skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Electrostatics-Driven Hierarchical Buckling of Charged Flexible Ribbons

Journal Article · · Physical Review Letters
 [1];  [2]
  1. Northwestern Univ., Evanston, IL (United States); Shanghai Jiao Tong Univ. (China)
  2. Northwestern Univ., Evanston, IL (United States)

In this work, we investigate the rich morphologies of an electrically charged flexible ribbon, which is a prototype for many beltlike structures in biology and nanomaterials. Long-range electrostatic repulsion is found to govern the hierarchical buckling of the ribbon from its initially flat shape to its undulated and out-of-plane twisted conformations. In this process, the screening length is the key controlling parameter, suggesting that a convenient way to manipulate the ribbon morphology is simply to change the salt concentration. We find that these shapes originate from the geometric effect of the electrostatic interaction, which fundamentally changes the metric over the ribbon surface. We also identify the basic modes by which the ribbon reshapes itself in order to lower the energy. Finally, the geometric effect of the physical interaction revealed in this Letter has implications for the shape design of extensive ribbonlike materials in nano- and biomaterials.

Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Center for Bio-Inspired Energy Science (CBES)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0000989
OSTI ID:
1371276
Alternate ID(s):
OSTI ID: 1245334
Journal Information:
Physical Review Letters, Vol. 116, Issue 14; Related Information: CBES partners with Northwestern University (lead); Harvard University; New York University; Pennsylvania State University; University of Michigan; University of Pittsburgh; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

References (22)

Shape Selection in Chiral Self-Assembly journal October 2004
Charge distribution on annealed polyelectrolytes journal February 2000
Tuning Nanostructure Dimensions with Supramolecular Twisting journal November 2012
Direct Observation of Morphological Tranformation from Twisted Ribbons into Helical Ribbons journal July 2010
Helicoid to Spiral Ribbon Transition journal April 2005
The electrostatic origin of chiral patterns on nanofibers journal January 2009
Helicoids, Wrinkles, and Loops in Twisted Ribbons journal October 2013
Topological Defects in Flat Geometry: The Role of Density Inhomogeneity journal September 2013
The shape of a long leaf journal December 2009
Solutions of Negatively Charged Graphene Sheets and Ribbons journal November 2008
Spontaneous Chirality via Long-Range Electrostatic Forces journal July 2007
On the deformation of fluctuating chiral ribbons journal February 2002
Shape selection of twist-nematic-elastomer ribbons journal April 2011
Elastic free energy of anisotropic helical ribbons as metastable intermediates in the crystallization of cholesterol journal December 1993
Supramolecular self-assembly codes for functional structures
  • Palmer, Liam C.; Velichko, Yuri S.; Olvera de la Cruz, Monica
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 365, Issue 1855 https://doi.org/10.1098/rsta.2007.2024
journal April 2007
The Effects of Shape on the Interaction of Colloidal Particles journal May 1949
Nanobelts of Semiconducting Oxides journal March 2001
Chemically Derived, Ultrasmooth Graphene Nanoribbon Semiconductors journal February 2008
Self-Assembly of Giant Peptide Nanobelts journal March 2009
Adjustable twisting periodic pitch of amyloid fibrils journal January 2011
Negative Gaussian curvature from induced metric changes journal July 2015
Crystalline particle packings on constant mean curvature (Delaunay) surfaces journal July 2013

Cited By (1)

Electrostatic shape control of a charged molecular membrane from ribbon to scroll journal October 2019