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Spatial Separation of Molecular Conformers and Clusters
10:37

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Published on: January 9, 2014

Multiple structural transformations in Lennard-Jones clusters: generic versus size-specific behavior.

Vladimir A Mandelshtam1, Pavel A Frantsuzov

  • 1Chemistry Department, University of California at Irvine, Irvine, California 92697, USA. mandelsh@uci.edu

The Journal of Chemical Physics
|June 16, 2006
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Summary

This study maps the phase diagram for Lennard-Jones clusters (LJn), revealing two generic phase transitions: an overlayer melting and a core melting or symmetry breaking transition. Size-specific behaviors are observed in symmetric clusters.

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Area of Science:

  • Physical Chemistry
  • Computational Physics
  • Materials Science

Background:

  • Understanding phase transitions in finite systems like atomic clusters is crucial for bridging molecular and bulk properties.
  • Lennard-Jones clusters provide a fundamental model for studying phase behavior due to their well-defined interatomic potentials.

Purpose of the Study:

  • To construct a size-temperature phase diagram for Lennard-Jones clusters (LJn) up to n=147.
  • To identify and characterize generic phase transitions and size-specific behaviors in these clusters.

Main Methods:

  • Utilized the exchange Monte Carlo method to compute heat capacities and orientational bond order parameter distributions.
  • Analyzed computed data to identify phase transitions and characterize cluster structures.

Main Results:

  • Established two generic phase transitions marked by heat capacity peaks: a lower-temperature overlayer melting (Mackay-anti-Mackay) and a higher-temperature core transition.
  • The higher-temperature transition involves core melting for three-layer clusters and breaking of icosahedral symmetry for two-layer clusters.
  • Observed pronounced size-specific behaviors, particularly in clusters with symmetric global minima, such as a solid-solid transition in LJ135.

Conclusions:

  • The constructed phase diagram reveals universal and size-dependent melting behaviors in Lennard-Jones clusters.
  • Distinguishes between overlayer and core transitions, highlighting the role of atomic packing and symmetry.
  • Provides insights into the fundamental mechanisms of phase transitions in nanoscale systems.