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Issue 6, 2011
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Optimized monotonic convex pair potentials stabilize low-coordinated crystals

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Abstract

We have previously used inverse statistical-mechanical methods to optimize isotropic pair interactions with multiple extrema to yield low-coordinated crystal classical ground states (e.g., honeycomb and diamond structures) in d-dimensional Euclidean space [Doublestruck R]d. Here we demonstrate the counterintuitive result that no extrema are required to produce such low-coordinated classical ground states. Specifically, we show that monotonic convex pair potentials can be optimized to yield classical ground states that are the square and honeycomb crystals in [Doublestruck R]2 over a non-zero number density range. Such interactions may be feasible to achieve experimentally using colloids and polymers.

Graphical abstract: Optimized monotonic convex pair potentials stabilize low-coordinated crystals

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Publication details

The article was received on 26 Oct 2010, accepted on 13 Jan 2011 and first published on 14 Feb 2011


Article type: Communication
DOI: 10.1039/C0SM01205J
Citation: Soft Matter, 2011,7, 2332-2335
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    Optimized monotonic convex pair potentials stabilize low-coordinated crystals

    É. Marcotte, F. H. Stillinger and S. Torquato, Soft Matter, 2011, 7, 2332
    DOI: 10.1039/C0SM01205J

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