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Related Experiment Video

Updated: Jun 16, 2026

Synthesis and Characterization of Supramolecular Colloids

Synthesis and Characterization of Supramolecular Colloids

Published on: April 22, 2016

Phase diagram of colloid-rod system.

S K Lai¹, Xuhui Xiao

¹Department of Physics, Complex Liquids Laboratory, National Central University, Chungli 320, Taiwan. sklai@coll.phy.ncu.edu.tw

The Journal of Chemical Physics

|February 2, 2010

Summary

This study investigates colloidal hard sphere and rod mixtures using advanced theories. The research clarifies coexistence regions, revealing that the gas-liquid-solid area actually comprises distinct two-phase coexistence domains.

Area of Science:

Statistical Mechanics
Colloid Science
Physical Chemistry

Background:

Colloidal systems exhibit complex phase behavior.
Understanding phase coexistence is crucial for materials science.
Existing theories require refinement for mixtures.

Purpose of the Study:

To construct Helmholtz free energy densities for colloidal hard sphere and rod mixtures.
To determine phase coexistence regions using free energy minimization.
To clarify the nature of the gas-liquid-solid coexistence region.

Main Methods:

Semigrand ensemble theory for free energy calculations.
Fundamental measure density functional theory for mixture modeling.
Free energy density minimization for phase boundary determination.

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Main Results:

Helmholtz free energy densities were successfully constructed for the mixture.
The gas-liquid-solid coexistence region was identified as multiple two-phase coexistence domains.
Calculated phase boundaries show excellent agreement with prior theoretical work.

Conclusions:

The study accurately maps phase coexistence in colloidal mixtures.
The findings refine the understanding of complex phase diagrams.
Implications for three-phase coexistence in colloidal systems are discussed.