Linear Quaternionic Equations and Their Systems

The general linear quaternionic equation with one unknown and systems of linear quaternionic equations with two unknown are solved. Examples of equations and their systems are considered.     

Statistical description of the system electrons on the liquid helium surface

System of electrons on the liquid helium surface is considered. General methods for obtaining free energy functional for the systems in mean field approximation are developed. These methods applied for treating systems with particles arranged in a lattice. Thus obtained functional of free energy is analyzed. The localization distance for electron and conditions for existing square or triangular lattices as well as phase transition between them are obtained.     

Bicyclophosphites of Terminal-Substituted Glycerols

Abstract

For the first time a systematic study was performed for the phosphorylation of 1,2,3-triols with total amides of phosphorous acid. The initial-matrix-structure dependence of phospholane-phospholane bicyclophosphites was found and investigated. The introducing of terminal substituents into a triol molecule was shown to essentially increase their stability.     

The Mössbauer effect and Rudolf enter the Khrushchev thaw

In this article, the earliest works of Soviet scientists on the recoilless resonance scattering of gamma-rays, the first visit of Rudolf Mössbauer to Moscow (1960) and the reciprocal visit of the present author to Los Angeles (1963) are recounted.     

p-Tyrosol: a new synthetic method and new types of pharmacological activity

Russian Chemical Bulletin - A new method for the synthesis of p-tyrosol, i.e., 2-(4-hydroxyphenyl)ethanol, has been developed, which considerably simplified the process of preparation of this...     

Optical response of Cu clusters in zeolite template

Optical properties of Cu clusters embedded in mordenite are studied experimentally and theoretically. In this work we discuss spectral features of the system at various reduction steps and compare then with the results of spectra obtained within a theoretical model. The model employed consists of Cu clusters embedded in a homogeneous matrix. A second model employed introduced further variation considering a three component system where air or water can be present. The macroscopic dielectric response of the system is obtained within the Maxwell Garnett approximation. In this approach the complex non-local in homogeneous dielectric response of the zeolite+copper system is replaced by an effective homogeneous dielectric function. Metallic clusters can occupy specific available cavities in the zeolite framework. The presence of clusters that are smaller than the cavities in which they reside can lead to an air-Cu or water-Cu interface which allows shifts in surface plasmon resonance energies. As observed experimentally the energy of the main resonance is seen to be insensitive to the filling fraction ratios and highly susceptible to the embedding matrix properties. Reflectance spectra have been obtained which can be explained within this model.