New derivation and a k-particle generalization of SCF-type theories

A hierarchy of necessary conditions that an exact density matrix of a pure state or an ensemble has to satisfy is derived, namely the hermiticity of certain operators F^(k). For k = 1 this reduces to the well-known Hartree-Fock condition. It is then shown that the kth set of conditions is equivalent to stationarity of the energy with respect to unitary k-particle transformations. k-Particle generalizations of Hartree-Fock theory are then discussed both in the spirit of k-particle pseudoeigenvalue equations and in the framework of a Newton–Raphson-type constructive scheme.     

α,ω-Diisocyanatocarbodiimides, -Polycarbodiimides,and Their Derivatives

Research in the field of low-molecular weight, oligomeric and polymeric α,ω-diisocyanatocarbodiimides and -polycarbodiimides has been fruitful, not only in connection with these compounds themselves, but also—as so often happens in chemistry—with quite different problems. Novel synthetic methods, discoveries concerning the properties of low-molecular weight carbodiimides and phosphane imide derivatives, as well as results on the fragmentation reactions of four-membered heterocyclic compounds containing oxygen, phosphorus, and nitrogen, and a better understanding of the diisocyanate polyaddition process are among the many by-products of this research. The “high- and low-temperature formation” of polycarbodiimides and the homogeneous and heterogeneous catalysis of this process are described, and the fundamental importance of four-membered ring fragmentation mechanisms resulting in the formation of phosphane imide derivatives is outlined. Interesting building blocks for the diisocyanate polyaddition and polycondensation processes can be synthesized by many derivatization reactions of oligomeric and high-molecular weight polycarbodiimides and polyuretonimines. The in situ production of polycarbodiimides via matrix reactions in flexible polyurethane foams leads to a cellular arrangement of the material due to the pronounced symmetrical growth processes. Combination-foams with increased carbonation tendencies are formed in this way. Attention is drawn to several industrial applications of α,ω-diisocyanatopolycarbodiimides, of high-molecular weight cross-linked polyuretonimines, and of polycarbodiimide foams.     

Elastisches Verhalten von Polyvinylchlorid bei statischer und dynamischer Beanspruchung

Ohne Zusammenfassung Bearbeitet in der Physikalisch-Technischen Bundesanstalt, PTB, Braunschweig; als Dissertation von der Fakult?t für Maschinenwesen der Technischen Hochschule Carolo-Wilhelmina zu Braunschweig angenommen. Seit Beginn 1959 in der Kunststoffprüfstelle der Farbenfabriken Bayer AG, Leverkusen.     

Correlation effects on energy curves for proton transfer. The cation [H5O2]+

Potential curves for proton transfer in [H₅O₂]⁺ and for the dissociation of one OH bond in [H₃O]⁺ were calculated by both ab initio and semi-empirical LCAO MO SCF CI methods. The energy barrier of the symmetric double minimum potential in [H₅O₂]⁺ is very sensitive to electron correlation. At an OO distance of 2.74 Å it decreases from the HF value of 9.5 kcal/mole to about 7.0 kcal/mole. The results of the semi-empirical calculations agree well with the ab initio data as long as only relative effects are regarded. The partitioning of correlation energy into contributions of individual electron pairs is very similar for proton transfer in [H₅O₂]⁺ and for the dissociation of one OH bond in [H₃O]⁺. In this example the proton transfer appears as a superposition of two “contracted ionic dissociation” processes. An interpretation of the behaviour of correlation during these processes is presented.     

Farbstoffsensibilisierte Photoreaktionen von vinylogen Epoxycarbonylverbindungen

On irradiation in the presence of dye sensitizers, vinylogous epoxy carbonyl compounds undergo a novel photofragmentation reaction, to give furyl ketones in good yields. The fragmentation process is probably preceded by trans-cis isomerization of the double bond; in one case the cis-isomer could be isolated. In a side reaction epoxyenone 10 gives the cyclopentanone derivatives 13 and 14 by a [1, 2] shift of a methyl group. Similar dye sensitized photolysis of the endo-peroxide 2 also gives the corresponding furyl ketone 4 , and the corresponding vinylogous epoxyketone C is probably an intermediate in this transformation. The finding that dyes of relatively low triplet energies (～ 30 kcal/mol) efficiently sensitize these reactions, and a certain wave length dependence suggest that the usual triplet mechanism cannot be involved.     

Molekulargewichtsbestimmung durch Gelchromatographie von Oligoimidophosphorsäureamiden

Determination of Molecular Weights by Gel Chromatography of Oligoimidoamides of Phosphoric Acid. Oligoimidoamides of phosphoric acid were eluted with nonionic water on a Sephadex LH-20 column. The measured distribution coefficient of the oligoimidoamides of phosphoric acid was independent of sample concentration and pH of the eluent. Andrews equation was obeyed: a linear relation exist between elution volume and logarithm of molecular weight both cyclic and acyclic oligoimidoamides of phosphoric acid.     

Synthesen von Heterocyclen, 146. Mitt.: Zur Synthese polymerer Indigofarbstoffe mit potentiellen Halbleitereigenschaften

Zusammenfassung Die Darstellung von polymeren Indigofarbstoffen (PI) nach dem Verfahren vonZiegler undKappe ^{2, 3} wird beschrieben. Ausgehend von Benzidin (1 a) und Tolidin (1 b) erhält man so diePI 6 a bzw.6 b. In analoger Weise wird aus Tetrahydrochinoxalin (7), der N,N-überbrücktePI 12 gewonnen.

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Syntheses of heterocycles, CXLVI: The synthesis of polymeric indigos with potential semiconductor properties

The synthesis of polymeric indigos (PI) according to the procedure ofZiegler andKappe ^{2, 3} is described. Starting with benzidine (1 a) or tolidine (1 b) thePI 6 a and6 b, resp., are obtained. In a similar way the N,N-bridgedPI 12 is synthesized from tetrahydroquinoxaline (7).

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Aus den Dissertationen vonH. G. Foraita undL. F. Werner, Universität Graz, Januar bzw. Juni 1963.     

‘Lone pair’ Electronic Structure,Conformation and Oxidation Behaviour of Diaziridines

Photoelectron spectroscopic investigations indicate that (i) monocyclic diaziridines prefer a trans-conformation of the nitrogen-lone pairs, and (ii) the interaction between these is comparable to that exhibited by open-chain analogues, i.e. alkyl-substituted hydrazines. The chemical experience concerning the particular case of ? NH? NH? →? N?N? oxidation of diaziridines can therefore not be accounted for by a prevailing unfavorable ‘lone pair’ interaction. Thermochemical as well as entropy arguments may serve as an explanation. A rather unsatisfactory agreement between predictions from various theoretical procedures and experimental results for the ionization potentials of ‘lone pair’ MO electrons is noted.