Related Experiment Video
Updated: Jul 10, 2026

16:24
Controlling the Size, Shape and Stability of Supramolecular Polymers in Water
Published on: August 2, 2012
A limit of stability in supercooled liquid clusters
Eduardo Mendez-Villuendas1, Ivan Saika-Voivod, Richard K Bowles
1Department of Chemistry, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5C9, Canada.
The Journal of Chemical Physics
|October 24, 2007
Summary
Researchers studied the free energy landscape of supercooled gold nanoclusters. They found that freezing becomes a barrierless process at low temperatures, challenging existing theories.
Area of Science:
- Physical Chemistry
- Materials Science
- Nanotechnology
Background:
- Supercooled liquids can exhibit metastable phases.
- Understanding the stability limits of these phases is crucial for predicting material behavior.
- Gold nanoclusters provide a model system for studying phase transitions at the nanoscale.
Purpose of the Study:
- To investigate the free energy landscape of the metastable liquid phase in supercooled gold nanoclusters.
- To determine the limit of stability for the liquid phase.
- To compare experimental findings with mean-field theory predictions.
Main Methods:
- Utilizing the largest solidlike embryo as an order parameter to study the free energy landscape.
- Calculating the rate of nucleation independently from free energy calculations.
- Analyzing the temperature dependence of nucleation rates.
Main Results:
- The free energy landscape shows a local minimum and a maximum at critical embryo sizes just below freezing.
- At 660 K, the free energy becomes monotonically decreasing, indicating the limit of stability.
- The critical embryo size remains finite near the limit of stability, contrary to mean-field predictions.
- Nucleation rates increase rapidly as the free energy barrier approaches kT.
Conclusions:
- The study identifies the limit of stability for supercooled gold nanoclusters.
- Findings challenge mean-field theory predictions regarding critical embryo size.
- Observed nucleation behavior supports the hypothesis of barrierless freezing at low temperatures.
Related Concept Videos
Liquid–Solid Solutions
The process of a solid dissolving in a liquid to form a solution is governed by the solubility limit, which is the maximum amount of the solid substance, or solute, that can be dissolved in a specific volume of the liquid or solvent. As the solute dissolves, it reaches a point where no more solute can be dissolved at a given temperature - this is known as the saturation point. However, if further solute is added and it manages to dissolve, the solution becomes supersaturated. Supersaturated...
Phase Transitions: Melting and Freezing
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...
Recrystallization: Solid–Solution Equilibria
Recrystallization is a purification technique used to separate impurities from solid compounds. In this technique, no chemical reactions occur. Instead, it exploits physical properties only, specifically, the solubility differences between the desired compound and impurities, either at a single temperature or at different temperatures, and under other selected conditions. The solid-solution equilibrium (solubility equilibrium) of each component in the solution represents a binary phase...
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.
Stability of Equilibrium Configuration
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
The Colloidal State
The formation of a colloidal system is exemplified by an aqueous solution containing Cl− ions is introduced to another containing Ag+ ions, resulting in the precipitation of solid AgCl as extremely tiny crystals. Instead of settling out as a filterable precipitate, these crystals remain suspended in the liquid, showcasing a colloidal system.A colloidal system involves colloidal particles within the approximate range of 1 to 1000 nm in at least one dimension, dispersed in a medium called the...

