Singular cohomology inL

We prove, that in the world of constructible sets, there does not exist a spaceX withH″ (X,Z) isomorphic to the rational numbers. The proof requires a result about the growth of Ext _z ^Emphasis>/i (-, Z) inside of Gödel’s constructible universeL.     

Reaktionen cyclischer Oxalylverbindungen, 34. Mitt.: Synthese von Dibenzoylacet-N-carboxyalkylamiden und semiempirische Rechnungen zur Keto-Enol Tautomerie

Summary 4-Benzoyl-5-phenylfuran-2,3-dione (1) and the urethanes2 combine under loss of carbon monoxide yielding the open chain dibenzoylacetic acid derivatives3 and4. 3a, b only can be cyclized to the oxazinone5. The keto-enole tautomerism3 4 is further investigated with aid of semiempirical quantum chemical calculations, based upon the molecular geometry of3a, deduced from an X-ray study.

Frau Univ. Prof. Dr. Helga Wittmann mit den besten Wünschen zum 70. Geburtstag gewidmet.     

Zusammenhang zwischen L?slichkeit und Kapazit?tsfaktor bei der reverse-phase-bonded-phase-Chromatographie von Alkylbenzolen, Alkylbromiden und Alkyldisulfiden

Zusammenfassung Alkyldisulfide, Alkylbenzole und Alkylbromide wurden an einer chemisch gebundenen Kohlenwasserstoffphase (MicroPak-CH) mit Wasser-Methanol-Gemischen unterschiedlicher Zusammensetzung chromatographiert. In den entsprechenden Lösungsmittelgemischen wurden die SÄttigungslöslichkeiten der Probenkomponenten bestimmt. Man fand, da\ die SelektivitÄt innerhalb einer homologen Reihe durch die Löslichkeit der Glieder in der mobilen Phase bestimmt ist. Dabei lie\ sich der chromatographische KapazitÄtsfaktor mit guter Genauigkeit als k = b · (1/c_sat)^2/3 darstellen. log k und log c _sat hÄngen linear von der C-Zahl ab.

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Relation between solubility and capacity factor in the reverse-phase-bonded-phase chromatography of alkylbenzenes, alkylbromides and alkyldisulphides

Alkyldisulphides, alkylbenzenes and alkylbromides were chromatographed on a hydrocarbon type bonded stationary phase (MicroPak-CH) using water-methanol-mixtures of various composition as mobile phase. The solubility of the sample components was determined in the respective mobile phases. It was found that the selectivity within a homologous series is determined by the solubility in the mobile phase. The capacity factor can be expressed as k = b · (1/c_sat)^2/3. Log k and log c _sat depend linearly on the carbon number.

     

Chemistry of ethyleneimine

The mechanism of the reaction of N-aminoethyleneimine with some aliphatic aldehydes and with acrolein have been studied. It has been shown that the reaction takes place at the carbonyl bond C=O with the formation of hydrazones.For part II, see [1].     

Infrared spectroscopic characterization of the buried interface and surfaces of bonded silicon wafers

Basic investigations have been carried out on the characterization of different processing steps in bond preparation using etched <111> faces of silicon wafers for the incidence of the infrared beam to a multiple internal reflection geometry. The method is very sensitive to the surface coverage and interface. Surface activation by RCA cleaning yields an increase of water coverage and a decrease of SiH and CH groups. The detection limit for an oxide layer between silicon wafers has been found to be about 3 nm. Received: 18 July 1997 / Revised: 15 August 1997 / Accepted: 19 August 1997     

Syntheses in the methyl-2-furylketone series

5-Nitro-2-furylglyoxylic acid is prepared from 5-nitro-2-furacylpyridinium bromide via 4-dimethylaminophenylirnino (5-nitro-2-furoyl) acetonitrile, and also by the action of N -bromosuccinimide on 5-nitro-2-furylglyoxal. The following derivatives are prepared: semicarbazone, thiosemicarbazone, guanylhydrazonef 2, 4-dinitrophenylhydrazone, 4-dimethylaminoanilide and 3- (5-nitro-2-furyl) quinoxalin-2-ol.For Part IX see [1].     

Buchbesprechungen

Ohne Zusammenfassung     

Pyracene‐Linked Bis‐Imidazolylidene Complexes of Palladium and Some Catalytic Benefits Produced by Bimetallic Catalysts

Two new palladium complexes with a pyracene‐linked bis‐imidazolylidene (pyrabim) group have been obtained and fully characterized. The related monometallic analogues were obtained from the coordination of an acetanaphthene‐supported N‐heterocyclic carbene (NHC). The catalytic properties of all complexes were studied in the acylation of aryl halides with hydrocinnamaldehyde, and in the Suzuki–Miyaura coupling of aryl halides and aryl boronic acids. The results show that the presence of a second metal in the dimetallic complexes induces some benefits in the catalytic behavior of the complexes. This effect is more pronounced in the Suzuki–Miyaura coupling, for which the dimetallic complexes exhibit significantly higher activity than their monometallic counterparts.     

Different rotamer states of cytosine nucleobases in heteronuclear PtPd-, PtPd2, and Pt2Pd2Ag complexes derived from [Pt(2,2'-bpy)(1-MeC-N3)2]2+ (1-MeC = 1-methylcytosine): first examples of species with head-head oriented 1-MeC(-) ligands

[Pt(2,2'-bpy)(1-MeC-N3)(2)](NO(3))(2) (1) (2,2'-bpy = 2,2'-bipyridine; 1-MeC = 1-methylcytosine) exists in water in an equilibrium of head-tail and head-head rotamers, with the former exceeding the latter by a factor of ca. 20 at room temperature. Nevertheless, 1 reacts with (en)Pd(II) (en = ethylenediamine) to give preferentially the dinuclear complex [Pt(2,2'-bpy)(1-MeC(-)-N3,N4)(2)Pd(en)](NO(3))(2)·5H(2)O (2) with head-head arranged 1-methylctosinato (1-MeC(-)) ligands and Pd being coordinated to two exocyclic N4H(-) positions. Addition of AgNO(3) to a solution of 2 leads to formation of a pentanuclear chain compound [{Pt(2,2'-bpy)(1-MeC(-))(2)Pd(en)}(2)Ag](NO(3))(5)·14H(2)O (5) in which Ag(+) cross-links two cations of 2 via the four available O2 sites of the 1-MeC(-) ligands. 2 and 5 appear to be the first X-ray structurally characterized examples of di- and multinuclear complexes derived from a Pt(II) species with two cis-positioned cytosinato ligands adopting a head-head arrangement. (tmeda)Pd(II) (tmeda = N,N,N',N'-tetramethylethylenediamine) and (2,2'-bpy)Pd(II) behave differently toward 1 in that in their derivatives the head-tail orientation of the 1-MeC(-) nucleobases is retained. In [Pt(2,2'-bpy)(1-MeC(-))(2){Pd(2,2'-bpy)}(2)](NO(3))(4)·10H(2)O (4), both (2,2'-bpy)Pd(II) entities are pairwise bonded to N4H(-) and O2 sites of the two 1-MeC(-) rings, whereas in [Pt(2,2'-bpy)(1-MeC(-))(2){Pd(tmeda)}(2)(NO(3))](NO(3))(3)·5H(2)O (3) only one of the two (tmeda)Pd(II) units is chelated to N4H(-) and O2. The second (tmeda)Pd(II) is monofunctionally attached to a single N4H(-) site. On the basis of these established binding patterns, ways to the formation of mixed Pt/Pd complexes and possible intermediates are proposed. The methylene protons of the en ligand in 2 are special in that they display two multiplets separated by 0.64 ppm in the (1)H NMR spectrum.     

Molecular Cage Assembly by Sn−O−Sn Bridging of Di-, Tri- and Tetranuclear Organotin Tectons: Extending the Spacing in Double Ladder Structures

Hydrolysis reactions of di- and trinuclear organotin halides yielded large novel cage compounds containing Sn−O−Sn bridges. The molecular structures of two octanuclear tetraorganodistannoxanes showing double-ladder motifs, viz., [{Me₃SiCH₂(Cl)SnCH₂YCH₂Sn(OH)CH₂SiMe₃}₂(μ-O)₂]₂ [ 1 , Y=p-(Me)₂SiC₆H₄-C₆H₄Si(Me)₂] and [{Me₃SiCH₂(I)SnCH₂YCH₂Sn(OH)CH₂SiMe₃}₂(μ-O)₂]₂ ⋅ 0.48 I₂ [ 2⋅ 0.48 I₂, Y=p-(Me)₂SiC₆H₄-C₆H₄Si(Me)₂], and the hexanuclear cage-compound 1,3,6-C₆H₃(p-C₆H₄Si(Me)₂CH₂Sn(R)₂OSn(R)₂CH₂Si(Me)₂C₆H₄-p)₃C₆H₃-1,3,6 ( 3 , R=CH₂SiMe₃) are reported. Of these, the co-crystal 2⋅ 0.48 I₂ exhibits the largest spacing of 16.7 Å reported to date for distannoxane-based double ladders. DFT calculations for the hexanuclear cage and a related octanuclear congener accompany the experimental work.