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Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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Related Experiment Video

Updated: Mar 27, 2026

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles
08:39

Liquid-cell Transmission Electron Microscopy for Tracking Self-assembly of Nanoparticles

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Prediction of binary nanoparticle superlattices from soft potentials.

Nathan Horst1, Alex Travesset2

  • 1Department of Materials Science and Engineering, Iowa State University, Ames, Iowa 50011, USA.

The Journal of Chemical Physics
|January 10, 2016
PubMed
Summary

This study introduces a continuous short-ranged potential for modeling nanoparticle interactions, revealing phase diagrams that align with experimental self-assembly findings. The model accurately predicts nanoparticle assembly based on radius ratio and softness asymmetry.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Nanotechnology

Background:

  • Traditional hard sphere models inadequately describe nanoparticle interactions, failing to account for shell flexibility and phonon modes.
  • Continuous short-ranged potentials offer a more realistic approach to modeling nanoparticle behavior and self-assembly.
  • Existing self-assembly experiments utilize methods like DNA programmability and ligand-directed assembly.

Purpose of the Study:

  • To compute the solid phase diagram for nanoparticles interacting via an inverse power law potential.
  • To investigate the influence of potential short-range properties (p-exponent) on nanoparticle phase behavior.
  • To develop a model that quantitatively maps to experimental self-assembly results.

Main Methods:

  • Calculation of the solid phase diagram using an inverse power law potential.
  • Optimization of free energy across 24 candidate lattices and variation of the p-exponent (6-12).
  • Quantitative mapping of computed phase diagrams to experimental parameters: nanoparticle radius ratio (γ) and softness asymmetry.

Main Results:

  • The computed phase diagrams accurately predict phases observed in current nanoparticle self-assembly experiments.
  • The model demonstrates that a continuous short-ranged potential effectively captures shell flexibility and phonon modes.
  • Phase diagrams are quantitatively reproducible using only nanoparticle radius ratio and softness asymmetry.

Conclusions:

  • A continuous short-ranged potential provides a more accurate description of nanoparticle interactions than hard sphere models.
  • The developed model successfully predicts and explains experimental nanoparticle self-assembly phenomena.
  • Nanoparticle assembly behavior can be effectively controlled and predicted by tuning radius ratio and softness asymmetry.