Asymmetric Carbon-Carbon Bond Forming Reactions Catalysed by Metal(II) Bis(oxazoline) Complexes Immobilized using Supported Ionic Liquids

A series of bis(oxazoline) metal(II) complexes has been supported on silica and carbon supports by non-covalent immobilisation using an ionic liquid. The catalytic performance of these solids was compared for the enantioselective Diels-Alder reaction between N-acryloyloxazolidinone and cyclopentadiene and the Mukaiyama-aldol reaction between methyl pyruvate and 1-methoxy-1-trimethylsilyloxy-propene. In both reactions the enantioselectivity was strongly influenced by the choice of support displaying enantioselectivies (ee values) up to 40% higher than those conducted under homogeneous reaction conditions.

bis-cis-dihydrodiols: A new class of metabolites resulting from biphenyl dioxygenase-catalyzed sequential asymmetric cis-dihydroxylation of polycyclic arenes and heteroarenes

The biphenyl dioxygenase-catalyzed asymmetric mono-cis-dihydroxylation of the tetracyclic arenes chrysene 1A, benzo[c]phenanthridine 1B, and benzo[b]naphtho[2,1-d]thiophene 1C, has been observed to occur exclusively at the bay or pseudo-bay region using the bacterium Sphingomonas yanoikuyae B8/36. The mono-cis-dihydrodiol derivatives 2A and 2C, obtained from chrysene 1A by oxidation at the 3,4-bond (2A) and benzo[b]naphtho[2,1-d]thiophene 1C by oxidation at the 1,2-bond (2C), respectively, have been observed to undergo a further dioxygenase-catalyzed asymmetric cis-dihydroxylation at a second bay or pseudo-bay region bond to yield the corresponding bis-cis-dihydrodiols (cis-tetraols) 4A and 4C, the first members of a new class of microbial metabolites in the polycyclic arene series. The enantiopurities and absolute configurations of the new mono-cis-dihydrodiols 2B, 2C, and 3B were determined by H-1 NMR analyses of the corresponding (R)- and (S)-2-(1-methoxyethyl)benzeneboronate (MPBA) ester derivatives. The structure and absolute configurations of the bis-cis-dihydrodiols 4A and 4C were unambiguously determined by spectral analyses, stereochemical correlations, and, for the metabolite 4C, X-ray crystallographic analysis of the bis-acetonide derivative 7C. These results illustrate the marked preference of biphenyl dioxygenase for the cis-di- and tetra-hydroxylations of polycyclic arenes, at the more hindered bay or pseudo-bay regions, by exclusive addition from the same (si:si) face, to yield single enantiomers containing two and four chiral centers.

Chemoenzymatic synthesis of a mixed phosphine-phosphine oxide catalyst and its application to asymmetric allylation of aldehydes and hydrogenation of alkenes

The chemoenzymatic synthesis of a Lewis basic phosphine-phosphine oxide organocatalyst from a cis-dihydrodiol metabolite of bromobenzene proceeds via a palladium-catalysed carbon-phosphorus bond coupling and a novel room temperature Arbuzov [2,3]-sigmatropic rearrangement of an allylic diphenylphosphinite. Allylation of aromatic aldehydes were catalysed by the Lewis basic organocatalyst giving homoallylic alcohols in up to 57% ee. This compound also functioned as a ligand for rhodium-catalysed asymmetric hydrogenation of acetamidoacrylate giving reduction products with ee values of up to 84%.

Design of composite asymmetric cellular beams and beams with large web openings

The design of composite asymmetric cellular beams is not fully covered by existing guidance but is an area of important practical application. Asymmetry in the shape of the cross-section of cellular beams causes development of additional bending moments in the web-posts between closely placed openings. Furthermore, the development of local composite action influences the distribution of forces in the web-flange Tees. The design method presented in this paper takes account of high degrees of asymmetry in the cross-section and also the influence of elongated or rectangular openings.

Spin-orbit effects on photoionization-produced alignment of the Ar+ 3p(4)(P-3)4p levels

We have determined photoionization spectra of Ar with excitation of the 3p(4)(P-3)4p states emphasizing the effects of two different classes of Ar+ spin-orbit interactions. The spin-orbit splitting of each Ar+ state adequately describes the resonant excitation of the quartet states of Ar+, and gives Ar photoionization cross sections with excitation of the 3p4(3P)4p P-2(3/2)o and P-4(5/2)o levels of Ar+ in sufficiently good agreement with experiment to identify the observed resonances and to estimate the excitation strengths. In addition, we demonstrate the importance of spin-orbit induced mixing of different Ar+ LS-coupled states for observables such as the alignment of the 3p(4)(P-3)4p P-4(5/2)o level and the excitation of Rydberg series converging to the 3p(4)(P-3)4p S-2(o) and S-4(o) thresholds.

Excitation of the 3p^4(4s,3d,4p) Ar^+ states during Ar photoionization:Intensity, alignment, and orientation

Ar photoionization is studied using the R-matrix formalism with emphasis on the simultaneous excitation of the residual A^r+ ion. Cross sections have been obtained for excitation of the 3p^4(3d,4s,4p) states. A comparison with experiments having a resolution of 70 meV shows reasonable agreement for the position and shape of resonance structures. The relative magnitude of the resonances proves to be more elusive. The partial cross section for excitation of the 3p^4(3Pe)4p(2P_3/2^o) and (2D_3/2^o) levels is treated in more detail. A comparison of LS-coupling calculations with high-resolution experimental results shows good agreement for both the excitation cross sections and the polarization of the fluorescence. We also predict the orientation for both levels. We demonstrate that the polarization of the fluorescence originating from the (2D_3/2^o) level can be employed to study spin-orbit effects in Ar photoionization.

Modulational instability in asymmetric coupled wave functions

The evolution of the amplitude of two nonlinearly interacting waves is considered, via a set of coupled nonlinear Schrödinger-type equations. The dynamical profile is determined by the wave dispersion laws (i.e. the group velocities and the group velocity dispersion terms) and the nonlinearity and coupling coefficients, on which no assumption is made. A generalized dispersion relation is obtained, relating the frequency and wave-number of a small perturbation around a coupled monochromatic (Stokes') wave solution. Explicitly stability criteria are obtained. The analysis reveals a number of possibilities. Two (individually) stable systems may be destabilized due to coupling. Unstable systems may, when coupled, present an enhanced instability growth rate, for an extended wave number range of values. Distinct unstable wavenumber windows may arise simultaneously.

Asymmetric information without common priors: an indirect evolutionary analysis of quantity competition

The common prior assumption justifies private beliefs as posterior probabilities when updating a common prior based on individual information. We dispose of the common prior assumption for a homogeneous oligopoly market with uncertain costs and firms entertaining arbitrary priors about other firms' cost-type. We show that true prior beliefs can not be evolutionarily stable when truly expected profit measures (reproductive) success.