrences are interpreted consistently in terms of the constant of the motion N_r = 5v₂ + 3v₂ + 5v₃ + v₄ + v₅ and of an average vibrational quantum. More pragmatically, the vibrational dynamics appear to be dominated by the bending vibrations, i.e., by the slowest oscillators.     

Valuable New Cyclohexadiene Building Blocks from Cationic η5‐Iron–Carbonyl Complexes Derived from a Microbial Arene Oxidation Product

Biooxidation of benzoic acid by Ralstonia eutropha B9 provides an unusual cyclohexadiene carboxy diol that contains a quaternary stereocentre. Tricarbonyliron derivatives of this chiron, on treatment with acid, give two isomeric η⁵‐cyclohexadienyl complexes as observed by NMR spectroscopy. Both of these can be subjected to the addition of nucleophiles to provide isomeric cyclohexadiene complexes with new substituent patterns, several of which have been characterised crystallographically. De‐metallation of these provides a versatile library of cyclohexadiene building blocks, the utility of which is demonstrated by formal syntheses of oseltamivir. The mechanism of product formation and its stereochemical implications are discussed, as are the procedures undertaken to establish the enantiopurity of a representative cyclohexadiene product.     

Blackbody radiation functions and polylogarithms

A new method based on the polylogarithm function is used to derive an exact expression for the fractional emissive power of a blackbody in any arbitrary spectral band. Compared to all previously used methods the polylogarithm based method is unsurpassed in its simplicity. Displacement laws for the centroid of blackbody radiation in the linear wavelength and frequency spectral representations that make use of the polylogarithm based approach are also given.     

Synthesis and anti-HCV activity of 1-(1′,3′-O-anhydro-3′-C-methyl-β-d-psicofuranosyl)uracil

Synthesis of a novel 1′,2′-oxetane-uridine bearing a 2′-C-methyl substituent, [1-(1′,3′-O-anhydro-3′-C-methyl-β-d-psicofuranosyl)uracil], is described. Key to its construction was the use of 6-O-(p-toluoyl)-1,2:3,4-di-O-isopropylidene-3-C-methyl-d-psicofuranose as a nucleosidation substrate, which itself was derived from d-fructose. Anti-HCV activity was examined for the corresponding triphosphate which was not found to be an inhibitor of HCV NS5B 1b wild type polymerase in vitro. The 1′,2′-oxetane uridine triphosphate without 2′-C-methyl substitution was similarly inactive, however, the guanosine analog displayed modest inhibition (IC₅₀ = 10 μM).     

Microfluidic devices for culturing primary mammalian neurons at low densities

Microfluidic devices have been used to study high-density cultures of many cell types. Because cell-to-cell signaling is local, however, there exists a need to develop culture systems that sustain small numbers of neurons and enable analyses of the microenvironments. Such cultures are hard to maintain in stable form, and it is difficult to prevent cell death when using primary mammalian neurons. We demonstrate that postnatal primary hippocampal neurons from rat can be cultured at low densities within nanoliter-volume microdevices fabricated using polydimethylsiloxane (PDMS). Doing so requires an additional fabrication step, serial extractions/washes of PDMS with several solvents, which removes uncrosslinked oligomers, solvent and residues of the platinum catalyst used to cure the polymer. We found this step improves the biocompatibility of the PDMS devices significantly. Whereas neurons survive for > or = 7 days in open channel microdevices, the ability to culture neurons in closed-channel devices made of untreated, native PDMS is limited to < or = 2 days. When the closed-channel PDMS devices are extracted, biocompatibility improves allowing for reliable neuron cultures at low densities for > or = 7 days. Comparisons made to autoclaved PDMS and native, untreated PDMS reveal that the solvent-treated polymer is superior in sustaining low densities of primary neurons in culture. When neuronal affinity for local substrates is observed directly, we find that axons localize to channel corners and prefer PDMS surfaces to glass in hybrid devices. When perfusing the channels with media by gravity flow, cultured hippocampal neurons survive for > or = 11 days. Extracting PDMS improves biocompatibility of microfluidic devices and thus enables the study of differentiation of identifiable neurons and the characterization of local extracellular signals.