Base promoted isomerization of aziridinyl ethers: a new access to alpha- and beta-amino acids

Aziridinyl ethers are selectively and easily converted to either amino vinyl ethers or alkoxy allylamines by treatment with mixed metal bases (superbases).     

Stable quantum resonances in atom optics

A theory for stabilization of quantum resonances by a mechanism similar to one leading to classical resonances in nonlinear systems is presented. It explains recent surprising experimental results, obtained for cold cesium atoms when driven in the presence of gravity, and leads to further predictions. The theory makes use of invariance properties of the system allowing for separation into independent kicked rotor problems. The analysis relies on a fictitious classical limit where the small parameter is not Planck's constant, but rather the detuning from the frequency that is resonant in the absence of gravity.     

A Shifted-Barrier Primal-Dual Algorithm Model for Linearly Constrained Optimization Problems

In this paper we describe a Newton-type algorithm model for solving smooth constrained optimization problems with nonlinear objective function, general linear constraints and bounded variables. The algorithm model is based on the definition of a continuously differentiable exact merit function that follows an exact penalty approach for the box constraints and an exact augmented Lagrangian approach for the general linear constraints. Under very mild assumptions and without requiring the strict complementarity assumption, the algorithm model produces a sequence of pairs converging quadratically to a pair where satisfies the first order necessary conditions and is a KKT multipliers vector associated to the linear constraints. As regards the behaviour of the sequence x ^k alone, it is guaranteed that it converges at least superlinearly. At each iteration, the algorithm requires only the solution of a linear system that can be performed by means of conjugate gradient methods. Numerical experiments and comparison are reported.     

A critical analysis of the hand and Othmer-Tobias correlations

Carniti, P., Cori, L. and Ragaini, V., 1978. A Critical Analysis of the Hand and Othmer-Tobias Correlations. Fluid Phase Equilibria, 2: 39–47.The Hand (H) and Othmer-Tobias (OT) correlations are extensively analyzed on 83 aqueous and 26 non-aqueous ternary systems. Twenty solutropic systems are also included. 65% and 58% of the systems give a linear correlation coefficient greater than 0.99 for H and OT respectively.An analysis of the sensitivity to systematic or random errors demonstrates the H correlation to be highly insensitive. A remarkable insensitivity, although not completly for some systematic errors, is also demonstrated for the OT correlation. However there is sufficient proof that they are both unsuitable as a check of experimental data, even though they are used for this purpose.The relation, not necessarily linear, derived from the H correlation, log(x₃₂/x₂₂) vs. log(x₃₁/x₁₁) is useful in locating the plait point.     

Reactivity of 2-ethoxy-5-alkyl-3,4-dihydro-2H-pyrans towards aluminum alkyls : a facile synthesis of cyclobutylmethanols

2-Ethoxy-5-alkyl-3,4-dihydro-2H-pyrans react with Albuⁱ₃ and through a regioselective hydride addition provide substituted cyclobutylmethanols in very good yields.     

Free vibrations of a rectangular plate of variable thickness elastically restrained against rotation along three edges and free on the fourth edge

A literature search has shown that the title problem has received no treatment.In this paper solutions are presented as obtained (I) by use of the Ritz method with deflection functions which are simple polynomials, and (II) by use of the extended Kantorovich Method. The natural boundary conditions along the free edge are not satisfied in the first case, while they are complied with approximately when using the second approach. The fundamental frequency coefficient is determined and good agreement is shown to exist between the results obtained by the two methods.     

Studies on comblike polymers. X. Characterization of comblike polyesters by 13C NMR spectroscopy

The ¹³C NMR spectra of aromatic comblike polyesters obtained from 1,2-icosanediol and isomeric phthalic acids are reported and discussed. The analysis shows that the most informative spectral regions are those of the carbonyl and quaternary carbon resonances, whose peak multiplicities have been interpreted in terms of dyad and triad sequences. The results indicate that the extent of structural characterization possible for the polymers examined is dependent on the type of isomerism of the aromatic acid involved.     

On the effect of different edge flexibility coefficients on transverse vibrations of thin,rectangular plates

To solve problems of transverse vibration of thin, rectangular plates with different edge flexibility coefficients polynomial co-ordinate functions are used which identically satisfy the boundary conditions. It is shown that by a proper combination of the polynomials several modes of vibrations can be analyzed with a minimum amount of labour. A variational formulation is used to generate the frequency equation. Eigenvalues calculated by using a two-term approximation seem to possess extremely good accuracy, at least from an engineering viewpoint. It is also shown that the effect of in-plane forces or the case where the plate is supported on a Winkler-type foundation can be studied without any formal difficulties.