Le Groupe Quantique Compact Libre U(n)

The free analogues of U(n) in Woronowicz' theory [Wo2] are the compact matrix quantum groups introduced by Wang and Van Daele. We classify here their irreducible representations. Their fusion rules turn to be related to the combinatorics of Voiculescu's circular variable. If we find an embedding , where A _o (F) is the deformation of SU(2) studied in [B2]. We use the representation theory and Powers' method for showing that the reduced algebras A _u (F) _red are simple, with at most one trace. Received: 1 March 1996 / Accepted: 4 April 1997     

Construction of multiporphyrin arrays using ruthenium and rhodium coordination to phosphines

The synthesis of linear multiporphyrin arrays with mono- and bisphosphine-substituted porphyrins as ligand donors and ruthenium(II) or rhodium(III) porphyrins as ligand acceptors is described. With appropriate amounts of the building blocks mixed, linear dimeric and trimeric arrays have been synthesized and analyzed by (1)H NMR and (31)P NMR spectroscopy. The Ru/Rh acceptor porphyrins can be located either at the periphery or in the center of the array. Likewise, the monophosphine porphyrins can be positioned at the periphery, thus allowing a high degree of freedom in the overall composition of the arrays. This way, both donor and acceptor porphyrins can act as chain extenders or terminators. One of the trimeric complexes with two nickel and one ruthenium porphyrin has also been analyzed by X-ray crystallography. Attempts have also been made to synthesize higher order arrays by mixing appropriate amounts of the porphyrins; however, from the NMR data it cannot be concluded if monodisperse five, seven, or nine porphyrin arrays are present or if the solutions are composed of a statistical mixture of smaller and larger arrays.     

On Mercury(I) Oxo Compounds — Quasi‐Relativistic Computational and Experimental Studies

About 60 molecular species composed of up to 10 mercury atoms and of oxygen atoms and/or of some other elements or groups (such as halogen, OH₂, OH, H, alkali, NO₃) have been investigated quantum chemically. Different density functional approaches and the ab initio SCF‐MP2 method were applied, comparing different basis sets and different atomic core sizes. It is important not to treat the Hg 5s, p, d as inactive core shells, and to use sufficiently many polarization functions. The shape of the 〉O‐Hg‐Hg‐O〈 units is not favorable concerning the formation of lattices composed of Hg^I, O and OH only. Despite its bulkiness, the OHgHgO units can easily come into contact with each other and then disproportionate. This is prevented in the so‐called ternary M‐Hg^I oxides by the embedded oxometallate (oxoacidic) anions. Furthermore, the Hg^I and Hg^II oxide bond energies are less favorable towards the stability of Hg^I oxo compounds, as compared to Hg halidic or oxoacidic compounds. Both points are not promising concerning the search for Hg^I oxides/hydroxides, although the preparation of such compounds, including spacer groups, by topochemical reactions can still not be excluded. So far, experimental efforts towards the synthesis of such a new class of compounds have only demonstrated that Hg^II is strictly preferred over Hg^I in the formation of solids of binary Hg‐O or ternary A‐Hg‐O composition (A = electropositive metal such as alkali, in contrast to M = transition or semi‐metal). This is so even if compounds containing ‘electron rich Hg^δ— atoms’ (i.e. A‐Hg amalgams) are oxidized under mild conditions.     

Measurement of the sign and the magnitude of heteronuclear coupling constants from spin-state-edited J-cross-polarization NMR experiments

New spin-state-selective (S3) NMR pulse sequences exclusively applying cross-polarization schemes to achieve optimum homonuclear and heteronuclear 1H-X coherence transfer are reported for the simple and accurate measurement of the magnitude and sign of heteronuclear coupling constants for samples at natural abundance. The proposed spin-edited HCP-TOCSY experiments are based on clean heteronuclear S3 excitation, generated by simultaneous co-addition of two independent in-phase and anti-phase components created during the mixing heteronuclear J-cross-polarization (HCP) step, which is finally transferred to other protons by a conventional homonuclear TOCSY mechanism. Selective 1D and non-selective 2D approaches for the easy determination of long-range proton-carbon and proton-nitrogen coupling constants on any protonated and non-protonated heteronuclei are presented and discussed for several organic molecules.     

Formation and dissociation of the chloroethylene anions

Electron attachment spectroscopy is employed to study the formation of negative ions from the chloroethylenes. It is found that the resonances recently observed in the total electron scattering cross section are predominantly associated with the formation of Cl^?. Only in tetrachloroethylene is a long-lived parent negative ion observed.     

Eine neue Mikro- und Ultramikro-Bestimmung von Sauerstoff in organischen Verbindungen mit Hilfe eines W?rmeleitf?higkeitsdetektors

Zusammenfassung Zur Bestimmung des Sauerstoffs wird die organische Probe in Helium-Atmosphäre gecrackt; die sauerstoffhaltigen Crackprodukte werden über Kohle zu Kohlenmonoxid konvertiert. Um das Kohlenmonoxid von den übrigen Crackprodukten, wie H₂, N₂ und CH₄ abzutrennen, wird es zu Kohlendioxid oxydiert und danach an einem Molekularsieb bei 20° C durch Adsorption zurückgehalten; H₂, N₂ und CH₄ werden aus der Apparatur gespült. Sobald in der Probeleitung reines Spülgas auftritt, wird das adsorbierte Kohlendioxid durch Erhitzen desorbiert und im Detektor gemessen.

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Summary For the determination of oxygen the organic sample is cracked in helium atmosphere. Cracking products, containing oxygen, are converted to carbon monoxide by coal. For separation from the remaining cracking products (H₂, N₂, CH₄) carbon monoxide is oxidized and then adsorbed on molecular sieve 5A at 20°C; H₂, N₂ and CH₄ are flushed out. As soon as pure carrier gas flows through the sample pipe, carbon dioxide is desorbed by heating the molecular sieve and flushed to the detector.

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Es ist uns eine angenehme Pflicht, der Shell Austria AG., Wien, insbesondere Herrn Direktor Dipl.-Ing. R. Wallner, für die Gewährung eines Forschungsstipendiums an den einen von uns (E. W.) ergebenst zu danken.     

Das Kombinierte Näherungsverfahren

Zusammenfassung Anionen der ersten und neutrale Atome der zweiten Familie des Periodensystems wurden nach dem Kombinierten Näherungsverfahren (KN) mit einem Hellmann-Potential behandelt. Die Fehler in der Hartree-Fock-Energie kompensieren sich auf unter 0.1 eV, ebenso genau wird die Intrahüllenkorrelationsenergie erhalten. Auf Grund der gewonnenen Rechenergebnisse sind als wahrscheinlichste Werte der Elektronenaffinitäten der einwertigen Metalle (in eV) anzusehen: Li 0.63, Na 0.54, K 0.52, Rb 0.50, Cu 1.0.

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Hellmann's pseudopotential method

Neutral atoms of the second and negative ions of the first family of the periodic system are treated by Hellmann's pseudopotential method (Kombiniertes Näherungsverfahren, KN). The various errors inherent in this method compensate to a large degree so that the errors in the Hartree-Fock and correlation energies will be below 0.1 eV. The electron affinities of the first family atoms are calculated as 0.63 eV for Li, 0.54 for Na, 0.52 for K, 0.50 for Rb, and 1.0 for Cu.

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Résumé Des anions du premier groupe et des atoms neutres du deuxième groupe du système périodique sont traités à l'aide de la méthode Kombiniertes Näherungsverfahren (KN) avec une potential de Hellmann. Les erreurs dans l'énergie SCF se compensent au dessous 0,1 eV, de la même exactitude on obtient l'énergie de correlation de la couche de valence. D'aprés les resultats du calcul on peut accepter les valeurs suivantes comme les plus probables pour les affinités électroniques dans les metaux monovalents (en eV): Li 0,63, Na 0,54, K 0,52, Rb 0,50, Cu 1,0.

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Die Arbeit wurde auf Wunsch des Autors erst jetzt veröffentlicht.     

Design, synthesis, and binding affinities of pyrrolinone-based somatostatin mimetics

[structure: see text] Tetrapyrrolinone somatostatin (SRIF) mimetics (cf. 1), based on a heterochiral (D,L-mixed) pyrrolinone scaffold, were designed, synthesized, and evaluated for biological activity. The iterative synthetic sequence, incorporating the requisite functionalized coded and noncoded amino acid side chains, comprised a longest linear synthetic sequence of 23 steps. Binding affinities at two somatostatin receptor subtypes (hsst 4 and 5) reveal micromolar activity, demonstrating that the d,l-mixed pyrrolinone scaffold can be employed to generate functional mimetics of peptide beta-turns.