Structure and Stability of Quaternary Ammonium Interhalides: Experimental and Quantum-Chemical Study

The electronic structure of a series of ammonium interhalides [R¹R²R³R⁴N]XI₂, where R¹ = CH₃, C₂H₅, C₃H₇, F, H; R² = R³ = R⁴ = CH₃, H; X = Cl, Br, I, was studied by ab initio calculations (RHF/3-21G, RHF/HW, MP2/HW). The thermodynamic stability of these compounds correlates with the strength of the hydrogen bond N-H···X and three-center interhalide bond X-I-I. Calculations confirmed that, in polar solvents, these compounds preferably decompose to [R¹R²R³R⁴N]⁺ and XI₂ ^- (with subsequent decomposition of the anion), and in nonpolar solvents, to the neutral species [R¹R²R³R⁴N]X and I2. The calculation results were compared to the experimental data obtained by single crystal X-ray diffraction, ¹H NMR spectroscopy, and spectrophotometry.     

Kinetics of Reactions of α,β-Unsaturated Surfactants with Secondary Amines in a Solution

The kinetics of reactions of acrylamide derivatives (acrylamidotrihydroxymethylmethane (TA), sodium 4-acrylamidobutanoate (AA₃), sodium 6-acrylamidohexanoate (AA₅), and sodium 11-acrylamido-undecanoate (AA10)) with piperidine and morpholine in water (for TA, also in DMF, DMSO, and formamide) is studied at 293 K. These compounds are weak surfactant monomers. The critical concentrations of micelle formation (CCM) for them are determined. The self-association of AA₃, AA₅, and AA₁₀ producing micelles results in a decrease in their reactivity compared to the monomeric forms. The rates of the reactions of surfactant monomers (SM) with morpholine and piperidine are described by the second-order rate law w ₀ = k[SM]₀[Amine]₀. An empirical equation is derived that relates the CCM values to the rate constant for the reaction of a surfactant monomer with a secondary amine with charges on the -carbon and oxygen atoms of the amide group of a surfactant monomer. The rates of the reactions of TA with piperidine and morpholine are determined by the electrophilicity (acidity) of the medium, which is favorable for the Michael reaction.     

Effects of Solvents and the Structure of Amines on the Rates of Reactions of α,β-Unsaturated Nitriles and Amides with Secondary Amines

The kinetics of reactions between ,-unsaturated compounds (UCs) (acrylonitrile (AN), acryl-amide (AA), and methacrylamide (MAA)) and secondary amines (As) (piperidine, morpholine, diethanolamine, diethylamine, and dipropylamine) in water, as well as in DMF, DMSO, formamide, and 1,4-dioxane for acrylonitrile, was studied. It was found that w= k[HC]₀[A]₀for all of the test pairs. Viscosity, permittivity, and solvation characteristics, such as solvent polarity, nucleophilicity, and electrophilicity, were taken into account in considering the solvent effect on the overall reaction rate. The electrophilicity (acidity) of a medium was found to exert the greatest effect on the reaction rate. It is believed that an increase in the electrophilicity is favorable for the rapid protonation of the UC–amine intermediate complex. The effects of amine basicity, ionization potential, and dipole moment and the steric parameters of substituents in amine molecules on the rates of reactions between the unsaturated compounds and secondary amines were considered.     

Reaction of fluoroketones with vinyl ethers

Conclusions The reaction of perfluoroketones with alkylvinyl ethers leads to 2-alkoxy-4,4-bis(perfluoroalkyl) oxethanes, subsequent isomerization of which yielded-alkoxyvinyl-bis(perfluoroalkyl)carbinols.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 4, pp. 918–921, April, 1967.     

Tetraphenylphosphonium Diiodobromide: Crystal and Molecular Structure

Complex formation in systems containing 3-carboxypropyltriphenylphosphonium or tetraphenylphosphonium bromide, molecular iodine, and chloroform solution was compared. The maximum number of iodine molecules coordinated by bromides in the solution was established by spectrophotometric method using a function of average iodine number and the stability constants of the complexes were determined. The diiodobromide [(C₆H₅)₄P]BrI₂ was studied by X-ray diffraction analysis. The ab initio calculations were performed for [Y(R)₄]I₃ (Y = N, P, As; R = CH₃, C₆H₅). The obtained experimental data and the correlations with the results of quantum-chemical calculations revealed that the tetraphenylphosphonium cation binds diiodobromide anions through the terminal halogen atoms with equal probability.     

ESR studies on stabilized cool flame of propylene

In the oxidation of propylene a sharp change in the concentration of radicals, observed when passing from the slow reaction region to cool flames, indicates the chain character of the cool flame. Unlike propane and butane, the temperature dependence of the radical concentration and the maximum self-heating are practically unchanged within 603–663 K.

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On the feedback solutions of differential oligopoly games with hyperbolic demand curve and capacity accumulation

To safeguard analytical tractability and the concavity of objective functions, the vast majority of models belonging to oligopoly theory relies on the restrictive assumption of linear demand functions. Here we lay out the analytical solution of a differential Cournot game with hyperbolic inverse demand, where firms accumulate capacity over time à la Ramsey. The subgame perfect equilibrium is characterized via the Hamilton–Jacobi–Bellman equations solved in closed form both on infinite and on finite horizon setups. To illustrate the applicability of our model and its implications, we analyze the feasibility of horizontal mergers in both static and dynamic settings, and find appropriate conditions for their profitability under both circumstances. Static profitability of a merger implies dynamic profitability of the same merger. It appears that such a demand structure makes mergers more likely to occur than they would on the basis of the standard linear inverse demand.     

The Skew Normal multivariate risk measurement framework

Computational Management Science - In this paper, we consider a random vector $$X=\left( X_1,X_2\right) $$ following a multivariate Skew Normal distribution and we provide an explicit formula for...     

Interaction of Kelvin waves and inertial oscillations with the lithosphere in an oceanic shelf region

In this paper, the theory of interaction of Kelvin waves with the lithosphere at a sloping shelf is developed.