Download E-books The Language of Shape: The Role of Curvature in Condensed Matter: Physics, Chemistry and Biology PDF

By Z. Blum, T. Landh, S. Lidin

This publication develops the thesis that constitution and serve as in a number of condensed structures - from the atomic assemblies in inorganic frameworks and natural molecules, via molecular self-assemblies to proteins - will be unified whilst curvature and floor geometry are taken including molecular form and forces. An marvelous number of man made and organic assemblies might be appropriately modelled and understood when it comes to hyperbolic surfaces, whose richness and wonder are just now being printed via utilized mathematicians, physicists, chemists and crystallographers. those surfaces, frequently with reference to periodic minimum surfaces, weave and twist via area, carving out interconnected labyrinths whose variety of topologies and symmetries problem the ingenious powers.

The e-book bargains an summary of those buildings and structural ameliorations, convincingly demonstrating their ubiquity in covalent frameworks from zeolites used for cracking oil and toxins keep watch over to enzymes and structural proteins, thermotropic and lyotropic bicontinuous mesophases shaped via surfactants, detergents and lipids, man made block copolymer and protein networks, in addition to organic mobilephone assemblies, from muscle groups to membranes in prokaryotic and eukaryotic cells. The relation among constitution and serve as is analysed by way of the formerly ignored hidden variables of curvature and topology. therefore, the catalytic task of zeolites and enzymes, some of the best fabric houses of interpenetrating networks in microstructured polymer composites, the shipping standards in cells, the transmission of nerve signs and the folding of DNA might be extra simply understood within the gentle of this.

The textual content is liberally sprinkled with figures and color plates, making it obtainable to either the start graduate scholar and researchers in condensed subject physics and chemistry, mineralogists, crystallographers and biologists.

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