Hierarchical self-assembly of a striped gyroid formed by threaded chiral mesoscale networks

Research output: Contribution to journalJournal articleResearchpeer-review

Standard

Hierarchical self-assembly of a striped gyroid formed by threaded chiral mesoscale networks. / Kirkensgaard, Jacob Judas Kain; Evans, Myfanwy; de Campo, Lilliana; Hyde, Stephen Timothy.

In: Proceedings of the National Academy of Sciences USA (PNAS), Vol. 111, No. 4, 13.01.2014, p. 1271-1276.

Research output: Contribution to journalJournal articleResearchpeer-review

Harvard

Kirkensgaard, JJK, Evans, M, de Campo, L & Hyde, ST 2014, 'Hierarchical self-assembly of a striped gyroid formed by threaded chiral mesoscale networks', Proceedings of the National Academy of Sciences USA (PNAS), vol. 111, no. 4, pp. 1271-1276. https://doi.org/10.1073/pnas.1316348111

APA

Kirkensgaard, J. J. K., Evans, M., de Campo, L., & Hyde, S. T. (2014). Hierarchical self-assembly of a striped gyroid formed by threaded chiral mesoscale networks. Proceedings of the National Academy of Sciences USA (PNAS), 111(4), 1271-1276. https://doi.org/10.1073/pnas.1316348111

Vancouver

Kirkensgaard JJK, Evans M, de Campo L, Hyde ST. Hierarchical self-assembly of a striped gyroid formed by threaded chiral mesoscale networks. Proceedings of the National Academy of Sciences USA (PNAS). 2014 Jan 13;111(4):1271-1276. https://doi.org/10.1073/pnas.1316348111

Author

Kirkensgaard, Jacob Judas Kain ; Evans, Myfanwy ; de Campo, Lilliana ; Hyde, Stephen Timothy. / Hierarchical self-assembly of a striped gyroid formed by threaded chiral mesoscale networks. In: Proceedings of the National Academy of Sciences USA (PNAS). 2014 ; Vol. 111, No. 4. pp. 1271-1276.

Bibtex

@article{b5034b1856d64ac998d58c5ffd773504,
title = "Hierarchical self-assembly of a striped gyroid formed by threaded chiral mesoscale networks",
abstract = "Numerical simulations reveal a family of hierarchical and chiral multicontinuous network structures self-assembled from a melt blend of Y-shaped ABC and ABD three-miktoarm star terpolymers, constrained to have equal-sized A/B and C/D chains, respectively. The C and D majority domains within these patterns form a pair of chiral enantiomeric gyroid labyrinths (srs nets) over a broad range of compositions. The minority A and B components together define a hyperbolic film whose midsurface follows the gyroid minimal surface. A second level of assembly is found within the film, with the minority components also forming labyrinthine domains whose geometry and topology changes systematically as a function of composition. These smaller labyrinths are well described by a family of patterns that tile the hyperbolic plane by regular degree-three trees mapped onto the gyroid. The labyrinths within the gyroid film are densely packed and contain either graphitic hcb nets (chicken wire) or srs nets, forming convoluted intergrowths of multiple nets. Furthermore, each net is ideally a single chiral enantiomer, induced by the gyroid architecture. However, the numerical simulations result in defect-ridden achiral patterns, containing domains of either hand, due to the achiral terpolymeric starting molecules. These mesostructures are among the most topologically complex morphologies identified to date and represent an example of hierarchical ordering within a hyperbolic pattern, a unique mode of soft-matter self-assembly.",
author = "Kirkensgaard, {Jacob Judas Kain} and Myfanwy Evans and {de Campo}, Lilliana and Hyde, {Stephen Timothy}",
year = "2014",
month = "1",
day = "13",
doi = "10.1073/pnas.1316348111",
language = "English",
volume = "111",
pages = "1271--1276",
journal = "Proceedings of the National Academy of Sciences of the United States of America",
issn = "0027-8424",
publisher = "The National Academy of Sciences of the United States of America",
number = "4",

}

RIS

TY - JOUR

T1 - Hierarchical self-assembly of a striped gyroid formed by threaded chiral mesoscale networks

AU - Kirkensgaard, Jacob Judas Kain

AU - Evans, Myfanwy

AU - de Campo, Lilliana

AU - Hyde, Stephen Timothy

PY - 2014/1/13

Y1 - 2014/1/13

N2 - Numerical simulations reveal a family of hierarchical and chiral multicontinuous network structures self-assembled from a melt blend of Y-shaped ABC and ABD three-miktoarm star terpolymers, constrained to have equal-sized A/B and C/D chains, respectively. The C and D majority domains within these patterns form a pair of chiral enantiomeric gyroid labyrinths (srs nets) over a broad range of compositions. The minority A and B components together define a hyperbolic film whose midsurface follows the gyroid minimal surface. A second level of assembly is found within the film, with the minority components also forming labyrinthine domains whose geometry and topology changes systematically as a function of composition. These smaller labyrinths are well described by a family of patterns that tile the hyperbolic plane by regular degree-three trees mapped onto the gyroid. The labyrinths within the gyroid film are densely packed and contain either graphitic hcb nets (chicken wire) or srs nets, forming convoluted intergrowths of multiple nets. Furthermore, each net is ideally a single chiral enantiomer, induced by the gyroid architecture. However, the numerical simulations result in defect-ridden achiral patterns, containing domains of either hand, due to the achiral terpolymeric starting molecules. These mesostructures are among the most topologically complex morphologies identified to date and represent an example of hierarchical ordering within a hyperbolic pattern, a unique mode of soft-matter self-assembly.

AB - Numerical simulations reveal a family of hierarchical and chiral multicontinuous network structures self-assembled from a melt blend of Y-shaped ABC and ABD three-miktoarm star terpolymers, constrained to have equal-sized A/B and C/D chains, respectively. The C and D majority domains within these patterns form a pair of chiral enantiomeric gyroid labyrinths (srs nets) over a broad range of compositions. The minority A and B components together define a hyperbolic film whose midsurface follows the gyroid minimal surface. A second level of assembly is found within the film, with the minority components also forming labyrinthine domains whose geometry and topology changes systematically as a function of composition. These smaller labyrinths are well described by a family of patterns that tile the hyperbolic plane by regular degree-three trees mapped onto the gyroid. The labyrinths within the gyroid film are densely packed and contain either graphitic hcb nets (chicken wire) or srs nets, forming convoluted intergrowths of multiple nets. Furthermore, each net is ideally a single chiral enantiomer, induced by the gyroid architecture. However, the numerical simulations result in defect-ridden achiral patterns, containing domains of either hand, due to the achiral terpolymeric starting molecules. These mesostructures are among the most topologically complex morphologies identified to date and represent an example of hierarchical ordering within a hyperbolic pattern, a unique mode of soft-matter self-assembly.

U2 - 10.1073/pnas.1316348111

DO - 10.1073/pnas.1316348111

M3 - Journal article

VL - 111

SP - 1271

EP - 1276

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

SN - 0027-8424

IS - 4

ER -

ID: 109274503