Solvent Effects on the piezochromism of molybdenum(IV) and tungsten(IV) anions [M(CN)3O(diimine)]−

Solvatochromism of the [Mo(CN)₃O(phen)]⁻ ion has been studied. Solvent effects on pressure dependence (up to 1.25 kbar) of wavelengths of maximum absorption for charge-transfer bands of several molybdenum(IV) and tungsten(IV) complexes, [M(CN)₃O(diimine)]⁻ (M = Mo or W), are described. The effects of applied pressure are larger for less polar unstructured solvents than for highly polar hydrogen-bonded solvents. This revised version was published online in June 2006 with corrections to the Cover Date.     

Generalizations of some results concerning microperiodic mappings

It is well known that a microperiodic function that maps the set of reals into itself and is continuous at a point (Lebesgue measurable, respectively) must be constant (constant almost everywhere, resp.). We generalize those results in several directions. As a consequence we obtain conclusions concerning some systems of functional inequalities.     

Effective High‐Pressure Cleavage of Sterically Hindered Steroid Esters

A simple and effective method to deprotect of sterically hindered steroid esters is described. Deprotection was carried out in MeOH in the presence of a catalytic amount of Et₃N under high‐pressure conditions. Enzymatic, anionite, and high‐pressure methods are compared.     

Energy-momentum and angular momentum of isotropic homogeneous cosmological models in a gauge theory of gravity

It is shown that in isotropic, homogeneous cosmological models in the framework of a gauge theory of gravity, the material and gravitational parts of the energy-momentum, orbital angular momentum, and spin cancel each other out locally, resulting in the global quantities being trivially zero.     

An interesting property of the isotropic and homogeneous cosmological models

It is shown by using covariant expressions that in the framework of the isotropic and homogeneous cosmology the gravitational energy and matter energy, the gravitational and matter linear and angular momentum, cancel each other out locally, resulting in the corresponding global quantities being zero.     

On Continuous and Smooth Solutions of the Schröder Equation in Normed Spaces

The problem of the existence of continuous and smooth solutions of the Schr?der equation defined on normed spaces is examined. This research was supported by the Silesian University Mathematics Department (Linear functional equations program).     

Conformational studies by nuclear magnetic resonance. VII—The direct observation of rotational isomers in some enamino carbonyl compounds and their thione derivatives by carbon magnetic resonance

Carbon-13 magnetic resonance spectra of the s-cis and s-trans rotamers of enamino ketones and thiones of the general formula \documentclass{article}\pagestyle{empty}\begin{document}${\rm X =}\mathop {\rm C}\limits^{\rm 1} {\rm (}\mathop {\rm R}\limits^{\rm 1} {\rm)}\mathop {\rm C}\limits^{\rm 2} {\rm H =}\mathop {\rm C}\limits^{\rm 3} {\rm HN}\mathop {{\rm R}_{\rm 2}}\limits^{\rm 4}$\end{document} (where × = O or S and R-1, R-4 = alkyl) have been obtained. With dimethylaminoacrolein and its thione analogue, restricted rotation could only be observed in the latter. The chemical shift differences between rotamers and homologues are attributed to changes in conjugation and to induced bond polarisation, both these factors resulting from steric strain. In particular, nonplanar deformations of the s-trans rotamers are deduced from their C-2 chemical shift values.     

Homogeneization problems for weak almost periodic differential equations

In this paper we state some theorems on homogeneization of the equationx′=f (t, x), wheref is a weak almost periodic function int and we give a definition ofG-equivalence for ordinary differential equations.     

A characterization of strong measure zero sets

We show that a setXυR has strong measure zero iff for every closed measure zero setFυR,F+X has measure zero. Supported by KBN grant PB 2 1017 91 01.