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Ion Exchange01:17

Ion Exchange

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Ion exchange chromatography separates charged molecules from a solution by reversibly exchanging them with mobile, or 'active', ions associated with the oppositely charged stationary phase. This method can be used to separate ions, soften and deionize water, and purify solutions. The polymers comprising the ion-exchange column are high-molecular-weight and chemically stable polymers, crosslinked to be porous and essentially insoluble. They are also functionalized with either acidic or...
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The Significance of Membrane Transport01:44

The Significance of Membrane Transport

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The transport of solutes across the cell membrane is essential for metabolic processes, like maintaining cell size and volume, generating the action potential, exchanging nutrients and gases, etc. Membrane transport can be either passive or active. It can be simple diffusion, facilitated, or mediated transport aided by transport proteins such as transporters and channels.
Transporters facilitate either an active or passive movement of solutes. They can allow a single-molecule transport down its...
25.3K
Facilitated Transport01:19

Facilitated Transport

11.5K
The chemical and physical properties of plasma membranes cause them to be selectively permeable. Since plasma membranes have both hydrophobic and hydrophilic regions, substances need to be able to transverse both regions. The hydrophobic area of membranes repels substances such as charged ions. Therefore, such substances need special membrane proteins to cross a membrane successfully. In  facilitated transport, also known as facilitated diffusion, molecules and ions travel across a...
11.5K
Resting Potential Decay01:15

Resting Potential Decay

4.9K
The resting membrane potential of a neuron (-70mV) is sustained due to the selective ion permeability of the membrane. At the resting potential, the membrane is slightly permeable to ions like sodium (Na+) and chloride (Cl−) and highly permeable to potassium ions (K+). Differences in the ions' concentration inside the cell compared to the outside are maintained by membrane transport proteins like channels and pumps.
At rest, the K+ is the main ion that moves across the membrane...
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Water and Mineral Acquisition02:34

Water and Mineral Acquisition

32.9K
Specialized tissues in plant roots have evolved to capture water, minerals, and some ions from the soil. Roots exhibit a variety of branching patterns that facilitate this process. The outermost root cells have specialized structures called root hairs that increase the root surface, thus increasing soil contact. Water can passively cross into roots, as the concentration of water in the soil is higher than that of the root tissue. Minerals, in contrast, are actively transported into root cells.
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Theory of Metallic Conduction01:17

Theory of Metallic Conduction

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The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
An electron moves through the crystal, containing positive ions,...
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Related Experiment Video

Updated: Jun 25, 2025

Monitoring Protein Adsorption with Solid-state Nanopores
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Monitoring Protein Adsorption with Solid-state Nanopores

Published on: December 2, 2011

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A network model to predict ionic transport in porous materials.

Filipe Henrique1, Paweł J Żuk2,3, Ankur Gupta1

  • 1Department of Chemical and Biological Engineering, University of Colorado, Boulder, CO 80303.

Proceedings of the National Academy of Sciences of the United States of America
|May 24, 2024
PubMed
Summary

A new network model accelerates electric-double-layer charging predictions in porous electrodes by six orders of magnitude. This breakthrough enables efficient design of energy storage devices and analysis of electrode geometry effects.

Keywords:
charging dynamicselectrolyte transportenergy storageequivalent circuitporous materials

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Last Updated: Jun 25, 2025

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Area of Science:

  • Electrochemistry
  • Materials Science
  • Computational Modeling

Background:

  • Understanding electric-double-layer (EDL) charging in porous media is crucial for developing advanced energy storage solutions.
  • Current models face limitations due to high computational costs and simplified geometries, hindering progress in complex electrode designs.

Purpose of the Study:

  • To develop a computationally efficient network model for predicting EDL charging dynamics in arbitrary porous networks.
  • To overcome limitations of existing models by removing restrictions on EDL thickness and pore radii.
  • To investigate the influence of pore network architecture on electrode performance.

Main Methods:

  • Developed a network model based on modified Kirchhoff's laws for electrolyte transport in the Debye-Hückel limit.
  • Utilized an equivalent circuit representation for simulating charge density and electric potential.
  • Validated the model against direct numerical simulations, achieving significant speedups.

Main Results:

  • The network model accurately predicts EDL charging dynamics, matching results from computationally intensive simulations.
  • Achieved speedups of up to six orders of magnitude, enabling rapid simulation of large pore networks.
  • Demonstrated the impact of pore connectivity and polydispersity on charging time scales, energy density, and power density.

Conclusions:

  • The proposed network model offers a scalable and versatile tool for designing and optimizing porous electrodes for energy storage.
  • Provides insights into geometric effects on electrode impedance spectroscopy.
  • Facilitates the rational design of 3D-printed electrodes by efficiently simulating complex pore structures.