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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...
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Two Components: Liquid–Liquid Systems01:27

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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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Phase Transitions: Melting and Freezing02:39

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Heating a crystalline solid increases the average energy of its atoms, molecules, or ions, and the solid gets hotter. At some point, the added energy becomes large enough to partially overcome the forces holding the molecules or ions of the solid in their fixed positions, and the solid begins the process of transitioning to the liquid state or melting. At this point, the temperature of the solid stops rising, despite the continual input of heat, and it remains constant until all of the solid is...
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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...
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Membrane fluidity is explained by the fluid mosaic model of the cell membrane, which describes the plasma membrane structure as a mosaic of components—including phospholipids, cholesterol, proteins, and carbohydrates—that gives the membrane a fluid character.
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Updated: Mar 22, 2026

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A COSMO-RS based first-principles framework for analyzing microemulsion phase diagram trends.

Fei Han1, Xiaodong Liang1, Georgios M Kontogeorgis1

  • 1Center for Energy Resources Engineering (CERE), Department of Chemical and Biochemical Engineering, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark.

Journal of Colloid and Interface Science
|March 20, 2026
PubMed
Summary
This summary is machine-generated.

A new computational framework accurately predicts microemulsion phase behavior using molecular-level thermodynamics. This method identifies key indicators like minimum interfacial tension (IFT) and surfactant partitioning to guide material design without empirical fitting.

Keywords:
COSMO-RSDFT calculationFish diagramInterfacial tensionMicroemulsionPartition coefficient (log(P))Water cluster

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Area of Science:

  • Physical Chemistry
  • Materials Science
  • Computational Modeling

Background:

  • Microemulsion phase diagrams are crucial for understanding material properties but lack universal molecular-scale thermodynamic descriptors.
  • Existing models often require empirical fitting, limiting their general applicability.
  • Predicting phase behavior across temperature and composition is essential for designing advanced materials.

Purpose of the Study:

  • To develop a first-principles computational framework for analyzing microemulsion phase behavior.
  • To establish universally applicable thermodynamic descriptors for molecular-scale analysis.
  • To predict temperature-composition dependent phase behavior without empirical fitting.

Main Methods:

  • Combined density functional theory (DFT) with the COSMO-RS model for first-principles calculations.
  • Evaluated oil-water interfacial tension (IFT) and surfactant partition coefficient (log(P)) as key indicators.
  • Identified minimum-IFT curves and log(P) = 0 conditions to describe phase behavior.

Main Results:

  • The model accurately reproduces experimental oil-water IFT and temperature dependencies in binary systems.
  • The minimum-IFT curve successfully captures topological features of experimental phase diagrams in ternary systems.
  • The log(P) = 0 condition provides an efficient alternative for single-surfactant systems, indicating balanced affinity.

Conclusions:

  • The developed framework offers a physically grounded and computationally efficient method for analyzing microemulsion phase behavior.
  • This approach provides a route to predict phase diagrams in temperature-composition space without system-specific empirical parameters.
  • The identified thermodynamic indicators serve as reliable descriptors for phase inversion and Winsor III region prediction.