The generation and classification of tile-k-transitive tilings of the Euclidean plane,the sphere and the hyperbolic plane

Algorithms based on the theory of Delaney-Dress symbols are discussed that can be used to recursively produce all possible equivariant types of tile-k-transitive tilings of the Euclidean plane, the sphere and the hyperbolic plane, for any (reasonable)k. A number of results can be obtained using computer implementations of the algorithms.     

Effect of particle geometry on phase transitions in two-dimensional liquid crystals

Using a version of density-functional theory which combines Onsager approximation and fundamental-measure theory for spatially nonuniform phases, we have studied the phase diagram of freely rotating hard rectangles and hard discorectangles. We find profound differences in the phase behavior of these models, which can be attributed to their different packing properties. Interestingly, bimodal orientational distribution functions are found in the nematic phase of hard rectangles, which cause a certain degree of biaxial order, albeit metastable with respect to spatially ordered phases. This feature is absent in discorectangles, which always show unimodal behavior. This result may be relevant in the light of recent experimental results which have confirmed the existence of biaxial phases. We expect that some perturbation of the particle shapes (either a certain degree of polydispersity or even bimodal dispersity in the aspect ratios) may actually destabilize spatially ordered phases thereby stabilizing the biaxial phase.     

Chronocoulometry of tris-2,2′-bipyridine cobalt(II) and related transition metal complexes

Integrated pulse polarography and similar techniques have been used for study of reduction of bipyridine complexes of Co(II), Ni(II) and partially also Fe(II) in aqueous solutions. By proper choice of pulse and detection intervals, it is possible to confirm or separate the contribution of reactant adsorption. The pulse polarography of the product reoxidation shows a finite charge transfer rate in the case of tris-2,2′-bipyridine cobalt complex.     

Neurotrope und psychotrope Substanzen, 5. Mitt.: Synthese neuer Aminoderivate von 10,11-Dihydrodibenzo-[a,d]cyclohepten und 10,11-Dihydrodibenzo[b,f]thiepin

Zusammenfassung Im Rahmen der Suche nach neuen neurotropen und psychotropen Substanzen, besonders nach antidepressiv wirkenden Psychopharmaka, wurde eine systematische präparative Arbeit in den Gruppen der 10-substituierten Derivate des 10,11-Dihydrodibenzo[a,d]cycloheptens (I) und des 10,11-Dihydrodibenzo[b,f]-thiepins (II) unternommen. Im ersten Fall war die Ausgangssubstanz das Keton XIV, das mit üblichen Methoden zum basischen Äther XVI, zu Aminen und Derivaten XVIII–XXII und schließlich in dieMannich-Base XXVI übergeführt wurde. DieBeckmannsche Umlagerung des Oxims XVII eröffnete den Weg zu Derivaten eines neuen Systems, des 5,6,7,12-Tetrahydrodibenz[b,e]azocins (Verbindungen XXVIII, XXX und XXXI). Auch im zweiten Fall bildete das entsprechende Keton (XXXVIII) die Schlüsselsubstanz, die einerseits zu Aminen mit der Aminogruppe in der Seitenkette (XXXIX, XL, XLII, LV, LVI), anderseits zu Aminen mit der direkt am Skelett haftenden Aminogruppe (XLIV–LIII) umgesetzt wurde. Außer den angeführten Aminen wurde in allen drei Gruppen eine Reihe von neutralen Verbindungen hergestellt (Zwischenprodukte und Nebenprodukte), deren Struktur meistens mit Hilfe der Spektren geklärt wurde. Die vorläufigen Ergebnisse der pharmakologischen Prüfung einiger Produkte deuten interessante Wirksamkeit an, besonders vom Standpunkt der erwarteten neurotropen und psychotropen Eigenschaften aus.

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In the effort to find new neurotropic and psychotropic substances a systematic chemical study was undertaken in the groups of the 10-substituted derivatives of 10,11-dihydrodibenzo[a,d]-cycloheptene (I) and 10,11-dihydrodibenzo[b,f]thiepine (II). In the first case the ketone XIV was transformed by usual methods into the basic ether XVI, to the amines and derivatives XVIII–XXII, and to theMannich base XXVI. TheBeckmann rearrangement of the oxime XVII opened the way to derivatives of a new system — 5,6,7,12-tetrahydrodibenz[b,e]azocine (compounds XXVIII, XXX and XXXI). In the second case (derivatives of II) the syntheses started from the ketone XXXVIII and two series of amines were prepared: with the amino group in the side chain (XXXIX, XL, XLII, LV, LVI) and with the amino group attached directly to the skeleton (XLIV–LIII). In addition to the amines several neutral compounds in either group were synthesized (intermediates and byproducts), the structure of which was elucidated mainly by means of the spectra. Preliminary results of the pharmacological testing show a rather important degree of activity of some substances, especially in the line of the expected neurotropic and psychotropic properties.

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mit technischer Hilfe von

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Herrn Professor Dr.Hermann Bretschneider zum 60. Geburtstag gewidmet

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4. Mitt.:J. O. Jílek, K. Pelz, D. Pavlíková undM. Protiva, Coll. Czechoslov. Chem. Commun.30, im Druck (1965).     

Mineral speciation of copper and zinc in flying ash from a thermal power plant

Summary We studied the mineral speciation of Cu, Zn and Hg in fly ash from a large thermal plant burning lignite. By applying various treatments carried out under different conditions and taking into account the solubility and physical properties (boiling and melting point, etc.) and the behaviour towards combustion of the different possible compounds, we concluded that the ash assayed contained 109.6, 114.4 and 14.30 g/g of zinc silicate, zinc oxide and/or zinc sulphide and metal zinc, respectively, as well as 24.5 g/g of copper silicate and 31.2 g/g of a mixture of copper oxide, sulphide and metal. The formation of these compounds in the combustion of lignite is discussed.     

Atomic beam scattering from single crystal surfaces

Application of atom-scattering to a variety of surface problems is expanding rapidly, owing in large part to the extreme surface- sensitivity of this probe. Helium is particularly useful because of its low mass and chemical inertness. Beams with velocity spreads of less than one percent and wavelength of the order of one Angstrom can be formed by nozzle expansion.

The scattered flux from a clean, well-ordered crystal surface contains elastic and inelastic, coherent and incoherent, components. The coherent elastic component (i.e., the specular and diffracted beams) contains information about the crystallographic structure of the outer- most atomic layer of the crystal and about the interaction potential between the crystal and the scattered particle. The latter manifests itself in the form of resonances between the incoming free-particle state, and the two-dimensional Bloch states bound in the potential well at the surface. Elastic scattering theory has reached the point where the resonance signatures in the various diffracted beams can be predicted accurately.

Crystallographic information resides in the diffracted beam intensities. Theoretical interpretation is less well advanced, though some progress has been made with “hard-wall” models. Experimental studies of reconstructed surfaces and chemisorbed overlayers appear very promising.

In inelastic scattering, energy resolution has been achieved by both time-of-flight and diffraction methods. High-resolution studies on alkali halide surfaces have led to experimental determination of Rayleighwave dispersion relations over the full Brillouin zone. Preliminary results have also been obtained on some metals.