3 resultados para Equilateral triangles

em National Center for Biotechnology Information - NCBI


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One mechanism of silver resistance in microorganisms is accumulation of the metal ions in the cell. Here, we report on the phenomenon of biosynthesis of silver-based single crystals with well-defined compositions and shapes, such as equilateral triangles and hexagons, in Pseudomonas stutzeri AG259. The crystals were up to 200 nm in size and were often located at the cell poles. Transmission electron microscopy, quantitative energy-dispersive x-ray analysis, and electron diffraction established that the crystals comprise at least three different types, found both in whole cells and thin sections. These Ag-containing crystals are embedded in the organic matrix of the bacteria. Their possible potential as organic-metal composites in thin film and surface coating technology is discussed.

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Schrödinger’s equation of a three-body system is a linear partial differential equation (PDE) defined on the 9-dimensional configuration space, ℝ9, naturally equipped with Jacobi’s kinematic metric and with translational and rotational symmetries. The natural invariance of Schrödinger’s equation with respect to the translational symmetry enables us to reduce the configuration space to that of a 6-dimensional one, while that of the rotational symmetry provides the quantum mechanical version of angular momentum conservation. However, the problem of maximizing the use of rotational invariance so as to enable us to reduce Schrödinger’s equation to corresponding PDEs solely defined on triangular parameters—i.e., at the level of ℝ6/SO(3)—has never been adequately treated. This article describes the results on the orbital geometry and the harmonic analysis of (SO(3),ℝ6) which enable us to obtain such a reduction of Schrödinger’s equation of three-body systems to PDEs solely defined on triangular parameters.

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Freeze-fracture electron microscopy was used to study the structure of a human neuronal glutamate transporter (EAAT3). EAAT3 was expressed in Xenopus laevis oocytes, and its function was correlated with the total number of transporters in the plasma membrane of the same cells. Function was assayed as the maximum charge moved in response to a series of transmembrane voltage pulses. The number of transporters in the plasma membrane was determined from the density of a distinct 10-nm freeze-fracture particle, which appeared in the protoplasmic face only after EAAT3 expression. The linear correlation between EAAT3 maximum carrier-mediated charge and the total number of the 10-nm particles suggested that this particle represented functional EAAT3 in the plasma membrane. The cross-sectional area of EAAT3 in the plasma membrane (48 ± 5 nm2) predicted 35 ± 3 transmembrane α-helices in the transporter complex. This information along with secondary structure models (6–10 transmembrane α-helices) suggested an oligomeric state for EAAT3. EAAT3 particles were pentagonal in shape in which five domains could be identified. They exhibited fivefold symmetry because they appeared as equilateral pentagons and the angle at the vertices was 110°. Each domain appeared to contribute to an extracellular mass that projects ≈3 nm into the extracellular space. Projections from all five domains taper toward an axis passing through the center of the pentagon, giving the transporter complex the appearance of a penton-based pyramid. The pentameric structure of EAAT3 offers new insights into its function as both a glutamate transporter and a glutamate-gated chloride channel.