4.6 Article

Intrinsic curvature determines the crinkled edges of crenellated disks

Journal

SOFT MATTER
Volume 9, Issue 34, Pages 8210-8215

Publisher

ROYAL SOC CHEMISTRY
DOI: 10.1039/c3sm50488c

Keywords

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Funding

  1. NSF through MRSEC [0820492]
  2. Agence Nationale de la Recherche francaise [ANR-11-PDOC-027]
  3. Direct For Mathematical & Physical Scien
  4. Division Of Materials Research [0820492] Funding Source: National Science Foundation

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Elastic curvature constants determine many structural and functional properties of fluid membranes. Methods to measure the mean curvature modulus have proved to be robust. In contrast, Gaussian curvature is an intrinsic property of a surface. Thus, measuring the relevant modulus (k) over bar in fluid membranes remains a challenging task. Inspired from colloidal crenellated disks observed in a model system composed of hard rods, we propose a concise relation between the two curvature moduli and the parameters associated with the free, crinkled edges. Our approach offers a straightforward way to determine (k) over bar of these reconfigurable membranes, where various complex topologies can be nanosculpted. Further, we reveal the structure and stability of the crenellated disks.

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