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dc.contributor.authorGibaud, Thomas  Concept link
dc.contributor.authorKaplan, C. Nadir  Concept link
dc.contributor.authorSharma, Prerna  Concept link
dc.contributor.authorWard, Andrew  Concept link
dc.contributor.authorZakhary, Mark J.  Concept link
dc.contributor.authorOldenbourg, Rudolf  Concept link
dc.contributor.authorMeyer, Robert B.  Concept link
dc.contributor.authorKamien, Randall D.  Concept link
dc.contributor.authorPowers, Thomas R.  Concept link
dc.contributor.authorDogic, Zvonimir  Concept link
dc.date.accessioned2017-04-19T17:53:16Z
dc.date.available2017-04-19T17:53:16Z
dc.date.issued2016-11
dc.identifier.urihttp://hdl.handle.net/1912/8922
dc.descriptionAuthor Posting. © The Author(s), 2016. This is the author's version of the work. It is posted here for personal use, not for redistribution. The definitive version was published in Proceedings of the National Academy of Sciences of the United States of America (2017), doi:10.1073/pnas.1617043114 .en_US
dc.description.abstractIn the presence of a non-adsorbing polymer, monodisperse rod-like particles assemble into colloidal membranes, which are one rod-length thick liquid-like monolayers of aligned rods. Unlike 3D edgeless bilayer vesicles, colloidal monolayer membranes form open structures with an exposed edge, thus presenting an opportunity to study physics of thin elastic sheets. Membranes assembled from single-component chiral rods form flat disks with uniform edge twist. In comparison, membranes comprised of mixture of rods with opposite chiralities can have the edge twist of either handedness. In this limit disk-shaped membranes become unstable, instead forming structures with scalloped edges, where two adjacent lobes with opposite handedness are separated by a cusp-shaped point defect. Such membranes adopt a 3D configuration, with cusp defects alternatively located above and below the membrane plane. In the achiral regime the cusp defects have repulsive interactions, but away from this limit we measure effective long-ranged attractive binding. A phenomenological model shows that the increase in the edge energy of scalloped membranes is compensated by concomitant decrease in the deformation energy due to Gaussian curvature associated with scalloped edges, demonstrating that colloidal membranes have positive Gaussian modulus. A simple excluded volume argument predicts the sign and magnitude of the Gaussian curvature modulus that is in agreement with experimental measurements. Our results provide insight into how the interplay between membrane elasticity, geometrical frustration and achiral symmetry breaking can be used to fold colloidal membranes into 3D shapes.en_US
dc.description.sponsorshipT.G. acknowledges the Agence National de la Recherche Française (ANR-11-PDOC-027) for support. P.S., C.N.K, R.B.M. and Z.D acknowledge support of National Science Foundation through grants: MRSEC-1420382, NSF-DMR-0955776 and NSF-DMR-1609742.en_US
dc.language.isoen_USen_US
dc.relation.urihttps://doi.org/10.1073/pnas.1617043114
dc.titleAchiral symmetry breaking and positive Gaussian modulus lead to scalloped colloidal membranesen_US
dc.typePreprinten_US


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