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  • Inorganic Chemistry  (46)
  • 41A21  (2)
  • Wiley-Blackwell  (46)
  • Springer  (2)
  • American Institute of Physics
  • American Institute of Physics (AIP)
  • Blackwell Publishing Ltd
  • Institute of Physics
  • Oxford University Press
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  • Wiley-Blackwell  (46)
  • Springer  (2)
  • American Institute of Physics
  • American Institute of Physics (AIP)
  • Blackwell Publishing Ltd
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Constructive approximation 5 (1989), S. 221-240 
    ISSN: 1432-0940
    Keywords: 30E10 ; 41A20 ; 41A21 ; 41A50 ; Padé approximants ; Generalized Padé approximants ; Rational interpolants ; Best rational approximants ; Convergence in capacity ; Gonchar's conjecture
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Letf be an analytic function with all its singularities in a compact set $$E_f \subset \bar C$$ of (logarithmic) capacity zero. The function may have branch points. The convergence of generalized (multipoint) Padé approximants to this type of function is investigated. For appropriately selected schemes of interpolation points, it is shown that close-to-diagonal sequences of generalized Padé approximants converge in capacity tof in a certain domain that can be characterized by the property of the minimal condenser capacity. Using a pole elimination procedure, another set of rational approximants tof is derived from the considered generalized Padé approximants. These new approximants converge uniformly on a given continuum $$V \subset \bar C\backslash E_f$$ with a rate of convergence that has been conjectured to be best possible. The continuumV is assumed not to divide the complex plane.
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Constructive approximation 1 (1985), S. 249-270 
    ISSN: 1432-0940
    Keywords: 41A21 ; 31B15 ; Padé approximants ; Orthogonal polynomials ; Complex-valued measures ; Radon-Nikodym derivative
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we prove the existence of real- and complex-valued measuresμ on the interval [−1,1] with the property that the diagonal Padé approximants [n/n],n=1,2,..., to the functionf(z)=∫dμ(x)/(x−z) neither converge at any fixed pointz∈C∼[−1,1] nor converge in capacity on any open (nonempty) setS inC∼[−1,1]. This result is derived from a theorem on the asymptotic behavior of orthogonal polynomials. It will be shown that it is possible to construct measuresμ. on [−1,1] such that for any arbitrarily prescribed asymptotic behavior there exist subsequences of the associated orthogonal polynomialsQ n that have this behavior.
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  • 3
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 93 (1960), S. 2065-2074 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Durch Umsetzung des Systems WCl6/AlCl3/Al/C6H6 im Bombenrohr und alkalisch hydrolytische Aufarbeitung bei tiefen Temperaturen wurde in organischen Medien lösliches, grünes, unter starken Verlusten bei 60° i. Hochvak. sublimierbares Di-benzol-wolfram(0), W(C6H6)2, in geringer Ausbeute erhalten. Der diamagnetische, dipollose Durchdringungskomplex weist Doppelkegelstruktur auf und läßt sich mit J2 zu orangegelbem, paramagnetischem [W(C6H6)2]⊕-Kation umsetzen. Mo(C6H6)2, für welches eine verbesserte Darstellung angegeben wird, ergibt ganz entsprechendes [Mo(C6H6)2]⊕. Beide Kationen disproportionieren in alkalischem Medium nach: .
    Additional Material: 4 Ill.
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  • 4
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 110 (1977), S. 2398-2400 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 5
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 99 (1966), S. 3721-3727 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Aus dem Verhältnis der Intensitäten der IR-aktiven CO- und NO-Valenzschwingungen läßt sich der Bindungswinkel zwischen äquivalenten CO- und NO-Gruppen ermitteln. Für eine Reihe von Metallcarbonyl- und -nitrosyl-Verbindungen stimmen die nach dieser Methode erhaltenen Winkel gut mit den erwarteten bzw. aus Röntgenstrukturuntersuchungen bekannten Werten überein.
    Additional Material: 4 Tab.
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  • 6
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 113 (1980), S. 800-805 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 2,2-Disubstituted 1,3-Dithianes from β-Dicarbonyl Compounds1,3-Dicarbonyl compounds 2 can be condensed with 1,3-propanedithiol (1) to yield 2,2-disubstituted 1,3-dithianes 3 which are remarkably stable in contrast to analogous open-chain thioacetals 6. Compounds with alkoxycarbonyl functions are easily hydrolysed to the corresponding carboxylic acids 11 which by further esterification with alkanols 12 yield estermodified 1,3-dithianes 3. All new compounds are characterized by 13C NMR spectroscopy.
    Additional Material: 3 Tab.
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  • 7
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 118 (1985), S. 1798-1808 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: 1,3-Dithienium- and 1,3-Dithiolenium Salts, II. Synthesis of Monocyclothioacetalized 1,3-Diketones from Silyl Enol EthersThe 1,3-dithienium and 1,3-dithiolenium salts 3, available from the dithiols 1 or the cyclic thioacetals 4 (n = 2, 3) by reaction with the acyl chlorides 2, trityl tetrafluoroborate (5), and sulfuryl chloride (7), react in good yields with the silyl enol ethers 10 to give the new monocyclothioacetalized 1,3-Diketones 11. The synthetic of 11 as partially protected 1,3-Diketones is demonstrated exemplarily by dethioacetalization to the 1,3-dicarbonyl compounds 13.
    Notes: Die aus den Dithiolen 1 oder den cyclischen Thioacetalen 4 (n = 2, 3) durch Umsetzung mit den Acylchloriden 2, Trityl-tetrafluoroborat (5) und Sulfurylchlorid (7) erhältlichen 1,3-Dithienium-bzw. 1,3-Dithioleniumsalze 3 reagieren in guten Ausbeuten mit den Silylenolethern 10 zu den neuen monocyclothioacetalisierten 1,3-Diketonen 11. Das synthetische Potential von 11 als partiell geschützten 1,3-Diketonen wird exemplarisch durch Dethioacetalisierung zu den 1,3-Dicarbonylverbindungen 13 demonstriert.
    Additional Material: 2 Tab.
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  • 8
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 120 (1987), S. 135-139 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: The 1,3-dithienium- and 1,3-dithiolenium tetrafluoroborates 3 (n=3, 2), respectively, react in good yields with the N,N-dialkylarylamines 4 to give the 2,2-disubstituted cyclic dithio acetals 5, which can be converted after dethioacetalization with HgCl2/HgO into the ketones 7.
    Notes: Die 1,3-Dithienium- bzw. 1,3-Dithiolenium-tetrafluoroborate 3 (n=3, 2) reagieren in guten Ausbeuten mit den N,N-Dialkylarylaminen 4 zu den 2,2-disubstituierten cyclischen Dithioacetalen 5, die sich nach Dethioacetalisierung mit HgCl2/HgO in die Ketone 7 überführen lassen.
    Additional Material: 2 Tab.
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  • 9
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 121 (1988), S. 617-620 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: 1,3-Dithienium and 1,3-Dithiolenium Salts, VII.  -  Synthesis of 1,3-Dithian-2-ylium TribromidesThe 2-substituted 1,3-dithianes 1 react in good yields with bromine in diethyl ether to give the 2-substituted 1,3-dithian-2-ylium tribromides 3.
    Notes: Die 2-substituierten 1,3-Dithiane 1 reagieren in guten Ausbeuten mit Brom in Diethylether zu den 2-substituierten 1,3-Dithian-2-ylium-tribromiden 3.
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  • 10
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 124 (1991), S. 707-712 
    ISSN: 0009-2940
    Keywords: Osmium mesitylene complexes ; Os - R bonds, formation of ; Osmium aryl hydrido compounds ; Cyclohexene, generation from C6H11MgX ; Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Reaction of [(Mes)Os(CO)Cl2] (3) with PhLi in benzene gives the diphenylosmium compound [(Mes)OsPh2(CO)] (6) whereas with PhMgBr [(Mes)OsPh(CO)Br] (7) is obtained. Treatment of 3 with TolMgBr in benzene or ether affords almost exclusively the monoaryl complex [(Mes)OsTol(CO)Br] (8). Compound 3 reacts with C6H11MgCl to give both [(Mes)Os(C6H11)2(CO)] (9) and [(Mes)Os(C6H10)(CO)] (10) in 60 and 30% yield, respectively. With C6H11MgBr, complex 10 is mainly obtained. Reaction of 7 and 8 with Na/Hg in THF/EtOH gives nearly quantitatively the arylhydridoosmium complexes [(Mes)Os-C6H4R(CO)H] (14, 15). The analogous hydrido methyl compound [(Mes)OsCH3(CO)H] (13) reacts with CCl4 to produce [(Mes)OsCH3(CO)Cl] (17), which is not accessible from 3 and LiCH3 or CH3MgX. The X-ray structure analysis of 10 reveals that the cyclohexene is coordinated in the endo configuration.
    Additional Material: 1 Ill.
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