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  • 2010-2014
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  • 1
    Publication Date: 2020-08-05
    Description: Das heutige Leben ist durchdrungen von komplexen Technologien. Ohne Kommunikationsnetze, Internet, Mobilfunk, Logistik, Verkehrstechnik, medizinische Apparate, etc. könnte die moderne Gesellschaft nicht funktionieren. Fast alle dieser Technologien haben einen hohen Mathematikanteil. Der "normale Bürger"' weiss davon nichts, der Schulunterricht könnte dem ein wenig abhelfen. Einige mathematische Aspekte dieser Technologien sind einfach und sogar spielerisch intuitiv zugänglich. Solche Anwendungen, die zusätzlich noch der Lebensumwelt der Schüler zugehören, können dazu genutzt werden, die mathematische Modellierung, also die mathematische Herangehensweise an die Lösung praktischer Fragen, anschaulich zu erläutern. Gerade in der diskreten Mathematik können hier, quasi "nebenbei" mathematische Theorien erarbeitet und Teilaspekte (Definitionen, Fragestellungen, einfache Sachverhalte) durch eigenständiges Entdecken der Schüler entwickelt werden. Wir beginnen mit einigen Beispielen.
    Keywords: ddc:510
    Language: German
    Type: reportzib , doc-type:preprint
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  • 2
    facet.materialart.
    Unknown
    Publication Date: 2020-08-05
    Description: Den kürzesten Weg in einem Graphen zu finden ist ein klassisches Problem der Graphentheorie. Über einen Vortrag zu diesem Thema beim Tag der Mathematik 2007 von R. Borndörfer kam ich in Kontakt mit dem Konrad-Zuse-Zentrum (ZIB), das sich u.a. mit Wegeoptimierung beschäftigt. Ein Forschungsschwerpunkt dort ist im Rahmen eines Projekts zur Chipverifikation das Zählen von Lösungen, das, wie wir sehen werden, eng mit dem Zählen von Wegen zusammenhängt. Anhand von zwei Fragen aus der Graphentheorie soll diese Facharbeit unterschiedliche Lösungsmethoden untersuchen. Wie bestimmt man den kürzesten Weg zwischen zwei Knoten in einem Graphen und wie findet man alle möglichen Wege? Nach einer Einführung in die Graphentheorie und einer Konkretisierung der Probleme wird zunächst für beide eine Lösung mit auf Graphen basierenden Algorithmen vorgestellt. Während der Algorithmus von Dijkstra sehr bekannt ist, habe ich für das Zählen von Wegen einen eigenen Algorithmus auf der Basis der Tiefensuche entwickelt. Im zweiten Teil der Arbeit wird das Konzept der ganzzahligen Programmierung vorgestellt und die Lösungsmöglichkeiten für Wegeprobleme, die sich darüber ergeben. Schließlich wurden die vorgestellten Algorithmen am Beispiel des S- und U-Bahnnetzes von Berlin implementiert und mit Programmen, die die gleichen Fragen über ganzzahlige Programmierung lösen, verglichen.
    Keywords: ddc:510
    Language: German
    Type: reportzib , doc-type:preprint
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  • 3
    Publication Date: 2016-06-09
    Description: This paper is intended to be a first step towards the continuous dependence of dynamical contact problems on the initial data as well as the uniqueness of a solution. Moreover, it provides the basis for a proof of the convergence of popular time integration schemes as the Newmark method. We study a frictionless dynamical contact problem between both linearly elastic and viscoelastic bodies which is formulated via the Signorini contact conditions. For viscoelastic materials fulfilling the Kelvin-Voigt constitutive law, we find a characterization of the class of problems which satisfy a perturbation result in a non-trivial mix of norms in function space. This characterization is given in the form of a stability condition on the contact stresses at the contact boundaries. Furthermore, we present perturbation results for two well-established approximations of the classical Signorini condition: The Signorini condition formulated in velocities and the model of normal compliance, both satisfying even a sharper version of our stability condition.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 4
    Publication Date: 2020-08-05
    Description: Most data networks nowadays use shortest path protocols to route the traffic. Given administrative routing lengths for the links of the network, all data packets are sent along shortest paths with respect to these lengths from their source to their destination. In this paper, we present an integer programming algorithm for the minimum congestion unsplittable shortest path routing problem, which arises in the operational planning of such networks. Given a capacitated directed graph and a set of communication demands, the goal is to find routing lengths that define a unique shortest path for each demand and minimize the maximum congestion over all links in the resulting routing. We illustrate the general decomposition approach our algorithm is based on, present the integer and linear programming models used to solve the master and the client problem, and discuss the most important implementational aspects. Finally, we report computational results for various benchmark problems, which demonstrate the efficiency of our algorithm.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 5
    Publication Date: 2020-12-15
    Description: This paper introduces the "line connectivity problem", a generalization of the Steiner tree problem and a special case of the line planning problem. We study its complexity and give an IP formulation in terms of an exponential number of constraints associated with "line cut constraints". These inequalities can be separated in polynomial time. We also generalize the Steiner partition inequalities.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 6
    Publication Date: 2020-08-05
    Description: Testing is the process of stimulating a system with inputs in order to reveal hidden parts of the system state. In the case of non-deterministic systems, the difficulty arises that an input pattern can generate several possible outcomes. Some of these outcomes allow to distinguish between different hypotheses about the system state, while others do~not. In this paper, we present a novel approach to find, for non-deterministic systems modeled as constraints over variables, tests that allow to distinguish among the hypotheses as good as possible. The idea is to assess the quality of a test by determining the ratio of distinguishing (good) and not distinguishing (bad) outcomes. This measure refines previous notions proposed in the literature on model-based testing and can be computed using model counting techniques. We propose and analyze a greedy-type algorithm to solve this test optimization problem, using existing model counters as a building block. We give preliminary experimental results of our method, and discuss possible improvements.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 7
    Publication Date: 2021-08-05
    Description: Starting with the description of the Traveling Salesmen Problem formulation as given by van Vyve and Wolsey in the article Approximate extended formulations'', we investigate the effects of small variations onto the performance of contemporary mixed integer programming solvers. We will show that even minor changes in the formulation of the model can result in performance difference of more than a factor of 1000. As the results show it is not obvious which changes will result in performance improvements and which not.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 8
    Publication Date: 2022-03-14
    Description: Orbitopes can be used to handle symmetries which arise in integer programming formulations with an inherent assignment structure. We investigate the detection of symmetries appearing in this approach. We show that detecting so-called orbitopal symmetries is graph-isomorphism hard in general, but can be performed in linear time if the assignment structure is known.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 9
    Publication Date: 2020-08-05
    Description: We consider an auction of slots to run trains through a railway network. In contrast to the classical setting for combinatorial auctions, there is not only competition for slots, but slots can mutually exclude each other, such that general conflict constraints on bids arise. This turns the winner determination problem associated with such an auction into a complex combinatorial optimization problem. It also raises a number of auction design questions, in particular, on incentive compatibilty. We propose a single-shot second price auction for railway slots, the Vickrey Track Auction (VTA). We show that this auction is incentive compatible, i.e., rational bidders are always motivated to bid their true valuation, and that it produces efficient allocations, even in the presence of constraints on allocations. These properties are, however, lost when rules on the submission of bids such as, e.g., lowest bids, are imposed. Our results carry over to generalized" Vickrey auctions with combinatorial constraints.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 10
    Publication Date: 2020-08-05
    Description: Technical restrictions and challenging details let railway traffic become one of the most complex transportation systems. Routing trains in a conflict-free way through a track network is one of the basic scheduling problems for any railway company. This article focuses on a robust extension of this problem, also known as train timetabling problem (TTP), which consists in finding a schedule, a conflict free set of train routes, of maximum value for a given railway network. However, timetables are not only required to be profitable. Railway companies are also interested in reliable and robust solutions. Intuitively, we expect a more robust track allocation to be one where disruptions arising from delays are less likely to be propagated causing delays of subsequent trains. This trade-off between an efficient use of railway infrastructure and the prospects of recovery leads us to a bi-criteria optimization approach. On the one hand we want to maximize the profit of a schedule, that is more or less to maximize the number of feasible routed trains. On the other hand if two trains are scheduled as tight as possible after each other it is clear that a delay of the first one always affects the subsequent train. We present extensions of the integer programming formulation in [BorndoerferSchlechte2007] for solving (TTP). These models can incorporate both aspects, because of the additional track configuration variables. We discuss how these variables can directly be used to measure a certain type of robustness of a timetable. For these models which can be solved by column generation techniques, we propose so-called scalarization techniques, see [Ehrgott2005], to determine efficient solutions. Here, an efficient solution is one which does not allow any improvement in profit and robustness at the same time. We prove that the LP-relaxation of the (TTP) including an additional $\epsilon$-constraint remains solvable in polynomial time. Finally, we present some preliminary results on macroscopic real-world data of a part of the German long distance railway network.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/pdf
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  • 11
    Publication Date: 2020-12-11
    Description: The Cooperative Library Network Berlin-Brandenburg (KOBV), Germany, addresses the problem of how to integrate resources found outside the library and library holdings into a single discovery tool. It presents a solution that uses open source technology to develop a next-generation catalog interface called the Library Search Engine. This pilot project was launched in 2007 with the library of Albert Einstein Science Park, Potsdam. The idea was to design and develop a fast and convenient search tool, integrating local holdings (books, journals, journal articles) as well as relevant scientific subject information such as open access publications and bibliographies.
    Keywords: ddc:020
    Language: English
    Type: reportzib , doc-type:preprint
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  • 12
    Publication Date: 2019-01-29
    Description: Regional hyperthermia is a cancer therapy aiming at heating tumors using phased array applicators. This article provides an overview over current mathematical challenges of delivering individually optimal treatments. The focus is on therapy planning and identification of technical as well as physiological quantities from MR thermometry measurements.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 13
    Publication Date: 2019-05-10
    Description: Reasons for the failure of adaptive methods to deliver improved efficiency when integrating monodomain models for myocardiac excitation are discussed. Two closely related techniques for reducing the computational complexity of linearly implicit integrators, deliberate sparsing and splitting, are investigated with respect to their impact on computing time and accuracy.
    Keywords: ddc:510
    Language: English
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  • 14
    facet.materialart.
    Unknown
    Publication Date: 2020-08-05
    Description: We investigate the computation of periodic timetables for public transport by mixed integer programming. After introducing the problem, we describe two mathematical models for periodic timetabling, the PERIODIC EVENT SCHEDULING PROBLEM (PESP) and the QUADRATIC SEMI-ASSIGNMENT PROBLEM. Specifically, we give an overview of existing integer programming (IP) formulations for both models. An important contribution of our work are new IP formulations for the PESP based on time discretization. We provide an analytical comparison of these formulations and describe different techniques that allow a more efficient solution by mixed integer programming. In a preliminary computational study, on the basis of standard IP solvers, we compare different formulations for computing periodic timetables. Our results justify a further investigation of the time discretization approach. Typically the timetable is optimized for the current traffic situation. The main difficulty with this approach is that after introducing the new timetable the passengers’ travel behavior may differ from that assumed for the computation. Motivated by this problem, we examine an iterative timetabling procedure that is a combination of timetable computation and passenger routing. We discuss the algorithmic issues of the passenger routing and study properties of the computed timetables. Finally, we confirm our theoretical results on the basis of an own implementation.
    Description: Wir untersuchen die Berechnung von Taktfahrplänen für den öffentlichen Verkehr mit gemischt-ganzzahliger Programmierung (MIP). Im Anschluss an die Problembeschreibung, stellen wir zwei mathematische Modellierungen vor, das PERIODIC EVENT SCHEDULING PROBLEM (PESP) und das QUADRATIC SEMI-ASSIGNMENT PROBLEM. Wichtiger Bestandteil ist ein Überblick über existierende ganzzahlige Formulierungen beider Modelle. Wir entwickeln neue ganzzahlige Formulierungen für das PESP auf der Basis von Zeitdiskretisierung. Diese werden analytisch miteinander verglichen und wir beschreiben verschiedene Techniken, die eine effizientere Lösung der Formulierungen mit gemischt-ganzzahliger Programmierung ermöglichen. In einer ersten Rechenstudie, unter Verwendung gängiger MIP-Löser, vergleichen wir verschiedene ganzzahlige Formulierungen zur Berechnung von Taktfahrplänen. Unsere Ergebnisse rechtfertigen eine weitere Untersuchung des Zeitdiskretisierungsansatzes. In der Regel werden Fahrpläne mit Bezug auf die gegenwärtige Verkehrssituation optimiert. Dies birgt jedoch folgendes Problem. Wenn der neue Fahrplan eingeführt wird, ist es möglich, dass die Passagiere ein anderes Fahrverhalten zu Tage legen, als für die Berechnung des Fahrplans angenommen wurde. Vor diesem Hintergrund behandeln wir ein iteratives Verfahren zur Berechnung von Taktfahrplänen. Dieses ist eine Kombination aus Fahrplanberechnung und Passagierrouting. Neben den algorithmischen Details des Passagierroutings untersuchen wir Eigenschaften der berechneten Fahrpläne. Abschließend bestätigen wir unsere theoretischen Ergebnisse auf Grundlage einer eigenen Implementierung des Verfahrens.
    Keywords: ddc:510
    Language: English
    Type: masterthesis , doc-type:masterThesis
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  • 15
    Publication Date: 2020-08-05
    Description: This paper describes several experiments to explore the options for solving a class of mixed integer nonlinear programming problems that stem from a real-world mine production planning project. The only type of nonlinear constraints in these problems are bilinear equalities involving continuous variables, which enforce the ratios between elements in mixed material streams. A branch-and-bound algorithm to handle the integer variables has been tried in another project. However, this branch-and-bound algorithm is not effective for handling the nonlinear constraints. Therefore state-of-the-art nonlinear solvers are utilized to solve the resulting nonlinear subproblems in this work. The experiments were carried out using the NEOS server for optimization. After finding that current nonlinear programming solvers seem to lack suitable preprocessing capabilities, we preprocess the instances beforehand and use an heuristic approach to solve the nonlinear subproblems. In the appendix, we explain how to add a polynomial constraint handler that uses IPOPT as embedded nonlinear programming solver for the constraint programming framework SCIP. This is one of the crucial steps for implementing our algorithm in SCIP. We briefly described our approach and give an idea of the work involved.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 16
    Publication Date: 2020-08-05
    Description: Dieser kurze Aufsatz zur Algorithmengeschichte ist Eberhard Knobloch, meinem Lieblings-Mathematikhistoriker, zum 65. Geburtstag gewidmet. Eberhard Knobloch hat immer, wenn ich ihm eine historische Frage zur Mathematik stellte, eine Antwort gewusst – fast immer auch sofort. Erst als ich mich selbst ein wenig und dazu amateurhaft mit Mathematikgeschichte beschäftigte, wurde mir bewusst, wie schwierig dieses „Geschäft“ ist. Man muss nicht nur mehrere (alte) Sprachen beherrschen, sondern auch die wissenschaftliche Bedeutung von Begriffen und Symbolen in früheren Zeiten kennen. Man muss zusätzlich herausfinden, was zur Zeit der Entstehung der Texte „allgemeines Wissen“ war, insbesondere, was seinerzeit gültige Beweisideen und -schritte waren, und daher damals keiner präzisen Definition oder Einführung bedurfte. Es gibt aber noch eine Steigerung des historischen Schwierigkeitsgrades: Algorithmengeschichte. Dies möchte ich in diesem Artikel kurz darlegen in der Hoffnung, dass sich Wissenschaftshistoriker dieses Themas noch intensiver annehmen, als sie das bisher tun. Der Grund ist, dass heute Algorithmen viele Bereiche unserer Alltagswelt steuern und unser tägliches Leben oft von funktionierenden Algorithmen abhängt. Daher wäre eine bessere Kenntnis der Algorithmengeschichte von großem Interesse.
    Keywords: ddc:510
    Language: German
    Type: reportzib , doc-type:preprint
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  • 17
    Publication Date: 2016-06-09
    Description: We consider first order optimality conditions for state constrained optimal control problems. In particular we study the case where the state equation has not enough regularity to admit existence of a Slater point in function space. We overcome this difficulty by a special transformation. Under a density condition we show existence of Lagrange multipliers, which have a representation via measures and additional regularity properties.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 18
    Publication Date: 2016-02-15
    Description: Wissenschaftliche Bibliotheken sind Vermittler von digitalen Medieninhalten. Sie müssen ihren Nutzern einen Zugang zu ihnen ermöglichen. Digitales Rechte Management (DRM), eingesetzt von den Verlagen, soll Nutzung und Zugang kontrollieren. Bibliotheken stehen DRM daher misstrauisch gegenüber, da dieses als Gefahr für die Wissenschaft und ihre (digitalen) Bibliotheken gesehen wird. Nur eine effektive Auseinandersetzung der wissenschaftlichen Bibliotheken mit der jeweiligen Politik der Verlage und den Verfahrensweisen bei DRM ermöglicht es ihnen, ihre Rolle als Vermittler und 'Gedächtnis der Menschheit' auch weiterhin erfolgreich wahrnehmen zu können. Unbestritten ist, dass DRM in seiner restriktiven Form die tägliche Arbeit der Bibliotheken erschwert. Deshalb müssen sie sich aktiv an der Standardisierung, der Entwicklung von Nutzungskonzepten und der Gestaltung der Rahmenbedingungen beteiligen.
    Description: Academic libraries are mediators of digital content. They have to ensure access for their patrons. Digital Rights Management (DRM), used by publishers, should control access and usage. Libraries mistrust DRM, because it is seen as a danger to scholarship, sciences and their (digital) libraries. Libraries only can persist as the 'archive of all human knowledge' if they start an effective controversy about the publishers' policies and if they know how DRM works. It is uncontentious that the restrictive form of DRM will complicate the everyday work of libraries. Therefore they have to engage in the prozess of standardization, in the development of concepts of usage and in the definition of general conditions of DRM.
    Keywords: ddc:020
    Language: German
    Type: masterthesis , doc-type:masterThesis
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  • 19
    Publication Date: 2016-06-09
    Description: The enormous time lag between fast atomic motion and complex pro- tein folding events makes it almost impossible to compute molecular dy- namics on a high resolution. A common way to tackle this problem is to model the system dynamics as a Markov process. Yet for large molec- ular systems the resulting Markov chains can hardly be handled due to the curse of dimensionality. Coarse graining methods can be used to re- duce the dimension of a Markov chain, but it is still unclear how far the coarse grained Markov chain resembles the original system. In order to answer this question, two different coarse-graining methods were analysed and compared: a classical set-based reduction method and an alternative subspace-based approach, which is based on membership vectors instead of sets. On the basis of a small toy system, it could be shown, that in con- trast to the subset-based approach, the subspace-based reduction method preserves the Markov property as well as the essential dynamics of the original system.
    Keywords: ddc:510
    Language: English
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  • 20
    Publication Date: 2021-02-19
    Description: Line planning is an important step in the strategic planning process of a public transportation system. In this paper, we discuss an optimization model for this problem in order to minimize operation costs while guaranteeing a certain level of quality of service, in terms of available transport capacity. We analyze the problem for path and tree network topologies as well as several categories of line operation that are important for the Quito Trolebus system. It turns out that, from a computational complexity worst case point of view, the problem is hard in all but the most simple variants. In practice, however, instances based on real data from the Trolebus System in Quito can be solved quite well, and significant optimization potentials can be demonstrated.
    Keywords: ddc:510
    Language: English
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  • 21
    Publication Date: 2020-08-05
    Description: It is well known that competitive analysis yields too pessimistic results when applied to the paging problem and it also cannot make a distinction between many paging strategies. Many deterministic paging algorithms achieve the same competitive ratio, ranging from inefficient strategies as flush-when-full to the good performing least-recently-used (LRU). In this paper, we study this fundamental online problem from the viewpoint of stochastic dominance. We show that when sequences are drawn from distributions modelling locality of reference, LRU is stochastically better than any other online paging algorithm.
    Keywords: ddc:510
    Language: English
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  • 22
    Publication Date: 2020-12-15
    Description: Die Angebotsplanung im öffentlichen Nahverkehr umfasst die Aufgaben der Netz-, Linien-,Fahr- und Preisplanung. Wir stellen zwei mathematische Optimierungsmodelle zur Linien- und Preisplanung vor. Wir zeigen anhand von Berechnungen für die Verkehrsbetriebe in Potsdam(ViP), dass sich damit komplexe Zusammenhänge quantitativ analysieren lassen. Auf diese Weise untersuchen wir die Auswirkungen von Freiheitsgraden auf die Konstruktion von Linien und die Wahl von Reisewegen der Passagiere, Abhängigkeiten zwischen Kosten und Reisezeiten sowie den Einfluss verschiedener Preissysteme auf Nachfrage und Kostendeckung.
    Keywords: ddc:510
    Language: German
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  • 23
    Publication Date: 2022-03-14
    Description: This article introduces constraint integer programming (CIP), which is a novel way to combine constraint programming (CP) and mixed integer programming (MIP) methodologies. CIP is a generalization of MIP that supports the notion of general constraints as in CP. This approach is supported by the CIP framework SCIP, which also integrates techniques from SAT solving. SCIP is available in source code and free for non-commercial use. We demonstrate the usefulness of CIP on two tasks. First, we apply the constraint integer programming approach to pure mixed integer programs. Computational experiments show that SCIP is almost competitive to current state-of-the-art commercial MIP solvers. Second, we employ the CIP framework to solve chip design verification problems, which involve some highly non-linear constraint types that are very hard to handle by pure MIP solvers. The CIP approach is very effective here: it can apply the full sophisticated MIP machinery to the linear part of the problem, while dealing with the non-linear constraints by employing constraint programming techniques.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 24
    Publication Date: 2016-06-09
    Description: An extended mathematical framework for barrier methods for state constrained optimal control compared to [Schiela, ZIB-Report 07-07] is considered. This allows to apply the results derived there to more general classes of optimal control problems, in particular to boundary control and finite dimensional control.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 25
    Publication Date: 2016-06-30
    Description: The latest machine generation installed at supercomputer centres in Germany offers a peak performance in the tens of Tflop/s range. We study performance and scaling of our quantum chromodynamics simulation programme BQCD that we obtained on two of these machines, an IBM Blue Gene/L and an SGI Altix 4700. We compare the performance of Fortran/MPI code with assembler code. The latter allows to exploit concurrency at more levels, in particular in overlapping communication and computation as well as prefetching data from main memory.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
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  • 26
    Publication Date: 2021-08-05
    Description: In the recent years there has been tremendous progress in the development of algorithms to find optimal solutions for integer programs. In many applications it is, however, desirable (or even necessary) to generate all feasible solutions. Examples arise in the areas of hardware and software verification and discrete geometry. In this paper, we investigate how to extend branch-and-cut integer programming frameworks to support the generation of all solutions. We propose a method to detect so-called unrestricted subtrees, which allows us to prune the integer program search tree and to collect several solutions simultaneously. We present computational results of this branch-and-count paradigm which show the potential of the unrestricted subtree detection.
    Keywords: ddc:510
    Language: English
    Type: reportzib , doc-type:preprint
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  • 27
    Publication Date: 2020-08-05
    Description: Edmonds showed that the so-called rank inequalities and the nonnegativity constraints provide a complete linear description of the matroid polytope. By essentially adding Grötschel's cardinality forcing inequalities, we obtain a complete linear description of the cardinality constrained matroid polytope which is the convex hull of the incidence vectors of those independent sets that have a feasible cardinality. Moreover, we show how the separation problem for the cardinality forcing inequalities can be reduced to that for the rank inequalities. We also give necessary and sufficient conditions for a cardinality forcing inequality to be facet defining.
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  • 28
    Publication Date: 2020-08-05
    Description: The paper describes a method for solution of very large overdetermined algebraic polynomial systems on an example that appears from a classification of all integrable 3-dimensional scalar discrete quasilinear equations $Q_3=0$ on an elementary cubic cell of the lattice ${\mathbb Z}^3$. The overdetermined polynomial algebraic system that has to be solved is far too large to be formulated. A probing' technique which replaces independent variables by random integers or zero allows to formulate subsets of this system. An automatic alteration of equation formulating steps and equation solving steps leads to an iteration process that solves the computational problem.
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  • 29
    Publication Date: 2020-08-05
    Description: An algorithmic method using conservation law multipliers is introduced that yields necessary and sufficient conditions to find invertible mappings of a given nonlinear PDE to some linear PDE and to construct such a mapping when it exists. Previous methods yielded such conditions from admitted point or contact symmetries of the nonlinear PDE. Through examples, these two linearization approaches are contrasted.
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  • 30
    Publication Date: 2021-02-26
    Description: We classify all integrable 3-dimensional scalar discrete affine linear equations $Q_3=0$ on an elementary cubic cell of the lattice ${\mathbb Z}^3$. An equation $Q_3=0$ %of such form is called integrable if it may be consistently imposed on all $3$-dimensional elementary faces of the lattice ${\mathbb Z}^4$. Under the natural requirement of invariance of the equation under the action of the complete group of symmetries of the cube we prove that the only ontrivial(non-linearizable) integrable equation from this class is the well-known dBKP-system.
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  • 31
    Publication Date: 2020-12-11
    Description: The article describes the online mathematics test {\tt http://lie.math.brocku.ca/mathtest}, its typical applications and experiences gathered.
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  • 32
    Publication Date: 2016-06-09
    Description: We study the optimal control of a maximum-norm objective functional subject to an elliptic-type PDE and pointwise state constraints. The problem is transformed into a problem where the non-differentiable L^{\infty}-norm in the functional will be replaced by a scalar variable and additional state constraints. This problem is solved by barrier methods. We will show the existence and convergence of the central path for a class of barrier functions. Numerical experiments complete the presentation.
    Keywords: ddc:000
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  • 33
    Publication Date: 2020-08-05
    Description: We introduce (TTPlib), a data library for train timetabling problems that can be accessed at http://ttplib.zib.de. In version 1.0, the library contains data related to 50 scenarios. Most instances result from the combination of macroscopic railway networks and several train request sets for the German long distance area containing Hannover, Kassel and Fulda, short denoted by Ha-Ka-Fu. In this paper, we introduce the data concepts of TTPlib, describe the scenarios included in the library and provide a free visualization tool TraVis.
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  • 34
    Publication Date: 2020-08-05
    Description: The purpose of this paper is twofold. An immediate practical use of the presented algorithm is its applicability to the parametric solution of underdetermined linear ordinary differential equations (ODEs) with coefficients that are arbitrary analytic functions in the independent variable. A second conceptual aim is to present an algorithm that is in some sense dual to the fundamental Euclids algorithm, and thus an alternative to the special case of a Gr\"{o}bner basis algorithm as it is used for solving linear ODE-systems. In the paper Euclids algorithm and the new dual version' are compared and their complementary strengths are analysed on the task of solving underdetermined ODEs. An implementation of the described algorithm is interactively accessible at http://lie.math.brocku.ca/crack/uode.
    Keywords: ddc:510
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  • 35
    Publication Date: 2020-08-05
    Description: This paper proposes a new method for probabilistic analysis of online algorithms that is based on the notion of stochastic dominance. We develop the method for the Online Bin Coloring problem introduced by Krumke et al. Using methods for the stochastic comparison of Markov chains we establish the strong result that the performance of the online algorithm GreedyFit is stochastically dominated by the performance of the algorithm OneBin for any number of items processed. This result gives a more realistic picture than competitive analysis and explains the behavior observed in simulations.
    Keywords: ddc:510
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  • 36
    Publication Date: 2020-12-15
    Description: The optimization of fare systems in public transit allows to pursue objectives such as the maximization of demand, revenue, profit, or social welfare. We propose a non-linear optimization approach to fare planning that is based on a detailed discrete choice model of user behavior. The approach allows to analyze different fare structures, optimization objectives, and operational scenarios involving, e.g., subsidies. We use the resulting models to compute optimized fare systems for the city of Potsdam, Germany.
    Keywords: ddc:510
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  • 37
    Publication Date: 2022-03-14
    Description: Pseudo-Boolean problems generalize SAT problems by allowing linear constraints and a linear objective function. Different solvers, mainly having their roots in the SAT domain, have been proposed and compared,for instance, in Pseudo-Boolean evaluations. One can also formulate Pseudo-Boolean models as integer programming models. That is,Pseudo-Boolean problems lie on the border between the SAT domain and the integer programming field. In this paper, we approach Pseudo-Boolean problems from the integer programming side. We introduce the framework SCIP that implements constraint integer programming techniques. It integrates methods from constraint programming, integer programming, and SAT-solving: the solution of linear programming relaxations, propagation of linear as well as nonlinear constraints, and conflict analysis. We argue that this approach is suitable for Pseudo-Boolean instances containing general linear constraints, while it is less efficient for pure SAT problems. We present extensive computational experiments on the test set used for the Pseudo-Boolean evaluation 2007. We show that our approach is very efficient for optimization instances and competitive for feasibility problems. For the nonlinear parts, we also investigate the influence of linear programming relaxations and propagation methods on the performance. It turns out that both techniques are helpful for obtaining an efficient solution method.
    Keywords: ddc:510
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  • 38
    Publication Date: 2020-11-16
    Description: Der Artikel gibt einen Einblick in das reiche Feld der Zusammenarbeit zwischen Mathematik und Medizin. Beispielhaft werden drei Erfolgsmodelle dargestellt: Medizinische Bildgebung, mathematische Modellierung und Biosignalverarbeitung im Bereich der Dynamik des Herzens sowie mathematische Modellierung und Simulation in der Krebstherapie Hyperthermie und der Mund-Kiefer-Gesichts-Chirurgie. In allen Fällen existiert ein Gleichklang der Interessen von Medizin und Mathematik: Beide Disziplinen wollen die Resultate schnell und zuverlässig. Für die Klinik heißt das, dass notwendige Rechnungen in möglichst kurzer Zeit, und zwar auf dem PC, ablaufen müssen und dass die Resultate so genau und belastbar sein müssen, dass medizinische Entscheidungen darauf aufbauen können. Für die Mathematik folgt daraus, dass höchste Anforderungen an die Effizienz der verwendeten Algorithmen und die darauf aufbauende Software in Numerik und Visualisierung zu stellen sind. Jedes Kapitel endet mit einer Darstellung der Perspektive des jeweiligen Gebietes. Abschließend werden mögliche Handlungsoptionen für Politik und Wirtschaft diskutiert.
    Keywords: ddc:000
    Language: German
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  • 39
    Publication Date: 2020-08-05
    Description: Millionen von Menschen werden allein in Deutschland täglich von Bussen, Bahnen und Flugzeugen transportiert. Der öffentliche Personenverkehr (ÖV) ist von großer Bedeutung für die Lebensqualität einzelner aber auch für die Leistungsfähigkeit ganzer Regionen. Qualität und Effizienz von ÖV-Systemen hängen ab von politischen Rahmenbedingungen (staatlich geplant, wettbewerblich organisiert) und der Eignung der Infrastruktur (Schienensysteme, Flughafenstandorte), vom vorhandenen Verkehrsangebot (Fahr- und Flugplan), von der Verwendung angemessener Technologien (Informations-, Kontroll- und Buchungssysteme) und dem bestmöglichen Einsatz der Betriebsmittel (Energie, Fahrzeuge und Personal). Die hierbei auftretenden Entscheidungs-, Planungs- und Optimierungsprobleme sind z.T. gigantisch und "schreien" aufgrund ihrer hohen Komplexität nach Unterstützung durch Mathematik. Dieser Artikel skizziert den Stand und die Bedeutung des Einsatzes von Mathematik bei der Planung und Durchführung von öffentlichem Personenverkehr, beschreibt die bestehenden Herausforderungen und regt zukunftsweisende Maßnahmen an.
    Keywords: ddc:510
    Language: German
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  • 40
    Publication Date: 2022-03-14
    Description: This article introduces constraint integer programming (CIP), which is a novel way to combine constraint programming (CP) and mixed integer programming (MIP) methodologies. CIP is a generalization of MIP that supports the notion of general constraints as in CP. This approach is supported by the CIP framework SCIP, which also integrates techniques for solving satisfiability problems. SCIP is available in source code and free for noncommercial use. We demonstrate the usefulness of CIP on three tasks. First, we apply the constraint integer programming approach to pure mixed integer programs. Computational experiments show that SCIP is almost competitive to current state-of-the-art commercial MIP solvers. Second, we demonstrate how to use CIP techniques to compute the number of optimal solutions of integer programs. Third, we employ the CIP framework to solve chip design verification problems, which involve some highly nonlinear constraint types that are very hard to handle by pure MIP solvers. The CIP approach is very effective here: it can apply the full sophisticated MIP machinery to the linear part of the problem, while dealing with the nonlinear constraints by employing constraint programming techniques.
    Keywords: ddc:000
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  • 41
    Publication Date: 2019-05-10
    Description: Pulse thermography of concrete structures is used in civil engineering for detecting voids, honeycombing and delamination. The physical situation is readily modeled by Fourier's law. Despite the simplicity of the PDE structure, quantitatively realistic numerical 3D simulation faces two major obstacles. First, the short heating pulse induces a thin boundary layer at the heated surface which encapsulates all information and therefore has to be resolved faithfully. Even with adaptive mesh refinement techniques, obtaining useful accuracies requires an unsatisfactorily fine discretization. Second, bulk material parameters and boundary conditions are barely known exactly. We address both issues by a semi-analytic reformulation of the heat transport problem and by parameter identification. Numerical results are compared with measurements of test specimens.
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  • 42
    Publication Date: 2016-06-09
    Description: In this paper we are concerned with the application of interior point methods in function space to gradient constrained optimal control problems, governed by partial differential equations. We will derive existence of solutions together with first order optimality conditions. Afterwards we show continuity of the central path, together with convergence rates depending on the interior point parameter.
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  • 43
    Publication Date: 2016-06-09
    Description: We consider an interior point method in function space for PDE constrained optimal control problems with state constraints. Our emphasis is on the construction and analysis of an algorithm that integrates a Newton path-following method with adaptive grid refinement. This is done in the framework of inexact Newton methods in function space, where the discretization error of each Newton step is controlled by adaptive grid refinement in the innermost loop. This allows to perform most of the required Newton steps on coarse grids, such that the overall computational time is dominated by the last few steps. For this purpose we propose an a-posteriori error estimator for a problem suited norm.
    Keywords: ddc:510
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  • 44
    Publication Date: 2020-08-05
    Description: Ticket pricing in public transport usually takes a welfare or mnemonics maximization point of view. These approaches do not consider fairness in the sense that users of a shared infrastructure should pay for the costs that they generate. We propose an ansatz to determine fair ticket prices that combines concepts from cooperative game theory and integer programming. An application to pricing railway tickets for the intercity network of the Netherlands demonstrates that, in this sense, prices that are much fairer than standard ones can be computed in this way.
    Keywords: ddc:510
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  • 45
    Publication Date: 2014-02-26
    Description: We present a second order sharp interface finite volume method for the solution of the three-dimensional poisson equation with variable coefficients on Cartesian grids. In particular, we focus on interface problems with discontinuities in the coefficient, the source term, the solution, and the fluxes across the interface. The method uses standard piecewiese trilinear finite elements for normal cells and a double piecewise trilinear ansatz for the solution on cells intersected by the interface resulting always in a compact 27-point stencil. Singularities associated with vanishing partial volumes of intersected grid cells are removed by a two-term asymptotic approach. In contrast to the 2D method presented by two of the authors in [M.~Oevermann, R.~Klein: A Cartesian grid finite volume method for elliptic equations with variable coefficients and embedded interfaces, J.~Comp.~Phys.~219 (2006)] we use a minimization technique to determine the unknown coefficients of the double trilinear ansatz. This simplifies the treatment of the different cut-cell types and avoids additional special operations for degenerated interface topologies. The resulting set of linear equations has been solved with a BiCGSTAB solver preconditioned with an algebraic multigrid. In various testcases -- including large coefficient ratios and non-smooth interfaces -- the method achieves second order of accuracy in the L_inf and L_2 norm.
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  • 46
    Publication Date: 2020-08-05
    Description: Given a combinatorial optimization problem and a subset $N$ of natural numbers, we obtain a cardinality constrained version of this problem by permitting only those feasible solutions whose cardinalities are elements of $N$. In this paper we briefly touch on questions that addresses common grounds and differences of the complexity of a combinatorial optimization problem and its cardinality constrained version. Afterwards we focus on polytopes associated with cardinality constrained combinatorial optimization problems. Given an integer programming formulation for a combinatorial optimization problem, by essentially adding Grötschel's cardinality forcing inequalities, we obtain an integer programming formulation for its cardinality restricted version. Since the cardinality forcing inequalities in their original form are mostly not facet defining for the associated polyhedra, we discuss possibilities to strengthen them.
    Keywords: ddc:510
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  • 47
    Publication Date: 2020-08-05
    Description: This survey concerns optimization problems arising in the design of survivable communication networks. It turns out that such problems can be modeled in a natural way as non-compact linear programming formulations based on multicommodity flow network models. These non-compact formulations involve an exponential number of path flow variables, and therefore require column generation to be solved to optimality. We consider several path-based survivability mechanisms and present results, both known and new, on the complexity of the corresponding column generation problems (called the pricing problems). We discuss results for the case of the single link (or node) failures scenarios, and extend the considerations to multiple link failures. Further, we classify the design problems corresponding to different survivability mechanisms according to the structure of their pricing problem. Finally, we show that almost all encountered pricing problems are hard to solve for scenarios admitting multiple failures.
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  • 48
    Publication Date: 2016-06-30
    Description: We study performance and scaling of the Berlin Quantum Chromodynamics Program (BQCD) on the SGI Altix 4700 at Leibniz Supercomputing Centre (LRZ). We employ different communication methods (MPI, MPI with two OpenMP threads per process, as well as the shmem library) and run the MPI version on the two types of nodes of that machine. For comparison with other machines we made performance measurements on an IBM p690 cluster and a Cray XT4.
    Keywords: ddc:004
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  • 49
    Publication Date: 2021-02-19
    Description: We introduce an optimization model for the line planning problem in a public transportation system that aims at minimizing operational costs while ensuring a given level of quality of service in terms of available transport capacity. We discuss the computational complexity of the model for tree network topologies and line structures that arise in a real-world application at the Trolebus Integrated System in Quito. Computational results for this system are reported.
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  • 50
    Publication Date: 2021-02-19
    Description: Line planning is an important step in the strategic planning process of a public transportation system. In this paper, we discuss an optimization model for this problem in order to minimize operation costs while guaranteeing a certain level of quality of service, in terms of available transport capacity. We analyze the problem for path and tree network topologies as well as several categories of line operation that are important for the Quito Trolebus system. It turns out that, from a computational complexity worst case point of view, the problem is hard in all but the most simple variants. In practice, however, instances based on real data from the Trolebus System in Quito can be solved quite well, and significant optimization potentials can be demonstrated.
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  • 51
    Publication Date: 2022-04-11
    Description: Mit dem Informationsdienst Math&Industry soll ein Prototyp eines dezentralen Informationssystems für Förderprogramme und Forschungsprojekte geschaffen werden, das sich auf andere Programme (bezüglich angewandter Mathematik, aber auch darüber hinaus) übertragen lässt. Das betrifft sowohl die Konzeption (Strukturierung der Informationen) als auch die Werkzeuge, die anderen BMBF-Förderprogrammen zur Verfügung gestellt werden können. Damit sollen diese in die Lage versetzt werden, die in Math&Industry entwickelten Konzepte und Werkzeuge an ihre spezifischen Bedürfnisse anzupassen.
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    Language: German
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  • 52
    Publication Date: 2022-07-19
    Description: In dieser Arbeit wird eine Serie von Remeshing-Verfahren um die Berücksichtigung von nicht-mannigfaltigen Dreiecksvernetzungen und Merkmalskantenzügen erweitert. Die betrachteten Verfahren arbeiten im Wesentlichen lokal. Daher können die im Rahmen dieser Arbeit entwickelten Erweiterungen, die nicht-mannigfaltige Kantenzüge und Merkmalskantenzüge betreffen, separat beschrieben werden. Dabei wird ein Ansatz verfolgt, beide Arten von besonderen Kantenzügen aufgrund ihrer Gemeinsamkeiten einheitlich zu behandeln. Dieser besteht zum einen darin, eine Korrespondenz zwischen Kantenzügen auf der Eingabe- und der Ausgabefläche zu erhalten, indem die Remeshing-Operationen auf den Kantenzügen in entsprechend eingeschränkter Weise verwendet werden. Zum anderen wird beschrieben, wie die Abtastdichte der Kantenzüge dynamisch an die Abtastdichte der Umgebung angepasst werden kann, um für weitgehende Isotropie in der Nähe von Merkmalskantenzügen zu sorgen.
    Description: A unified approach for consistent remeshing of arbitrary non-manifold triangle meshes with additional user-defined feature lines is presented. The method is based on local operations only and produces meshes of high regularity and triangle quality while preserving the geometry as well as topology of the feature lines as well as the input mesh.
    Keywords: ddc:004
    Language: German
    Type: masterthesis , doc-type:masterThesis
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  • 53
    Publication Date: 2022-07-19
    Description: This work introduces a novel streamline seeding technique based on dual streamlines that are orthogonal to the vector field, instead of tangential. The greedy algorithm presented here produces a net of orthogonal streamlines that is iteratively refined resulting in good domain coverage and a high degree of continuity and uniformity. The algorithm is easy to implement and efficient, and it naturally extends to curved surfaces.
    Description: In dieser Arbeit wird eine neue Strategie zur Platzierung von Stromlinien vorgestellt. Hierzu werden zusätzliche duale Stromlinien verwendet, die --im Gegensatz zur üblichen Definition-- orthogonal zum Vektorfeld verlaufen. Der vorgestellte Greedy-Algorithmus berechnet ein Netz aus orthogonalen Stromlinien, welches iterativ verfeinert wird, was zu einer guten Abdeckung der Domäne und einer gleichmäßigen Verteilung der Stromlinien führt. Es handelt sich um einen einfach zu implementierenden und effizienten Algorithmus, der direkt auf gekrümmten Oberflächen anwendbar ist.
    Keywords: ddc:004
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  • 54
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Synthesis of 3-Oxo-8-oxabicyclo[3.2.1]oct-6-ene-2-carbonitriles from γ-Bromo-β-oxonitriles and Furan via [4 + 3] Cycloaddition of 1-Cyanoallylium-2-olatesSome γ-bromo-β-oxonitriles 3 react with furan in the presence of silver oxide to form stereoselectively the title compounds 7. Satisfying yields are obtained only with those bromides 3, whose γ-carbon ist tertiary or which are monoalkylated both at the α- and γ-carbon atoms. The results are explained by a [4 + 3] cycloaddition of 1-cyanoallylium-2-olate intermediates (14) to the 1,3-diene system of the furan. With cyclic γ-bromo-β-oxonitriles (6) two types of cycloadducts were observed: 3-bromo-3-methyl-2-oxocyclohexanecarbonitrile (6b) and 3-bromo-2-oxocyclododecanecarbonitrile (6d) form the tricyclic [4 + 3] cycloadducts 10b and d, analogs of the bicyclic adducts 7. With 3-bromo-2-oxocyclohexanecarbonitrile (6a) and 3-bromo-5-tert-butyl-2-oxocyclohexanecarbonitrile (6e), however, the carbonyl oxygen is connected with an α-carbon of the furan to give the tricyclic [3 + 2] cycloadducts 12Aa and Ae. The structure of endo-2,endo-4-dimethyl-3-oxo-8-oxabicyclo[3.2.1]oct-6-ene-exo-2-carbonitrile (7eα) was determined by X-ray analysis.
    Notes: Verschiedene γ-Brom-β-oxonitrile 3 reagieren in Gegenwart von Silberoxid mit Furan stereoselektiv zu den Titelverbindungen 7. Befriedigende Ausbeuten werden nur mit solchen Bromiden 3 erhalten, deren γ-Kohlenstoff tertiär ist oder die sowohl am α- als auch γ-Kohlenstoff monoalkyliert sind (3c, e-h). Die Befunde werden durch eine [4 + 3]-Cycloaddition von intermediären 1-Cyanallylium-2-olaten (14) an das 1,3-Dien-System des Furans erklärt. Mit cyclischen γ-Brom-β-oxonitrilen (6) wurden zwei Typen von Cycloaddukten beobachtet: 3-Brom-3-methyl-2-oxocyclohexancarbonitril (6b) und 3-Brom-2-oxocyclododecancarbonitril (6d) reagieren zu den tricyclischen [4 + 3]-Cycloaddukten 10b und d, Analoga der Bicyclen 7. Bei 3-Brom-2-oxocyclohexancarbonitril (6a) und 3-Brom-5-tert-butyl-2-oxocyclohexancarbonitril (6e) wurde jedoch der Carbonyl-Sauerstoff mit einem α-Kohlenstoffatom des Furans verknüpft, wobei die tricyclischen [3 + 2]-Cycloaddukte 12Aa und Ae entstanden. Die Struktur von endo-2,endo-4-Dimetyl-3-oxo-8-oxabicyclo[3.2.1]oct-6-en-exo-2-carbonitril (7eα) wurde durch eine Röntgenstrukturanalyse bestimmt.
    Additional Material: 1 Ill.
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  • 55
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Metal-π-Complexes of Benzene Derivatives, XV. Bis(η6-naphthalene)chromium(0): X-Ray Structure Determination and Investigation by Nuclear Magnetic Resonance SpectroscopyBis(η6-naphthalene)chromium(0) (2) crystallizes in the space group P21/n with two molecules in the unit cell. The ligands in individual molecules of 2 are syn-oriented. The implied presence of a center of symmetry in 2 is caused by disorder that consists in the statistical occupation by chromium atoms of two equivalent sites between the six membered ring of pairs of parallel naphthalene ligands. The 1H and 13C NMR spectra of 2 are analysed and the spectroscopic parameters are discussed with reference to the respective data of free naphthalene as well as other (η-naphthalene)metal complexes.
    Notes: Bis(η6-naphthalin)chrom(0) (2) kristallisiert in der Raumgruppe P21/n mit zwei Molekülen in der Elementarzelle. Die Liganden in individuellen Molekülen von 2 nehmen dabei eine syn-Anordnung ein. Das Vorliegen eines Symmetriezentrums in 2 wird durch eine Fehlordnung vorgetäuscht, die darin besteht, daß in Paaren parallel angeordneter Naphthalin-Liganden linke und rechte Lücken zwischen den Sechsringen statistisch mit Chromatomen besetzt sind. Die 1H- und 13C-NMR-Spektren von 2 werden analysiert, und die spektroskopischen Parameter werden im Vergleich mit entsprechenden Daten des freien Naphthalins sowie anderer (η-Naphthalin)metall-Komplexe diskutiert.
    Additional Material: 7 Ill.
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 393-395 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Refinement of the Crystal Structure of (Ethylenediamine)zinc(II) Benzohydroxamate Hydrate, ZnC23H29N5O7The already known structure1) of the title compound has been refined and slightly corrected from new data.
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  • 57
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    Berichte der deutschen chemischen Gesellschaft 115 (1982) 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 58
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 3904-3907 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Reactions of Allylidenephosphoranes with Heterocumulenes, II. New Syntheses of 1,2,4-Pentatrienes and 2-Pentene-1,5-dionesCinnamylidenetriphenylphosphorane (2a) undergoes Wittig reaction with ketenes to afford monomeric and dimeric 1,2,4-pentatrienes 4 and 5, resp. 4b reacts further with an excess of ketene via a [2 + 2]-cycloaddition, whereby the 3-styryl-1-naphthyl diphenylacetate 12 is formed. In contrast, with the α-phenylsubstituted phosphorane 2b, instead of the Wittig reaction addition of ketene takes place at both the α- and the γ-positions. The 1,3-diacyl-3-triphenylphosphonio-1-propen-3-enolate 6 readily hydrolyzes to the 2-pentene-1,5-dione 9.
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  • 59
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2668-2673 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Contributions to the Chemistry of Boron, 127. Hexamethylborazine-Gallium Trichloride: Structure in Solution and in the Solid StateHexamethylborazine forms a 1:1 adduct 1 with gallium trichloride. It is isostructural with hexamethylborazine-aluminium tribromide. The BN heterocycle is no longer planer, and the molecule adapts almost Cs symmetry and contains a tetracoordinated nitrogen atom. 1 shows fluctional behavior in toluene solution at room temperature. The coordinated GaCl3 will no longer change its coordination site at T 〈 220 K (two signals each for the CH3N-and CH3B-protons). However, at T 〈 195 K an additional splitting of the signals is observed - three signals for each type of CH3 groups: this would be consistent with a pentacoordinated gallium atom and a bidentate borazine ligand.
    Additional Material: 1 Ill.
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  • 60
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    Berichte der deutschen chemischen Gesellschaft 115 (1982) 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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  • 61
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2679-2681 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Preparation of Cyclic Nitrones from Heterocyclic N-(Benzyloxy)aminesTreatment of heterocyclic N-(benzyloxy)amines 1 with concentrated hydrogen peroxide solution in acetic acid enables the preparation of 7-membered cyclic nitrones in respectable yields. This one-pot procedure offers some advantages compared with conventional routes.
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  • 62
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2674-2678 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Vinyl Carbanions, 13. Convenient Synthesis of Oxaloacetic Acid DerivativesThe vinyllithium derivatives 2a, b and 9a, b, obtained by direct lithiation of the functionally substituted acrylic acid derivatives 1a, b and 8a, b, respectively, react with heterocumulenes A-E such as phenyl isocyanate, phenyl isothiocyanate, and carbon dioxide to give derivatives of oxaloacetic acid. In a single step reaction the oxaloacetic acid monoester 6a and monoamide 6b were synthesized.
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  • 63
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2683-2696 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Synthesis of a [3]-PrecatenaneStarting from the previously synthesised compound 9a, the cyclophane 13 is prepared. Acetalisation with 1,25-dichloro-13-pentacosanone followed by nitration and reduction afforded the diamine 16. By cyclization of this compound in isoamyl alcohol with sodium carbonate and sodium iodide under high dilution conditions the monomeric products 17, 18, and 19 are obtained in yields of 5.0, 2.4, and 0.1%, respectively. On the basis of mass, 13C and 1H NMR spectra the structures of these compounds are discussed. The attempted transformation of the [3]-precatenane 17 into the [3]-catenane 24 gives a mixture of products among which 24 could not be identified with certainty.
    Notes: Ausgehend von der bereits früher hergestellten Verbindung 9a wird das Cyclophan 13 synthetisiert. Durch dessen Acetalisierung mit 1,25-Dichlor-13-pentacosanon, nachfolgende Nitrierung und Reduktion wird das Diamin 16 erhalten. Dessen Cyclisierung in Isoamylalkohol in Gegenwart von Natriumcarbonat und Natriumiodid unter Verdünnungsbedingungen ergibt die monomeren Cyclisierungsprodukte 17, 18 und 19 in Ausbeuten von 5.0, 2.4 und 0.1%. Die Struktur dieser Verbindungen wird anhand der Massen-, 13C-und 1H-NMR-Spektren diskutiert. Die versuchte Umwandlung des [3]-Praecatenans 17 in das [3]-Catenan 24 führt zu einem Produktgemisch, in dem 24 nicht mit Sicherheit identifiziert werden konnte.
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2697-2706 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Ozonolysis of Symmetrically 1,2-Disubstituted Ethylenes in HCl/Methanol Solutions: Acid Catalyzed Reactions of Primary Cleavage ProductsThe ozonolysis of olefins in 1 M anhydrous solutions of hydrogen chloride in methanol at ≤ 0°C was investigated. Upon warm-up of the ozonolysis products, the peroxidic primary fragmentation products were converted into non-peroxidic end-products by HCl-catalyzed reactions. Cyclopentene (1a) and cyclohexene (1b), e.g., afforded mixtures of the corresponding α,ω-dialdehyde-bis(dimethyl acetals) (8), dimethyl α,ω-dicarboxylates (9), and methyl ω-aldehyde dimethyl acetal carboxylates (10). Norbornene (1c) gave a mixture of the correspondingly substituted 1,3-cyclopentane compounds (8c-10c), phenanthrene (22) gave a mixture of methyl 2′-formyl-2-biphenyl-carboxylate (24a), 2,2′-biphenyldicarbaldehyde (24b), and dimethyl 2,2′-biphenyldicarboxylate (24c). A reaction scheme was advanced for the rationalization of the types and the distribution of the products. It was partly substantiated by model reactions.
    Notes: Die Ozonolyse von Olefinen in wasserfreien 1 M Lösungen von Chlorwasserstoff in Methanol bei ≤ 0°C wurde untersucht. Beim Erwärmen der Ozonolyseprodukte traten HCI-katalysierte Folgereaktionen ein, in deren Verlauf die peroxidischen Primärspaltprodukte in peroxidfreie Endprodukte umgewandelt wurden. Z. B. lieferten Cyclopenten (1a) und Cyclohexen (1b) Gemische der entsprechenden α,ω-Dialdehyd-bis(dimethylacetale) (8), α,ω-Dicarbonsäure-dimethylester (9) und ω-Aldehyd-dimethylacetal-carbonsäure-methylester (10). Norbornen (1c) ergab ein Gemisch der entsprechend substituierten 1,3-Cyclopentanverbindungen (8c-10c), Phenanthren (22) ein Gemisch von 2′-Formyl-2-biphenylcarbonsäure-methylester (24a), 2,2′-Biphenyldicarbaldehyd (24b) und 2,2′-Biphenyldicarbonsäure-dimethylester (24c). Für die Entstehungsweise und die Verteilung der Produkte wurde ein Reaktionsweg formuliert, welcher z. T. durch Modellreaktionen bestätigt wurde.
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 1755-1764 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Triarylmethyl Systems, III. Synthesis of α-Aryl[1.n]paracyclophanesAs triarylmethyl systems with unusual sterical orientation of the aryl rings α-aryl[1.n]paracyclophanes with n = 5-8 (1a-d, 8a,b) were synthesized via the corresponding dithia[1.(n + 2)]-paracyclophanes (2a-d, 6a,b) and the disulfones (3a-d, 7a,b) derived therefrom. The sterical situation in these α-aryl[1.n]paracyclophanes is discussed, especially on the basis of 1H NMR data.
    Notes: Als Triarylmethyl-Systeme mit ungewöhnlicher räumlicher Orientierung der Aryl-Ringe wurden α-Aryl[1.n]paracyclophane mit n = 5-8 (1a-d, 8a,b) über die entsprechenden Dithia-[1.(n + 2)]paracyclophane (2a-d, 6a,b) und die davon abgeleiteten Disulfone (3a-d, 7a,b) dargestellt. Die sterischen Verhältnisse dieser α-Aryl[1.n]paracyclophane werden, besonders anhand von 1H-NMR-Spektren, diskutiert.
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Desulfurization Reactions with Iron Carbonyl Compounds: Carbonyl(dioxolanylidene)iron Complexes from ThionocarbonatesDesulfurizations of thionocarbonates 3 with Fe(CO)5 and Fe2(CO)9 yield tetracarbonyl(dioxolanylidene)iron(0) complexes 4 and olefins 2 under thermal conditions. Photochemical conditions lead to 4 and cluster compounds with the formula Fe3(CO)9S(dioxolanylidene) (5). In all reactions Fe3(CO)9S2 (6) was also isolated. The carbene complexes are characterized spectroscopically. An X-ray structure analysis of the tetracarbonyliron carbene complex 4j shows the dioxolanylidene ligand in the axial position of a distorted trigonal bipyramid. (Dioxolanylidene)iron(0) complexes are „ylides with inverse bond polarizations“ (15).
    Notes: Die Desulfurierung von Thionocarbonaten 3 mit Fe(CO)5 und Fe2(CO)9 gibt je nach Energiequelle unterschiedliche Reaktionsprodukte. Bei der thermischen Reaktion (105°C, Toluol) entstehen Tetracarbonyl(dioxolanyliden)eisen(0)-Komplexe 4 und Olefine 2. Durch Bestrahlung entsteht ebenfalls 4, außerdem werden Clusterverbindungen der Zusammensetzung Fe3(CO)9S(dioxolanyliden) (5) isoliert. Bei allen Reaktionen wird außerdem Fe3(CO)9S2 (6) gebildet. Eine Röntgenstrukturanalyse von 4j zeigte den Dioxolanyliden-Liganden in der axialen Position einer trigonalen Bipyramide. (Dioxolanyliden)eisen(0)-Verbindungen sind „Ylide mit inverser Bindungspolarisation“ (15).
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 1810-1817 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: New Reagents, XX. (Triphenylstannyl)methyllithium and Analogous Trialkylstannyl Compounds, Synthesis and Reactions(Triphenylstannyl)methyllithium (1a) and analogous trialkylstannyl compounds (1b, c) were synthesized by halogen-lithium exchange reactions from 3a-c. As shown by high yields, stannyl groups are capable of stabilizing a carbanionic centre. 1a reacts with aldehydes and ketones to give β-hydroxystannanes 5 which tend to form olefins.
    Notes: (Triphenylstannyl)methyllithium (1a) sowie analoge Trialkylstannyl-Verbindungen (1b, c) wurden durch Halogen-Lithium-Austausch aus 3a-c synthetisiert. Die erzielten hohen Ausbeuten zeigen, daß Stannylgruppen ein carbanionisches Zentrum stabilisieren. 1a reagiert mit Aldehyden und Ketonen zu β-Hydroxystannanen 5, die zur Olefinbildung neigen.
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 1765-1774 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Triarylmethyl Systems, IV. Synthesis and Reactions of α-Hydroxy- and α-Halo-α-aryl[1.n]paracyclophanesBy bromination of hydrocarbons 1a-d and 6 α-bromo-α-aryl[1.n]paracyclophanes with n = 5-8 (2a-d, 7) were prepared. Via 2a-d α-hydroxy-α-aryl[1.n]paracyclophanes 3a-d were obtained, starting from which the α-chloro and α-fluoro derivatives 4a-d and 5a,b, resp., were synthesized. - Compounds of the types 2-5 were of interest as representatives of a special triarylmethyl system for which, due to the [1.n]paracyclophane structure, unusual steric and electronic effects were to be expected. The formation of p,p′-bridged triarylmethyl radicals 8 from 2a-d and their dimerisation were investigated. Rate constants for the hydrolysis of α-bromo and α-chloro compounds 2a-d and 4a-d proceeding via the carbenium ions 9 were determined in water/acetone by conductivity measurements. Stabilities of 9 (n = 5-8), formed from the hydroxy compounds 3a-d in conc. sulfuric acid, were determined; their dependence on n is discussed in terms of specific steric and electronic effects of the α-aryl[1.n]paracyclophane system. Some spectroscopic data are reported for the carbanions 10.
    Notes: Durch Bromierung der Kohlenwasserstoffe 1a-d und 6 wurden α-Brom-α-aryl[1.n]paracyclophane mit n = 5-8 (2a-d,7) dargestellt. Aus 2a-d erhielt man die α-Hydroxy-Verbindungen 3a-d, von denen aus die α-Chlor- und α-Fluor-Derivate 4a-d bzw. 5a,b zugänglich waren. - Verbindungen des Typs 2-5 interessierten als Vertreter eines besonderen Triarylmethyl-Systems, für das als Folge der [1.n]Paracyclophan-Struktur ungewöhnliche sterische und elektronische Effekte zu erwarten waren. Die Bildung der p,p′-überbrückten Triarylmethyl-Radikale 8 aus 2a-d und ihre Dimerisierung wurden untersucht. Die Geschwindigkeiten der über Carbenium-Ionen 9 verlaufenden Hydrolysen der α-Brom- und α-Chlor-Verbindungen 2a-d bzw. 4a-d in Wasser/Aceton wurden durch Leitfähigkeitsmessungen bestimmt und mit denen der entsprechenden Di- und Triphenylmethyl-Derivate verglichen. Die Stabilitäten der aus den α-Hydroxy-Verbindungen 3a-d in konz. Schwefelsäure erzeugten Carbenium-Ionen 9 mit n = 5-8 wurden ermittelt; ihre Abhängigkeit von n wird unter dem Gesichtspunkt der sterischen und elektronischen Effekte des α-Aryl[1.n]paracyclophan-Systems diskutiert. Einige spektroskopische Daten der Carbanionen 10 werden mitgeteilt.
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 1825-1834 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Protophanes and Polyaromatics, XXVI. Synthesis and Properties of Dehydrooligomers of 2-(3-Thienyl)- and 2-(Benzo[b]thien-3-yl)quinoxalineMonolithiated 2-(3-thienyl)- (1a′) and 2-(benzo[b]thien-3-yl)quinoxaline (2a′) react in each case by selfaddition to polyadducts from which polyaromatics can be prepared by hydrolysis and subsequent oxidation. From the reaction mixtures open-chain polyaromatics with 4 to 12 aromatic units (1b-f, 2b-d) were isolated. Starting from 2a′, in addition to open-chain polyaromatics the cyclotetraaromatic 7 has been obtained in low yield.
    Notes: Monolithiiertes 2-(3-Thienyl)- (1a′) und 2-(Benzo[b]thien-3-yl)chinoxalin (2a′) reagieren jeweils durch Selbstaddition zu Polyaddukten, aus denen durch Hydrolyse und anschließende Oxidation Polyaromaten entstehen. Aus den Reaktionsgemischen konnten offenkettige Polyaromaten mit 4-12 Aromateneinheiten (1b-f, 2b-d) isoliert werden. Aus 2a′ entstand zusätzlich zu den offenkettigen Polyaromaten in geringer Ausbeute der Cyclotetraaromat 7.
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 1835-1856 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: The Chemistry of Biquadricyclanylidene Inter- and Intramolecular [π2+σ2+σ2]-Cycloaddition ReactionsThe value of biquadricyclanylidene 6 for the synthesis of polychromophoric frameworks of the type 1-5 through [π2+σ2+σ2]-cycloaddition of bishomodienophilic partners is elucidated. Thus, dimethyl acetylenedicarboxylate, dicyanoacetylene, maleic anhydride, and dimethyl azodicarboxylate are added with very good to good yields (90-50%) exo-specifically and in the case of the bis-adducts with high anti-selectivity. N-Phenyl-1,2,4-triazolinedione, however, attacks the central C=C-double bond of 6 forming a 1:1-adduct considered to be the 1,2,4-triazolium-3-olate 40. With the conversion of 41 into 42 an intramolecular [π2+σ2+σ2]-cycloaddition has been realized for the first time. X-ray structural analyses of tetramethyl anti-9,9′-bi[(1α,2β,5β,6α)-tricyclo[4.2.1.02,5]nona-3,7-dienylidene]-3,3′,4,4′-tetracarboxylate (14a) and its exo-epoxide 23 have been performed.
    Notes: Die Brauchbarkeit des Biquadricyclanylidens 6 zum Aufbau polychromophorer Gerüste vom Typ 1-5 durch [π2+σ2+σ2]-Cycloaddition von bishomodienophilen Partnern wird untersucht. Acetylendicarbonsäure-dimethylester, Dicyanacetylen, Maleinsäureanhydrid und Azodicarbonsäure-dimethylester werden in diesem Sinn mit sehr guten bis guten Gesamtausbeuten (90-50%) exo-spezifisch, bei zweifacher Addition mit hoher Bevorzugung der anti-Isomeren, addiert. N-Phenyl-1,2,4-triazolindion greift 6 an der zentralen C=C-Doppelbindung unter Ausbildung eines vorläufig als 1,2,4-Triazolium-3-olat 40 angesprochenen 1:1-Adduktes an. Mit der Umwandlung 41 → 42 wird erstmals eine intramolekulare [π2+σ2+σ2]-Thermocycloaddition verwirklicht. Von anti-9,9′-Bi[(1α,2β,5β,6α)-tricyclo[4.2.1.02,5]nona-3,7-dienyliden]-3,3′,4,4′-tetracarbonsäuretetramethylester (14a) und seinem exo-Epoxid 23 wurden Röntgenstrukturanalysen durchgeführt.
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Thermolysis of Tetramethyl anti-9,9′-Bi[(1α,2β,5β,6α)-tricyclo[4.2.1.02,5]nona-3,7-dienylidene]-3,3′,4,4′-tetracarboxylate An Efficient Intramolecular 1,4-Cyclohexanediyl Interception - A Multistep Isomerisation SequenceThe thermolysis of the anti-pentaene-tetraester 1, which is of interest in connection with its photochemistry, is examined. At 120°C 1 undergoes a uniform isomerisation with participation of four bonds to the octacycle 4. From the behaviour of several model compounds (2, 10-14) it is concluded that the transformation 1 → 4 begins with the 1,6-bridging between one of the orthogonal 1,5-diene segments and proceeds via a cascade of stabilised diradicals (5-7). This implies a quantitative, intramolecular interception of the 1,4-diyl intermediate (5) of the Cope reaction. Starting from 4 four additional, consecutively formed hepta- and hexacyclic isomerisation products (21 and 24-26) are isolated between 160 and 210°C. An x-ray structural analysis confirms the structure of 24.
    Notes: Die im Zusammenhang mit der Photochemie interessierende Thermolyse des anti-Pentaen-tetraesters 1 wird untersucht. 1 geht bei 120°C unter Beteiligung von vier Bindungen einheitlich in den isomeren Octacyclus 4 über. Aus dem Verhalten mehrerer Modellverbindungen (2, 10-14) wird geschlossen, daß die Umwandlung 1 → 4 mit der 1,6-Überbrückung in einem der orthogonalen 1,5-Diensegmente eingesetzt und über eine Kaskade stabilisierter Diradikale (5-7) abläuft. Damit ist impliziert, daß die 1,4-Diyl-Vorstufe der Cope-Reaktion (5) quantitativ intramolekular abgefangen wird. Ausgehend von 4 werden zwischen 160 und 210°C mit 21 und 24-26 vier weitere konsekutiv gebildete hepta- bzw. hexacyclische Isomerisierungsprodukte isoliert. Davon ist die Struktur 24 durch Röntgenstrukturanalyse bewiesen.
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2125-2134 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Polycyclic Compounds, XXI. Synthesis of Isomeric Benz[c]azepine Derivatives by 1,3-Transposition of the Nitrogen Function in the Seven-membered Ring SystemThe easily available oxanorbornadienes 1a and 1b are converted to various isomeric benz[c]azepine derivatives. The change of the position of the acetylated nitrogen in the seven-membered ring relative to the methoxycarbonyl groups in the six-membered ring by the reaction sequence 1 → 4 → 5 can be considered as a 1,3-transposition of the nitrogen function.
    Notes: Die leicht zugänglichen Oxanorbornadiene 1a und 1b können zu verschiedenen isomeren Benz[c]azepin-Derivaten abgewandelt werden. Die Änderung der Stellung des acetylierten Stickstoffs im Siebenring relative zu den Methoxycarbonylgruppen im Sechsring durch die Reaktionsfolge 1 → 4 → 5 kann als 1,3-Transposition der Stickstoff-Funktion aufgefaßt werden.
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    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2076-2124 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Element-Organic Amine/Imine Compounds, XXIII. Rotamers of Aminophosphanes and AminophosphoranesThe diazaphosphasiletidines 3a-h can be synthesized from R2Si(NCR3Li)2 and Cl2PNR1R2 (1) as well as from (2) and MNR1R2 (R = CH3). At ambient temperature they show hindered rotation about the P—NR1R2 bond. 3g is separated as a pair of E/Z-rotamers, whose structure has been elucidated by NMR and X-ray analyses. The kinetically measured P—N rotation barriers (ΔG± ≍ 30 kcal · mol-1) are until now the highest that have been measured. The isomerization of 3g(E) → 3g(Z) (P—N) rotation, P inversion, or both) is a P—N rotation which has been established by the synthesis and the NMR spectroscopically measured rearrangement of (3i) (R = CH3, four isomers). The interaction of 3a-h with sulfur, selenium, and methyl iodide gives 4-6a-h. Below 0°C they all show hindered rotation about the P - NR1R2 bond. 4 and 5 are suitable for the study of the structure dependence of 1H NMR ASIS effects. The oxidation of 3g(E/Z) to the isomers 4g-6g(E/Z) occurs with retention of configuration. These compounds show significant differences with respect to their thermal stability and their reaction with methanol. The comparison of the ΔG± values of the P—N rotation barriers of 3-6 shows that the steric influence of the exo-amino substituents R1 and R2 is most important. The E/Z equilibrium of the unsymmetrically substituted compounds gives evidence that the two ground states of P—;N rotation are mostly influenced sterically, possible also electronically.
    Notes: Die Diazaphosphasiletidine 3a-h lassen sich aus R2Si(NCR3Li)2 und Cl2PNR1R2 (1) sowie aus (2) und MNR1R2 (R = CH3) darstellen. Sie weisen bei Raumtemperatur eine Rotationsbehinderung um die P—NR1R2-Bindung auf; 3g wird als E/Z-Rotamerenpaar getrennt und durch NMR- und Röntgenstrukturanalyse charakterisiert. Seine kinetisch ermittelten P—N-Rotationsbarrieren (ΔG± = ca. 30 kcal · mol-1) sind die bislang höchsten bestimmten Werte. Die Umlagerung von 3g(E) → 3g(Z) (P—N-Rotation, P-Inversion oder beides) ist eine P—N-Rotation, was durch Synthese und NMR-spektroskopische Verfolgung der Umlagerung des Isomerengemisches (3i) (R = CH3, vier Isomere) bewiesen wurde. Die Umsetzung von 3a-h mit Schwefel, Selen und Methyliodid ergibt 4-6a-h, die alle unterhalb 0°C eine Rotationsbehinderung um die P—NR1R2-Bindung aufweisen. 4 und 5 sind für das Studium der Strukturabhängigkeit von 1H-NMR-ASIS-Effekten geeignet. Die unter Konfigurationserhalt ablaufende Oxidation von 3g(E/Z) ergibt die Isomerenpaare 4g-6g(E/Z), die bemerkenswerte Unterschiede in bezug auf ihre Methanolyse- bzw. thermische Stabilität aufweisen. Der Vergleich der ΔG±-Werte für die P—N-Rotationsbarriere bei 3-6 zeigt, daß hier vorrangig der sterische Einfluß der exoständigen Aminosubstituenten R1, R2 verantwortlich ist. Aus den E/Z-Gleichgewichtslagen der unsymmetrisch substituierten Verbindungen erkennt man, daß auch die beiden Grundzustände der P—N-Rotation stark sterisch, möglicherweise aber auch elektronisch beeinflußt sind.
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  • 74
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2135-2140 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Fluorination Reactions at 3,4-Dichloro-1,2,5-thiadiazoleFrom the title compound 1 and KF in sulfolane 3-chloro-4-fluoro- (2) and 3,4-difluoro-1,2,5-thiadiazole (3) are obtained. In the reaction with oxidizing fluorinating agents, e. g. XeF2, BrF3, or AgF2, 2 is the primary product. Cleavage of the ring system at one of the S=N bonds gives the bifunctional ethane derivatives ClNCClCF2NSF2 (5), ClNCFCF2NSF2 (6), Cl2NCF2CF2NSF2 (7), and (=NCF2CF2NSF2)2 (8).
    Notes: Durch Umsetzung der Titelverbindung 1 mit KF in Sulfolan werden 3-Chlor-4-fluor-(2) und 3,4-Difluor-1,2,5-thiadiazol (3) erhalten. Die Reaktionen mit oxidierenden Fluorierungsmitteln wie XeF2, BrF3 oder AgF2 führen über 2 als Zwischenprodukt zur Spaltung des Ringsystems an einer der S=N-Bindungen. Dabei entstehen die bifunktionellen Ethanderivate CINCCICF2NSF2 (5), ClNCFCF2NSF2 (6), Cl2NCF2CF2NSF2 (7) und (=NCF2CF2NSF2)2 (8).
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  • 75
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    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2141-2152 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Cyclic Diazastannylenes, XIII. [SnN2(CH3)2]4 and [SnNCH(CH3)2]4, Molecules with Cubane-like Structures1,3-Di-tert-butyl-2,2-dimethyl-1,3,2,4λ2-diazasilastannetidine (1) reacts in benzene with N,N-dimethylhydrazine spontanously and with isopropylamine after warming shortly to yield N,N′-di-tert-butyl-Si,Si-dimethylsilazane (2) and the tetrameric molecules (SnN2Me2)4 (5) and (SnNCHMe2)4 (6). An X-ray structure determination (R = 0.026) proves 5 to be built of a very distorted Sn4N4-cube, the nitrogen atoms being attached to dimethylamino groups. In the crystal the molecules are linked together by Sn—Sn contacts (351 pm) forming a zick-zack band, which runs in the direction of the hexagonal axis. Typical Sn—N bond lengths are found to be 220.9 and 225.1 pm, while the mean N—N distance is 146.2 pm. When heated or by contact with oxygen the crystals of 5 decompose vehemently: the products are found to be β-tin, molecular nitrogen, and varying amounts of methane, ethane, and dimethylamine (by contact with oxygen small amounts of tin(II)-oxide are formed as well).
    Notes: 1,3-Di-tert-butyl-2,2-dimethyl-1,3,2,4λ2-diazasilastannetidin (1) reagiert in Benzol mit N,N-Dimethylhydrazin spontan und mit Isopropylamin nach kurzem Erwärmen zu N,N′-Di-tert-butyl-Si,Si-dimethylsilazan (2) und den Tetrameren (SnN2Me2)4 (5) und (SnNCHMe2)4 (6). Eine Röntgenstrukturbestimmung (R = 0.026) zeigt, daß 5 einen stark verzerrten Sn4N4-Kubus besitzt, an dessen Stickstoffatome Dimethylaminogruppen gebunden sind. Im Kristall sind die Moleküle über Sn—Sn-Kontakte (351 pm) zu einem Zickzack-Band verknüpft, das in Richtung der hexagonalen Achse verläuft. Typische Sn—N-Bindungslängen liegen bei 220.9 und 225.1 pm, während für N—N 146.2 pm ermittelt werden. Beim Erhitzen sowie bei Sauerstoffzufuhr zersetzen sich die Kristalle von 5 heftig: als Produkte erhält man β-Zinn, molekularen Stickstoff und in wechselnden Mengen Methan, Ethan und Dimethylamin (bei Sauerstoffeinwirkung auch geringe Mengen an Zinn(II)-oxid).
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  • 76
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2153-2174 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Phosphinomethyl-Komplexe des Zirconiums: Eine MO-Studie über Struktur-, Bindungs- und ReaktivitätsproblemeDie Elektronenstruktur und Geometrie gewinkelter Phosphinomethyl-Sandwichkomplexe von ZrIV und ZrIII wird mit Hilfe von Molekülorbital-Berechnungen untersucht. Fragmentorbital-Betrachtungen und störungstheoretische Argumente werden verwandt, um die ungewöhnliche experimentelle Struktur von Cp2ZrCl(CH2PPh2) (1) zu erklären. Der Einfluß verschiedener Faktoren auf einzähnige (η1) gegenüber zweizähniger (η2) Koordination eines Phosphinomethyl-Liganden in Zirconocenderivaten wird analysiert, eine verallgemeinernde Extrapolation auf andere Cp2M(X)()-Systeme (: potentiell ein- oder zweizähniger Ligand) ist möglich. Strukturelle und chemische Konsequenzen der Ein-Elektronen-Reduktion von 1 werden auf der Basis von MO-Berechnungen interpretiert. besitzt demnach einen η1-Phosphinomethylliganden und erweist sich als instabil gegenüber heterolytischer Abspaltung von Cl- oder CH2PPh2-. Die Berechnungen ergeben für die Grundzustandsstruktur von Cp2Zr(CH2PPh2) η2-Koordination der Phosphinomethylgruppe, diese Struktur ist konsistent mit dem beobachtbaren ESR-Spektrum des Reduktionsproduktes von 1.
    Notes: The electronic structure and geometry of bent sandwich phosphinomethyl complexes of ZrIV and ZrIII have been investigated by means of molecular orbital calculations. A fragment MO approach and perturbation arguments are utilized to explain the unusual experimental structure of Cp2ZrCl(CH2PPh2) (1). Various factors influencing monodentate (η1) vs. bidentate (η2) ligand coordination of a phosphinomethyl ligand in zirconocene derivatives are analyzed, allowing to extrapolate to other Cp2M(X)() systems (: potentially mono- or bidentate ligand) in general. Structural and chemical consequences of one electron reduction of 1 are interpreted on the basis of the MO calculations. is shown to possess an η1-phosphinomethyl ligand and to be unstable towards heterolytic loss of Cl- or CH2—PPh2-. The ground state structure of d1-Cp2Zr(CH2PPh2) is calculated to contain an η2-phosphinomethyl group, consistent with the observed ESR spectrum of the reduction product of 1.
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  • 77
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Cyclopropenes as Complex Ligands: Metal Induced Ring Opening and Carbonylation of a Bicyclopropenyl with Formation of a Tropone Derivative. The Crystal Structure of Tricarbonyl(4-7-η4-2,3,5,7-tetraphenyl-2,4,6-cycloheptatrien-1-one)-iron, (C6H2Ph4CO)Fe(CO)32,2′,3,3′-Tetraphenylbi-2-cyclopropen-1-yl (1) reacts with Fe2(CO)9 at room temperature to form (4-7-η4-2,3,5,7-tetraphenyl-2,4,6-cycloheptatrien-1-one)Fe(CO)3 (3). This unexpected transformation of a bicyclopropenyl derivative into a tropone complex involves the opening of both cyclopropene rings, insertion of CO, and ring closure. Oxidation with Cer(IV) yields the uncomplexed tropone derivative. The crystal structure of the title compound 3 has been determined.
    Notes: 2,2′,3,3′-Tetraphenylbi-2-cyclopropen-1-yl (1) und Fe2(CO)9 reagieren bei Raumtemperatur unter Bildung von (4-7-η4-2,3,5,7-Tetraphenyl-2,4,6-cycloheptatrien-1-on)Fe(CO)3 (3). Diese unerwartete Umlagerung eines Bicyclopropenyl-Derivats in einen Tropon-Komplex verläuft unter Öffnung beider Cyclopropen-Ringe, CO-Einschub und Ringschluß. Oxidation mit Cer(IV) liefert daraus das freie Tropon-Derivat. Die Kristallstruktur der Titelverbindung 3 wurde bestimmt.
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  • 78
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2192-2201 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Small Rings, 41. Oxirene: Intermediate or Transition State? Matrix Irradiation of DiazoketonesOn irradiation of diazoketones - even of those which do not undergo a Wolff rearrangement under standard conditions - in an argon matrix at 10 K oxirenes (or acylcarbenes) cannot be detected directly.
    Notes: Bei der Belichtung von Diazoketonen - auch von solchen, die unter Normalbedingungen keine Wolff-Umlagerung zeigen - in einer Argonmatrix bei 10 K können Oxirene (oder Acylcarbene) nicht direkt beobachtet werden.
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  • 79
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2202-2213 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Small Rings, 42. Attempts to Prepare Oxirenes via Photochemical CycloreversionsPhotochemically induced cycloreversions, which are ideally suited for the matrix isolation of cyclobutadienes, cannot be used for an analogous preparation and identification of oxirenes. In some cases ketenes are formed instead.
    Notes: Photochemisch induzierte Cycloreversionen, die sich bei der Matrixisolation von Cyclobutadienen bestens bewährt haben, lassen sich nicht auf eine analoge Erzeugung und den Nachweis von Oxirenen übertragen; stattdessen werden in einigen Fällen Ketene erhalten.
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  • 80
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 3618-3630 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Carbonyl Monoolefin Derivatives of the Group VI Transition Metals, III. Preparation and Reaction and Reactivity of Tricarbonyl Chelate Phosphane Olefin DerivativesMonoolefin complexes M(CO)3(R2PC2H4PR2)(ol) (M = Cr, Mo, W; R = CH3, C6H5; ol = maleic anhydride, dimethyl fumarate, dimethyl maleate, methyl acrylate, ethylene, styrene, norbornene) are obtained photochemically from the tetracarbonyl chelate phosphane derivatives. Facial complexes are formed primarily, some of which rearrange intramolecularly to the meridional isomers. The substitution of the olefin proceeds via a dissociative mechanism, the meridional isomers rearrange back to the facial ones prior to the rupture of the metal-olefin bond.
    Notes: Monoolefin-Komplexe M(CO)3(R2PC2H4PR2)(ol) (M = Cr, Mo, W; R = CH3, C6H5; ol = Maleinsäureanhydrid, Dimethylfumarat, Dimethylmaleat, Methylacrylat, Ethylen, Styrol, Norbornen) sind photochemisch aus den Tetracarbonyl-Chelatphosphan-Derivaten zugänglich. Es entstehen zunächst faciale Komplexe, die sich zum Teil rasch intramolekular in die meridionalen Isomeren umlagern. Die Substitution des Olefins verläuft nach einem dissoziativen Mechanismus, der Spaltung der Metall-Olefin-Bindung geht bei den meridionalen Derivaten die intramolekulare meridional-facial-Isomerisierung voraus.
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  • 81
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2181-2191 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Preparation, Structure, and Thermal Behaviour of (2-Chloroacyl)diphenylphosphanes - a New Pathway to ChloroketenesThe chlorinated acylphosphanes RC(O)—PPh2 (2a-f) are obtained by the reaction of the acyl chlorides RC(O)Cl (1a-f) with (CH3)3SiPPh2 in ether at -80°C. HCCl2C(O)—PPh2 (2c) crystallizes monoclinicly in the space group P21/c with Z = 8. As a result of steric caused electronic effects with increasing degree of chlorination in the series 2b → 2c → 2d a stepwise high field shift of the signals in the 31P{1H}-NMR spectra is observed. 2b-d,f are thermally labile and decompose with formation of ClPPh2 (3) and ketene at 80°C. The chloroketenes HCClCO (4) and CH3CClCO (5) are detected for the first time directly by means of their 13C NMR spectra. Between 0 and 40°C 2d also yields Cl3PPh2 (6). With cyclohexene or aniline 4 reacts to give the trapping products 8 and 9, respectively.
    Notes: Die chlorierten Acylphosphane RC(O)—PPh2 (2a-f) erhält man bei -80°C durch Umsetzung der Säurechloride RC(O)Cl (1a-f) mit (CH3)3SiPPh2 in Ether. HCCl2C(O)—PPh2 (2c) kristallisiert monoklin in der Raumgruppe P21/c mit Z = 8. Infolge sterisch bedingter elektronischer Effekte beobachtet man mit zunehmendem Chlorierungsgrad in der Reihe 2b ° 2c → 2d eine schrittweise Hochfeldverschiebung der Signale in den 31P{1H}-NMR-Spektren. 2b-d,f sind thermisch labil und zerfallen bei 80°C unter Bildung von ClPPh2 (3) und Keten. Die Chlorketene HCClCO (4) und CH3CClCO (5) konnten erstmals direkt durch ihre 13C-NMR-Spektren nachgewiesen werden. Zwischen 0 und 40°C liefert 2d auch Cl3PPh2 (6). Mit Cyclohexen oder Anilin reagiert 4 zu den Abfangprodukten 8 bzw. 9.
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  • 82
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2242-2255 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: 1,3-Dipolar Cycloadditions, 86. Aromatic Azoxy Compounds and Strained Cycloalkenes4,4′-Dicyano- and 4,4′-dinitroazoxybenzene as well as benzo[c]cinnoline N-oxide combine with (E)-cyclooctene or (1E, 5Z)-1,5-cyclooctadiene to give bicyclic 1,2,3-oxadiaxolidines which undergo in situ 1,3-dipolar cycloreversion with opening of both rings. Azomethine imines are formed which are connected by a hexamethylene chain with an aldehyde function. These new 1,3-dipoles add to a second molecule of the strained cycloalkene and furnish derivatives of cyclooctapyrazole as 1:2 adducts in high yields. A 1,4 H-shift of the intermediate azomethine imine competes at low concentration of the (E)-cyclooctene and produces an 8-hydrazino-7-octenal as a 1:1 product.
    Notes: 4,4′-Dicyan- und 4,4′-Dinitroazoxybenzol sowie Benzo[c]cinnolin-N-oxid vereinigen sich mit (E)-Cycloocten und (1E, 5Z)-1,5-Cyclooctadien zu bicyclischen 1,2,3-Oxadiazolidinen, die in situ unter Öffnung beider Ringe 1,3-dipolare Cycloreversion erleiden. Die entstehenden Azomethinimine, die über eine Hexamethylen-Kette mit einer Aldehydgruppe verbunden sind, addieren sich an ein zweites Molekül des gespannten Cycloalkens unter Bildung von Derivaten des Cyclooctapyrazols in hoher Ausbeute. Mit der Bildung dieser 1:2-Addukte konkurriert bei niedriger Konzentration des (E)-Cyclooctens eine 1,4-H-Verschiebung des intermediären Azomethin-imins, die zum Enhydrazin als 1:1-Produkt führt.
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  • 83
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2229-2241 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Steric Course of the Substitution at the Cyclopropane Skeleton by Cobal(I)oxime. Synthesis and Characterisation of Cyclopropylcobaloximes7,7-Dibromodibenzo[b,d]norcaradiene (1) as well as exo- and endo-7-bromodibenzo[b,d]norcaradiene (2a and b) were synthesized and reacted with cobal(I)oxime. (7-Bromodibenzo[b,d]norcaradien-7-yl)(pyridine)cobaloxime (5) was formed from 1 beside some (dibenzo[b,d]norcaradien-7-yl)(pyridine)cobaloxime (6) and (dibenzo[a,c]cycloheptatrien-6-yl)(pyridine)cobaloxime (4), whereas the reaction of 2a yielded 6 as the sole alkylcobaloxime. Under the same conditions 2b was inert. 4-6 were characterized by X-ray crystallography and spectroscopic methods. The substitution in 2a took place with retention, whereas the analogous substitution in the two enantiomeric 1-bromo-1-methyl-2,2-diphenylcyclopropanes (8a and b) occured with racemisation. This shows that the observed retention was caused merely by steric effects and that cyclopropyl radical intermediates occurred in both cases.
    Notes: 7,7-Dibromdibenzo[b,d]norcaradien (1) sowie exo- und endo-7-Bromdibenzo[b,d]norcaradien (2a und b) wurden synthetisiert und mit Cobal(I)oxim umgesetzt. Aus 1 erhielt man (7-Bromdibenzo[b,d]norcaradien-7-yl)(pyridin)cobaloxim (5) neben (Dibenzo[b,d]norcaradien-7-yl)(pyridin)cobaloxim (6) und (Dibenzo[a,c]cycloheptatrien-6-yl)(pyridin)cobaloxim (4), während aus 2a als einziges Alkylcobaloxim 6 gebildet wurde. 2b war unter denselben Reaktionsbedingungen inert. 4-6 wurden durch Röntgenstrukturanalyse und Spektren charakterisiert. Die Substitution an 2a erfolgte unter Retention, die analoge Substitution an den beiden enantiomeren 1-Brom-1-methyl-2,2-diphenylcyclopropanen (8a und b) dagegen unter Racemisierung. Dies zeigt, daß die im ersten Fall beobachtete Retention lediglich sterischen Effekten zuzuschreiben ist und in beiden Fällen eine freie Cyclopropyl-Radikal-Zwischenstufe auftritt.
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  • 84
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Antitumor Active cis-Platinum(II) Complexes with α-Amino Acid Esters and Peptide Esters. X-Ray Structure of cis-Dichlorobis(glycylglycine ethyl ester)platinum(II)A series of cis-platinum(II) complexes X2PtL2 (1-4) (X = halide, 2X = oxalate, malonate; L = α-amino acid ester, peptide ester) has been obtained from Pt42- and L. The dipeptide ester complexes are also accessible via peptide synthesis at the complex from Cl2Pt(NH2CHRCO2H)2 and α-amino acid esters using carbodiimide as coupling agent and the platinum atom as amino protecting group. The complexes Cl2PtL2 with α-amino acid ester ligands have also been prepared from the bis(chelate) compounds cis-Pt(NH2CHRCO2)2 and alcohol in the presence of HCl. The complexes have been characterized by their spectroscopic data, cis-Cl2Pt(GlyGlyOEt)2 (2a) by an X-ray analysis.
    Notes: Eine Reihe von cis-Platin(II)-Komplexen X2PtL2(1-4) (X = Halogenid, 2X = Oxalat, Malonat; L = α-Aminosäureester, Peptidester) wird aus PtX42- und L erhalten. Entsprechende Komplexe mit Dipeptidester-Liganden sind auch durch Peptidsynthese am Komplex aus Cl2Pt-(NH2CHRCO2H)2 und α-Aminosäureestern mit Carbodiimid als Kupplungskomponente und Platin als Aminoschutzgruppe zugänglich. Die Verbindungen Cl2PtL2 mit α-Aminosäureester-Liganden lassen sich auch aus den Bis(chelat)-Komplexen cis-Pt(NH2CHRCO2)2 und Alkohol in Gegenwart von HCl gewinnen. Die cis-Struktur der Verbindungen wurde spektroskopisch, die von Cl2Pt(GlyGlyOEt)2 (2a) durch Röntgenstrukturanalyse nachgewiesen.
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  • 85
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Konformation von Tetraaryl-3,7-diazabicyclo[3.3.1]nonanen und Tetra- und Pentaaryl-1,3-diazaadamantanen in Lösung. Eine NMR-StudieDie 1H-NMR-Spektren einer Reihe von Tetraaryl-3,7-diazabicyclo[3.3.1]nonanen 5-12 wurden mit Hilfe der Kern-Overhauser-Differenz-Spektroskopie zugeordnet. Aufgrund der NOE-Effekte und Spin-Gitter-Relaxationszeiten ließ sich zeigen, daß diese Moleküle die Sessel-Boot-Konformation einnehmen, wobei alle Arylgruppen äquatorial stehen. Diese Konformation und die Torsionswinkel der Arylgruppen ähneln denen, die im festen Zustand gefunden wurden. Analoge Untersuchungen wurden mit den Tetra- und Pentaaryl-1,3-diazaadamantanen 3, 4, 13 und 14 durchgeführt. Die beiden 1,3-diaxial orientierten Arylgruppen zeigen in diesen Systemen eine überraschend niedrige Rotationsbarriere (4b: δG298≠ = 42 kJ. mol-1). Die chemischen Verschiebungen in den 13C-NMR-Spektren aller Verbindungen werden mitgeteilt. Die der 3,7-Diazabicyclo[3.3.1]nonane 5-12 stehen im Einklang mit der vorgeschlagenen Sessel-Boot-Konformation. Das gleiche gilt für die chemischen Verschiebungen in den 15N-NMR-Spektren und die 13C-15N-Kopplungskonstanten. Die Reduktion des 4,8,9,10-Tetrakis(3,5-dimethylphenyl)-1,3-diaza-6-adamantanons (4b) führt stereoselektiv zum Alkohol 15, der sich säurekatalysiert leicht in 16 umlagert, den ersten Vertreter des 9-Oxa-1,5-diazatricyclo[5.3.1.03,8]undecan-Ringsystems.
    Notes: The proton NMR spectra of a series of tetraaryl-3,7-diazabicyclo[3.3.1]nonanes, 5-12, have been assigned with the aid of nuclear Overhauser difference spectroscopy. The NOE's together with spin lattice relaxation times have been used to show that these molecules adopt the chair-boat conformation with all aryl groups being equatorial. This conformation and the torsional angles of the aryl groups are similar to those found in the solid state. Analogous studies have been carried out with tetra- and pentaaryl-1,3-diazaadamantanes, 3, 4, 13, and 14. A surprisingly low barrier of rotation (4b: δG298≠ = 42 kJ. mol-1) has been found for the two 1,3-diaxially oriented aryl groups in these systems. Carbon-13 chemical shift data are reported for the above compounds. Those of the 3,7-diazabicyclononanes 5-12 are found to be consistent with the proposed chair-boat conformation. Nitrogen-15 chemical shift data and 13C-15N coupling constants are also in accord with this conformation. A stereoselective reduction of 4,8,9,10-tetrakis(3,5-dimethylphenyl)-1,3-diaza-6-adamantanone (4b) to the corresponding alcohol 15 and the ready acidcatalyzed rearrangement of this alcohol to 16, the first example of the 9-oxa-1,5-diazatricyclo-[5.3.1.03,8]undecane ring system, is described.
    Additional Material: 7 Ill.
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  • 86
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    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2865-2871 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Internal Mobility in the Ion Pairs during Aromatic Rearrangement of O-Sulfonyl-N-phenylhydroxylaminesIn the rearrangement of O-alkyl- or O-arylsulfonyl-N-benzoyl-N-phenylhydroxylamines 3 to aminophenols 4, the internal mobility in the ion pair intermediates depends both on the size of the alkyl groups and on the interaction with the protic solvent, as was shown by 18O labeled educts.
    Notes: Bei der Umlagerung von O-Alkyl- bzw. O-Arylsulfonyl-N-benzoyl-N-phenylhydroxylaminen 3 in Aminophenole 4 wird durch 18O-Indizierung gezeigt, daß die Beweglichkeit in den intermediär gebildeten Ionenpaaren durch große Alkylreste sowie durch Wechselwirkung mit einem protischen Lösungsmittel in typischer Weise verändert wird.
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  • 87
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2927-2934 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Soluble Perylene Fluorescent Dyes with High PhotostabilityThe preparation of several 3,4,9,10-perylenebis(dicarboximides) 1 is described and their photostability quantitatively determined and discussed. It is shown, that substitution of the insoluble perylene dye pigments with tert-butyl groups causes solubility in organic solvents leading to high quantum yields of these dyes.
    Notes: Die Darstellung einer Reihe von 3,4,9,10-Perylentetracarbonsäurediimiden 1 wird beschrieben und deren Lichtechtheit quantitativ untersucht und diskutiert. Es läß sich zeigen, daß durch Einführung von tert-Butyl-Substituenten die als sehr schwerlöslich bekannten Perylen-Pigmentfarbstoffe in organischen Solventien leicht löslich werden und mit hohen Quantenausbeuten fluoreszieren.
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  • 88
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Studies on the Reactivity of Metal π-Complexes, XXXVI. Dinuclear Sandwich Complexes Containing a Metal-Metal Bond: Synthesis and Structure of (μ-C5H5)2Pd2(PR3)2The complexes (C5H5)2Pd2(PR3)2 (1-6) are prepared by reduction of C5H5Pd(PR3)OCOCH3 with NaK2.8 or in a one-pot synthesis by reaction of [(PR3)PdCl]2(μ-OCOCH3)2 with 4 equivalents TlC5H5. The triphenyl phosphite complex (C5H5)2Pd2[P(OPh)3]2 (7) is obtained from [P(OPh)3PdCl2]2 and TlC5H5. The X-ray structure analysis of (C5H5)2Pd2(PEt3)2 (5) shows that the two planar cyclopentadienyl ligands are coordinated sandwich-like to the Pd2(PR3)2 unit; according to the bond angle P—Pd—Pd = 175.45° the P—Pd—Pd—P arrangement is nearly linear. The different C—C distances in the five-membered rings point to the presence of an „allyl-ene“ system and thus to a trihapto- (h3) coordination of the C5H5 ligands.
    Notes: Die Komplexe (C5H5)2Pd2(PR3)2 (1-6) sind durch Reduktion von C5H5Pd(PR3)OCOCH3 mit NaK2.8 oder in einer Eintopfsynthese durch Umsetzung von [(PR3)PdCl]2(μ-OCOCH3)2 mit 4 äquivalenten TlC5H5 erhältlich. Der Triphenylphosphit-Komplex (C5H5)2Pd2[P(OPh)3]2 (7) entsteht aus [P(OPh)3Pdl2]2 und TlC5H5. Die Röntgenstrukturanalyse von (C5H5)2Pd2(PEt3)2 (5) zeigt, daß die beiden planaren Cyclopentadienylliganden sandwich-artig an die Pd2(PR3)2-Einheit koordiniert sind; die Anordnung P—Pd—Pd—P ist mit einem Bindungswinkel P—Pd—Pd von 175.45° nahezu linear. Die unterschiedlichen C—C-Abstände in den Fünfringen weisen auf das Vorliegen eines „allyl-ene“-Systems und damit auf eine trihapto- (h3)-Koordination der C5H5-Liganden hin.
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  • 89
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Studies on the Reactivity of Metal π-Complexes, XXXVII. Bridge-Exchange Reactions with Dinuclear μ-(Cyclopentadienyl)-dipalladium Complexes: Synthesis of Sandwich-like Heterometallic Pd2Cr and Pd2Mo ClustersThe dimetal sandwich complexes (C5H5)2Pd2(PR3)2 (I) react with carboxylic acids R'CO2H and thiols R'SH by exchanging one cyclopentadienyl bridge to yield the compounds (C5H5)(OCOR')-Pd2(PR3)2 (1-6) and (C5H5)(SR')Pd2(PR3)2 (7-12). Displacement of the cyclopentadienyl and not of the allyl ligand also occurs in the reactions of (C5H5)(2-RC3H4)Pd2[P(iPr)3]2 (II) with R'CO2H and R'SH with formation of the dinuclear μ-(allyl)-dipalladium compounds (2-RC3H4)-(OCOR')Pd2[P(iPr)3]2 (13-23) and (2-RC3H4)(SR')Pd2[P(iPr)3)2 (24-27). The reaction of (C5H5)-(2-MeC3H4)Pd2(P(iPr)3]2 (IIa) with terephthalic acid leads to the tetranuclear complex 28. The trinuclear heterometallic clusters 29, 30 are obtained by bridge-exchange starting from (C5H5)(OCO-tBu)Pd2[P(iPr)3]2 (4) and Na[C5H5Cr(CO)3] or Na[C5H5Mo(CO)3], respectively.
    Notes: Die Dimetall-Sandwichkomplexe (C5H5)2Pd2(PR3)2 (I) reagieren mit Carbonsäuren R'CO2H und Thiolen R'SH unter Austausch einer Cyclopentadienyl-Brücke zu den Verbindungen (C5H5)-(OCOR')Pd2(PR3)2 (1-6) und (C5H5)(SR')Pd2(PR3)2 (7-12). Bei den Umsetzungen der Komplexe (C5H5)(2-RC3H4)Pd2[P(iPr)3]2 (II) mit R'CO2H und R'SH wird ebenfalls der Cyclopentadienyl- und nicht der Allyl-Ligand verdrängt, so daß die zweikernigen μ-(Allyl)-dipalladium-Verbindungen (2-RC3H4)(OCOR')Pd2[P(iPr)3]2 (13-23) und (2-RC3H4)(SR')Pd2[P(iPr)3]2 (24-27) entstehen. Die Reaktion von (C5H5)(2-MeC3H4)Pd2[P(iPr)3]2 (IIa) mit Terephthalsäure führt zu dem Vierkernkomplex 28. Durch Brückenaustausch sind aus (C5H5)(OCO-tBu)Pd2[P(iPr)3]2 (4) und Na[C5H5Cr(CO)3] bzw. Na[C5H5Mo(CO)3] die dreikernigen heterometallischen Cluster 29, 30 zugänglich.
    Additional Material: 3 Tab.
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  • 90
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    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2965-2980 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Investigations on Diazo Compounds and Azides, XLII. (Diazomethyl)cyclopropenes by Electrophilic Diazoalkane SubstitutionThe (diazomethyl)cyclopropenes 9 and 10 are formed via electrophilic diazoalkane substitution preferably of diazomethylphosphoryl compounds with cyclopropenylium salts. Either the diazomethyl compounds (7a-c) react with the cyclopropenylium salts 6a-e in the presence of triethylamine (method A) or the metallated diazo compounds 8a-d are combined with the cyclopropenylium bromides 6c-e (method B) (details see table 1). The (diazomethyl)cyclopropenes undergo a novel type of isomerization to pyridazines, partly without heating (9d-f → 11b-d), partly by refluxing in toluene (9a,g → 11a,e as well as 10e,f → 12a,b). The bicyclic betaines 15 and 17 are supposed to be intermediates. The diazomethyl compounds 9a and b yield the α,β- unsaturated ketones 20a and b by acid-catalyzed decomposition.
    Notes: Die (Diazomethyl)cyclopropene 9 und 10 entstehen durch elektrophile Substitution vorzugsweise von Diazomethylphosphorylverbindungen mit Cyclopropenyliumsalzen. Man setzt entweder die Diazomethylverbindungen selbst (7a-c) in Gegenwart von Triethylamin mit den Cyclopropenyliumsalzen 6a-e um (Methode A) oder läßt die metallierten Diazoverbindungen 8a-d mit den Cyclopropenyliumbromiden 6c-e reagieren (Methode B) (Details s. Tab. 1). Die (Diazomethyl)-cyclopropene gehen teils ohne Erwärmen (9d-f → 11b-d), teils beim Erhitzen in Toluol (9a,g → 11a,e sowie 10e,f → 12a,b) eine neuartige Isomerisierung zu Pyridazinen ein; Zwischenstufen sind vermutlich die bicyclischen Betaine 15 und 17. Die Diazomethylverbindungen 9a und b liefern bei der säurekatalysierten Zersetzung die α,β-ungesättigten Ketone 20a und b.
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  • 91
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 2981-2996 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Structural Chemical Investigations on Compounds with Formal , and Heteroallene UnitsX-ray structures and syntheses of an (alkylidenamino)sulfonium salt (8), of an (alkylidenamino)-phosphonium salt (9c), and of a sulfimidophosphonium salt (10) are reported. These compounds which can formally be regarded as heteroallenes , , and , resp., are bent pseudoallenes in the crystal. The C—N—S bond angle of 8 is 118°. The positive charge is located on sulfur. According to 13C DNMR measurements 8 is bent also in solution. The bond angle of the C—N—P unit in solid 9c is 128°. The positive charge is delocalized between P and N. The activation energy of the geometrical isomerization around the C=N double bond in 9a, e in solution has been measured by dynamic 13C NMR spectroscopy to be ΔGTc≠ = 32.5 and 30.6 ± 1 kJmol-1, respectively. The S—N—P bond angle in 10 is 124°. The positive charge is delocalized between S and P.
    Notes: Es werden Synthesen und Röntgenstrukturanalysen eines (Alkylidenamino)sulfoniumsalzes (8), eines (Alkylidenamino)phosphoniumsalzes (9c) und eines Sulfimidophosphoniumsalzes (10) beschrieben. Diese als Heteroallene , bzw. formulierbaren Verbindungen sind im Kristall alle gewinkelte Pseudoallene. Verbindung 8 zeigt einen C-N-S-Bindungswinkel von 118°. Die positive Ladung ist am Schwefel lokalisiert. Nach 13C-DNMR-Messungen liegt 8 auch in Lösung gewinkelt vor. Der Bindungswinkel der C—N—P-Einheit in 9c beträgt im Kristall 128°. Die positive Ladung ist zwischen P und N delokalisiert. Für die Aktivierungsenergie der geometrischen Isomerisierung um die C=N-Doppelbindung in 9a, e werden in Lösung aus temperaturabhängigen 13C-NMR-Spektren δGTc≠ = 32.5 bzw. 30.6 ± 1 kJmol-1 gemessen. Der S—N—P-Bindungswinkel in 10 beträgt 124°. Die positive Ladung ist zwischen S und P delokalisiert.
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  • 92
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Transition Metal Carbene Complexes, CXXIV. Mono- and Binuclear Biscarbene Complexes of Chromium, Molybdenum, and Tungsten and their Reaction with Boron TrihalidesThe reaction of p-phenylenedilithium with hexacarbonylchromium and -tungsten and subsequent alkylation by triethyloxonium tetrafluoroborate yields μ-[p-phenylenebis[(ethoxy)carbene]]-bis-(pentacarbonylmetal) complexes (CO)5MC(OEt)-p-C6H4-(OEt)CM(CO)5 (M = Cr (3a), W (3b)) as well as the mononuclear carbene complexes 4a and 4b. The analogous reaction of o-phenylenedilithium with metalhexacarbonyls of the VI. subgroup affords the expected mononuclear 1,4-chelated biscarbene complexes (M = Cr (5a), Mo (5b), W (5c)), while 1,2-dilithio-1,2-diphenylethane gives a mixture of mononuclear (M = Cr (6a), W (6b)) and binuclear (CO)5MC(OEt)CH(Ph)CH(Ph)-(OEt)CM(CO)5 (M = Cr (7a), W (7b)) biscarbene complexes. The aminolysis of 5a - c with dimethylamine leads to cis-tetracarbonyl[o-phenylenebis[(dimethylamino)carbene]] compounds of chromium, molybdenum, and tungsten (8a - c). 3a, b and 4a, b react with boron trihalides BX3 to form the corresponding trans-halogenocarbyne complexes 9a, b and 10a - c. Properties, spectra, and the results of an X-ray structure analysis of 9b are reported.
    Notes: Die Umsetzung von p-Phenylendilithium mit Hexacarbonylchrom und -wolfram und anschließende Alkylierung mit Triethyloxonium-tetrafluoroborat ergibt μ-[p-Phenylenbis[(ethoxy)carben]]-bis(pentacarbonylmetall)-Komplexe (CO)5MC(OEt)-p-C6H4-(OEt)CM(CO)5 (M = Cr (3a), W (3b)), sowie die einkernigen Carbenkomplexe 4a und 4b. Die analoge Reaktion von o-Phenylendilithium mit Metallhexacarbonylen der VI. Nebengruppe ergibt die erwarteten einkernigen, 1,4-chelatisierten Biscarbenkomplexe (M = Cr (5a), Mo (5b), W (5c)), während 1,2-Dilithio-1,2-diphenylethan ein Gemisch von einkernigen (M = Cr (6a), W (6b)) und zweikernigen (CO)5MC(OEt)CH(Ph)CH(Ph)(OEt)CM(CO)5 (M = Cr (7a), W (7b)) Biscarben-Komplexen liefert. Die Aminolyse von 5a-c mit Dimethylamin führt zu cis-Tetracarbonyl[o-phenylenbis[(dimethylamino)carben]]-Verbindungen von Chrom, Molybdän und Wolfram (8a-c-). 3a, b und 4a, b reagieren mit Bortrihalogeniden BX3 unter Bildung der entsprechenden trans-Halogenocarbin-Komplexe 9a, b und 10a-c. Eigenschaften, Spektren und die Ergebnisse einer Röntgenstrukturuntersuchung an 9b werden beschrieben.
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  • 93
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 3032-3041 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Introduction of Oxygen Functions into the α-Position of β-Diketones, 8 Ozonolysis of Sulfonium Ylides(Dimethylsulfonio)diacylmethanides 1, prepared by known methods, are cleaved by equimolar amounts of ozone in aprotic medium yielding vicinal triketones 2 and DMSO. Peroxydic reaction products are not detectable.
    Notes: Auf bekannte Weise leicht zugängliche (Dimethylsulfonio)diacylmethanide 1 lassen sich in aprotischem Medium durch äquimolare Mengen Ozon zu vicinalen Triketonen 2 und DMSO spalten. Peroxidische Reaktionsprodukte sind nicht nachweisbar.
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  • 94
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 3025-3031 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Adducts of Lewis Acids with 1,2,4λ4,3,5-Trithiadiazole 1-OxideThe tittle compound 1 reacts with the Lewis acids SnCl4 and TiCl4 to yield the 2:1 adducts 1a and b and with AsF5 and SbF5 to form the 1:1 adducts 1c and d. According to the vibrational spectra and an X-ray analysis of 1a the coordination occurs via the oxygen atom. The ligands of 1a and b have cis-configuration. 1a crystallizes in the monoclinic space group P21.
    Notes: Die Titelverbindung 1 reagiert mit den Lewis-Säuren SnCL4 und TiCl4 zu den 2:1-Addukten 1a und b und mit AsF5 und SbF5 zu den 1:1-Addukten 1c und d. Nach den Schwingungsspektren und einer Röntgenstrukturanalyse von 1a erfolgt die Koordination über das Sauerstoffatom, und die Liganden in 1a und b haben cis-Konfiguration. 1a kristallisiert in der monoklinen Raumgruppe P21.
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  • 95
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Contributions to the Chemistry of Boron, 128. Investigations on Substituent Exchange Reactions using 10B Labelling: Reactions of 1,3,2-Dithiaborolanes and Related Heterocycles with Boron TribromideThe formation of the bromo derivatives from methylated dithiaza- (3) and thiadiazadiborolidines (6) and BBr3 follows the endocyclic reaction mechanism. This holds also for the substituent exchange between some 2-bromo- (9) and 2-(dialkylamino)-1,3,2-dithiaborolanes (15, 18) as demonstrated by the use of 10BBr3. An addition of BBr3 to one of the ring sulfur atoms preceeds the substitution process. Some of these adducts were isolated and the equilibrium constants of the adduct formation were determined. 3,5-Bis(diisopropylamino)-1,2,4,3,5-trithiadiborolane (22) forms also an S-adduct with 10BBr3 (23). The substituent exchange proceeds endocyclically while the same reaction involving the 3,5-bis(dimethylamino) derivative follows the exocyclic route.
    Notes: Die Überführung der methylierten Dithiaza- (3) und Thiadiazadiborolidine (6) in die Brom-Derivate mit BBr3 folgt dem endocyclischen Substitutionsmechanismus. Gleiches gilt für den Substituentenaustausch zwischen einigen 2-Brom- (9) und 2-(Dialkylamino)-1,3,2-dithiaborolanen (15, 18), wie Umsetzungen mit 10BBr3 zeigen. Dem Substitutionsprozeß geht eine Addition des BBr3 an ein Ring-Schwefelatom voraus. Einige dieser Addukte wurden isoliert und die Gleichgewichtskonstanten der Adduktbildung bestimmt. Auch 3,5-Bis(diisopropylamino)-1,2,4,3,5-trithiadiborolan (22) bildet mit 10BBr3 ein S-Addukt (23). Dies führt zur endocyclischen Substitution, während der analoge Substitutionsprozeß bei dem 3,5-Bis(dimethylamino)-Derivat exocyclisch abläuft.
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  • 96
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 3049-3062 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Transition Metal Fulvene Complexes, XX. Carbonyl Metal Complexes with Dimeric Fulvene LigandsThe synthesis and structure of four complexes (3a, 7, 9, 10) with dimeric fulvene ligands are reported. The compounds are formed in low yields by reaction of unsubstituted fulvene with Fe2(CO)9 (3a), of 6,6-diethylfulvene with Fe2(CO)9 (7), and of 6,6-bis(methylthio)fulvene with (CH3CN)3Mo(CO)3 (9 and 10), respectively. Moreover the structure of dimeric dimethylfulvene (11) has been determined by X-ray diffraction.
    Notes: Es wird über die Synthese und Struktur von vier Komplexen (3a, 7, 9, 10) mit dimeren Fulvenliganden berichtet. Die Verbindungen entstehen in geringer Ausbeute bei der Reaktion von unsubstituiertem Fulven mit Fe2(CO)9 (3a), von 6,6-Diethylfulven mit Fe2(CO)9 (7) bzw. von 6,6-Bis(methylthio)fulven mit (CH3CN)3Mo(CO)3 (9 und 10). Zusätzlich wurde die Struktur des dimeren Dimethylfulvens (11) röntgenographisch bestimmt.
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  • 97
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    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 3042-3048 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Preparative Optical Resolution of Axial- and Planar-chiral Benzene Derivatives, Metallocenes, and Methanoaza[10]annulenes by Medium Pressure Chromatography on TriacetylcelluloseMedium pressure chromatography (at 4-6 bar and 6-40°C) on specially prepared triacetylcellulose in ethanol (or ether) renders possible an efficient preparative optical resolution of chiral benzene derivatives, (benzene)tricarbonylchromium complexes (benchrotrenes), ferrocenes, and azaannulenes. The method is presented for 15 selected examples such as 1,3-diferrocenyl-1,3-diphenylallene (1), 2,2′-spirobiindanes (2, 3), biphenyl derivatives (4-8) and their tricarbonylchromium complexes (9-11), [2.2]metacyclophanes (12-14) and 2,7-methanoaza[10]annulenes (15, 16) as well as for Troeger's base. In ten cases a quantitative separation of the enantiomers and in two an appr. 80 percent enantiomeric enrichment was achieved whereas for three compounds only a partial resolution took place.
    Notes: Mitteldruckchromatographie (bei 4-6 bar und 6-40°C) an speziell präparierter Triacetylcellulose in Ethanol (oder Ether) ermöglicht eine effiziente präparative Enantiomerentrennung chiraler Benzolderivate, (Benzol)tricarbonylchrom-Komplexe (Benchrotrene), Ferrocenderivate und Azaannulene. Die Methode wird an 15 ausgewählten Beispielen wie 1,3-Diferrocenyl-1,3-diphenylallen (1), 2,2′-Spirobiindanen (2, 3), Biphenylderivaten (4-8) und ihren Tricarbonylchrom-Komplexen (9-11), [2.2]Metacyclophanen (12-14) und 2,7-Methanoaza[10]annulenen (15, 16) sowie an der Trögerschen Base präsentiert. In zehn Fällen gelang eine quantitative Enantiomerentrennung, in zwei erfolgte eine etwa 80prozentige enantiomere Anreicherung und bei drei Verbindungen konnte partielle Trennung erzielt werden.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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  • 98
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 3063-3068 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Thioacyl Isocyanates, XVIII. Reaction of Ethoxy(thiocarbonyl) Isocyanate with Aldehydes and Ketones to 1,3,5-Oxathiazinones[4 + 2]-Cycloaddition of ethoxy(thiocarbonyl) isocyanate with aldehydes and some ketones affords the oxathiazinones 3. α,β-Unsaturated aldehydes react in the same way, that means with maintenance of their multiple CC-bond. These facts differentiate the thioacyl isocyanates from acyl isocyanates as well as from unpolar dienes.
    Notes: Ethoxy(thiocarbonyl)-isocyanat addiert nach dem [4 + 2]-Prinzip Aldehyde und manche Ketone zu den Oxathiazinonen 3. Auch α,β-ungesättigte Aldehyde reagieren entsprechend, d. h. unter Erhaltung ihrer CC-Mehrfachbindung. Diese Verhaltensweisen unterscheiden die Thioacyl-isocyanate charakteristisch sowohl von Acyl-isocyanaten als auch von unpolaren Dienen.
    Type of Medium: Electronic Resource
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  • 99
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Cycloaddition Reactions of Organometal Complexes, I. The Synthesis of Four-membered Metalla-Heterocycles by [2 + 2] Cycloaddition of (Isonitrile)-cobalt Complexes and Isocyanates or IsothiocyanatesThe reaction of C5H5(PMe3)CoCNR (R = Me, Ph) with isocyanates OCNR' (R' = Me, Ph) leads to the metalla-heterocycles in nearly quantitative yields. The analogous four-membered ring compounds (4-6) are obtained from C5H5(PMe3)CoCNR (R = Me, Ph, c-C6H11) and SCNMe. In the reactions of C5H5(PMe3)CoCNtBu with SCNMe and of C5H5(PMe3)CoCNMe with SCNtBu the complex (4) is also formed. The X-ray structure analyses of 4 and 5 show the presence of planar four-membered CoCNC rings together with a trigonal-planar coordination of the corresponding C, N and C ring atoms. The protonation and methylation reactions of the metalla-heterocycles 1-5 yield diaminocarbene complexes, in most cases by preserving the four-membered CoCNC-ring. The structure of these complexes is discussed on the basis of their IR and NMR data.
    Notes: Die Reaktion von C5H5(PMe3)CoCNR (R = Me, Ph) mit Isocyanaten OCNR' (R' = Me, Ph) führt nahezu quantitativ zu den Metalla-Heterocyclen (1-3). Die analogen Vierring-Verbindungen (4-6) sind ausgehend von C5H5(PMe3)CoCNR (R = Me, Ph, c-C6H11) und SCNMe zugänglich. Bei den Umsetzungen von C5H5(PMe3)CoCNtBu mit SCNMe und von C5H5(PMe3)CoCNMe mit SCNtBu bildet sich ebenfalls der Komplex (4). Die Röntgenstrukturanalysen von 4 und 5 beweisen das Vorliegen planarer CoCNC-Vierringe mit ebenfalls trigonal-planar koordinierten C-, N- und C-Atomen. Die Protonierungs- und Methylierungsreaktionen der Metalla-Heterocyclen 1-5 ergeben -- in den meisten Fällen unter Erhalt der CoCNC-Vierringstruktur - Diaminocarben-Komplexe. Ihre Struktur wird anhand der IR- und NMR-Daten diskutiert.
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
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  • 100
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Berichte der deutschen chemischen Gesellschaft 115 (1982), S. 3107-3114 
    ISSN: 0009-2940
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Thiono and Dithio Esters, XXX. Reactions of Isocyanides with ThiooxalatesDimethyl tetrathiooxalate (1) reacts with all isocyanides 2 investigated to form 2-imino-1,3-dithioles 4 in high yield. Complex mixtures of products, however, are obtained from O,O-dimethyl dithiooxalate (5) and isocyanides. The main product is always the 1,3-thiazetidine 7, by-products are the azetidinethiones 8 and the 3,3′-biazetidine-2,2′-dithiones 6.
    Notes: Tetrathiooxalsäure-dimethylester (1) bildet mit allen untersuchten Isocyaniden 2 in einheitlicher Reaktion die 2-Imino-1,3-dithiole 4. Komplexe Produktgemische entstehen hingegen bei der Umsetzung von Dithiooxalsäure-O, O-dimethylester (5) mit Isocyaniden. Hauptprodukt ist stets das 1,3-Thiazetidin 7, Nebenprodukte sind die Azetidinthione 8 und 3,3′-Biazetidin-2,2′-dithione 6.
    Type of Medium: Electronic Resource
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