Doubly Periodic Solution for Nonlinear Schrödinger’s Equation With Higher Order Polynomial Law Nonlinearity

This paper obtains the travelling wave solutions of the nonlinear Schrödinger’s equation with higher order polynomial law nonlinearity. The doubly periodic wave solution of this equation is obtained. The numerical simulation is also included.     

Nonconforming finite element methods without numerical locking

We analyze the numerical approximation of a class of elliptic problems which depend on a small parameter . We give a generalization to the nonconforming case of a recent result established by Chenais and Paumier for a conforming discretization. For both the situations where numerical integration is used or not, a uniform convergence in and h is proved, numerical locking being thus avoided. Important tools in the proof of such a result are compactness properties for nonconforming spaces as well as the passage to the limit problem. Received October 7, 1997     

DNA Quantification in Nanoliter Volumes

A novel method for the determination of proteins at nanogram levels was proposed based on the decrease of resonance light scattering (RLS) signal resulting from the interaction of dibromo-o-nitrophenylfluorone (DBONPF)-sodium lauroyl glutamate (SLG) with proteins. At pH 2.97, the decrease RLS intensity was proportional to the concentration of proteins in the range of nanogram levels with 3σ detection limits being 3.4 ng mL⁻¹ for bovine serum albumin (BSA), 1.7 ng mL⁻¹ for human serum albumin (HSA), 4.1 ng mL⁻¹ for γ-globulin (γ-IgG), 4.4 ng mL⁻¹ for egg albumin, 6.2 ng mL⁻¹ for pepsin (Pep) and 3.7 ng mL⁻¹ for α-chymotrypsin (Chy). The method is no protein-to-protein variability, simple, rapid, practical and relatively free from interference from coexisting substance, as well as much more sensitive than most of the reported methods. The proposed method was successfully applied to determine total protein in human serum samples.     

Micellar behavior of some amphiphilic block polyurethanes in aqueous/nonaqueous media

Amphiphilic polyether block polyurethanes based on Pluronic type macrodiol and polyethylene glycol as co-segment have been prepared. Their micellar behavior in N,N-dimethylformamide solution, aqueous solvent mixtures and with added inorganic salts or urea was investigated by employing fluorescence spectroscopy and tensiometry techniques. Increased values of the critical micelle concentration were found for the more soluble block copolyurethane. The structural components have a strong influence on micellar characteristics of the studied systems.     

Oligo(borolyl)benzenes—Synthesis and Properties

Herein, we report the synthesis of boroles that are linked by a conjugated phenylene spacer. The characterization of these compounds was completed by NMR and UV/Vis spectroscopy, as well as X‐ray crystal diffraction. Furthermore, the coordination behavior of these oligoboroles towards five electronically and sterically disparate pyridine derivatives was studied and revealed fundamental differences in the properties of the resulting adducts. The experimental results were supported by density functional theory (DFT) calculations that showed a charge‐transfer effect upon formation of the pyridine‐4‐carbonitrile adduct. By chemical reduction of a tris(borolyl)‐substituted benzene derivative, a hexaanion was isolated as a result of a two‐electron reduction of each borolyl moiety. The interaction of the borolyl units through the aryl spacer, and the possible increase of the Lewis acidity due to the conjugation of the borolyl moieties, were investigated by base transfer reactions.     

Nucleophilic substitution reactions of diethyl 4‐nitrophenyl phosphate triester: Kinetics and mechanism

The reactions of diethyl 4‐nitrophenyl phosphate ( 1 ) with a series of nucleophiles: phenoxides, secondary alicyclic (SA) amines, and pyridines are subjected to a kinetic study. Under excess of nucleophile, all the reactions obey pseudo‐first‐order kinetics and are first order in the nucleophile. The nucleophilic rate constants (k_N) obtained are pH independent for all the reactions studied. The Brønsted‐type plot (log k_N vs. pK_a nucleophile) obtained for the phenolysis is linear with slope β=0.21; no break was found at pK_a 7.5, consistent with a concerted mechanism. The Brønsted‐type plots for the SA aminolysis and pyridinolysis are linear with slopes β=0.39 and 0.43, respectively, also suggesting concerted processes. The concerted mechanisms for the latter reactions are proposed on the basis of the lack of break in the Brønsted‐type plots and the instability of the hypothetical pentacoordinate intermediates formed in these reactions. © 2011 Wiley Periodicals, Inc. Int J Chem Kinet 43: 708–714, 2011