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Related Concept Videos

Phase Diagrams of Ternary Systems01:28

Phase Diagrams of Ternary Systems

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...
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.
Phase Diagram01:19

Phase Diagram

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).
Phase Diagram01:24

Phase Diagram

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...
Phase Transitions: Sublimation and Deposition02:33

Phase Transitions: Sublimation and Deposition

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...
The Phase Rule01:20

The Phase Rule

The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...

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Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
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Computing the phase diagram of binary mixtures: a patchy particle case study.

Lorenzo Rovigatti1, Daniel de las Heras, José Maria Tavares

  • 1Dipartimento di Fisica, Università di Roma La Sapienza, Roma, Italy.

The Journal of Chemical Physics
|May 3, 2013
PubMed
Summary

This study explores the phase behavior of patchy particle mixtures using simulations and theory. We mapped critical points and their temperature dependence, revealing insights into mixture properties.

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Area of Science:

  • Physical Chemistry
  • Computational Materials Science

Background:

  • Patchy particles are model systems for understanding self-assembly in complex fluids.
  • Predicting phase behavior in multi-component systems is crucial for materials design.

Purpose of the Study:

  • To investigate the phase behavior of 2D and 3D mixtures of functional patchy particles.
  • To determine how critical parameters of these mixtures vary with temperature.
  • To extend simulation methods for comprehensive phase behavior analysis.

Main Methods:

  • Monte Carlo simulations were employed to model particle interactions.
  • Wertheim theory was used for theoretical predictions of phase diagrams.
  • Successive umbrella sampling was adapted for mixture analysis across various conditions.

Main Results:

  • Critical points for pure 2D and 3D patchy particle systems were calculated.
  • The influence of temperature on critical parameters in mixtures was systematically studied.
  • The adapted sampling method successfully extracted phase behavior data for mixtures.

Conclusions:

  • The study provides a detailed understanding of phase transitions in patchy particle mixtures.
  • The findings contribute to the predictive modeling of self-assembling materials.
  • The developed simulation approach enhances the study of complex fluid phase behavior.