Quasilocal density functional theory in nuclei and its extension to include pairing correlations

We propose first a generalization of the Density Functional Theory. This theory leads to single-particle equations of motion with a quasilocal mean-field operator, which contains a quasiparticle position-dependent effective mass and a spin—orbit potential. The energy density functional is constructed using the extended Thomas—Fermi approximation. Some ground-state properties of doubly magic nuclei are considered within the framework of this approach. Calculations are performed using the finite-range Gogny D1S forces, and the results are compared with the exact Hartree—Fock calculations. Next, we present an extension of the density functional theory to include pairing correlations without formal violation of the particle-number condition. This problem, which is nonlocal, can be simplified by a suitable quasilocal reduction, which is also briefly discussed in this paper. The text was submitted by the authors in English.     

On dissipative structures in nonuniform media

It is found that in many physical, chemical and biological systems the nonuniform active media may be considered as a “matrix” controlling the selection of the dissipative structures of definite type.     

The divisor class group of ordinary and symbolic blow-ups

Mathematische Zeitschrift -     

Alternative products in one-pot reaction of benzylidenemalononitrile,N-methyl-2-thiocarbamoylacetamide,and ω-bromoacetophenone

N-Methyl-2-benzoylmethylsulfanyl-4-phenylnicotinamide and N-methyl-2-(4-phenyl-1,3-thiazol-2-yl)-acetamide have been obtained as alternative products to the desired N-methyl-2,3-dihydro-7H-thiazolo[3,2-a]pyridine-8-carboxamide by a one-pot cyclocondensation of benzylidenemalononitrile, N-methyl-2-thiocarbamoylacetamide, piperidine, and ω-bromoacetophenone. 2-Amino-1-methyl-6-oxo-4-phenyl-5-(4-phenyl-1,3-thiazol-2-yl)-1,6-dihydropyridine-3-carbonitrile has been obtained as main product by treatment of benzylidenemalononitrile with N-methyl-2-(1,3-thiazol-2-yl)acetamide. Dedicated to Professor I. Kalvinsh on his 60th birthday __________ Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 5, pp. 777–781, May, 2007.     

Restricted rotation in unbridged sandwich complexes: rotational behavior of closo-[Co(eta 5-NC4H4)(C2B9H11)] derivatives

Rotation about the centroid/metal/centroid axis in ferrocene is facile; the activation energy is 1-5 kcal mol(-1). The structurally similar sandwich complexes derived from closo-[3-Co(eta5-NC4H4)-1,2-C2B9H11] (1) have a different rotational habit. In 1, the cis rotamer in which the pyrrolyl nitrogen atom bisects the carboranyl cluster atoms is 3.5 kcal mol(-1) more stable in energy than the rotamer that is second lowest in energy. This cis rotamer is wide, spanning 216 degrees , and may be split into three rotamers of almost equal energy by substituting the N and the carboranyl carbon atoms adequately. To support this statement, closo-[3-Co(eta5-NC4H4)-1,2-(CH3)2-1,2-C2B9H9] (2), closo-[3-Co(eta5-NC4H4)-1,2-(mu-CH2)3-1,2-C2B9H9] 3, 2-->BF3, and 3-->BF3 have been prepared. Two rotamers are found at low temperature for 2-->BF(3) and 3-->BF3. Compounds 2, 3, and 1-->BF3 behave similarly to 1. Rotational energy barriers and the relative populations of the different energy states are calculated from 1H DNMR spectroscopy (DNMR, dynamic NMR). These results agree with those of semiempirical calculations. Without exception, the cis rotamer is energetically the more stable. The fixed conformation of 1 assists in elucidating the rotational preferences of the [3,3'-Co(1,2-C2B9H11)2]- ion in the absence of steric hindrance; the [3,3'-Co(1,2-C2B9H11)2]- ion is commonly accepted to present a cisoid orientation. Complex 1 is electronically similar to the [3,3'-Co(1,2-C2B9H11)2]- ion. Both have heteroatoms in the pi ligands, and they have the same electronegativity difference between the constituent atoms. This leads to a view of the [NC4H4]- as [7,8-C2B9H11]2- ion, with no steric implications. Therefore the [3,3'-Co(1,2-C2B9H11)2]- ion should be considered to have a cisoid structure, and the different rotamers observed to be the result of steric factors and of the interaction of the counterion with either B-H groups and/or ancillary ligands. The rotamer adopted is the one with the atoms holding the negative charges furthest apart.     

Simple PVC–PPy electrode for pH measurement and titrations

Cobaltabis(dicarbollide) [3,3'-Co(1,2-C2B9H11)](-)-doped polypyrrole (PPy) films have been prepared galvanostatically on glassy carbon electrodes in acetonitrile solution. The potential response behavior of the film of this new material has been investigated in some common pH buffers and in acid-base titrations. The potentiometric characteristics of the resulting films are indicative of a quasi-Nernstian response (approximately 50 mV/pH unit), a linearity range from pH 12 to 3 and correlation coefficients (r2) of approximately 0.98. The electrode is suitable for pH measurements and for monoprotic titrations of strong alkalis with strong acids, and weak bases with strong acids, but the long response time hinders the use of this electrode for multiprotic titrations. The time response has been dramatically improved by reducing the film thickness by using the template effect of a non-conducting polymer (PVC) cast over the graphite surface before PPy deposition. PPy polymerization occurs in the free channels of PVC leading to the formation of PPy wires. The morphological change of PPy does not affect the slope or linearity range. The response of the PVC-PPy electrochemical sensor is rapid and the sensor is easy to prepare, at low cost, and its performance is comparable with that of commercial glass electrodes.     

Silicone glue based solid phase microextraction fiber for amino acid determination

A solid phase microextraction fiber based on high temperature silicone glue coated on a stainless steel wire is presented for use in the extraction of amino acid derivatives. Amino acids were derivatizad using ethyl chloroformate. Effects of the extraction and desorption parameters including extraction and desorption time, desorption temperature and ionic strength on the extraction/desorption efficiency have been studied and quality parameters of the method were measured. A possibility to apply the proposed method for the identification of proteinaceous binders was demonstrated.     

Thermogenesis: Determination of thermokinetic parameters

This work analyses the performance of the method of obtaining the time constant (rate reaction constant) defining a first-order process after the deconvolution of the experimental record given by a heat conduction calorimeter. The analysis is carried out for different signal/noise ratios and the results given in relative time and frequency scales.     

Magneto-optical properties of Ga-substituted magnetoplumbites

The complex polar Kerr effect spectra in diamagnetically substituted hexagonal ferrite system PbFe_12–xGa_xO₁₉ (x= 0, 1, 3,4) at 290 K between 2 and 5·5 eV are studied. The previously published data on optical constants in this system are employed to obtain the offdiagonal permittivity tensor element spectra.Dedicated to Dr. Svatopluk Krupika on the occasion of his 65th birthday.     

Self-assembly of mercaptane-metallacarborane complexes by an unconventional cooperative effect: a C-H...S-H...H-B hydrogen/dihydrogen bond interaction

The existence of a dihydrogen bond (S-H...H-B) and its combination with a C-H...S hydrogen bond in an unusual cooperative effect are demonstrated from a combination of experimental and theoretical methods. This cooperative effect seems to be responsible for self-assembly of mercaptane-metallacarborane complexes such as closo-[3-Ru(eta6-C6H6)-8-HS-1,2-C2B9H10] (1) and closo-[3-Co(eta5-C5H5)-8-HS-1,2-C2B9H10] (3), which present identical supramolecular two-dimensional polymeric networks. The findings, besides documenting structurally the first S-H...(H-B)2 dihydrogen bond and the unconventional cooperative ability of a boron-attached SH group, prove that substituted carboranes have the potential to serve as building blocks for assembling complex structures.