Optimized monotonic convex pair potentials stabilize low-coordinated crystals

E. Marcotte, F. H. Stillinger, S. Torquato

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


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 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 2 over a non-zero number density range. Such interactions may be feasible to achieve experimentally using colloids and polymers.

Original languageEnglish (US)
Pages (from-to)2332-2335
Number of pages4
JournalSoft matter
Issue number6
StatePublished - Mar 21 2011

All Science Journal Classification (ASJC) codes

  • General Chemistry
  • Condensed Matter Physics


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