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Tricontinuous mesophases of balanced three-arm star polyphiles

Identifieur interne : 007C81 ( Main/Exploration ); précédent : 007C80; suivant : 007C82

Tricontinuous mesophases of balanced three-arm star polyphiles

Auteurs : Stephen T. Hyde [Australie] ; Liliana De Campo [Australie] ; Christophe Oguey [France]

Source :

RBID : ISTEX:30EBBC14B48E938665F4DC006BD276F9CFB0DDE0

English descriptors

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>
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<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>
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<term>Differential geometry</term>
<term>Distinct domains</term>
<term>Distinct nets</term>
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<term>Elsevier science</term>
<term>Energy cost</term>
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<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>
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<term>Hexagonal pattern</term>
<term>Honeycomb</term>
<term>Hyperbolic</term>
<term>Hyperbolic interfaces</term>
<term>Hyperbolic orbifold</term>
<term>Identical labyrinths</term>
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<term>Immiscible domains</term>
<term>Interface</term>
<term>Interfacial geometries</term>
<term>Intergrowths</term>
<term>Interpenetrating</term>
<term>Interpenetrating labyrinths</term>
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<term>Labyrinth nets</term>
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<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>
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<term>Preferred value</term>
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<term>Previous section</term>
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<term>Prismatic domains</term>
<term>Relative energies</term>
<term>Rotation axes</term>
<term>Royal society</term>
<term>Same colour</term>
<term>Screw operation</term>
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<term>Simple nets</term>
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<term>Soft matter</term>
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<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>
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<term>Tricontinuous patterns</term>
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<term>Tricontinuous surfaces</term>
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<term>Trigonal patterns</term>
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<term>Triple lines</term>
<term>Trisects</term>
<term>Trisects space</term>
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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>
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<term>Bicontinuous mesophases</term>
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<term>Corresponding intera</term>
<term>Corresponding interpenetration</term>
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<term>Curvature homogeneity</term>
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<term>Distinct nets</term>
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<term>Elsevier science</term>
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<term>Gaussian curvature</term>
<term>Generic patterns</term>
<term>Geodesic torsion</term>
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<term>Hexagonal</term>
<term>Hexagonal honeycomb</term>
<term>Hexagonal honeycomb pattern</term>
<term>Hexagonal pattern</term>
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<term>Hyperbolic</term>
<term>Hyperbolic interfaces</term>
<term>Hyperbolic orbifold</term>
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<term>Immiscible domains</term>
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<term>Interfacial geometries</term>
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<term>Mesophases</term>
<term>Minimal surface</term>
<term>Minimal surfaces</term>
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<term>More detail</term>
<term>Normal curvature</term>
<term>Oneparameter family</term>
<term>Orbifold</term>
<term>Periodic boundary conditions</term>
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<term>Planar tilings</term>
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<term>Polygonal</term>
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<term>Polygonal circuits</term>
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<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>
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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>
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