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Periodic supercell models of electric double layers formed at the interface between a charged surface and an electrolyte are subject to serious finite size errors and require certain adjustments in the treatment of the long-range…

Chemical Physics · Physics 2024-07-10 Thomas Sayer , Chao Zhang , Michiel Sprik

The electrical double layer (EDL) at aqueous solution-metal oxide interfaces critically affects many fundamental processes in electrochemistry, geology and biology, yet understanding its microscopic structure is challenging for both theory…

The structure and thickness of the electrical double layer (EDL) at carbon electrodes strongly influence electrochemical performance, yet remain poorly understood in super-concentrated aqueous electrolytes. Here we combine classical and…

For the structure of the thin electrical double layer~(EDL) and the property related to the EDL capacitance, we analyze boundary layer solutions (corresponding to the electrostatic potential) of a non-local elliptic equation which is a…

Analysis of PDEs · Mathematics 2018-07-31 Chiun-Chang Lee

Surfaces of ionic solids interacting with an ionic solution can build up charge by exchange of ions. The surface charge is compensated by a strip of excess charge at the border of the electrolyte forming an electric double layer. These…

Chemical Physics · Physics 2016-12-21 Chao Zhang , Michiel Sprik

Electrical double layer (EDL) is formed when an electrode is in contact with an electrolyte solution, and is widely used in biophysics, electrochemistry, polymer solution and energy storage. Poisson-Boltzmann (PB) coupled equations provides…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Cherq Chua , Chun Yun Kee , L. K. Ang , Yee Sin Ang

We consider equilibrium statistical mechanics of a simplified model for the ideal conductor electrode in an interface contact with a classical semi-infinite electrolyte, modeled by the two-dimensional Coulomb gas of pointlike $\pm$ unit…

Statistical Mechanics · Physics 2009-11-11 L. Samaj , Z. Bajnok

A nonlinear phase-field model is developed to simulate corrosion damage. The motion of the electrode$-$ electrolyte interface follows the usual kinetic rate theory for chemical reactions based on the Butler-Volmer equation. The model links…

Chemical Physics · Physics 2024-08-28 M. Makuch , S. Kovacevic , M. R. Wenman , E. Martínez-Pañeda

The Ewald3D sum with the tinfoil boundary condition (e3dtf) evaluates the electrostatic energy of a finite unit cell inside an infinitely periodic supercell. Although it has been used as a {\it de facto} standard treatment of electrostatics…

Chemical Physics · Physics 2019-07-24 Cong Pan , Shasha Yi , Zhonghan Hu

Metal-oxide surfaces act as both Br{\o}nsted acids and bases, which allows the exchange of protons with the electrolyte solution and generates either positive or negative proton charges depending on the environmental pH. These interfacial…

Chemical Physics · Physics 2024-08-13 Lisanne Knijff , Mei Jia , Chao Zhang

A phenomenological theory of electric double layer polarization of blocking electrode is presented solving modified Debye-Falkenhagen (MDF) equation for potential, under the impedance boundary condition. The dynamic impedance and…

Materials Science · Physics 2011-03-04 Maibam Birla Singh , Rama Kant

The electric double layer (EDL) governs electrocatalysis, energy conversion, and storage, yet its atomic structure, capacitance, and reactivity remain elusive. Here we introduce a machine learning interatomic potential framework that…

Chemical Physics · Physics 2025-09-18 Xiaoyu Wang , Junmin Chen , Zezhu Zeng , Frederick Stein , Junho Lim , Bingqing Cheng

The electrical double layer at infinite flat solid surface was discussed with respect to the triple layer model. Charge density at the outer Helmholtz plane is assumed to be zero usually. However, the assumption causes the position of the…

Chemical Physics · Physics 2007-05-23 Jong U. Kim

The electric double layer (EDL) formed around charged nanostructures at the liquid-solid interface determines their electrochemical activity and influences their electrical and optical polarizability. We experimentally demonstrate that…

Soft Condensed Matter · Physics 2020-04-29 Kevin Namink , Xuanhui Meng , Marc T. M. Koper , Philipp Kukura , Sanli Faez

In electrochemical systems, the structure of electrical double layers (EDLs) near electrode surfaces is crucial for energy conversion and storage functions. While the electrodes in real-world systems are usually heterogeneous, to date the…

Understanding electrochemical interfaces at a microscopic level is essential for elucidating important electrochemical processes in electrocatalysis, batteries and corrosion. While \textit{ab initio} simulations have provided valuable…

Chemical Physics · Physics 2025-07-08 Jia-Xin Zhu , Jun Cheng

Surfaces of metal oxides at working conditions are usually electrified due to the acid-base chemistry. The charged interface compensated with counterions forms the so-called electric double layer. The coupling of surface chemistry and…

Soft Condensed Matter · Physics 2019-07-02 Chao Zhang , Jürg Hutter , Michiel Sprik

The electric double layer (EDL) that forms at the interface between a polyelectrolyte gel and a salt bath is studied using asymptotic and numerical methods. Specifically, matched asymptotic expansions, based on the smallness of the Debye…

Soft Condensed Matter · Physics 2022-01-28 Matthew G. Hennessy , Giulia L. Celora , Andreas Münch , Barbara Wagner , Sarah L. Waters

The solvation environments of Li$^+$ in conventional non-aqueous battery electrolytes, such as LiPF$_6$ in mixtures of ethylene carbaronate (EC) and ethyl methyl carbonate (EMC), are often used to rationalize the transport properties of…

Statistical Mechanics · Physics 2026-05-20 Zachary A. H. Goodwin , Daniel M. Markiewitz , Qisheng Wu , Yue Qi , Martin Z. Bazant

Electrode-electrolyte interfaces are crucial for electrochemical energy conversion and storage. At these interfaces, the liquid electrolytes form electrical double layers (EDLs). However, despite more than a century of active research, the…

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