Root-Mean-Square Amplitude of Zero-Point Vibrations in a Crystal

Russian Physics Journal - The paper shows that the values of zero-point energy and vibrations of atoms in a crystal determined by the uncertainty principle, depend on the dynamic response of atoms....     

Spectroscopy of GaAs/AlGaAs microstructures with submicron spatial resolution using a near-field scanning optical microscope

A near-field scanning optical microscope (NSOM), which we built, is used to investigate 1–5-μm wide stripes with a 10-nm thick layer—a quantum well — on a GaAs surface. A map of the photoluminescence intensity is obtained synchronously with the topographic profile of the structures. The measured spatial distribution of the photoluminescence intensity is described satisfactorily in a model that takes into account carrier diffusion in the layer and the existence of a region with a short carrier lifetime near the side boundaries of the layer. Pis’ma Zh. éksp. Teor. Fiz. 63, No. 7, 523–527 (10 April 1996)     

Spectrum and spectral decomposition of a non-self-adjoint differential operator

We obtain the spectrum structures and the spectral decomposition of a non-self-adjoint differential operator L generated by the differential expression l[y] = - y’’ + ax ^m e ^iβx y, m, μ, ≥ 1, in the space L ₂(-∞, ∞).     

Bisindoles. 14. Electrophilic substitution reactions in the di(5-indolyl) oxide series

Chemistry of Heterocyclic Compounds - Some electrophilic substitution reactions in the di(5-indolyl) oxide series were studied. The Vilsmeier and Mannich reactions and diazo coupling and...     

Reaction of β-aroylacrylic acids with 1-substituted 3,4-dihydroisoquinolines

The reactions of -aroylacrylic acids and their methyl esters with 1-methyl- and 1-benzyl-3,4-dihydroisoquinolines lead to the formation of -substituted -aroylpropionic acids and their esters, which undergo cyclization to benzopyrrocolinone derivatives.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 7, pp. 943–945, July, 1979.     

Reactions of triphenylphosphine with 2,3-dihalo-2-methylpropionic acids and their methyl esters

Triphenylphosphine reacts with 2,3-dichloro-2-methylpropionic acid and its ester along the dehydrochlorination pathway with the participation of the less labile hydrogen atom from the methyl group. The subsequent reaction of the unsaturated product with triphenylphosphine yields 2-carboxypropane- and 2-methoxycarbonylpropane-1,3-diylbis(triphenylphosphonium) dichlorides, respectively. The unusual course of dehydrochlorination may be due to easier electron density transfer from the C-H bond of the methyl group as compared to the chloromethyl group in the carbocationoid intermediate. With the bromine analogs, the reaction pathways are different. The ester reacts similarly to dibromopropionic acid and its derivatives, following the debromination scheme, whereas the free acid gives the product of double nucleophilic substitution.     

Study of the catalytic dehydrochlorination of 1,2-dichloropropane

Catalytic dehydrochlorination of 1,2-dichloropropane in the presence of γ-Al₂O₃, CaX, and haydite was studied. A relationship between the catalytic activity and acidity of the catalysts under study was revealed.