Lipases A and B from Candida antarctica in the enantioselective acylation of ethyl 3-heteroaryl-3-hydroxypropanoates: aspects on the preparation and enantiopreference

The preparative scale kinetic resolution of racemic ethyl 2- and 3-furyl- and 2- and 3-thienyl-3-hydroxypropanoates has been performed by Candida antarctica lipases A and B with vinyl esters. A study based on the present work together with the literature has been carried out in terms of lipase enantiopreference and substrate structure. We also discuss the excellent behavior of the lipase A in O-acylations of secondary alcohols with respect to enantiopreference.     

Irradiation effects on canvas oil painting: Spectroscopic observations

“Winter” oil painting, by Romanian contemporary artist George Alexandrescu was used as experimental model for the substantiation of gamma radiation treatment, as the best choice to stop the biological attack of paintings. In this purpose, spectroscopic and colorimetric methods were used to analyse in situ, non-destructively and non-contact, the experimental model before and after ⁶⁰Co gamma irradiation. Chemical structure and colour changes were monitored by FTIR, FT-Raman and Vis reflectance spectroscopy. Negligible Infrared spectral transformations have been observed after irradiation. Furthermore, it was found that gamma irradiation did not induce any significant colour alterations. Insignificant structural and colour changes observed, recommend the use of gamma irradiation in the disinfection of oil paintings.     

Functional limit theorems for random regular graphs

Consider $d$ uniformly random permutation matrices on $n$ labels. Consider the sum of these matrices along with their transposes. The total can be interpreted as the adjacency matrix of a random regular graph of degree $2d$ on $n$ vertices. We consider limit theorems for various combinatorial and analytical properties of this graph (or the matrix) as $n$ grows to infinity, either when $d$ is kept fixed or grows slowly with $n$ . In a suitable weak convergence framework, we prove that the (finite but growing in length) sequences of the number of short cycles and of cyclically non-backtracking walks converge to distributional limits. We estimate the total variation distance from the limit using Stein’s method. As an application of these results we derive limits of linear functionals of the eigenvalues of the adjacency matrix. A key step in this latter derivation is an extension of the Kahn–Szemerédi argument for estimating the second largest eigenvalue for all values of $d$ and $n$ .     

On Canonical Ideals of One-Dimensional Local Analytically Irreducible Rings

A characterization is given for certain canonical ideals of local one-dimensional commutative rings with identity under the assumption of analytical irreducibility. This extends both a known result characterizing the case when the ring itself is a canonical ideal (i.e., it is a Gorenstein ring), and another one which is a general characterization of canonical ideals but under the further assumption of residual rationality.     

Complemented spaces of operators

Classical results of Kalton are used to study the complementation of the space of weakly compact operators and the space of compact operators in the space of bounded linear operators from to .

     

One-pot synthesis to engineer a Co-KIT-6 catalyst for the ring opening of methylcyclopentane

Co-KIT-6 mesoporous materials with Ia3d symmetry and Si/Co ratios of 50, 25, and 10 were prepared using hydrothermal one-pot synthesis. The Co-KIT-6 mesoporous materials were characterized by X-ray diffraction, N₂ adsorption–desorption isotherms, scanning electron microscopy, transmission electron microscopy, Fourier transform infrared, and X-ray photoelectron spectroscopy. The physicochemical characterization results show that all of the samples have well-ordered cubic mesostructures and that the structural integrity is preserved for n_Si/n_Co ratios as high as 10. It was found that most of the cobalt ions exist as isolated framework species, but for Co-KIT-6 with an n_Si/n_Co ratio of 10, the presence of extra-framework species/small cobalt oxide clusters cannot be excluded. The ability of these catalysts was tested by examining the conversion of the reaction of methylcyclopentane with hydrogen at atmospheric pressure and temperatures between 200 and 450 °C. The catalytic results show that their catalytic activity increases significantly with increasing cobalt content. The active sites, tetrahedrally coordinated Co and isolated atomic Co sites, were responsible for the endocyclic CC bond rupture between substituted secondary–tertiary carbon atoms, whereas the small clusters serve as active sites for the successive CC bond rupture. The ring-opening selectivity can be improved by increasing the density of isolated cobalt atom sites at low reaction temperatures.     

Interpolation properties associated with the second order abstract Cauchy problem

Summary LetA be a closed linear operator on a Banach spaceX. In this work we present some interpolation and extrapolation results for the well posed abstract Cauchy problem of second order; namely, if the second order abstract Cauchy problem is exponentially well posed onD(A ^{k + 1} ),k N thenA is sandwiched by cosine function generators.     

Silylene-bridged dinuclear iron complexes [Cp(OC)2Fe]2SiX2 (X = H,F, Cl,Br, I). Synthesis,molecular structure,vibrational spectroscopy,and theoretical studies

The mu2-silylene-bridged iron complexes [Cp(OC)(2)Fe](2)SiX(2) (X = F (2), Br (4), I (5)) have been prepared from the mu2-SiH(2) functional precursor [Cp(OC)(2)Fe](2)SiH(2) (1) by hydrogen/halogen exchange, using HBF(4), CBr(4), and CH(2)I(2), respectively. The fluoro- and bromo-substituted derivatives 2 and 4 are converted upon UV irradiation to the carbonyl- and dihalosilylene-bridged dinuclear complexes [Cp(OC)Fe](2) (mu2-CO)(mu2-SiX(2)) (X = F (6), Br (7)) via CO elimination. All new compounds have been characterized spectroscopically, and, in addition, the molecular structure of 2, 4, and the previously reported chloro derivative [Cp(OC)(2)Fe](2)SiCl(2) (3) has been determined by single-crystal X-ray diffraction methods. For 1-5, the Fourier transform infrared and Raman spectra have been recorded and discussed, together with density functional theory calculations, which support the experimental results of the structural and vibrational analysis. The computed geometries, harmonic vibrational wavenumbers, and their corresponding Raman scattering activities are in good agreement with the experimental data. A significant dependence of the CO and Fe-Si stretching modes on the X substituents of the mu2-silylene bridge has been observed and discussed.