A semiclassical quantization of area-preserving maps

A semiclassical path integral formalism is developed for a class of area-preserving maps. The quasi-energy spectrum of these systems is represented as a sum over closed orbits in the manner of Gutzwiller. The method is illustrated with some numerical tests of the “standard map”.     

Evidence for a doubly magic O

The decay energy spectrum for neutron unbound states in ²⁴O (Z=8$Z=8$, N=16$N=16$) has been observed for the first time. The resonance energy of the lowest lying state, interpreted as the ²⁺$2^{+}$ level, has been observed at a decay energy above 600 keV. The resulting excitation energy of the ²⁺$2^{+}$ level above 4.7 MeV, supplies strong evidence that ²⁴O is a doubly magic nucleus. The data is also consistent with the presence of a second excited state around 5.33 MeV which can be interpreted as the ¹⁺$1^{+}$ level.     

Tri‐Chain Hydrocarbon Surfactants as Designed Micellar Modifiers for Supercritical CO2

Getting their feet wet : Low‐cost hydrocarbon surfactants act as fluid modifiers for supercritical carbon dioxide (scCO₂). Increased terminal branching of the surfactant chains aids micelle formation (see middle picture: CO₂ green), and more chains allows water to be incorporated (right, blue).

     

Measurement and analysis of forces in bubble and droplet systems using AFM

The use of atomic force microscopy to measure and understand the interactions between deformable colloids - particularly bubbles and drops - has grown to prominence over the last decade. Insight into surface and structural forces, hydrodynamic drainage and coalescence events has been obtained, aiding in the understanding of emulsions, foams and other soft matter systems. This article provides information on experimental techniques and considerations unique to performing such measurements. The theoretical modelling frameworks which have proven crucial to quantitative analysis are presented briefly, along with a summary of the most significant results from drop and bubble AFM measurements. The advantages and limitations of such measurements are noted in the context of other experimental force measurement techniques.     

New evidence for a subshell gap at N=32

An 879.9(2) keV γ-ray transition has been identified following the β decay of ⁵⁸V and assigned as the 2⁺₁→0⁺₁ transition in ⁵⁸Cr₃₄. A peak in the energies of the first excited 2⁺ states for the even–even chromium isotopes is now evident at ⁵⁶Cr₃₂, providing empirical evidence for a significant subshell gap at N=32. The appearance of this neutron subshell closure for neutron-rich nuclides may be attributed to the diminished π1f_7/2–ν1f_5/2 monopole proton–neutron interaction as protons are removed from the 1f_7/2 single-particle orbital.     

Analytical isolation, separation and identification of mutagens from nonvolatile organics of drinking water

A general procedure has been developed for the concentration/fractionation of mutagenic residue organics from small, less than 50L, and large, to 1200L, volumes of drinking water obtained from a variety of sources. This procedure features concentration of the residue organics chromatographically by passage of the water through XAD-2 and XAD-7 resins in specially designed columns, details of which are given. The residue organics are eluted from the resins via organic solvents, followed by solvent removal and subsequent bioassay for mutagenicity. Then the residue organics are fractionated via a coupled bioassay/analytical fractionation method which progressively focuses to the bioactive constituents of the complex mixture of residue organics. In this report, results for the optimal operation and validation of the concentration system are given, using drinking water derived from an industrially polluted river system, a wilderness river system and a major aquifer system. The predominant type of mutagenesis observed for the residue organics isolated from these samples was direct-acting to the Salmonella tester strain, TA98, which was decreased by the addition of the metabolic activation system from the livers of rats previously treated with Arochlor 1254. Some TA100 direct-acting mutagenesis was observed for all samples. Fractionation of the residue organics indicated the mutagens to be nonpolar. Samples of residue organics collected over a period of a year from each type of drinking water showed no discernable pattern of mutagenesis versus season. The methodologies described in this paper provide a comprehensive approach for the concentration/isolation of residue organics from drinking water for studies to identify biohazardous compounds and to characterize these compounds biologically.     

Orthogonally protected lanthionines: synthesis and use for the solid-phase synthesis of an analogue of nisin ring C

[structure: see text] Lanthionine, a thioether analogue of cystine, is a key component of the lantibiotics, a family of modified peptides bearing multiple thioether bridges resulting from posttranslational modifications between side chains. It is also used as a conformational constraint in medicinally active peptides. We have explored two synthetic routes to give lanthionine, orthogonally protected with Alloc/allyl and Fmoc groups. One route utilized a carbamate-protected iodoalanine that yielded a mixture of diastereoisomers, and one utilized a trityl-protected iodoalanine, formed via a Mitsunobu reaction, that gave the single desired lanthionine, in complete regio- and diastereoselectivity. We then used this orthogonally protected lanthionine in the solid-phase synthesis of an analogue of a fragment of nisin containing its ring C. The chemoselective deprotection of the allyl and Alloc groups of the incorporated lanthionine unit was followed by regio- and stereoselective cyclization on resin to give the desired lanthionine-bridged peptide.     

A class of collinear scaling algorithms for bound-constrained optimization: Derivation and computational results

A family of algorithms for the approximate solution of the bound-constrained minimization problem is described. These algorithms employ the standard barrier method, with the inner iteration based on trust region methods. Local models are conic functions rather than the usual quadratic functions, and are required to match first and second derivatives of the barrier function at the current iterate. The various members of the family are distinguished by the choice of a vector-valued parameter, which is the zero vector in the degenerate case that quadratic local models are used. Computational results are used to compare the efficiency of various members of the family on a selection of test functions.