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Related Concept Videos

Solvents01:12

Solvents

A solvent is a substance, most often a liquid, that can dissolve other substances. Here, the substance being dissolved is called a solute. When a solvent and a solute combine, they form a solution - a homogenous mixture of both the solvent and the solute. Water is a universal biological solvent. Its polar structure allows it to dissolve many other polar compounds. The ability of water to dissolve is governed by a balance between water molecules binding to each other and binding to the solute.
A...
Ionic Strength: Effects on Chemical Equilibria01:19

Ionic Strength: Effects on Chemical Equilibria

The addition of an inert ionic compound increases the solubility of a sparingly soluble salt. For example, adding potassium nitrate to a saturated solution of calcium sulfate significantly enhances the solubility of calcium sulfate. Le Châtelier's principle cannot predict this shift in the equilibrium. Instead, this could be explained in terms of changes in the effective concentration of the ions in solution in the presence of added inert salt.
In this solution, the primary cation—the calcium...
Electrolytes: van't Hoff Factor03:08

Electrolytes: van't Hoff Factor

Colligative Properties of ElectrolytesThe colligative properties of a solution depend only on the number, not on the identity, of solute species dissolved. The concentration terms in the equations for various colligative properties (freezing point depression, boiling point elevation, osmotic pressure) pertain to all solute species present in the solution. Nonelectrolytes dissolve physically without dissociation or any other accompanying process. Each molecule that dissolves yields one dissolved...
Solution Equilibrium and Saturation01:59

Solution Equilibrium and Saturation

Imagine adding a small amount of sugar to a glass of water, stirring until all the sugar has dissolved, and then adding a bit more. You can repeat this process until the sugar concentration of the solution reaches its natural limit, a limit determined primarily by the relative strengths of the solute-solute, solute-solvent, and solvent-solvent attractive forces. You can be certain that you have reached this limit because, no matter how long you stir the solution, undissolved sugar remains. The...
Solution Formation02:16

Solution Formation

There is no one solvent that can dissolve every type of solute. Some substances that readily dissolve in a certain solvent might be insoluble in a different solvent. A simple way to predict which substances dissolve in which solvent is the phrase "like dissolves like". This means that polar substances, such as salt and sugar, dissolve in a polar substance like water. In contrast, non-polar substances are more soluble in non-polar solvents such as carbon tetrachloride.
This selective solubility...
Electrolyte and Nonelectrolyte Solutions02:21

Electrolyte and Nonelectrolyte Solutions

Substances that undergo either a physical or a chemical change in solution to yield ions that can conduct electricity are called electrolytes. If a substance yields ions in solution, that is, if the compound undergoes 100% dissociation, then the substance is a strong electrolyte. Complete dissociation is indicated by a single forward arrow. For example, water-soluble ionic compounds like sodium chloride dissociate into sodium cations and chloride anions in aqueous solution.

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Finite-width bundle is most stable in a solution with salt.

Takuya Saito1, Kenichi Yoshikawa

  • 1Department of Physics, Kyushu University, Fukuoka 812-8581, Japan. saito@stat.phys.kyushu-u.ac.jp

The Journal of Chemical Physics
|August 7, 2010
PubMed
Summary
This summary is machine-generated.

Researchers studied polyelectrolyte bundles in salt baths using a mean-field approach. Findings reveal inhomogeneous charge distribution within bundles, maintaining finite width due to charge instability effects.

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Area of Science:

  • Physics
  • Polymer Science
  • Electrochemistry

Background:

  • Polyelectrolyte systems are crucial in various scientific fields.
  • Understanding charge distribution in bundled polyelectrolytes is complex.
  • Previous models often simplified the electrostatic interactions within such structures.

Purpose of the Study:

  • To investigate the electrostatic potential and counterion distribution in a columnar bundle of stiff polyelectrolyte rods.
  • To analyze the impact of bundle formation on the charge distribution of polyelectrolytes.
  • To explore the factors contributing to the finite width of polyelectrolyte bundles at thermal equilibrium.

Main Methods:

  • Application of the mean-field approach.
  • Division of electrostatic potential into intra-bundle and extra-bundle regions.
  • Utilizing a local self-consistent condition involving charge density, electrostatic potential, and net polarization.

Main Results:

  • The electrostatic potential exhibits distinct regions: condensed counterions inside the bundle and free ions outside.
  • Polyelectrolyte charges within the bundle are distributed inhomogeneously.
  • The finite width of the polyelectrolyte bundle is maintained at thermal equilibrium.

Conclusions:

  • The mean-field approach provides insights into the complex charge behavior of bundled polyelectrolytes.
  • Inhomogeneous charge distribution is a key factor in maintaining bundle stability.
  • Long-range charge instability effects play a significant role in the finite width of polyelectrolyte bundles.