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Related Concept Videos

Liquid–Solid Solutions01:29

Liquid–Solid Solutions

The process of a solid dissolving in a liquid to form a solution is governed by the solubility limit, which is the maximum amount of the solid substance, or solute, that can be dissolved in a specific volume of the liquid or solvent. As the solute dissolves, it reaches a point where no more solute can be dissolved at a given temperature - this is known as the saturation point. However, if further solute is added and it manages to dissolve, the solution becomes supersaturated. Supersaturated...
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A pressure-composition phase diagram explicitly describes the behavior of an ideal solution of two volatile liquids under varying pressures and compositions. A pressure-composition diagram has two main curves. The bubble point curve represents the plot of pressure versus liquid mole fraction. It indicates the pressure at which the first bubble of vapor forms from the liquid phase as the system pressure decreases.The dew point curve is the pressure versus vapor mole fraction. It indicates the...
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Updated: Jun 21, 2026

Nanoscale Characterization of Liquid-Solid Interfaces by Coupling Cryo-Focused Ion Beam Milling with Scanning Electron Microscopy and Spectroscopy
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Solid-liquid interface free energy in binary systems: theory and atomistic calculations for the (110) Cu-Ag

T Frolov1, Y Mishin

  • 1Department of Physics and Astronomy, MSN 3F3, George Mason University, Fairfax, Virginia 22030, USA. tfrolov@gmu.edu

The Journal of Chemical Physics
|August 14, 2009
PubMed
Summary

We developed new thermodynamic methods to define interface free energy and stress in nonhydrostatic solids. Simulations of Cu-Ag interfaces show these properties are sensitive to composition and highly anisotropic.

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Area of Science:

  • Materials Science
  • Thermodynamics
  • Computational Materials Science

Background:

  • Thermodynamics of solid-liquid interfaces is crucial for material properties.
  • Nonhydrostatic stress in solids complicates the definition of thermodynamic potentials.
  • Existing models often assume hydrostatic conditions, limiting applicability.

Purpose of the Study:

  • To develop a thermodynamic framework for solid-liquid interfaces under nonhydrostatic stress.
  • To define interface free energy and interface stress in such systems.
  • To provide methods suitable for atomistic simulations and validate them with an application.

Main Methods:

  • Derivation of thermodynamic relations for interface free energy and stress.
  • Formulation of adsorption equations and Gibbs-Helmholtz type equations.
  • Application of semigrand canonical Monte Carlo simulations for the Cu-Ag (110) interface.

Main Results:

  • Interface free energy was defined as an excess thermodynamic potential.
  • Interface stress was formulated as an excess over bulk stresses, showing non-uniqueness under nonhydrostatic conditions.
  • Cu-Ag simulations revealed decreasing interface free energy with increasing composition difference and highly anisotropic, compressive interface stress.

Conclusions:

  • The developed thermodynamic framework successfully defines interface properties for nonhydrostatic solids.
  • Atomistic simulations confirm the theoretical predictions and highlight the anisotropic nature of interface stress.
  • The methods are suitable for direct application in atomistic simulations without explicit interface profile construction.