Thermal decomposition of strontium hydroxide

The thermal behaviour of strontium hydroxide octahydrate was studied by thermal analysis, an X-ray diffraction technique and optical microscopy. Up to 210° this compound transforms to the hexahydrate and then to the monohydrate. Anhydrous strontium hydroxide crystallizes in the tetragonal system and a polymorphous transformation may occur at 480°. From 530° on it decomposes in three stages. Amorphous strontium oxide is obtained at 700°.

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Zusammenfassung Das thermische Verhalten von Strontiumhydroxyd-Oktahydrat wurde röntgendiffraktometrisch, thermoanalytisch und durch optische Mikroskopie untersucht. Die Verbindung geht bis 210° in das Hex- und daraufhin ins Monohydrat über. Die Anhydroverbindung kristallisiert tetragonal. Bei 480° erfolgt eine polymorphe Umwandlung. Über 530° verläuft eine Dehydroxylation in drei Stufen. Amorphes Strontiumoxyd wurde bei 700° erhalten.

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Résumé On a étudié le comportement thermique de l'hydroxyde de strontium octohydraté par analyse thermique, diffraction de rayons X et examen microscopique. Ce composé donne l'hexahydrate jusqu'à 210° puis le monohydrate. L'hydroxyde de strontium anhydre cristallise dans le système tétragonal et présente une transformation polymorphique à 480°. La déshydroxylation commence à 530° et s'effectue en 3 étapes. L'oxyde de strontium amorphe s'obtient à 700°.

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, . 210° , . 480°. 530° . 700°.

     

Preparation and characterization of BiFeO3 ceramic

From the technological point of view, the mutual control of electric and magnetic properties is an attractive possibility, but the number of candidate materials is limited. One of them, BiFeO₃, has critical conditions for synthesizing single phase since the temperature stability range of the phase is very narrow. Hence, various aspects of BiFeO₃ system have to be studied.

Fine particles of BiFeO₃ are obtained using a wet chemical route (combustion technique) and compared with the same product prepared by classic solid state reaction. The sintering programs have been varied in order to investigate the mechanism reactions and to show the relation between the microstructures and the magnetoelectric behavior.

The samples are characterized by using various techniques: X-ray diffraction (XRD) study is carried out for phase determination and lattice parameter calculations; scanning electron microscopy (SEM-EDX) and TEM to find out grain size and morphology; differential thermal analysis (DTA) to determine transformations of the starting materials. The obtained bulk materials were characterized (density, porosity, etc.) and correlated with the phase composition present in the samples. Electric and magnetic properties were evaluated.

This study underlines the role of the preparation route on the structural and morphological characteristic of the obtained materials and their influence on the magnetoelectric behavior.     

q‐pseudoconvex and q‐holomorphically convex domains

In this article we prove a global result in the spirit of Basener's theorem regarding the relation between q‐pseudoconvexity and q‐holomorphic convexity: we prove that any open subset $\mathrm{\Omega }?{\mathbb{C}}^n$ with smooth boundary, strictly q‐pseudoconvex, is $(q+1)$‐holomorphically convex; moreover, assuming that Ω verifies an additional assumption, we prove that it is q‐holomorphically convex. We also prove that any open subset of ${\mathbb{C}}^n$ is n‐holomorphically convex.     

Criterions for detecting the existence of the exponential dichotomies in the asymptotic behavior of the solutions of variational equations

We prove that the admissibility of any pair of vector-valued Schäffer function spaces (satisfying a very general technical condition) implies the existence of a “no past” exponential dichotomy for an exponentially bounded, strongly continuous cocycle (over a semiflow). Roughly speaking the class of Schäffer function spaces consists in all function spaces which are invariant under the right-shift and therefore our approach addresses most of the possible pairs of admissible spaces. Complete characterizations for the exponential dichotomy of cocycles are also obtained. Moreover, we involve a concept of a “no past” exponential dichotomy for cocycles weaker than the classical concept defined by Sacker and Sell (1994) in [23]. Our definition of exponential dichotomy follows partially the definition given by Chow and Leiva (1996) in [4] in the sense that we allow the unstable subspace to have infinite dimension. The main difference is that we do not assume a priori that the cocycle is invertible on the unstable space (actually we do not even assume that the unstable space is invariant under the cocycle). Thus we generalize some known results due to O. Perron (1930) [14], J. Daleckij and M. Krein (1974) [7], J.L. Massera and J.J. Schäffer (1966) [11], N. van Minh, F. Räbiger and R. Schnaubelt (1998) [26].     

Functional data clustering: a survey

Clustering techniques for functional data are reviewed. Four groups of clustering algorithms for functional data are proposed. The first group consists of methods working directly on the evaluation points of the curves. The second groups is defined by filtering methods which first approximate the curves into a finite basis of functions and second perform clustering using the basis expansion coefficients. The third groups is composed of methods which perform simultaneously dimensionality reduction of the curves and clustering, leading to functional representation of data depending on clusters. The last group consists of distance-based methods using clustering algorithms based on specific distances for functional data. A software review as well as an illustration of the application of these algorithms on real data are presented.     

Thin films of arylenevinylene oligomers prepared by MAPLE for applications in non-linear optics

This paper discusses two arylenevinylene oligomers with optical nonlinear properties. Their trans molecular structure was confirmed by Fourier Transform Infrared Spectroscopy and Nuclear Magnetic Resonance. Second Harmonic Generation and two-photon fluorescence have been observed on Matrix Assisted Pulsed Laser Evaporation-deposited thin films. We have seen two local maxima in UV-Vis spectra and a red shift of the photoluminescence peak for carbazole-based oligomer, which can be correlated with a higher conformational flexibility and with strong polarization interactions in the solid state. Scanning Electron Microscopy and Atomic Force Microscopy images have revealed a grainy morphology of the film deposited on titanium and a higher roughness for carbazole-based oligomer. Second harmonic measurements have shown nearly equal values of the second-order nonlinear optical coefficient for the triphenylamine and carbazole-based oligomers for P_laser < 100 mW. z-Scan and x-scan representations of the carbazole-based oligomer film have shown strong two-photon fluorescence intensity inside the sample confirming a volume process, and a strong second harmonic at the surface of the sample determined by the surface morphology.     

The student distribution and the principle of maximum entropy

Summary The Student distribution is obtained by means of the principle of maximum entropy.     

On the Intersection of $$$$-Complete Open Subsets with $$\mathcal {C}^2$$C2 Boundary in $$\mathbb {C}^n$$Cn

We prove that in \(\mathbb {C}^n\), the intersection of finitely many open, relatively compact, \((n-1)\)-complete subsets with \(\mathcal {C}^2\) boundary for which every two boundaries intersect transversally, is cohomologically \((n-1)\)-complete.     

The Strong Variant of a Barbashin Theorem on Stability of Solutions for Non-autonomous Differential Equations in Banach Spaces

Among others we shall prove that an exponentially bounded evolution family U = {U(t, s)} _t≥s≥0 of bounded linear operators acting on a Banach space X is uniformly exponentially stable if and only if there exists q [1, ∞) such that

New bounds and conditions for the equation of Nagell-Ljunggren

The general case of the Nagell-Ljunggren equation is