Two loop low temperature corrections to electron self energy

We recalculate the two loop corrections in the background heat bath using real time formalism. The procedure of the integrations of loop momenta with dependence on finite temperature before the momenta without it has been followed. We determine the mass and wavefunction renormalization constants in the low temperature limit of QED, for the first time with this preferred order of integrations. The correction to electron mass and spinors in this limit is important in the early universe at the time of primordial nucleosynthesis as well as in astrophysics.     

Cyclic seleninate esters as catalysts for the oxidation of sulfides to sulfoxides, epoxidation of alkenes, and conversion of enamines to α-hydroxyketones

Cyclic seleninate esters serve as catalysts for the rapid oxidation of sulfides to sulfoxides, alkenes to epoxides, and enamines to α-hydroxyketones. Optimal conditions were found that minimize the overoxidation of the product sulfoxides to sulfones and the hydrolysis of epoxides to diols. In some examples such as styrene derivatives, oxidative cleavage was observed instead of epoxidation. The enamine oxidations proceed via the initial formation of dimeric 2,5-diamino-1,4-dioxane species, which were hydrolyzed in situ to the final products. The structure of one such dimer was confirmed by X-ray crystallography.     

Statistical Analysis of Polymer Nanocomposites for Mechanical Properties

Epoxy resins, due to their high stiffness, ease of processing, good heat, and chemical resistance obtained from cross-linked structures, have found applications in electronics, adhesives coatings, industrial tooling, and aeronautic and automotive industries. These resins are inherently brittle, which has limited their further application. The emphasis of this study is to improve the properties of the epoxy resin with a low-concentration (up to 0.4% by weight) addition of Multi-Walled Carbon Nanotubes (MWCNTs). Mechanical characterization of the modified composites was conducted to study the effect of MWCNTs infusion in the epoxy resin. Nanocomposites samples showed significantly higher tensile strength and fracture toughness compared to pure epoxy samples. The morphological studies of the modified composites were studied using Scanning Electron Microscopy (SEM).     

Perfluoropentaphenylborole

Perfluorination: The fully fluorinated analogue of pentaphenylborole (see structure; B gray, C black, F green) has been prepared using successive transmetallation reactions involving Zr and Sn heterocycles. The highly moisture‐sensitive borole is a new member of the perfluoroaryl borane family, a class of antiaromatic compounds of fundamental significance to concepts of aromaticity.

     

A Lie symmetry approach to nonlinear Schrödinger’s equation with non-Kerr law nonlinearity

This paper obtains the stationary 1-soliton solution of the nonlinear Schrödinger’s equation in non-Kerr law media. The types of nonlinearity that are considered are Kerr law, power law, parabolic law and the dual-power law. The technique that is used to carry out the integration of this equation is the Lie symmetry analysis.     

Heteroatom influence on the pi-facial selectivity of Diels-Alder cycloadditions to 1-oxa-4-thia-6-vinylspiro[4.5]dec-6-ene, 3-methoxy-3-methyl-2-vinylcyclohexene, and 3-methoxy-2-vinylcyclohexene

The facial selectivities of the Diels-Alder cycloadditions of several dienophiles to the title substrates were studied. The observed selectivities are interpreted as a consequence of the relative steric interactions offered by the substituents. The addition of dimethylacetylene dicarboxylate (DMAD) is influenced by the electrostatic repulsion arising from the interaction of an electron pair orbital on the acetal oxygen and the orthogonal pi-orbital of the acetylene unit in DMAD in the syn-to-oxygen addition of the latter. This repulsion is offset on coordination of Li+ to the said oxygen electron pair orbital, and the addition thus proceeds syn to oxygen. The enhanced and accelerated syn-to-oxygen addition in lithium perchlorate in nitromethane is interpreted as a consequence of the coordination of Li+ to both the acetal oxygen and a heteroatom in the dienophile that brings them in close proximity to facilitate a reaction. The Li+-oxygen combination, however, also exerts some steric effect that results in reduced syn-to-oxygen addition of dienophiles having large substituents such as N-phenylmaleimide.     

Intra- and intermolecular second-sphere coordination chemistry: formation of capsules,half-capsules,and extended structures with hexaaquo- and hexaamminemetal ions

In the design of novel extended solids, particularly those based on weaker interactions, reliable "synthons" are a valuable commodity. This work concerns the hydrogen-bonded assemblies which result from the second-sphere coordination interactions between a highly preorganized trisulfonate ligand and hexaaquo metal ions. Significantly, supramolecular structural variation, which may be rationalized on the basis of the features of the molecular building blocks, is observed. The results are formation of second-sphere capsules with trivalent ions (Fe(3+), Cr(3+), Al(3+)), and half-capsules with divalent ions (Mg(2+), Zn(2+)). The divalent systems further assemble into extensively hydrogen-bonded hexagonal nets. Effects of geometrical variation of the building blocks are also observed when a Jahn-Teller-distorted divalent ion (Cu(2+)) is substituted for the perfectly octahedral species. The second-sphere effects on the stabilization of the primary coordination sphere are illustrated by TGA experiments. In these assemblies, the potential of a new supramolecular synthon is illustrated, that being the complementary cis-aquo sulfonate interaction. These complexes illustrate the general utility of second-sphere effects, both as an assembly tool and to stabilize metal complexes in the solid state. Finally, as a comparison, a hydrogen-bonded assembly with a hexaammine complex of a trivalent metal (Co(3+)) is presented, which forms an extended network with a completely altered hydrogen bonding array.     

Sensitive and selective ion exchange-combined atomic absorption: Spectrometric determination of trace elements in rocks

Ion-exchange precipitation was used in geochemical analysis where the various trace elements can be determined by prior separation over an ion-exchange column. By application of the principles of classical wet analysis the presence of trace elements was verified and their quantitative determination performed in rock samples by converting an anion exchanger into the respective ionic forms to obtain the insoluble salts through the action of counterion (an anion) of the resin and the metal ion in the solution. The metal ions are then eluted by suitable eluting reagents that form soluble salts. The columns of 5 g Amberlite IR-400 were used and were converted into the desired anionic forms. The different forms used were sulfide, hydroxyl, carbonate, chromate, and sulfate. Flow rate was maintained at 1 ml/min. Different rock samples were examined for Mn, Zn, Ba, Ni, Cu, and Sr, etc. The results have been compared with the standard results.     

Formation of a chiral NPPN ligand via metallation of acyclic NPNCN systems

A new type of bidentate N,N'-chelating ligand containing a chiral phosphorus centre has been synthesized via the metallation of an acyclic NPNCN species. The zwitterionic ligand backbone contains a phosphenium centre stabilised by an imido phosphine fragment.