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  • 2005-2009  (25)
  • 2000-2004
  • 1940-1944
  • 1925-1929
  • 1920-1924  (750)
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  • 1
    Publication Date: 2020-08-05
    Description: This article is about the optimal track allocation problem (OPTRA) to find, in a given railway network, a conflict free set of train routes of maximum value. We study two types of integer programming formulations: a standard formulation that models block conflicts in terms of packing constraints, and a new extended formulation that is based on additional configuration' variables. We show that the packing constraints in the standard formulation stem from an interval graph, and that they can be separated in polynomial time. It follows that the LP relaxation of a strong version of this model, including all clique inequalities from block conflicts, can be solved in polynomial time. We prove that the extended formulation produces the same LP bound, and that it can also be computed with this model in polynomial time. Albeit the two formulations are in this sense equivalent, the extended formulation has advantages from a computational point of view, because it features a constant number of rows and is therefore amenable to standard column generation techniques. Results of an empirical model comparison on mesoscopic data for the Hannover-Fulda-Kassel region of the German long distance railway network are reported.
    Keywords: ddc:000
    Language: English
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  • 2
    Publication Date: 2016-06-09
    Description: We study barrier methods for state constrained optimal control problems with PDEs. In the focus of our analysis is the path of minimizers of the barrier subproblems with the aim to provide a solid theoretical basis for function space oriented path-following algorithms. We establish results on existence, continuity and convergence of this path. Moreover, we consider the structure of barrier subdifferentials, which play the role of dual variables.
    Keywords: ddc:000
    Language: English
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  • 3
    Publication Date: 2016-06-09
    Description: For the treatment of equilibrated molecular systems in a heat bath we propose a transition state theory that is based on conformation dynamics. In general, a set-based discretization of a Markov operator ${\cal P}^\tau$ does not preserve the Markov property. In this article, we propose a discretization method which is based on a Galerkin approach. This discretization method preserves the Markov property of the operator and can be interpreted as a decomposition of the state space into (fuzzy) sets. The conformation-based transition state theory presented here can be seen as a first step in conformation dynamics towards the computation of essential dynamical properties of molecular systems without time-consuming molecular dynamics simulations.
    Keywords: ddc:000
    Language: English
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  • 4
    Publication Date: 2021-01-22
    Description: We present a middleware to store multidimensional data sets on Internet-scale distributed systems and to efficiently perform range queries on them. Our structured overlay network \emph{SONAR (Structured Overlay Network with Arbitrary Range queries)} puts keys which are adjacent in the key space on logically adjacent nodes in the overlay and is thereby able to process multidimensional range queries with a single logarithmic data lookup and local forwarding. The specified ranges may have arbitrary shapes like rectangles, circles, spheres or polygons. Empirical results demonstrate the routing performance of SONAR on several data sets, ranging from real-world data to artificially constructed worst case distributions. We study the quality of SONAR's routing information which is based on local knowledge only and measure the indegree of the overlay nodes to find potential hot spots in the routing process. We show that SONAR's routing table is self-adjusting, even under extreme situations, keeping always a maximum of $\lceil \log N \rceil$ routing entries.
    Keywords: ddc:000
    Language: English
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  • 5
    Publication Date: 2016-06-09
    Description: \begin{abstract} In systems biology, the stochastic description of biochemical reaction kinetics is increasingly being employed to model gene regulatory networks and signalling pathways. Mathematically speaking, such models require the numerical solution of the underlying evolution equat ion, also known as the chemical master equation (CME). Up to now, the CME has almost exclusively been treated by Monte-Carlo techniques, the most prominent of which is the simulation algorithm suggest ed by Gillespie in 1976. Since this algorithm requires an update for each single reaction event, realizations can be computationally very costly. As an alternative, we here propose a novel approach, which focuses on the discrete partial differential equation (PDE) structure of the CME and thus allows to adopt ideas from adaptive discrete Galerkin methods (as designed by two of the present authors in 1989), which have proven to be highly efficient in the mathematical modelling of polyreaction kinetics. Among the two different options of discretizing the CME as a discrete PDE, the method of lines approach (first space, then time) and the Rothe method (first time, then space), we select the latter one for clear theoretical and algorithmic reasons. First numeric al experiments at a challenging model problem illustrate the promising features of the proposed method and, at the same time, indicate lines of necessary further research. \end{abstract}
    Keywords: ddc:000
    Language: English
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  • 6
    Publication Date: 2014-02-26
    Description: Chvatal-Gomory cuts are among the most well-known classes of cutting planes for general integer linear programs (ILPs). In case the constraint multipliers are either 0 or $\frac{1}{2}$, such cuts are known as $\{0,\frac{1}{2}\}$-cuts. It has been proven by Caprara and Fischetti (1996) that separation of $\{0,\frac{1}{2}\}$-cuts is NP-hard. In this paper, we study ways to separate $\{0,\frac{1}{2}\}$-cuts effectively in practice. We propose a range of preprocessing rules to reduce the size of the separation problem. The core of the preprocessing builds a Gaussian elimination-like procedure. To separate the most violated $\{0,\frac{1}{2}\}$-cut, we formulate the (reduced) problem as integer linear program. Some simple heuristic separation routines complete the algorithmic framework. Computational experiments on benchmark instances show that the combination of preprocessing with exact and/or heuristic separation is a very vital idea to generate strong generic cutting planes for integer linear programs and to reduce the overall computation times of state-of-the-art ILP-solvers.
    Keywords: ddc:000
    Language: English
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  • 7
    Publication Date: 2014-02-26
    Description: In this paper a Godunov-type projection method for computing approximate solutions of the zero Froude number (incompressible) shallow water equations is presented. It is second-order accurate and locally conserves height (mass) and momentum. To enforce the underlying divergence constraint on the velocity field, the predicted numerical fluxes, computed with a standard second order method for hyperbolic conservation laws, are corrected in two steps. First, a MAC-type projection adjusts the advective velocity divergence. In a second projection step, additional momentum flux corrections are computed to obtain new time level cell-centered velocities, which satisfy another discrete version of the divergence constraint. The scheme features an exact and stable second projection. It is obtained by a Petrov-Galerkin finite element ansatz with piecewise bilinear trial functions for the unknown incompressible height and piecewise constant test functions. The stability of the projection is proved using the theory of generalized mixed finite elements, which goes back to Nicola{\"i}des (1982). In order to do so, the validity of three different inf-sup conditions has to be shown. Since the zero Froude number shallow water equations have the same mathematical structure as the incompressible Euler equations of isentropic gas dynamics, the method can be easily transfered to the computation of incompressible variable density flow problems.
    Keywords: ddc:000
    Language: English
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  • 8
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    Publication Date: 2019-10-24
    Keywords: ddc:000
    Language: German
    Type: annualzib , doc-type:report
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  • 9
    Publication Date: 2020-12-15
    Description: We provide information on the Survivable Network Design Library (SNDlib), a data library for fixed telecommunication network design that can be accessed at http://sndlib.zib.de. In version 1.0, the library contains data related to 22 networks which, combined with a set of selected planning parameters, leads to 830 network planning problem instances. In this paper, we provide a mathematical model for each planning problem considered in the library and describe the data concepts of the SNDlib. Furthermore, we provide statistical information and details about the origin of the data sets.
    Keywords: ddc:000
    Language: English
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  • 10
    Publication Date: 2020-08-05
    Description: The \emph{optimal track allocation problem} (\textsc{OPTRA}), also known as the train routing problem or the train timetabling problem, is to find, in a given railway network, a conflict-free set of train routes of maximum value. We propose a novel integer programming formulation for this problem that is based on additional configuration' variables. Its LP-relaxation can be solved in polynomial time. These results are the theoretical basis for a column generation algorithm to solve large-scale track allocation problems. Computational results for the Hanover-Kassel-Fulda area of the German long distance railway network involving up to 570 trains are reported.
    Keywords: ddc:000
    Language: English
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  • 11
    Publication Date: 2020-12-15
    Description: We consider a multicommodity routing problem, where demands are released \emph{online} and have to be routed in a network during specified time windows. The objective is to minimize a time and load dependent convex cost function of the aggregate arc flow. First, we study the fractional routing variant. We present two online algorithms, called Seq and Seq$^2$. Our first main result states that, for cost functions defined by polynomial price functions with nonnegative coefficients and maximum degree~$d$, the competitive ratio of Seq and Seq$^2$ is at most $(d+1)^{d+1}$, which is tight. We also present lower bounds of $(0.265\,(d+1))^{d+1}$ for any online algorithm. In the case of a network with two nodes and parallel arcs, we prove a lower bound of $(2-\frac{1}{2} \sqrt{3})$ on the competitive ratio for Seq and Seq$^2$, even for affine linear price functions. Furthermore, we study resource augmentation, where the online algorithm has to route less demand than the offline adversary. Second, we consider unsplittable routings. For this setting, we present two online algorithms, called U-Seq and U-Seq$^2$. We prove that for polynomial price functions with nonnegative coefficients and maximum degree~$d$, the competitive ratio of U-Seq and U-Seq$^2$ is bounded by $O{1.77^d\,d^{d+1}}$. We present lower bounds of $(0.5307\,(d+1))^{d+1}$ for any online algorithm and $(d+1)^{d+1}$ for our algorithms. Third, we consider a special case of our framework: online load balancing in the $\ell_p$-norm. For the fractional and unsplittable variant of this problem, we show that our online algorithms are $p$ and $O{p}$ competitive, respectively. Such results where previously known only for scheduling jobs on restricted (un)related parallel machines.
    Keywords: ddc:000
    Language: English
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  • 12
    Publication Date: 2014-02-26
    Description: Die Zentrale des Kooperativen Bibliotheksverbunds Berlin-Brandenburg (KOBV) betreibt seit Januar 2004 das KOBV-Portal, in dem u.a. vielfältige Open-Linking-Dienste eingebunden sind. Dieser Beitrag erläutert Open-Linking allgemein und stellt die KOBV spezifischen Dienste im Detail vor. Dabei wird auch die Zugriffsentwicklung auf die KOBV-Open-Linking-Dienste evaluiert. Ein Ergebnis ist, dass signifikante Steigerungen der Nutzung erst dann bewirkt werden, wenn Maßnahmen durchgeführt werden, die erstens die Open-Linking-Dienste stärker ins Bewusstsein der NutzerInnen rücken und zweitens den Weg dorthin im KOBV-Portal verkürzen. Vor allem muss ein schneller Weg zu den Open-Linking-Diensten gewährleistet sein, um die Nutzung deutlich zu steigern. Um zusätzlich den Bekanntheitsgrad der Open-Linking-Dienste bundesweit zu erhöhen, regt die KOBV-Zentrale andere Bibliotheken und Verbünde dazu an, analoge Open-Linking-Dienste einzurichten. Auf diese Weise wird die Handhabung von Open-Linking selbstverständlicher.
    Keywords: ddc:000
    Language: German
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  • 13
    Publication Date: 2014-02-26
    Description: Dieser Artikel berichtet über eine erfolgreiche Schüleraktivität, die seit Jahren am Zuse-Institut Berlin (ZIB) bei Besuchen von Schülergruppen erprobt und verfeinert worden ist. Das hier zusammengestellte Material ist gedacht als Basis für eine Unterrichtseinheit in Leistungskursen Mathematik an Gymnasien. Inhaltlich wird von einem zwar für Schüler (wie auch Lehrer) neuen, aber leicht fasslichen Gegenstand ausgegangen: der Drei-Term-Rekursion für Besselfunktionen. Die Struktur wird erklärt und in ein kleines Programm umgesetzt. Dazu teilen sich die Schüler selbstorganisierend in Gruppen ein, die mit unterschiedlichen Taschenrechnern "um die Wette" rechnen. Die Schüler und Schülerinnen erfahren unmittelbar die katastrophale Wirkung von an sich kleinen'' Rundungsfehlern, sie landen -- ebenso wie der Supercomputer des ZIB -- im Bessel'schen Irrgarten''. Die auftretenden Phänomene werden mathematisch elementar erklärt, wobei lediglich auf das Konzept der linearen Unabhängigkeit zurückgegriffen wird. Das dabei gewonnene vertiefte Verständnis fließt ein in die Konstruktion eines klassischen Algorithmus sowie eines wesentlich verbesserten Horner-artigen Algorithmus.
    Keywords: ddc:000
    Language: German
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  • 14
    Publication Date: 2017-08-01
    Description: In this paper we study capacitated network design problems, differentiating directed, bidirected and undirected link capacity models. We complement existing polyhedral results for the three variants by new classes of facet-defining valid inequalities and unified lifting results. For this, we study the restriction of the problems to a cut of the network. First, we show that facets of the resulting cutset polyhedra translate into facets of the original network design polyhedra if the two subgraphs defined by the network cut are (strongly) connected. Second, we provide an analysis of the facial structure of cutset polyhedra, elaborating the differences caused by the three different types of capacity constraints. We present flow-cutset inequalities for all three models and show under which conditions these are facet-defining. We also state a new class of facets for the bidirected and undirected case and it is shown how to handle multiple capacity modules by Mixed Integer Rounding (MIR).
    Keywords: ddc:000
    Language: English
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  • 15
    Publication Date: 2020-12-15
    Description: In this paper we study online multicommodity routing problems in networks, in which commodities have to be routed sequentially. The flow of each commodity can be split on several paths. Arcs are equipped with load dependent price functions defining routing costs, which have to be minimized. We discuss a greedy online algorithm that routes each commodity by minimizing a convex cost function that only depends on the demands previously routed. We present a competitive analysis of this algorithm showing that for affine linear price functions this algorithm is 4K2 (1+K)2 -competitive, where K is the number of commodities. For the single-source single-destination case, this algorithm is optimal. Without restrictions on the price functions and network, no algorithm is competitive. Finally, we investigate a variant in which the demands have to be routed unsplittably.
    Keywords: ddc:000
    Language: English
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  • 16
    Publication Date: 2020-12-15
    Description: In this paper, we empirically investigate the NP-hard problem of finding sparse solutions to linear equation systems, i.e., solutions with as few nonzeros as possible. This problem has received considerable interest in the sparse approximation and signal processing literature, recently. We use a branch-and-cut approach via the maximum feasible subsystem problem to compute optimal solutions for small instances and investigate the uniqueness of the optimal solutions. We furthermore discuss five (modifications of) heuristics for this problem that appear in different parts of the literature. For small instances, the exact optimal solutions allow us to evaluate the quality of the heuristics, while for larger instances we compare their relative performance. One outcome is that the basis pursuit heuristic performs worse, compared to the other methods. Among the best heuristics are a method due to Mangasarian and a bilinear approach.
    Keywords: ddc:000
    Language: English
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  • 17
    Publication Date: 2014-02-26
    Description: The performance evaluation of W-CDMA networks is intricate as cells are strongly coupled through interference. Pole equations have been developed as a simple tool to analyze cell capacity. Numerous scientific contributions have been made on their basis. In the established forms, the pole equations rely on strong assumptions such as homogeneous traffic, uniform users, and constant downlink orthogonality factor. These assumptions are not met in realistic scenarios. Hence, the pole equations are typically used during initial network dimensioning only. Actual network (fine-) planning requires a more faithful analysis of each individual cell's capacity. Complex analytical analysis or Monte-Carlo simulations are used for this purposes. In this paper, we generalize the pole equations to include inhomogeneous data. We show how the equations can be parametrized in a cell-specific way provided the transmit powers are known. This allows to carry over prior results to realistic settings. This is illustrated with an example: Based on the pole equation, we investigate the accuracy of average snapshot'' approximations for downlink transmit powers used in state-of-the-art network optimization schemes. We confirm that the analytical insights apply to practice-relevant settings on the basis of results from detailed Monte-Carlo simulation on realistic datasets.
    Keywords: ddc:000
    Language: English
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  • 18
    Publication Date: 2017-08-01
    Description: This paper deals with directed, bidirected, and undirected capacitated network design problems. Using mixed integer rounding (MIR), we generalize flow-cutset inequalities to these three link types and to an arbitrary modular link capacity structure, and propose a generic separation algorithm. In an extensive computational study on 54 instances from the Survivable Network Design Library (SNDlib), we show that the performance of cplex can significantly be enhanced by this class of cutting planes. The computations reveal the particular importance of the subclass of cutset-inequalities.
    Keywords: ddc:000
    Language: English
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  • 19
    Publication Date: 2020-02-04
    Description: Wigner transformation provides a one-to-one correspondence between functions on position space (wave functions) and functions on phase space (Wigner functions). Weighted integrals of Wigner functions yield quadratic quantities of wave functions like position and momentum densities or expectation values. For molecular quantum systems, suitably modified classical transport of Wigner functions provides an asymptotic approximation of the dynamics in the high energy regime. The article addresses the computation of Wigner functions by Monte Carlo quadrature. An ad aption of the Metropolis algorithm for the approximation of signed measures with disconnected support is systematically tested in combination with a surface hopping algorithm for non-adiabatic quantum dynamics. The numerical experiments give expectation values and level populations with an error of two to three percent, which agrees with the theoretically expected accuracy.
    Keywords: ddc:000
    Language: English
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  • 20
    Publication Date: 2020-11-13
    Description: We study a planning problem arising in SDH/WDM multi-layer telecommunication network design. The goal is to find a minimum cost installation of link and node hardware of both network layers such that traffic demands can be realized via grooming and a survivable routing. We present a mixed-integer programming formulation that takes many practical side constraints into account, including node hardware, several bitrates, and survivability against single physical node or link failures. This model is solved using a branch-and-cut approach with problem-specific preprocessing and cutting planes based on either of the two layers. On several realistic two-layer planning scenarios, we show that these cutting planes are still useful in the multi-layer context, helping to increase the dual bound and to reduce the optimality gaps.
    Keywords: ddc:000
    Language: English
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  • 21
    Publication Date: 2020-08-05
    Description: In \emph{classical optimization} it is assumed that full information about the problem to be solved is given. This, in particular, includes that all data are at hand. The real world may not be so nice'' to optimizers. Some problem constraints may not be known, the data may be corrupted, or some data may not be available at the moments when decisions have to be made. The last issue is the subject of \emph{online optimization} which will be addressed here. We explain some theory that has been developed to cope with such situations and provide examples from practice where unavailable information is not the result of bad data handling but an inevitable phenomenon.
    Keywords: ddc:000
    Language: English
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  • 22
    Publication Date: 2020-12-11
    Description: Die Intention ist der kooperative Aufbau einer Infrastruktur durch die Bibliotheksverbünde, um den Nutzern Volltext-Angebote dauerhaft und komfortabel zur Verfügung zu stellen: Zeitschriftenartikel und elektronische Dokumente werden mittels Suchmaschinentechnologie indexiert und unter Berücksichtigung von Zugriffsrechten zugänglich gemacht. Realisiert ist dies bereits im KOBV-Volltextserver, der seit Ende 2005 im Routinebetrieb läuft. Vorstellbar ist ein überregionales Netz von Volltextservern der Verbünde, die mittels Suchmaschinentechnologie indiziert und nahtlos in das regionale und lokale Literaturangebot integriert werden. Bei den lizenzierten Materialien sind insbesondere auch die Rechte der Verlage zu wahren und entsprechende Rechtemanagement-Verfahren einzusetzen. Es gilt, transparente Verfahren zu konzipieren und umzusetzen, um für die Verlage die notwendige Vertrauensbasis zu schaffen und gleichzeitig den Einrichtungen ihren berechtigten Zugriff auf die Volltexte zu sichern. Der vorliegende Text ist die schriftliche Fassung eines Vortrages auf dem 3. Leipziger Kongress für Information und Bibliothek "Information und Ethik", der vom 19.-22. März 2007 im Congress Center Leipzig stattfand.
    Keywords: ddc:000
    Language: German
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  • 23
    Publication Date: 2020-12-11
    Description: Zur Unterstützung der Bibliotheken bei ihren Open-Access-Aktivitäten betreibt die KOBV-Zentrale seit Anfang 2005 den Service "Opus- und Archivierungsdienste". Die KOBV-Zentrale agiert als Application Service Provider (ASP) für sämtliche technischen Komponenten des Publikationsprozesses, indem sie die gesamte technische Infrastruktur bereitstellt und betreibt – angefangen bei den lokalen Publikationsservern bis hin zu lokalen Repositories zur Archivierung der elektronischen Dokumente. Der vorliegende Text ist die schriftliche Fassung eines gleichnamigen Vortrages auf der 31. ASpB-Tagung "Kooperation versus Eigenprofil?" der Arbeitsgemeinschaft der Spezialbibliotheken, die vom 25.-28. September 2007 in der Technischen Universität Berlin stattfand.
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    Language: German
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  • 24
    Publication Date: 2022-07-07
    Description: A new approach to derive transparent boundary conditions (TBCs) for wave, Schrödinger, heat and drift-diffusion equations is presented. It relies on the pole condition and distinguishes between physical reasonable and unreasonable solutions by the location of the singularities of the spatial Laplace transform of the exterior solution. To obtain a numerical algorithm, a Möbius transform is applied to map the Laplace transform onto the unit disc. In the transformed coordinate the solution is expanded into a power series. Finally, equations for the coefficients of the power series are derived. These are coupled to the equation in the interior, and yield transparent boundary conditions. Numerical results are presented in the last section, showing that the error introduced by the new approximate TBCs decays exponentially in the number of coefficients.
    Keywords: ddc:000
    Language: English
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  • 25
    Publication Date: 2022-07-19
    Description: We present a unified approach for consistent remeshing of arbitrary non-manifold triangle meshes with additional user-defined feature lines, which together form a feature skeleton. Our 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 skeleton and the input mesh.
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  • 26
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 133 (1924) 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 27
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 133 (1924), S. 17-25 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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  • 28
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 133 (1924), S. 55-66 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 1. In der vorliegenden Arbeit ist bewiesen, daß das Mercuronitrat nach der Gleichung: Hg2(NO3)2 ⇄ Hg2″ + 2NO3′ dissoziiert; die Möglichkeit der komplizierteren Dissoziationsgleichungen ist ausgeschlossen.
    Additional Material: 2 Ill.
    Type of Medium: Electronic Resource
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  • 29
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 133 (1924), S. 107-112 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Type of Medium: Electronic Resource
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  • 30
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Zeitschrift für anorganische Chemie 133 (1924), S. 411-416 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 134 (1924) 
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    Zeitschrift für anorganische Chemie 133 (1924), S. 230-244 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Zur Herstellung von reduziertem Kupfer in fein verteilter Form wird die salzsaure Lösung von reinem Cuprochlorid durch reines Zink reduziert.
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    Zeitschrift für anorganische Chemie 133 (1924), S. 263-264 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Zeitschrift für anorganische Chemie 133 (1924), S. 245-262 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Die Bestimmung desthermischen Ozon-Sauerstoff-Gleichgewichts erfolgt am besten durch Untersuchung des bei der Explosion von Ozon-Sauerstoffgemischen zurückbleibenden Gases. Dieses besteht bei der Explosion eines Gemisches, welches weniger als 37 Vol. -% Ozon enthält, aus reinem Sauerstoff. Die hierbei theoretisch erreichbare Maximaltemperatur beträgt 2130° abs. Die mit Sauerstoff im Gleichgewicht stehenden Ozonmengen liegen also bis zu dieser Temperatur unterhalb der analytischen Nachweisbarkeit, sie betragen weniger als 2 · 10-5 Vol.-%. Bei der Explosion von 45 Vol. %, igem bis 94 Vol. %igem Ozon bleiben nach der Explosion unabhängig von der Anfangskonzentration des Ozons zwischen 2.10-6 und 1·10-6 Vol.-% Ozon zurück. Bei diesen Explosionen können Maximaltemperaturen von 2385-3175° erreicht werden. Nach dem NERNST'schen Theorem ist 4,2 · 10-5 Vol.-% die maximale Ozonkonzentration, dio sich thermisch ausgehend von reinem Ozon (0° und 760 mm), durch Explosion bei konstantem Volumen, bilden kann. Hierbei wird eine Temperatur von 3200° abs., also ein Druck von 17,6 Atm. erreicht.
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    Zeitschrift für anorganische Chemie 134 (1924), S. 317-326 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 1. Das komplexe dreiwertige Wolframchlorid K3W2Cl9 wurde mit sehr guter Ausbeute durch elektrolytische Reduktion einer Lösung von K2WO4 in konzentrierter HCl bei 40° an einer Pb-Kathode und mit Dk = 0,064 Amp. pro qcm dargestellt.
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    Zeitschrift für anorganische Chemie 135 (1924), S. 81-117 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Zeitschrift für anorganische Chemie 135 (1924), S. 127-142 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Zeitschrift für anorganische Chemie 136 (1924), S. 62-74 
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    Zeitschrift für anorganische Chemie 136 (1924), S. 216-220 
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    Zeitschrift für anorganische Chemie 136 (1924), S. 221-222 
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    Keywords: Chemistry ; Inorganic Chemistry
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    Zeitschrift für anorganische Chemie 136 (1924), S. 283-288 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 136 (1924), S. 257-282 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wurde ein Apparat. konstruiert und eine Methode ausgearbeitet, die gestatten Antimontribromid und Antimontrichlorid durch direkte Vereinigung der vollkommen reinen elementaren Komponenten unter vollständigem Ausschluß von Luft und Feuchtigkeit darzustellen, in einem indifferenten Gasstrom unter gewöhnlichem Druck, dann im Hochvakuum zu destillieren und endlich die einzelnen Analysenproben ebenfalls im Vakuum in Glaskugeln einzuschließen. Die Analyse erfolgte jeweils nach zwei Methoden, indem erstens durch gravimetrische Titration die zur vollständigen Ausfällung des Halogens benötigte Menge Silber genau ermittelt und zweitens das gefällte Silberhalogenid zur Wägung gebracht wurde. Alle vier voneinander unabhängigen Analysenreihen gaben in vollkommener Übereinstimmung als Mittelwert von 32 Einzelbestimmungen das Atomgewicht des Antimons: Sb = 121, 76.Diesen Wert betrachten wir als des wahrscheinlichste Atomgewicht des Antimons, wenn als Basis das Atomgewicht des Silbers zu Ag = 107,88 und die Halogene zu Cl= 35,457 bzw. Br = 79, 916 angenommen werden.
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    Zeitschrift für anorganische Chemie 136 (1924), S. 49-61 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wird ein neues Verfahren zur Herstellung von reinem, besonders beständigem Ruthenium-8-oxyd beschrieben. Das Oxyd ist zu Wertigkeitsbestimmungen verwendet worden. Diese haben ergeben:8-wertiges Ruthenium wird durch Salzsäure rasch zu 4-wertigem, langsamer zu 3-wertigem reduziert. Eine Erhöhung der Säurekonzentration beschleunigt den Vorgang.Bei Verwendung von Bromwasserstoff wird die Stufe der 4-Wertigkeit unter sonst gleichen Verhältnissen rascher durchschritten und bei Verwendung von Jodwasserstoff kaum mehr bemerkbar.Verbindungen von niedrigerer Wertigkeit des Rutheniums lassen sich in alkalischer Lösung durch Kaliumpermanganat bis zur 6-Wertigkeit (Ruthenat) oxydieren; in saurer Lösung geht die Oxydation weiter, bis zum 8-Oxyd.
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    Zeitschrift für anorganische Chemie 136 (1924), S. 90-94 
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    Keywords: Chemistry ; Inorganic Chemistry
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    Zeitschrift für anorganische Chemie 136 (1924), S. 95-96 
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    Keywords: Chemistry ; Inorganic Chemistry
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    Zeitschrift für anorganische Chemie 136 (1924), S. 75-89 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wurde gezeigt, daß die verschiedenen Verfahren zur Bestimmung der als Carbid im Eisen gebundenen Kohle mit Ausnahme der Chromschwefelsäuremethode von ABEL gleichwertig sind. Sie alle liefern nur dann ein befriedigendes Ergebnis, wenn die gebundene Kohle im Stahl in Form von Zementit oder von körnigem Perlit vorliegt und nicht in Form von streifigem Perlit. Die gravimetrische Methode verliert hier ihre Berechtigung und demzufolge noch vielmehr bei Vorhandensein von Sorbit und Troostit (Osmondit), wie dies bei Gegenwart von Mangan insbesondere leicht eintritt.
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    Zeitschrift für anorganische Chemie 136 (1924), S. 97-113 
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    Topics: Chemistry and Pharmacology
    Notes: Es wurde eine Apparatur beschrieben, die zur Prüfung von Tonzellen auf ihren Nutzeffekt dienen soll.
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    Zeitschrift für anorganische Chemie 136 (1924), S. 114-120 
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    Notes: Es wird der Röhrenverstärker in die Methode von KOHLRAUSCH zur Bestimmung des Leitvermögens von Elektrolyten eingeführt, seine Wirkungsweise und sein Einfluß innerhalb dieser Methode werden untersucht.
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    Zeitschrift für anorganische Chemie 136 (1924), S. 184-188 
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    Zeitschrift für anorganische Chemie 136 (1924), S. 147-148 
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    Zeitschrift für anorganische Chemie 136 (1924), S. 189-192 
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    Zeitschrift für anorganische Chemie 137 (1924) 
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    Zeitschrift für anorganische Chemie 137 (1924), S. 1-31 
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    Zeitschrift für anorganische Chemie 137 (1924), S. 32-38 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 1. Im Gegensatz zu JOLY und in Übereinstimmung mit JAS. LEWIS HOWE, JAMES L. HOWE und S. C. OGBURN wird festgestellt, daß bei der Chlorierung von Ruthenium mit Hilfe von Kohlenoxyd ein Chlorid der Zusammensetzung RuCl2 entstehen kann, daß jedoch die hier herrschenden Verhältnisse noch der Klärung bedürfen.
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    Zeitschrift für anorganische Chemie 137 (1924), S. 39-55 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wurde die Auflösungsgeschwindigkeit der flüssigen Natriumamalgame in alkalischen und in sauren Lösungen untersucht.
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    Zeitschrift für anorganische Chemie 136 (1924), S. 416-420 
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    Zeitschrift für anorganische Chemie 137 (1924), S. 56-65 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Die Reaktionsgeschwindigkeit in heterogenen Systemen ist als Summe zweier Größen aufzufassen, deren eine für die gegebene Reaktion konstant und die andere der Rührgeschwindigkeit proportional ist. Der Proportionalitätsfaktor ist von der Rührvorrichtung abhängig und zwar wird er schon durch geringe Änderungen dieser deutlich beeinflußt.
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    Zeitschrift für anorganische Chemie 137 (1924), S. 66-78 
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    Zeitschrift für anorganische Chemie 137 (1924), S. 79-80 
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    Zeitschrift für anorganische Chemie 137 (1924), S. 101-114 
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    Zeitschrift für anorganische Chemie 137 (1924), S. 115-124 
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    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 1. Die Widerstandserhöhung geglühten Stahls in Abhängigkeit vom C-Gehalt wurde ermittelt und zwar (a)für lamellaren,(b)für körnigen Zustand des Perlits.
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    Zeitschrift für anorganische Chemie 136 (1924), S. 193-202 
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    Zeitschrift für anorganische Chemie 136 (1924), S. 203-215 
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    Zeitschrift für anorganische Chemie 136 (1924), S. 223-237 
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    Zeitschrift für anorganische Chemie 136 (1924), S. 238-244 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Man kann den Wert der Chlorsulfonsaüre nicht ermitteln, indem man dieselbe mit H2O zersetzt und nun HCl und H2SO4 bestimmt; die Säure muß zu diesem Zwecke destilliert werden.
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    Zeitschrift für anorganische Chemie 136 (1924), S. 252-256 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Das Potential εH einer Wolframlösung, die die beiden Chloride MWO2Cl3 und M2WOCl5 zu gleicher Konzentration in konzentrierter Salzsaure enthält, beträgt + 0,26 Volt bei 18O° und bei einer Gesamtkonzentration von 0,143 Grammatomen W pro Liter.Die Abhängigkeit des Potentials von dem Konzentrationsverhältnis \documentclass{article}\pagestyle{empty}\begin{document}$ \frac{{6{\rm - wertigem\, Chlorid}}}{{5{\rm - wertigem\, Chlorid}}} $\end{document} wird durch eine Kurve wiedergegeben, die in ihrer allgemeinen Form an die theoretische erinnert, die aber, wahrscheinlich infolge der verschiedenen Dissoziation der beiden W-Chloride, besonders in der Nahe der W-5-Stufe von der theoretischen stark abweicht.
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    Zeitschrift für anorganische Chemie 136 (1924), S. 245-251 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Alkalische Lösungen der 4-wertigen Molybdän- und Wolfram- Octocyanide werden bei Bestrahlung im Sonnenlicht zersetzt, indem die CN-Gruppen der R(CN)3-Komplexe sukzessiv durch OH-Gruppen ausgetauscht werden, wobei die Komplexität der negativen Ionen sehr stark vermindert wird. Die höchste Anzahl CN-Gruppen, die in dieser Weise substituiert werden können, ist aller Wahrscheinlichkeit nach 4.Der Verlauf der lichtchemischen Umsetzung kann durch Titrierung mit Permanganat verfolgt werden. Die Reaktionsgeschwindigkeit ist im allgemeinen von der Alkalikonzentration abhängig, und zeigt ein Maximum bei einem KOH - Gehalt von 0,5-1,0- normal.Aus den belichteten Lösungen wurden einheitliche Verbindungen vom Typus K4[R(OH)3(CN)5] · x aq. isoliert, die früher nicht dargestellt worden sind. Die Wolframverbindung ist braungelb und gibt rotviolette Lösungen. Die Molybdänverbindung existiert in zwei Formen, einer rotvioletten und einer gelben, die sich wahrscheinlich nur durch ihren verschiedenen Wassergehalt unterscheiden. Die gelbe Form ist instabil und wandelt sich schnell in die rotviolette um. Beide Formen lösen sich leicht in Wasser mit tiefblauer Farbe.Weitere Studien über diese photochemische Reaktion, sowie über andere damit im Zusammenhang stehenden von dem Licht bewirkten Umsetzungen sind in Angriff genommen.
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    Zeitschrift für anorganische Chemie 136 (1924), S. 289-294 
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    Keywords: Chemistry ; Inorganic Chemistry
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    Zeitschrift für anorganische Chemie 140 (1924), S. 52-60 
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    Zeitschrift für anorganische Chemie 138 (1924), S. 162-166 
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    Zeitschrift für anorganische Chemie 138 (1924), S. 189-194 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 138 (1924), S. 195-198 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 138 (1924), S. 205-218 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 138 (1924), S. 219-232 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 140 (1924), S. 93-115 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 140 (1924), S. 149-182 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 11 Ill.
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    Zeitschrift für anorganische Chemie 140 (1924), S. 61-80 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Bei einer Nachprüfung der unsicheren Angaben in der Literatur über das Berylliumsulfat und seine Hydrate werden die folgenden Feststellungen gemacht: Das wasserfreie Berylliumsulfat kann, im Gegensatz zu älteren Angaben, sowohl durch Erhitzen des 4-Hydrates, und zwar auf 400° C, wie auch durch Behandeln derselben Verbindung, des Berylliumoxydes oder, wie wir neu feststellten, des Hydroxydes mit konzentrierter Schwefelsäure gewonnen werden. Vorschriften für die Darstellung des Salzes auf beiden Wegen werden angegeben. Wir erhielten außerdem durch Erhitzen des Berylliumsulfat- 4-Hydrates die Salze BeSO4· H2O bei 200°, BeSO4·2 H2O bei 120° C, BeSO4·3H2O bei 55°. Die von uns gefundenen Temperaturen liegen wesentlich höher, als die bisher angegeben. Das Berylliumsulfat-4-Hydrat ist am besten aus schwach schwefelsaurer Lösung erhältlich. Eine einfache Vorschrift zur Darstellung der Verbindung wird angegeben. Durch Erhitzen des Berylliumsulfat-4-Hydrates können durch allmähliche Steigerung der Temperatur Berylliumsulfate mit jedem gewünschten Wassergehalte zwischen 0 und 4H2O hergestellt werden, doch zeigte der systematische Abbau der genannten Verbindung mit Hilfe des Tensi-Endiometers nach HÜTTIG, daß sicher nur die Hydrate BeSO4, BeSO4·2H2O und BeSO4 · 4H2O als chemische Verbindungen angesprochen werden dürfen, und daß über die Existenz des 1-Hydrates eindeutige Feststellungen noch nicht gemacht werden können. Im Gegensatz zu M. LEVI MALVANO und F. WIRTH ist es uns nicht gelungen, das Berylliumsulfat-6-Hydrat herzustellen, vielmehr sind wir auf Grund unserer Versuche und theoretischen Erwägungen der Ansicht von PARSONS, FULLER und BRITTON, daß das Beryllium-sulfat-6-Hydrat noch nicht hergestellt worden ist. Im Gegensatz zu G. KLATZO, MARIGNAC und ATTERBERG und in Übereinstimmung mit LEVI MALVANO und PARSONS glauben wir, daß das Beryllium-7-Hydrat nicht existiert.
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    Zeitschrift für anorganische Chemie 138 (1924), S. 167-179 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Additional Material: 6 Ill.
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    Zeitschrift für anorganische Chemie 138 (1924), S. 180-188 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Die Messung der Wärmetönung der Reaktion des sogenannten Wismutoxyduls mit Salzsäure wird dadurch verfälscht, daß sich das zurückbleibende Metall bei Luftzutritt in der Säure löst. Die Messungen wurden daher wiederholt, indem während der ganzen Reaktion Kohlensäure eingeleitet wurde, und wurden mit der Wärmetönung verglichen, die bei derselben Reaktion eines Gemisches von Oxyd und Metall auftritt. Es ergibt sich innerhalb der Fehlergrenzen keine Differenz. Die abweichenden Resultate TANATARS werden erörtert.
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    Zeitschrift für anorganische Chemie 139 (1924), S. 387-393 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wurde am Beispiel von Ferrichloridlösung mathematisch untersucht, wie die Konzentrationen des Moleküls und seiner Dissoziationsprodukte aller Stufen von der Gesamt-, von der Kationen- und von der Anionenkonzentration abhängen.
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    Zeitschrift für anorganische Chemie 139 (1924), S. 419-420 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 140 (1924), S. 1-21 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 139 (1924), S. 317-323 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 139 (1924), S. 324-332 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wird der Einfluß der Temperatur auf die Entgasung eines aus Holzkohle bestehenden Adsorbers untersucht, der mit einem Gemisch mehrerer Gase im Gleichgewicht ist.
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    Zeitschrift für anorganische Chemie 139 (1924), S. 394-396 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 139 (1924), S. 397-410 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 141 (1924), S. 101-108 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wurden vier Analysen eines von A. STOCK durch fraktionierte Destillation im Hochvakuum gereinigten und durch 0°-Tensionsbestimmungen als vollkommen rein erkannten Siliciumtetrachlorids ausgeführt, welche aus dem Verhältnis SiCl4: 4Ag für das Atomgewicht des Siliciums den Wert Si = 28,105 ergaben.
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    Zeitschrift für anorganische Chemie 141 (1924), S. 109-110 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 141 (1924), S. 82-94 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wurde in der vorliegenden Arbeit eine Methode ausgeführt, das Atomgewicht von Wismut zu bestimmen durch Verbrennung einer seiner organischen Verbindungen, des Triphenyls. Im besonderen bestand die Aufgabe darin, eiae brauchbare Darstellungsmethode des Ausgangsmaterials zu ermitteln, um dessen Verwendungsmöglichkeit für eine exakte Analyse zu prüfen. Wie oben gezeigt wurde, konnte die Reindarstellung des Wismuttriphenyls leicht durch Destillation im Hochvakuum erzielt werden, die, wie auch die Sublimation, als die besten Methoden der Reinigung anzusehen sind. Wir erhielten ein absolut reines, durch Schmelz und Siedepunkt identifiziertes Produkt. Die Destillation wurde so geführt, daß der Tiegel, indem das Destillat aufgefangen wurde, im Wägegläschen verschlossen werden konnte, ohne mit der Außenluft in Berührung zu kommen, so daß jede Gefahr einer Aufnahme von Luftfeuchtigkeit vermieden wurde. Eine Verdichtung von Gasen innerhalb des Wismuttriphenyls konnte ebenfalls nicht eintreten, da ja einerseits im Vakuum gearbeitet wurde, andererseits das Destillat zu einer kompakten Masse im Tiegel erstarrte, deren Oberfläche nur klein war. Die Verbrennung selbst, die in Tiegeln aus Quarzglas ausgeführt wurde, verlief leicht und einwandfrei mittels reinster Oxalsäure, die durch mehrmalige Sublimation leicht rein dargestellt werden konnte. Bezüglich des Wismutoxyds ist noch zu sagen, daß es völlig frei von Kohlenstoff war, und wie die Prüfung ergab, keine okkludierten Gase enthielt, auch keinen Unterschied in der Auswage zeigte, wenn es direkt oder erst nach Evakuierung gewogen wurde. Dadurch, daß das Oxyd wieder im RICHARDschen Einfallapparat im Wägegläschen verschlossen wurde, war auch jede Bildung von basischem Salz ausgeschlossen. Von großem Vorteil und für die Arbeit als solche sehr günstig war vor allem, daß die Einwage, die Verbrennung selbst und auch die Auswage in ein- und demselben Gefäß vorgenommen wurde.
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    Zeitschrift für anorganische Chemie 140 (1924), S. 22-36 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es wurde das Gleichgewicht FeSO4 + NO ⇄ FeSO4NO für O°, 13° und 25° nach neuen und früheren Versuchen berechnet und die Gleichgewichtskonstante in Übereinstimmung mit dem Massen- Wirkungsgesetz entsprechend der Formel \documentclass{article}\pagestyle{empty}\begin{document}$ K = P \cdot \frac{{22,4 - v}}{v} $\end{document} gefunden. Die Konstanz von K wurde zugleich durch graphische Darstellung veranschaulicht.
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    Zeitschrift für anorganische Chemie 141 (1924), S. 111-118 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Aus dem Verlauf der Spannungskurven, die bei der potentio-metrischen Verfolgung der Reduktion von Permanganat mit Ferro- und Jodion erhalten werden, konnten verschiedene Schlüsse über deren Verlauf gezogen werden, die auch für die Maßanalyse von Wichtigkeit sind.
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    Zeitschrift für anorganische Chemie 141 (1924), S. 161-227 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Es konnte gezeigt werden, daß nicht nur das NaC2H5, sondern auch LiC2H5, KC2H5 und ebenso LiCH3, LiC6H5 und LiCH2C6H6 in ihren Zn(C2H5)2-Losungen den elektrischen Strom leiten und somit darin salzartig konstituiert sind. Größere molare Leitfähigkeit, höherer Schmelzpunkt und gleichzeitige Beschränkung der Mischbarkeit mit dem Lösungsmittel ließen erkennen, daß der Salzcharakter, wie zu erwarten, um so ausgeprägter wurde, je elektropositiver das Alkalimetall war.
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    Zeitschrift für anorganische Chemie 141 (1924), S. 284-288 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 141 (1924), S. 304-308 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 141 (1924), S. 289-296 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 132 (1924), S. 301-314 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: 1. Die bisherigen Angaben über die Darstellung und Eigenschaften des Kaliumruthenates werden nachgeprüft und im allgemeinen bestätigt gefunden.
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    Zeitschrift für anorganische Chemie 133 (1924), S. 26-28 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 133 (1924), S. 67-72 
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    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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    Zeitschrift für anorganische Chemie 133 (1924), S. 312-324 
    ISSN: 0863-1786
    Keywords: Chemistry ; Inorganic Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
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