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Solid–Solid Solutions01:24

Solid–Solid Solutions

The temperature-composition phase diagram of two solids, A and B, which are immiscible in the solid phase but form miscible liquids, shows that when the temperature is low, these two exist as separate, pure solids (A and B). As the temperature increases, they transition into a single-phase liquid solution where A and B coexist. Moving from point a1 to a2 in the phase diagram, the composition changes such that solid B begins to separate from the solution, enriching the remaining liquid with A.
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Analyzing Melts and Fluids from Ab Initio Molecular Dynamics Simulations with the UMD Package
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Published on: September 17, 2021

Solid-liquid coexistence in small systems: A statistical method to calculate melting temperatures.

Qi-Jun Hong1, Axel van de Walle

  • 1Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA.

The Journal of Chemical Physics
|September 14, 2013
PubMed
Summary

We developed a fast, accurate method using molecular dynamics simulations to calculate material melting points (MP). This approach reduces computational cost and ensures reliable MP predictions for materials science.

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Thermodynamics

Background:

  • Accurate calculation of material melting points (MP) is crucial for materials design and screening.
  • Traditional methods for MP calculation, such as large-scale coexistence simulations or fast-heating methods, have limitations in terms of computational cost or accuracy (e.g., risk of metastable states).

Purpose of the Study:

  • To propose an efficient and accurate scheme for calculating the melting point (MP) of materials.
  • To address the limitations of existing MP calculation methods by reducing computational cost and avoiding metastable states.

Main Methods:

  • The proposed method utilizes statistical analysis of small-size coexistence molecular dynamics simulations.
  • Validation was performed using empirical potentials, and the finite-size effect on calculated MPs was systematically studied.
  • Density functional theory (DFT) was employed for practical examples including tantalum, high-pressure sodium, and NaCl.

Main Results:

  • The method demonstrates convergence to the exact result in the limit of large system size.
  • An accuracy within 100 K for MP is typically achieved with simulations involving more than 100 atoms.
  • The approach proved accurate and flexible across different material types (elemental, high-pressure, and ionic).

Conclusions:

  • The developed method offers an efficient and accurate alternative for calculating material melting points.
  • It significantly reduces computational cost compared to traditional large-scale coexistence methods.
  • This approach is a promising tool for large-scale automated material screening where melting point is a key design criterion.