New theoretical expressions for the five adsorption type isotherms classified by BET based on statistical physics treatment

New theoretical expressions to model the five adsorption isotherm types have been established. Using the grand canonical ensemble in statistical physics, we give an analytical expression to each of five physical adsorption isotherm types classified by Brunauer, Emett, and Teller, often called BET isotherms. The establishment of these expressions is based on statistical physics and theoretical considerations. This method allowed estimation of all the mathematical parameters in the models. The physicochemical parameters intervening in the adsorption process that the models present could be deduced directly from the experimental adsorption isotherms by numerical simulation. We determine the adequate model for each type of isotherm, which fixes by direct numerical simulation the monolayer, multilayer, or condensation character. New equations are discussed and results obtained are verified for experimental data from the literature. The new theoretical expressions that we have proposed, based on statistical physics treatment, are rather powerful to better understand and interpret the various five physical adsorption type isotherms at a microscopic level.     

Enzymatic polyesterification in organic media. Enzyme-catalyzed synthesis of linear polyesters. I. Condensation polymerization of linear hydroxyesters. II. Ring-opening polymerization of ϵ-caprolactone

With the object to synthesize polyesters by enzymatic catalysis in organic media, two directions have been investigated: (1) the condensation polymerization of linear ω-hydroxyesters and (2) the ring-opening polymerization of lactones. The commercially-available crude porcine pancreatic lipase (PPL), suspended in organic solvents, was the preferred enzyme for the reactions. In order to determine the optimal conditions for the condensation polymerization, the bifunctional methyl 6-hydroxyhexanoate was used as a model compound to study the influence of the following parameters: type of the enzymecatalyst, kind of solvent, concentration, temperature, duration, size of the reaction mixture, and stirring. Film-forming polyesters with a degree of polymerization (DP) up to about 100 were obtained from linear aliphatic hydroxyesters in n-hexane at reflux temperature (69°C). Yet concurrently with the intermolecular condensation polymerization, macrolactones were also formed by intramolecular reaction. Two aromatic hydroxyesters did not react under these conditions. For the ring-opening polymerization of lactones the reaction of ?-caprolactone with methanol as the preferred nucleophile, was studied. Polyesters with a DP of up to 35 were obtained in n-hexane at temperatures between 25 and 40°C. The degrees of polymerization of the polyesters were determined by comparative analyses of the end groups in the ¹H-NMR spectra and by determination of molecular weights either by vapor phase osmometry, gel permeation chromatography, or intrinsic viscosity. © 1993 John Wiley & Sons, Inc.     

Toward computational design of efficient plasticizers for nylon

Polyamides are semi‐crystalline polymers useful in a wide range of applications in the plastics industry. Some applications require higher flexibility and workability of the polyamides. Therefore, plasticizers are added to ease compounding and processing procedures and produce the desired product properties. The goal of the present study was to use computational tools to estimate plasticizer efficiency in plasticizing nylon 66/6. It is known that plasticizer efficiency is greatly influenced by structural effects of the plasticizer and the nature of the polymer, and therefore in this research, a systematic study is reported to explore these factors. A homology series of esters of 4‐hydroxybenzoate with various chain lengths of the alcohol moiety was examined. Also, the efficiency of linear plasticizers was compared to branched ones and stereoisomers were considered. Plasticizer efficiency was determined by calculating cohesive energy density (CED), solubility parameters, free volume and interaction intensities of pristine nylon and the nylon–plasticizer blends. It was found that plasticizer efficiency of esters with linear alcohol moiety is higher than branched chains. Whereas plasticizer efficiency increases when the branched side chain is more bulky, no coherent trend was observed for the linear side chain of the alcohol moiety. Surprisingly, a significant difference was observed between the pair of enantiomers. The most efficient plasticizer of the eight examined was the chiral molecule (R)‐2‐Methylbutyl‐4‐Hydroxybenzoate (R‐MB4HB), increasing the free volume of the nylon by 60‐fold (3‐fold greater than the original Methyl 4‐Hydroxybenzoate (M4HB)). Copyright © 2013 John Wiley & Sons, Ltd.     

Some metrological aspects of the comparison between two ordinal measuring systems

The usage of ordinal scales (sometimes called ‘semi-quantitative’ scales) for performing measurements in the area of applied chemical metrology and quality assurance is widespread. This paper presents a method for handling actions such as calibration, measuring systems’ capabilities comparison and reproducibility evaluation as a comparison between two measuring systems (MSs) referring to a known/unknown reference standard. The strength of the agreement between these MSs is evaluated through two known versions of Cohen’s kappa statistics (the traditional one and the modified one). The effectiveness of these statistics from the metrological point of view is examined, and the preferability of the modified kappa statistics is demonstrated via an example.     

Set inertia-preserving matrices

The inertia-preservers of several sets of matrices are identified. The sets include: all real matrices, all complex matrices, triangular matrices, real symmetric matrices and Hermitian matrices.     

Enzymatic condensation and polycondensation reactions in organic solvents

Lipases in organic solvents catalyse lactonisation or polymerisation of ω-hydroxyesters. Under these conditions the enzymes exhibit both enantioselectivity and prochiral selectivity. This approach was used to develop the synthesis of chiral γ-lactones and A-B type polyesters from racemic or prochiral hydroxyester substrate.     

Prediction of environmental stress cracking in polycarbonate by molecular modeling

Environmental stress cracking (ESC) is a premature failure of a polymer exposed to a fluid, under stress which is much less than its yield stress. Many experimental works were done before in an effort to predict experimentally the ESC potential of a fluid in different polymers. None of the previous works applied molecular modeling techniques to predict this potential so this work is a pioneering work. This study's goal was to apply atomistic molecular modeling techniques to gain a better understanding of the ESC mechanism and to predict the ESC potential of different fluids in polymers. Our model experimental system was amorphous polycarbonate (PC) with water as an ESC fluid. The computational study was expanded to include a high level ESC fluid for PC–toluene and a non ESC fluid–BD, together with the moderate ESC fluid–water. A clear distinction between ESC fluids and non ESC fluids for PC was achieved by means of molecular modeling. The experimental work approved that water is an ESC fluid for PC as predicted in the computational part. Copyright © 2014 John Wiley & Sons, Ltd.     

Simulation of novel soy protein‐based systems for tissue regeneration applications

In the present research, molecular modeling methods were used to study novel porous soy protein conjugates with gelatin or alginate, which were recently developed as potential scaffolds for tissue engineering applications. Gelatin (protein) and alginate (polysaccharides) were chemically crosslinked to soy protein isolates (SPI) in order to obtain a porous 3D network. Computational tools were applied to estimate the crosslinking degree and compare the degradation rate of soy–gelatin or soy–alginate conjugates. Soy protein 3D structure was obtained from the Protein Data Bank (PDB). Alginate and gelatin structures were built and subjected to dynamic simulation using the molecular modeling package Material Studio 7.0. The crosslinking degree was estimated by the miscibility of the two reactants and the interaction with the crosslinking agents 1‐ethyl‐3‐(3‐dimethylaminopropyl) carbodiimide (EDC) or glyoxal. The calculations revealed that soy protein mixes well with gelatin but not with alginate. Radial distribution function (RDF) calculations showed that the interaction distance between alginate and EDC is significantly shorter than between gelatin and EDC, probably because of ionic attraction between the ammonium groups of EDC and the carboxylate groups in alginate, which facilitates the crosslinking reaction. The degradation rate of soy protein conjugates was related to their interaction with water. It was found that the solubility of soy–gelatin in water is higher than soy–alginate and that water molecules form more hydrogen bonds with soy–gelatin than with soy–alginate. These findings might be the reason for the observed difference in degradation rate of the two conjugates; the soy–gelatin degrades faster than soy–alginate. Copyright © 2016 John Wiley & Sons, Ltd.     

Set inertia-preserving matrices∗ †

The inertia-preservers of several sets of matrices are identified. The sets include: all real matrices, all complex matrices, triangular matrices, real symmetric matrices and Hermitian matrices.