Kinetic and thermodynamic modified Wulff constructions for twinned nanoparticles

Emilie Ringe*, Richard P. Van Duyne, Laurence D. Marks

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

109 Scopus citations


Wulff constructions are a powerful tool to predict the shape of nanoparticles, which strongly influences their performance in catalysis, sensing, and surface-enhanced spectroscopies. Previous Wulff models focused on energy minimization and included contributions from the surface energy, interface energy, twin boundaries, and segregation-induced bulk energy changes. However, a large number of shapes cannot be understood by such thermodynamic approaches, in particular many of the twinned late transition metal (Ag, Au, Pt, Pd, etc.) particles of interest in catalysis and plasmonics. A review of the modified Wulff (i.e., twinned) construction is presented here, followed by the development of a modified kinetic Wulff model, which, by including kinetic parameters, explains the emergence of commonly observed shapes such as bitetrahedra, truncated bitetrahedra, thin triangular platelets, perfect decahedra, and decahedral rods.

Original languageEnglish (US)
Pages (from-to)15859-15870
Number of pages12
JournalJournal of Physical Chemistry C
Issue number31
StatePublished - Aug 8 2013

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • General Energy
  • Physical and Theoretical Chemistry
  • Surfaces, Coatings and Films


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