Propagation and radiation of sound from flanged circular ducts with circumferentially varying wall admittances,II: Finite ducts with sources

The radiation of sound from a flanged duct system containing various hard-walled pressure sources and a finite length of non-uniformly lined duct is considered. Reflection coefficients, transmission losses and the directivity of the radiated field are evaluated. Direct comparisons between the results for the non-uniformly lined ducts, a uniformly lined duct and a hard-walled duct are made for fixed values of admittance, liner length and source distributions. Several interesting wave scattering characteristics which relate to the design of aircraft turbofan inlet liners are uncovered.     

Regge-pole dominance in a heavy-ion DWBA calculation

We show Regge-pole dominance in a representative heavy-ion DWBA calculation and display various pole manifestations in both calculated elastic and transfer quantities.     

Selecting topology and connectivity through metal-directed macrocyclization reactions: a square planar palladium [2]catenate and two noninterlocked isomers

We report the synthesis of a [2]catenate using a square planar palladium(II) template, together with two isomers of the interlocked structure: a single tetradentate macrocycle that adopts a "figure of eight" conformation to encapsulate the metal and a complex in which the two macrocycles of the catenane are not interlocked. The three isomers can each be selectively formed depending on how the building blocks are assembled and cyclized. Olefin metathesis of both building blocks while they are attached to the metal gives the single large macrocycle in 77% yield. Cyclizing the monodentate unit prior to attaching both ligands to the metal gives the [2]catenate in 78% yield. Preforming the tridentate macrocycle produces a complex in two atropisomeric forms-threaded and nonthreaded-in a 2:3 ratio, which do not interconvert in dichloromethane at room temperature over 7 days. RCM of the nonthreaded atropisomer affords the complex with two noninterlocked macrocyclic ligands; RCM of the threaded atropisomer generates the topologically isomeric [2]catenate. Heating the acyclic atropisomers in acetonitrile provides a mechanism for their interconversion via ligand exchange, allowing the threaded:nonthreaded ratio to be varied from 2:3 to 8:1. All three fully ring-closed complexes were characterized unambiguously by 1H NMR spectroscopy and X-ray crystallography. As far as we are aware, this is the first time such a set of three formal topological and constitutional isomers has been described.     

Is energy self sufficiency a realistic goal for Canada?

Canada uses more energy per capita than any other major nation. The primary reasons are geography, climate, energy intensive industries and low energy prices. The country has substantial primary energy resources. This paper utilizes a dynamic energy policy model and a wide range of scenarios to investigate the possibility for long run energy self sufficiency and the related questions of timing, export possibilities and maintaining domestic energy prices below world levels.     

α-particle model of the rotation spectrum of 12C

It is shown that the 0⁺, 2⁺, 4⁺ rotation spectrum and an oblate deformed ground state for ¹²C are consistent with a simple α-particle model for its long range structure.     

Ionic transport in potassium chloride and a possible trwacancy contribution to it (oral presentation)

Abstract

The ionic transport properties of potassium chloride are discussed in light of the recent measurements of the electrical conductivity and chlorine ion diffusion in KCl and KCl: SrCl₂ single crystals. These measurements were analyzed using as a model a perfect crystal perturbed by five defects: isolated anion vacancies. isolated cation vacancies, divalent cation impurities, divalent-cation-impurity-cation-vacancy-complexes, and vacancy pairs. This analysis revealed nonrandom deviations between the theoretical and experimental values of the transport properties. Possible explanations of these deviations are discussed. The possibility of a trivacancy mechanism making a contribution to the conductivity is considered. The concentration and migration of trivacancies is examined.     

Natural and Doubly Natural Dualities

Representable dualities between categories of modules satisfying natural closure properties are investigated and shown to be determined by homological properties shared by various classical and recently investigated types of dualities.     

One-pot enol silane formation-Mukaiyama aldol reactions: Crossed aldehyde-aldehyde coupling,thioester substrates,and reactions in ester solvents

Trimethylsilyl trifluoromethanesulfonate (TMSOTf) and a trialkylamine base promote both in situ enol silane/silyl ketene acetal formation and Mukaiyama aldol addition reactions between a variety of reaction partners in a single reaction flask. Isolation of the required enol silane or silyl ketene acetal is not necessary. For example, crossed aldol reactions between α-disubstituted aldehydes and non-enolizable aldehydes yield β-hydroxy aldehydes in good yield. In a related reaction, the common laboratory solvent ethyl acetate functions as both an enolate precursor and a green reaction solvent. When thioesters are employed as enolate precursors, high yields for additions to non-enolizable aldehydes are routinely observed.