Journal
PHYSICAL REVIEW E
Volume 80, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.051503
Keywords
chirality; electric potential; electrostatics; nanofibres; pattern formation; self-assembly
Categories
Funding
- NSF [DMR 0907781]
- Department of Energy [DE-FG02-97ER2530]
- National Science Foundation [EEC-0647560]
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [0907781] Funding Source: National Science Foundation
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We study the optimal packing of triangular ionic lattices on the surface of nanofibers. We compute the favored orientation of the lattice with respect to the axis of the cylindrical fiber, and we determine the effects of the surface curvature. Electrostatic interactions prefer chiral arrangements only for special families of lattices that depend on the fiber diameter. However, there are families of lattices that energetically promote achiral configurations. Besides the long-range Coulomb interactions we consider the behavior of short-range elastic forces, represented by interconnected springs between neighboring ions. In this case a different family of achiral lattices is always preferred. We also show that varying the stoichiometric composition of charges, as well as including higher-order curvature effects, does not significantly modify such a scenario.
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