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Entropy

Entropy

Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...

Entropy

Entropy

The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...

Third Law of Thermodynamics

Third Law of Thermodynamics

A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.

Entropy and Solvation

Entropy and Solvation

The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...

The Colloidal State

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...

Entropy and the Second Law of Thermodynamics

Entropy and the Second Law of Thermodynamics

The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...

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Related Experiment Video

Updated: Apr 4, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

COLLOIDS. Colloidal matter: Packing, geometry, and entropy.

Vinothan N Manoharan¹

¹Harvard John A. Paulson School of Engineering and Applied Sciences and Department of Physics, Harvard University, Cambridge, MA 02138, USA. vnm@seas.harvard.edu.

Science (New York, N.Y.)

|August 29, 2015

Summary

This summary is machine-generated.

Colloidal particles, like atoms, form complex phases. Their collective behavior, influenced by shape and geometry, reveals how entropy drives matter organization and dynamics.

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Area of Science:

Soft Matter Physics
Materials Science
Statistical Mechanics

Background:

Colloidal particles serve as model systems for studying self-organization.
These particles exhibit collective behaviors analogous to atoms but with unique complexities.
Their behavior is influenced by geometrical and topological factors.

Purpose of the Study:

To explore how matter organizes using colloidal particles as a model system.
To investigate the role of geometrical constraints on particle behavior.
To understand the influence of entropy on matter structure and dynamics.

Main Methods:

Utilizing colloidal particles with controlled shapes and interactions.
Applying geometrical concepts, such as packing, to analyze particle behavior.
Investigating the effects of short-ranged inter-particle interactions.

Main Results:

Colloidal particles form bulk phases like liquids and crystals.
Geometrical and topological constraints significantly affect particle collective behavior.
Entropy's role in matter structure and formation dynamics is elucidated through a geometrical lens.

Conclusions:

Colloidal systems are valuable for understanding fundamental principles of self-organization.
Geometrical viewpoints provide insights into entropy-driven matter formation.
The study highlights unique collective behaviors not observed at the atomic scale.