Critical length of a one-dimensional nucleus

Mark N. Joswiak, Michael F. Doherty, Baron Peters

Research output: Contribution to journalArticlepeer-review


One-dimensional (1D) nucleation is important in crystal growth, amyloid fibril formation, and supramolecular polymerization. The nucleation rate can be readily calculated, but there is no consensus on the critical length. In this work, we employ a splitting probability to derive an analytical expression for the critical length, which corresponds to a 50% survival probability. For a 1D nucleus on a crystal step, this critical length depends on the supersaturation (driving force) and is nearly independent of the kink (surface) energy.

Original languageEnglish (US)
Article number211916
JournalJournal of Chemical Physics
Issue number21
StatePublished - Dec 7 2016
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry


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