643 research outputs found

    First-principles calculation of the thermoelectric figure of merit for [2,2]paracyclophane-based single-molecule junctions

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    Here we present a theoretical study of the thermoelectric transport through {[}2,2{]}para\-cyclo\-phane-based single-molecule junctions. Combining electronic and vibrational structures, obtained from density functional theory (DFT), with nonequilibrium Green's function techniques, allows us to treat both electronic and phononic transport properties at a first-principles level. For the electronic part, we include an approximate self-energy correction, based on the DFT+Σ\Sigma approach. This enables us to make a reliable prediction of all linear response transport coefficients entering the thermoelectric figure of merit ZTZT. Paracyclophane derivatives offer a great flexibility in tuning their chemical properties by attaching different functional groups. We show that, for the specific molecule, the functional groups mainly influence the thermopower, allowing to tune its sign and absolute value. We predict that the functionalization of the bare paracyclophane leads to a largely enhanced electronic contribution ZelTZ_{\mathrm{el}}T to the figure of merit. Nevertheless, the high phononic contribution to the thermal conductance strongly suppresses ZTZT. Our work demonstrates the importance to include the phonon thermal conductance for any realistic estimate of the ZTZT for off-resonant molecular transport junctions. In addition, it shows the possibility of a chemical tuning of the thermoelectric properties for a series of available molecules, leading to equally performing hole- and electron-conducting junctions based on the same molecular framework.Comment: 8 pages, 7 figure

    The effect of growth-promoting methylobacteria on seedling development in Ginkgo biloba L.

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    Microbes of the genus Methylobacterium are regularly associated with leaves and fruits of plants. In experimental tests, they promote the growth of germ-free liverworts and mosses, which are ancient land plants. In this study we analyzed the effect of M. mesophilicum, a bacterium that has been isolated from the organs of numerous plant species, including gymnosperms and angiosperms, on the development of sterile embryos of Ginkgo biloba L., a unique living fossil among the embryophyta. In addition, germ-free seeds of Pinus sylvestris were inoculated with the same strain of methylobacteria. In G. biloba seedlings that were raised in a 12 h dark/light regime, a promotion of root development was recorded in samples treated with the methylobacteria. A fresh mass increase of + 25 % occurred within 6 weeks of inoculation with bacteria, compared to the aseptic control. In contrast, shoot development of the same plants was not significantly affected by these bacteria. In Pinus seedlings, organ development was unaffected by the presence of methylobacteria. Our results document a differential sensitivity of the root system versus the shoot towards these ubiquitously distributed plant-associated bacteria. The data are discussed with reference to the isolated taxonomic position of Ginkgo biloba, one of the most primitive gymnosperms in the biosphere that is economically important as a medicinal plant

    Partial Homology Relations - Satisfiability in terms of Di-Cographs

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    Directed cographs (di-cographs) play a crucial role in the reconstruction of evolutionary histories of genes based on homology relations which are binary relations between genes. A variety of methods based on pairwise sequence comparisons can be used to infer such homology relations (e.g.\ orthology, paralogy, xenology). They are \emph{satisfiable} if the relations can be explained by an event-labeled gene tree, i.e., they can simultaneously co-exist in an evolutionary history of the underlying genes. Every gene tree is equivalently interpreted as a so-called cotree that entirely encodes the structure of a di-cograph. Thus, satisfiable homology relations must necessarily form a di-cograph. The inferred homology relations might not cover each pair of genes and thus, provide only partial knowledge on the full set of homology relations. Moreover, for particular pairs of genes, it might be known with a high degree of certainty that they are not orthologs (resp.\ paralogs, xenologs) which yields forbidden pairs of genes. Motivated by this observation, we characterize (partial) satisfiable homology relations with or without forbidden gene pairs, provide a quadratic-time algorithm for their recognition and for the computation of a cotree that explains the given relations

    On Symbolic Ultrametrics, Cotree Representations, and Cograph Edge Decompositions and Partitions

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    Symbolic ultrametrics define edge-colored complete graphs K_n and yield a simple tree representation of K_n. We discuss, under which conditions this idea can be generalized to find a symbolic ultrametric that, in addition, distinguishes between edges and non-edges of arbitrary graphs G=(V,E) and thus, yielding a simple tree representation of G. We prove that such a symbolic ultrametric can only be defined for G if and only if G is a so-called cograph. A cograph is uniquely determined by a so-called cotree. As not all graphs are cographs, we ask, furthermore, what is the minimum number of cotrees needed to represent the topology of G. The latter problem is equivalent to find an optimal cograph edge k-decomposition {E_1,...,E_k} of E so that each subgraph (V,E_i) of G is a cograph. An upper bound for the integer k is derived and it is shown that determining whether a graph has a cograph 2-decomposition, resp., 2-partition is NP-complete

    The Complement of the Djokovic-Winkler Relation

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    The Djokovi\'{c}-Winkler relation Θ\Theta is a binary relation defined on the edge set of a given graph that is based on the distances of certain vertices and which plays a prominent role in graph theory. In this paper, we explore the relatively uncharted ``reflexive complement'' Θ‾\overline\Theta of Θ\Theta, where (e,f)∈Θ‾(e,f)\in \overline\Theta if and only if e=fe=f or (e,f)∉Θ(e,f)\notin \Theta for edges ee and ff. We establish the relationship between Θ‾\overline\Theta and the set Δef\Delta_{ef}, comprising the distances between the vertices of ee and ff and shed some light on the intricacies of its transitive closure Θ‾∗\overline\Theta^*. Notably, we demonstrate that Θ‾∗\overline\Theta^* exhibits multiple equivalence classes only within a restricted subclass of complete multipartite graphs. In addition, we characterize non-trivial relations RR that coincide with Θ‾\overline\Theta as those where the graph representation is disconnected, with each connected component being the (join of) Cartesian product of complete graphs. The latter results imply, somewhat surprisingly, that knowledge about the distances between vertices is not required to determine Θ‾∗\overline\Theta^*. Moreover, Θ‾∗\overline\Theta^* has either exactly one or three equivalence classes

    Preparation And Characterization Of Composite Hollow Fiber Reverse Osmosis Membranes By Plasma Polymerization. 1. Design Of Plasma Reactor And Operational Parameters

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    Composite hollow fiber reverse osmosis membranes were prepared by depositing a thin layer (10-50 nm) of plasma polymers on hollow fibers with porous walls (made of polysulfone). The coating was carried out in a semicontinuous manner with six strands of substrate fibers. Operational parameters which influence reverse osmosis characteristics of composite membranes were investigated. © 1984, American Chemical Society. All rights reserved

    Quadrilateral-octagon coordinates for almost normal surfaces

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    Normal and almost normal surfaces are essential tools for algorithmic 3-manifold topology, but to use them requires exponentially slow enumeration algorithms in a high-dimensional vector space. The quadrilateral coordinates of Tollefson alleviate this problem considerably for normal surfaces, by reducing the dimension of this vector space from 7n to 3n (where n is the complexity of the underlying triangulation). Here we develop an analogous theory for octagonal almost normal surfaces, using quadrilateral and octagon coordinates to reduce this dimension from 10n to 6n. As an application, we show that quadrilateral-octagon coordinates can be used exclusively in the streamlined 3-sphere recognition algorithm of Jaco, Rubinstein and Thompson, reducing experimental running times by factors of thousands. We also introduce joint coordinates, a system with only 3n dimensions for octagonal almost normal surfaces that has appealing geometric properties.Comment: 34 pages, 20 figures; v2: Simplified the proof of Theorem 4.5 using cohomology, plus other minor changes; v3: Minor housekeepin
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