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Related Concept Videos

Phase Diagram01:19

Phase Diagram

7.2K
The phase of a given substance depends on the pressure and temperature. Thus, plots of pressure versus temperature showing the phase in each region provide considerable insights into the thermal properties of substances. Such plots are known as phase diagrams. For instance, in the phase diagram for water (Figure 1), the solid curve boundaries between the phases indicate phase transitions (i.e., temperatures and pressures at which the phases coexist).
7.2K
Phase Diagram01:24

Phase Diagram

59
A phase diagram is a graphical representation of the physical states of a substance under different conditions of temperature and pressure. It shows the boundaries between solid, liquid, and gas phases and the conditions at which these phases coexist in equilibrium. An area in a phase diagram represents a single phase, whereas lines or phase boundaries represent the equilibrium between two phases.In the phase diagram of water, the boundary line between the solid and liquid states illustrates...
59
Electrochemical Systems01:24

Electrochemical Systems

51
Electrochemical systems provide a fascinating insight into the dynamic interplay of charged species within various phases. One notable example is the interaction between a membrane permeable to K⁺ ions but not to Cl⁻ ions, separating an aqueous KCl solution from pure water. As K⁺ ions diffuse through the membrane, they generate net charges on each phase, leading to a potential difference between them.Similarly, when a piece of Zn is immersed in an aqueous ZnSO₄ solution,...
51
Phase Diagrams of Ternary Systems01:28

Phase Diagrams of Ternary Systems

45
Consider a ternary system, which is composed of three components: water (W), ethanoic acid (E), and trichloromethane (T). Here, Ethanoic acid (E) is fully miscible with both water (W) and trichloromethane (T), meaning it can mix entirely with either of them. However, water and trichloromethane have partial miscibility, meaning they can only mix to a certain extent, beyond which two separate phases will form.The phase diagram of a ternary system is represented as an equilateral triangle, where...
45
Phase Diagrams02:39

Phase Diagrams

51.3K
A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
51.3K
Phase Transitions: Sublimation and Deposition02:33

Phase Transitions: Sublimation and Deposition

20.7K
Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...
20.7K

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Updated: Mar 18, 2026

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
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Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers

Published on: September 4, 2015

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Active learning potentials for first-principles phase diagrams using replica-exchange nested sampling.

Nico Unglert1, Michael Ketter1, Georg K H Madsen1

  • 1Institute of Materials Chemistry, TU Wien, Vienna, Austria.

Npj Computational Materials
|March 16, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces an automated active-learning strategy using replica-exchange nested sampling to generate materials data. This approach efficiently creates reliable machine-learning potentials and predicts accurate pressure-temperature phase diagrams.

Keywords:
ChemistryMaterials scienceMathematics and computingPhysics

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Area of Science:

  • Computational Materials Science
  • Materials Informatics
  • Statistical Mechanics

Background:

  • Predicting materials phase diagrams from first principles is computationally demanding.
  • Machine-learning interatomic potentials require extensive, representative training data for accuracy.
  • Current methods struggle with efficiently generating diverse and thermodynamically relevant data.

Purpose of the Study:

  • To develop a fully automated active-learning (AL) strategy for generating training data.
  • To compute complete pressure-temperature phase diagrams using machine-learning potentials.
  • To enhance the reliability and transferability of machine-learning interatomic potentials.

Main Methods:

  • Implemented an active-learning (AL) strategy integrated with replica-exchange nested sampling (RENS).
  • RENS served as both an exploration engine and data acquisition mechanism.
  • Selected configurations for DFT labeling based on RENS's diversity and likelihood-constrained sampling.

Main Results:

  • Successfully applied the RENS-based AL approach to silicon, germanium, and titanium.
  • Achieved convergence in approximately 10-15 AL iterations.
  • Generated transferable potentials that accurately reproduce known phase transitions and thermodynamic trends.

Conclusions:

  • The RENS-based AL strategy offers a general and autonomous method for creating machine-learning interatomic potentials.
  • This approach enables accurate prediction of materials phase diagrams across wide thermodynamic conditions.
  • Demonstrates a significant advancement in computational materials science for materials discovery and design.