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Thermodynamically accessible titanium clusters TiN, N = 2-32.

Tomas Lazauskas1, Alexey A Sokol, John Buckeridge

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Researchers explored titanium nitride (TiN) clusters using genetic algorithms and density functional theory (DFT). They discovered a unique growth mechanism based on interpenetrating polyhedra, forming coordination centers that influence cluster morphology.

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Condensed Matter Physics

Background:

  • Understanding the atomic structure and growth mechanisms of small clusters is crucial for designing novel materials with tailored properties.
  • Titanium nitride (TiN) clusters are of interest due to their potential applications in catalysis, coatings, and electronics.

Purpose of the Study:

  • To investigate the structural properties and growth mechanisms of small titanium nitride (TiN) clusters (N = 2-32).
  • To identify key structural motifs and nucleation centers that govern cluster formation and morphology.

Main Methods:

  • Employed a genetic algorithm search to explore the potential energy surface (PES) of TiN clusters.
  • Utilized density functional theory (DFT) calculations with PBEsol and PBEsol0 functionals for accurate structural refinement and energy evaluation.
  • Analyzed cluster structures, growth patterns, and surface areas.

Main Results:

  • Identified low-energy TiN cluster structures characterized by interpenetrating icosahedra, icositetrahedra, and Frank-Kasper polyhedra.
  • Revealed a growth mechanism driven by the formation of coordination centers composed of these polyhedral units.
  • Found that these coordination centers act as nucleation sites, dictating the bulk and morphological features of medium-sized TiN clusters.

Conclusions:

  • The growth of TiN clusters follows a hierarchical mechanism involving the assembly of specific polyhedral building blocks around coordination centers.
  • The identified coordination centers are critical determinants of TiN cluster structure, stability, and morphology.
  • This study provides fundamental insights into the atomic-level formation of TiN clusters, relevant for computational materials design.