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Transport Number

Transport Number

The transport number is the fraction of the total current carried by an ion in an electrolyte solution. It is defined as the ratio of the current carried by a specific ion to the total current flowing through the solution. The transport number, t, is central to understanding ionic mobility, which describes how fast an ion moves under the influence of an electric field. This link connects the physical behavior of ions in solution to the chemical processes that occur during electrochemical...

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 the...

Colloidal precipitates

Colloidal precipitates

The high insolubility of some precipitates can result in an unfavorable relative supersaturation. This can lead to colloidal particles with a large surface-to-mass ratio, where adsorption is promoted. For instance, in the precipitation of silver chloride, silver ions are adsorbed on the surface of the colloidal particles, forming a primary layer. This layer attracts ions of opposite charge (such as nitrate ions), forming a diffuse secondary layer of adsorbed ions. This electric double layer...

Washing, Drying, and Ignition of Precipitates

Washing, Drying, and Ignition of Precipitates

After filtration, the precipitate is washed to remove coprecipitated impurities and any remaining mother liquor. Colloidal precipitates, such as silver chloride, are washed with an electrolyte (such as dilute nitric acid) to prevent the peptization of the precipitate. In the case of slightly soluble precipitates, the wash solution contains a common ion to reduce solubility. Lead sulfate, which is slightly soluble in water, is washed with dilute sulfuric acid. Similarly, wash solutions may be...

Debye–Huckel–Onsager Conductance Equation

Debye–Huckel–Onsager Conductance Equation

The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect. According to this equation,...

Precipitation of Ions

Precipitation of Ions

Predicting Precipitation
The equation that describes the equilibrium between solid calcium carbonate and its solvated ions is:

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Related Experiment Video

Updated: May 23, 2026

Sedimentation Equilibrium of a Small Oligomer-forming Membrane Protein: Effect of Histidine Protonation on Pentameric Stability

Sedimentation Equilibrium of a Small Oligomer-forming Membrane Protein: Effect of Histidine Protonation on Pentameric Stability

Published on: April 2, 2015

Computer simulation of sedimentation of ionic systems using the Wolf method.

P X Viveros-Méndez¹, Alejandro Gil-Villegas

¹División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, Loma del Bosque 103, Lomas del Campestre, 37150 León, Guanajuato, México.

The Journal of Chemical Physics

|April 24, 2012

Summary

Computer simulations show the Wolf method accurately predicts electrolyte solution properties under gravity, offering significant computational speed advantages over Ewald summation methods.

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Sedimentation Equilibrium of a Small Oligomer-forming Membrane Protein: Effect of Histidine Protonation on Pentameric Stability

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Precise Electrochemical Sizing of Individual Electro-Inactive Particles

Precise Electrochemical Sizing of Individual Electro-Inactive Particles

Published on: August 4, 2023

Area of Science:

Computational chemistry
Physical chemistry
Statistical mechanics

Background:

Electrolyte solutions exhibit complex behavior under external fields.
Accurate simulation of Coulombic interactions is crucial for understanding these systems.
Comparing different summation methods is essential for computational efficiency.

Purpose of the Study:

To compare the accuracy and efficiency of Ewald and Wolf methods for simulating electrolyte solutions in a gravitational field.
To investigate thermodynamic and structural properties of 1:1 and 2:1 electrolyte solutions.
To evaluate different variations of Ewald and Wolf summation techniques.

Main Methods:

Monte Carlo simulations in the NVT ensemble.
Restrictive primitive model for electrolyte solutions.
Comparison of Ewald (EW2D, EW3DC, EW3D) and Wolf (WF3DC, WF3D) summation methods for Coulombic interactions.

Main Results:

Both Wolf and Ewald methods accurately predict thermodynamic and structural properties.
Properties studied include excess internal energies, isochoric heat capacities, and density/electrostatic potential profiles.
The Wolf method demonstrated significant computational time savings compared to Ewald methods.

Conclusions:

The Wolf method provides an accurate and computationally efficient alternative to Ewald summation for simulating inhomogeneous electrolyte systems.
Gravitational fields influence the properties of electrolyte solutions.
Computational efficiency is a key consideration for large-scale simulations.