Tricontinuous mesophases of balanced three-arm star polyphiles
Identifieur interne : 007C81 ( Main/Exploration ); précédent : 007C80; suivant : 007C82Tricontinuous mesophases of balanced three-arm star polyphiles
Auteurs : Stephen T. Hyde [Australie] ; Liliana De Campo [Australie] ; Christophe Oguey [France]Source :
- Soft Matter [ 1744-683X ] ; 2009.
English descriptors
- KwdEn :
- Adjacent molecules, Adjacent polyphiles, Amphiphilic, Amphiphilic systems, Analogue, Approximate polygonal, Asymptotic directions, Axial ratio, Balanced tricontinuous patterns, Bicontinuous, Bicontinuous mesophases, Bicontinuous patterns, Branch lines, Chem, Comparable energy, Complete pattern, Copolymer, Corresponding intera, Corresponding interpenetration, Cubic symmetry, Curvature, Curvature homogeneity, Curved edges, Differential geometry, Distinct domains, Distinct nets, Domain, Elsevier science, Energy cost, Equal volumes, Evolver, Favoured, Gaussian, Gaussian curvature, Generic patterns, Geodesic torsion, Gyroid, Hexagonal, Hexagonal honeycomb, Hexagonal honeycomb pattern, Hexagonal pattern, Honeycomb, Hyperbolic, Hyperbolic interfaces, Hyperbolic orbifold, Identical labyrinths, Immiscible, Immiscible domains, Interface, Interfacial geometries, Intergrowths, Interpenetrating, Interpenetrating labyrinths, Labyrinth, Labyrinth graphs, Labyrinth nets, Macromolecule, Mesophases, Minimal surface, Minimal surfaces, Molecular junctions, More detail, Normal curvature, Oneparameter family, Orbifold, Periodic boundary conditions, Phys, Planar tilings, Polygon, Polygonal, Polygonal boundary, Polygonal circuits, Polyphile, Polyphiles, Preferred twist, Preferred value, Previous examples, Previous section, Principal directions, Prismatic domains, Relative energies, Rotation axes, Royal society, Same colour, Screw operation, Separate vertices, Simple nets, Soft materials, Soft matter, Spontaneous torsion, Squashed members, Star polyphiles, Steric model, Straight edges, Straight lines, Surface area, Surface families, Surface patches, Surface tension, Symmetry operations, Takano, Tetragonal symmetry, Torsion, Tricontinuous, Tricontinuous pattern, Tricontinuous patterns, Tricontinuous structure, Tricontinuous structures, Tricontinuous surfaces, Trigonal, Trigonal patterns, Trigonal symmetry, Triple intergrowths, Triple lines, Trisects, Trisects space, Unit cell, Various structures, Vertex angles, Voronoi domain.
- Teeft :
- Adjacent molecules, Adjacent polyphiles, Amphiphilic, Amphiphilic systems, Analogue, Approximate polygonal, Asymptotic directions, Axial ratio, Balanced tricontinuous patterns, Bicontinuous, Bicontinuous mesophases, Bicontinuous patterns, Branch lines, Chem, Comparable energy, Complete pattern, Copolymer, Corresponding intera, Corresponding interpenetration, Cubic symmetry, Curvature, Curvature homogeneity, Curved edges, Differential geometry, Distinct domains, Distinct nets, Domain, Elsevier science, Energy cost, Equal volumes, Evolver, Favoured, Gaussian, Gaussian curvature, Generic patterns, Geodesic torsion, Gyroid, Hexagonal, Hexagonal honeycomb, Hexagonal honeycomb pattern, Hexagonal pattern, Honeycomb, Hyperbolic, Hyperbolic interfaces, Hyperbolic orbifold, Identical labyrinths, Immiscible, Immiscible domains, Interface, Interfacial geometries, Intergrowths, Interpenetrating, Interpenetrating labyrinths, Labyrinth, Labyrinth graphs, Labyrinth nets, Macromolecule, Mesophases, Minimal surface, Minimal surfaces, Molecular junctions, More detail, Normal curvature, Oneparameter family, Orbifold, Periodic boundary conditions, Phys, Planar tilings, Polygon, Polygonal, Polygonal boundary, Polygonal circuits, Polyphile, Polyphiles, Preferred twist, Preferred value, Previous examples, Previous section, Principal directions, Prismatic domains, Relative energies, Rotation axes, Royal society, Same colour, Screw operation, Separate vertices, Simple nets, Soft materials, Soft matter, Spontaneous torsion, Squashed members, Star polyphiles, Steric model, Straight edges, Straight lines, Surface area, Surface families, Surface patches, Surface tension, Symmetry operations, Takano, Tetragonal symmetry, Torsion, Tricontinuous, Tricontinuous pattern, Tricontinuous patterns, Tricontinuous structure, Tricontinuous structures, Tricontinuous surfaces, Trigonal, Trigonal patterns, Trigonal symmetry, Triple intergrowths, Triple lines, Trisects, Trisects space, Unit cell, Various structures, Vertex angles, Voronoi domain.
Abstract
We construct simple models to compare ordered tricontinuous patterns that are topologically consistent with the constraints imposed by three-arm star polyphile self-assembly, analogous to steric packing and elastic bending models used to analyse bicontinuous mesophases in amphiphilic assemblies. We find a number of competing low-energy ordered structures, composed of threading of three identical labyrinths, with three-fold infinite branch lines, that are likely to be of comparable energy for polyphile shapes with moderately splayed arms. These patterns are triply-periodic analogues of the hexagonal honeycomb, which is most favoured for unsplayed three-arm polyphile architectures.
Url:
DOI: 10.1039/b822814k
Affiliations:
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Le document en format XML
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<term>Adjacent polyphiles</term>
<term>Amphiphilic</term>
<term>Amphiphilic systems</term>
<term>Analogue</term>
<term>Approximate polygonal</term>
<term>Asymptotic directions</term>
<term>Axial ratio</term>
<term>Balanced tricontinuous patterns</term>
<term>Bicontinuous</term>
<term>Bicontinuous mesophases</term>
<term>Bicontinuous patterns</term>
<term>Branch lines</term>
<term>Chem</term>
<term>Comparable energy</term>
<term>Complete pattern</term>
<term>Copolymer</term>
<term>Corresponding intera</term>
<term>Corresponding interpenetration</term>
<term>Cubic symmetry</term>
<term>Curvature</term>
<term>Curvature homogeneity</term>
<term>Curved edges</term>
<term>Differential geometry</term>
<term>Distinct domains</term>
<term>Distinct nets</term>
<term>Domain</term>
<term>Elsevier science</term>
<term>Energy cost</term>
<term>Equal volumes</term>
<term>Evolver</term>
<term>Favoured</term>
<term>Gaussian</term>
<term>Gaussian curvature</term>
<term>Generic patterns</term>
<term>Geodesic torsion</term>
<term>Gyroid</term>
<term>Hexagonal</term>
<term>Hexagonal honeycomb</term>
<term>Hexagonal honeycomb pattern</term>
<term>Hexagonal pattern</term>
<term>Honeycomb</term>
<term>Hyperbolic</term>
<term>Hyperbolic interfaces</term>
<term>Hyperbolic orbifold</term>
<term>Identical labyrinths</term>
<term>Immiscible</term>
<term>Immiscible domains</term>
<term>Interface</term>
<term>Interfacial geometries</term>
<term>Intergrowths</term>
<term>Interpenetrating</term>
<term>Interpenetrating labyrinths</term>
<term>Labyrinth</term>
<term>Labyrinth graphs</term>
<term>Labyrinth nets</term>
<term>Macromolecule</term>
<term>Mesophases</term>
<term>Minimal surface</term>
<term>Minimal surfaces</term>
<term>Molecular junctions</term>
<term>More detail</term>
<term>Normal curvature</term>
<term>Oneparameter family</term>
<term>Orbifold</term>
<term>Periodic boundary conditions</term>
<term>Phys</term>
<term>Planar tilings</term>
<term>Polygon</term>
<term>Polygonal</term>
<term>Polygonal boundary</term>
<term>Polygonal circuits</term>
<term>Polyphile</term>
<term>Polyphiles</term>
<term>Preferred twist</term>
<term>Preferred value</term>
<term>Previous examples</term>
<term>Previous section</term>
<term>Principal directions</term>
<term>Prismatic domains</term>
<term>Relative energies</term>
<term>Rotation axes</term>
<term>Royal society</term>
<term>Same colour</term>
<term>Screw operation</term>
<term>Separate vertices</term>
<term>Simple nets</term>
<term>Soft materials</term>
<term>Soft matter</term>
<term>Spontaneous torsion</term>
<term>Squashed members</term>
<term>Star polyphiles</term>
<term>Steric model</term>
<term>Straight edges</term>
<term>Straight lines</term>
<term>Surface area</term>
<term>Surface families</term>
<term>Surface patches</term>
<term>Surface tension</term>
<term>Symmetry operations</term>
<term>Takano</term>
<term>Tetragonal symmetry</term>
<term>Torsion</term>
<term>Tricontinuous</term>
<term>Tricontinuous pattern</term>
<term>Tricontinuous patterns</term>
<term>Tricontinuous structure</term>
<term>Tricontinuous structures</term>
<term>Tricontinuous surfaces</term>
<term>Trigonal</term>
<term>Trigonal patterns</term>
<term>Trigonal symmetry</term>
<term>Triple intergrowths</term>
<term>Triple lines</term>
<term>Trisects</term>
<term>Trisects space</term>
<term>Unit cell</term>
<term>Various structures</term>
<term>Vertex angles</term>
<term>Voronoi domain</term>
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<keywords scheme="Teeft" xml:lang="en"><term>Adjacent molecules</term>
<term>Adjacent polyphiles</term>
<term>Amphiphilic</term>
<term>Amphiphilic systems</term>
<term>Analogue</term>
<term>Approximate polygonal</term>
<term>Asymptotic directions</term>
<term>Axial ratio</term>
<term>Balanced tricontinuous patterns</term>
<term>Bicontinuous</term>
<term>Bicontinuous mesophases</term>
<term>Bicontinuous patterns</term>
<term>Branch lines</term>
<term>Chem</term>
<term>Comparable energy</term>
<term>Complete pattern</term>
<term>Copolymer</term>
<term>Corresponding intera</term>
<term>Corresponding interpenetration</term>
<term>Cubic symmetry</term>
<term>Curvature</term>
<term>Curvature homogeneity</term>
<term>Curved edges</term>
<term>Differential geometry</term>
<term>Distinct domains</term>
<term>Distinct nets</term>
<term>Domain</term>
<term>Elsevier science</term>
<term>Energy cost</term>
<term>Equal volumes</term>
<term>Evolver</term>
<term>Favoured</term>
<term>Gaussian</term>
<term>Gaussian curvature</term>
<term>Generic patterns</term>
<term>Geodesic torsion</term>
<term>Gyroid</term>
<term>Hexagonal</term>
<term>Hexagonal honeycomb</term>
<term>Hexagonal honeycomb pattern</term>
<term>Hexagonal pattern</term>
<term>Honeycomb</term>
<term>Hyperbolic</term>
<term>Hyperbolic interfaces</term>
<term>Hyperbolic orbifold</term>
<term>Identical labyrinths</term>
<term>Immiscible</term>
<term>Immiscible domains</term>
<term>Interface</term>
<term>Interfacial geometries</term>
<term>Intergrowths</term>
<term>Interpenetrating</term>
<term>Interpenetrating labyrinths</term>
<term>Labyrinth</term>
<term>Labyrinth graphs</term>
<term>Labyrinth nets</term>
<term>Macromolecule</term>
<term>Mesophases</term>
<term>Minimal surface</term>
<term>Minimal surfaces</term>
<term>Molecular junctions</term>
<term>More detail</term>
<term>Normal curvature</term>
<term>Oneparameter family</term>
<term>Orbifold</term>
<term>Periodic boundary conditions</term>
<term>Phys</term>
<term>Planar tilings</term>
<term>Polygon</term>
<term>Polygonal</term>
<term>Polygonal boundary</term>
<term>Polygonal circuits</term>
<term>Polyphile</term>
<term>Polyphiles</term>
<term>Preferred twist</term>
<term>Preferred value</term>
<term>Previous examples</term>
<term>Previous section</term>
<term>Principal directions</term>
<term>Prismatic domains</term>
<term>Relative energies</term>
<term>Rotation axes</term>
<term>Royal society</term>
<term>Same colour</term>
<term>Screw operation</term>
<term>Separate vertices</term>
<term>Simple nets</term>
<term>Soft materials</term>
<term>Soft matter</term>
<term>Spontaneous torsion</term>
<term>Squashed members</term>
<term>Star polyphiles</term>
<term>Steric model</term>
<term>Straight edges</term>
<term>Straight lines</term>
<term>Surface area</term>
<term>Surface families</term>
<term>Surface patches</term>
<term>Surface tension</term>
<term>Symmetry operations</term>
<term>Takano</term>
<term>Tetragonal symmetry</term>
<term>Torsion</term>
<term>Tricontinuous</term>
<term>Tricontinuous pattern</term>
<term>Tricontinuous patterns</term>
<term>Tricontinuous structure</term>
<term>Tricontinuous structures</term>
<term>Tricontinuous surfaces</term>
<term>Trigonal</term>
<term>Trigonal patterns</term>
<term>Trigonal symmetry</term>
<term>Triple intergrowths</term>
<term>Triple lines</term>
<term>Trisects</term>
<term>Trisects space</term>
<term>Unit cell</term>
<term>Various structures</term>
<term>Vertex angles</term>
<term>Voronoi domain</term>
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<front><div type="abstract">We construct simple models to compare ordered tricontinuous patterns that are topologically consistent with the constraints imposed by three-arm star polyphile self-assembly, analogous to steric packing and elastic bending models used to analyse bicontinuous mesophases in amphiphilic assemblies. We find a number of competing low-energy ordered structures, composed of threading of three identical labyrinths, with three-fold infinite branch lines, that are likely to be of comparable energy for polyphile shapes with moderately splayed arms. These patterns are triply-periodic analogues of the hexagonal honeycomb, which is most favoured for unsplayed three-arm polyphile architectures.</div>
</front>
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<li>France</li>
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<name sortKey="De Campo, Liliana" sort="De Campo, Liliana" uniqKey="De Campo L" first="Liliana" last="De Campo">Liliana De Campo</name>
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