Effect of Lattice Relaxations on the Hyperfine Fields of Heavy Impurities in Fe

We present first-principles calculations of hyperfine fields of heavy impurities in bcc Fe. In particular, the effect of lattice relaxations on the calculated hyperfine fields are studied. The calculations are based on a full-potential Korringa–Kohn–Rostoker Green's-function method for defects and employ the local spin-density approximation for the exchange and correlation effects. The calculated lattice relaxations around the 5sp and 6sp impurities in Fe are found to be relatively small, for the first and second nearest neighbor shells less than 6% of the nearest neighbor distance. Also the estimated relative volume changes induced by the sp impurities are found to be around 60–95% of the elementary volume of Fe, surprisingly small in view of the large atomic volumes of the impurities. The calculated hyperfine fields of 5sp and 6sp elements are compared with available experimental data and it is shown that the inclusion of lattice relaxations in the calculation improves the agreement with experiments.     

Enhanced water vapor barrier properties for biopolymer films by polyelectrolyte multilayer and atomic layer deposited Al2O3 double-coating

Commercial polylactide (PLA) films are coated with a thin (20 nm) non-toxic polyelectrolyte multilayer (PEM) film made from sodium alginate and chitosan and additionally with a 25-nm thick atomic layer deposited (ALD) Al₂O₃ layer. The double-coating of PEM + Al₂O₃ is found to significantly enhance the water vapor barrier properties of the PLA film. The improvement is essentially larger compared with the case the PLA film being just coated with an ALD-grown Al₂O₃ layer. The enhanced water vapor barrier characteristics of the PEM + Al₂O₃ double-coated PLA films are attributed to the increased hydrophobicity of the surface of these films.     

Finite-order meromorphic solutions and the discrete Painleve equations

Let w(z) be an admissible finite-order meromorphic solutionof the second-order difference equation

where R(z, w(z)) is rational in w(z) withcoefficients that are meromorphic in z. Then either w(z) satisfiesa difference linear or Riccati equation or else the above equationcan be transformed to one of a list of canonical differenceequations. This list consists of all known difference Painlevéequations of the above form, together with their autonomousversions. This suggests that the existence of finite-order meromorphicsolutions is a good detector of integrable difference equations.     

The mechanism of cleavage and isomerisation of RNA promoted by an efficient dinuclear Zn2+ complex

The cleavage and isomerisation of uridine 3'-alkylphosphates was studied in the presence of a dinuclear Zn(2+) complex, 3. The rate acceleration of the cleavage by 1 mM 3 is approximately 10(6)-fold under neutral conditions. Most remarkably, the complex also promotes the isomerisation of phosphodiester bonds, although the rate-enhancement is more modest: under neutral conditions complex 3 (1 mM) catalyses isomerisation by about 500-fold. The observation of this reaction shows that the reactions of these substrates catalysed by 3 proceed through a stepwise mechanism involving an intermediate phosphorane. A β(lg) value of -0.92 was determined for the 3-promoted cleavage reaction, and modest kinetic solvent deuterium isotope effects ranging from 1.5 to 2.8 were observed. Isomerisation was less sensitive to the nature of the esterifying group, with a β value of -0.5, and the kinetic solvent deuterium isotope effects were less than 1.5. Most of these characteristics of the 3-promoted cleavage are very similar to those for the cleavage of nucleoside 3'-phosphotriesters. These data are explained by a mechanism in which the complex primarily acts as an electrophilic catalyst neutralising the charge on the phosphate and stabilising an intermediate phosphorane, with general acid catalysis promoting the cleavage reaction. In contrast to the behaviour of triesters, isomerisation is significantly slower than cleavage; this suggests that the changes in geometry that occur during isomerisation lead to a much less stable complex between 3 and the phosphorane intermediate.     

A careful look at the importance of criteria and weights

We investigate the connection between weights, scales, and the importance of criteria, when a linear value function is assumed to be a suitable representation of a decision maker’s preferences. Our considerations are based on a simple two-criteria experiment, where the participants were asked to indicate which of the criteria was more important, and to pairwise compare a number of alternatives. We use the participants’ pairwise choices to estimate the weights for the criteria in such a way that the linear value function explains the choices to the extent possible. More specifically, we study two research questions: (1) is it possible to find a general scaling principle that makes the rank order of the importance of criteria consistent with the rank order of the magnitudes of the weights, and (2) how good is a simple, direct method of asking the decision maker to “provide” weights for the criteria compared to our estimation procedure. Our results imply that there is reason to question two common beliefs, namely that the values of the weights would reflect the importance of criteria, and that people could reliably “provide” such weights without estimation.     

A computer graphics-based Decision Support System for multiple objective linear programming

In this paper we propose a computer-graphics based Decision Support System for multiple objective linear programming that builds on the VIG system (Visual Interactive Goal programming). The essential part of the VIG system is Pareto Race, a dynamic and visual approach for exploring the efficient frontier of a multiple objective linear programming problem. Our objective is to extend Pareto Race to large-scale multiple objective linear programming. The approach works with any efficient solutions that are in general not extreme point solutions. Interactive use of computer graphics plays a central role. The approach, the underlying theory, and an illustrative example are described.     

Mass spectra of halogenated esters 6—Methyl esters of some trihalogenated propanoic and butanoic acids

The mass spectral fragmentation of trihalogenated methyl esters, formed in the reactions of monochlorinated methyl propenoates and 2-butenoates with Cl₂, BrCl and Br₂, have been investigated. In most cases α-cleavage gives the base peak, [COOCH₃]⁺, the peaks originating from the subsequent losses of one or two halogen atoms also being abundant. The primary loss of a halogen atom is more prominent in the C₄ derivatives, Br˙ and Cl˙ being preferentially lost from the 2- and 3-positions, respectively. The McLafferty rearrangement yields in one case the base peak; the 2-halo compounds could in general be distinguished by that fragmentation. Typical for all 2-bromo-substituted methyl butanoates studied is the base peak, [C₃H₃]⁺, at m/z 39, and for some 3-halo compounds the peaks at m/z 95, [C₂H₄ClO₂]⁺ and 139, [C₂H₄BrO₂]⁺.     

Mass spectra of halogenated esters 5—Chloromethyl esters of aliphatic C2?C12 n-carboxylic acids and their monochlorinated derivatives

A study has been made of the mass spectral fragmentation upon electron impact of aliphatic C₂? C₁₂ chloromethyl esters and all their 66 monochlorinated derivatives. The fragmentation pathways of the parent chloromethyl esters were elucidated with the aid of the 1st FFR metastable ions. A McLafferty rearrangement gives the base peak in the C₆? C₁₁ parent esters and in almost all the 4-chloro and ω-chloro isomers. The subsequent loss of HCl gives a very characteristic peak of the chloromethyl esters and their (3-ω)-chloro derivatives at m/z 72, [C₃H₄O₂]⁺. The 2-chloro isomers have the corresponding chlorine-containing fragment ion at m/z 106/108. The mass spectra of 2-, 3-, 4-, 5- and ω-chloro isomers give the characteristic fragment ions, the mass spectra of the other isomers being very similar.     

Mass spectra of chlorinated aromatics formed in pulp bleaching 2—Chlorinated guaiacols

The fragmentation of chlorinated guaiacols (2-methoxyphenols) on electron impact has been studied. The most common fragmentation processes are interpreted and in some cases the small differences between spectra of positional isomers are explained. In addition to the well-known alkyl-oxygen fission (loss of methyl radical), metastable ion studies and deuterium labelling have indicated several new fragmentation pathways. The most characteristic are the formation of [M? CH₃? HCl]⁺ and [M? CH₃? Cl]^+· ions. In general, however, the spectra of positional isomers are shown to be very similar.