Constant current versus constant voltage plasma anodization techniques

In this paper a comparison is made between two basic techniques of plasma anodization, i.e. constant current and constant voltage methods. The comparison is based on new mathematical-physical models of both plasma anodization techniques, in which the condition of oxide growth during the process is expressed in terms of fluxes (oxygen ions and electrons) and/or voltages. Detailed analysis of these parameters, their changes during the oxide growth and their comparison enabled the confirmation of some of the experimentally observed effects and to predict others, unnoticed up till now. Based on this analysis it is concluded that the oxide growth during the constant current plasma anodization is not only easier to be monitored and controlled, but also should result in much better anodic oxide electrophysical properties, their better control and repeatability.     

Application of 2-(octylsulphanyl)benzoic acid as Pb<Superscript>2+</Superscript> selective ionophore in hybrid membrane system

A solution of 2-(octylsulphanyl)benzoic acid in 1,2-dichloroethane was used as a liquid membrane for selective pertraction of Pb²⁺ cations. Transport processes were carried out in a multi-membrane hybrid system (MHS) consisting of two cation-exchange membranes (CEM) and a flowing liquid membrane (FLM) in the following order: CEM | FLM | CEM. The liquid membrane phase was dehydrated continuously using a pervaporation method (PV). The system was capable of transporting Pb²⁺ ions selectively from a multi-cation aqueous solution composed of Na⁺, K⁺, Ca²⁺, Mg²⁺, and Pb²⁺ nitrates. A comparative study of the carrier efficiency under various feed pH conditions was performed. It was found that the carrier exhibited sufficient selectivity and transport efficiency under a broad range of operational conditions, with a maximum transport rate of Pb²⁺ ions attaining the value of (1.09 ± 0.03) × 10⁻¹⁰ mol cm⁻² s⁻¹ and the selectivity coefficient of up to 40.     

A maximum principle for Markov regime-switching forward–backward stochastic differential games and applications

In this paper, we present an optimal control problem for stochastic differential games under Markov regime-switching forward–backward stochastic differential equations with jumps. First, we prove a sufficient maximum principle for nonzero-sum stochastic differential games problems and obtain equilibrium point for such games. Second, we prove an equivalent maximum principle for nonzero-sum stochastic differential games. The zero-sum stochastic differential games equivalent maximum principle is then obtained as a corollary. We apply the obtained results to study a problem of robust utility maximization under a relative entropy penalty and to find optimal investment of an insurance firm under model uncertainty.     

Matricial R-transform

We study the addition problem for strongly matricially free random variables which generalize free random variables. Using operators of Toeplitz type, we derive a linearization formula for the matricial R-transform related to the associated convolution. It is a linear combination of Voiculescu?s R-transforms in free probability with coefficients given by internal units of the considered array of subalgebras. This allows us to view this formula as the matricial linearization property of the R-transform. Since strong matricial freeness unifies the main types of noncommutative independence, the matricial R-transform plays the role of a unified noncommutative analog of the logarithm of the Fourier transform for free, boolean, monotone, orthogonal, s-free and c-free independence.     

DFT study of the ring opening polymerization of ε-caprolactone by grafted lanthanide complexes: 1--Effect of the grafting mode on the reactivity of borohydride complexes

The influence of the grafting mode of a borohydride lanthanum complex on a silica surface on the energetic (kinetic and thermodynamic parameters) of the Ring Opening Polymerization (ROP) reaction of ε-caprolactone has been studied in the framework of density functional theory (DFT). For all considered grafted catalysts (monografted, bigrafted, or bigrafted after breaking of a Si-O-Si bridge), it is shown that lanthanum borohydride grafted complexes are efficient in lactone polymerization. Moreover, the reaction pathways (leading to a -CH(2) OBH(2) chain end) are predicted to be energetically similar for the three grafting modes, indicating that all grafted modes can account for the activity for silica treated at 700 °C. The catalytic activity of the grafted complexes is also very similar to that of the homogeneous complexes.     

Amphiphilic organic ion pairs in solution: a theoretical study.

The macroscopic manifestation of hydrophobic interactions for amphiphilic organic ion pairs (tetraalkylammonium-anion) has been shown experimentally by measuring their association constants and their affinity with the organic phase. Beyond a certain size, there is a direct relation between association constants and chain lengths in tetraalkylammonium ions. We propose to cast a bridge between these results and geometrical properties considered at the level of a single ion pair by means of quantum chemistry calculations performed on model systems: trimethylalkylammonium-pentyl sulfate instead of tetraalkylammonium-dodecyl sulfate. Two limiting cases are considered: head-to-head configurations, which yield an optimal electrostatic interaction between polar heads, and parallel configurations with a balance between electrostatic and hydrophobic interactions. All properties (geometries, complexation energies, and atomic charges) were obtained at the MP2 level of calculation, with water described by a continuum model (CPCM). Dispersion forces link hydrocarbon chains of tetraalkylammonium ions and pentyl sulfate, thus yielding (for the largest ion pairs) parallel configurations favored with respect to head-to-head geometries by solute-solvent electrostatic interactions. Given the small experimental association energies, we probe the accuracy limit of the MP2 and CPCM methods. However, clear trends are obtained as a function of chain length, which agree with the experimental observations. The calculated monotonic stabilization of ion pairs when the hydrocarbon chain increases in length is discussed in terms of electrostatic interactions (between ions and between ion pairs and water), dispersion forces, and cavitation energies.     

Synthesis of 1-Aminoalkanephosphonic and Phosphonous Acids Bearing Furan Moiety

Abstract

Synthesis of a series of 1 -aminoalkanephosphonic acids bearing hran moiety was performed, starting from the preparation[I] of various N-substituted aminophosphonic esters. We were encouraged by previous Boduszek's study [2].     

Synthesis of (2-Furyl)Aminomethanephosphonic Acids Derivatives

Abstract

Synthetical aspects of furylaminophosphonic acids are discussed here.