HSE Physicists Propose Unified Theory for Describing Electric Double Layer

To develop more efficient batteries and catalysts, it is essential to understand the processes occurring at the metal–solution interface in the electric double layer (EDL). Physicists at HSE MIEM have proposed a unified theoretical model of the EDL that simultaneously accounts for selective adsorption of ions on the surface and partial charge transfer between ions and the metal—phenomena that had previously been described separately. The model’s predictions are consistent with experimental data. In the future, it may be used in the development of batteries, supercapacitors, and catalysts. The study has been published in Electrochimica Acta.
All electrochemical devices have a surface through which electric charge is transferred. In batteries and supercapacitors, these surfaces are electrodes—usually metal plates—with the space between them filled with an electrolyte containing ions. At the interface between the metal and the electrolyte, the ions approach the surface, arrange themselves near it, and partially redistribute their electron density. This process leads to the formation of the electric double layer (EDL)—the region at the interface between the metal and the electrolyte where charge accumulates. The properties of the EDL determine how much charge an electrode can store, how quickly it can release that charge, and how efficiently reactions occur on its surface. Therefore, it is crucial to have an accurate theoretical description of this region.
For a long time, descriptions of the EDL were fragmented, requiring several models to be combined. Researchers at the HSE MIEM Laboratory for Computational Physics have developed a theoretical model in which both layers are described by a single system of equations. The model accounts for two key processes: specific adsorption—the 'sticking' of ions to the surface due to chemical interactions—and partial charge transfer, in which an ion and the electrode exchange a fraction of an electron’s charge.

To develop the description using quantum chemical calculations and computer simulations, the researchers studied how an ion behaves in solution near a metal surface: the distance at which it is typically located, the strength of its attraction to the metal, and the fraction of charge it can transfer. The resulting values were used as model parameters and incorporated into a more general theoretical framework describing the entire electric double layer.
The model was tested on systems involving silver electrodes and solutions of KPF₆ (potassium hexafluorophosphate), NaF (sodium fluoride), as well as a mixture of the two, and the results were compared with available experimental data. The model accurately reproduced capacitance measurements and explained the behaviour of the sodium fluoride–potassium hexafluorophosphate mixture within the EDL. In this mixture, one type of ion is preferentially adsorbed while the other is nearly absent, and the model correctly describes the displacement of one type of ion by the other.
Yury Budkov
'To develop efficient batteries and catalysts, it is essential to understand what happens at the metal–solution interface within the EDL,' explains Prof. Yury Budkov of HSE MIEM. 'Our model accounts for both how strongly ions adhere to the surface and how they exchange charge with the metal. In the future, we plan to adapt the model to systems in which these effects are more pronounced, such as electrocatalysis. This will allow calculations to provide deeper insight into how the choice of metal and electrolyte influences EDL properties and to apply this knowledge in the design of new electrochemical devices.'
The study was conducted within the framework of the Mirror Laboratories project 'Predicting the Properties of Molecular Systems: Combining Machine Learning Methods and Classical Modelling Methods.'
See also:
Physicists Find a Way to Model Ion Parameters in Plasma in Seconds
Researchers from HSE University and the Moscow Institute of Physics and Technology (MIPT) have developed a set of simple analytical methods for calculating the properties of heavy ions in helium under the influence of a strong electric field. The new approach speeds up calculations of ion mobility and ion–molecule reaction rates by thousands of times while maintaining sufficient accuracy for plasma jet modelling. The findings have been published in the journal Physica Scripta.
Two Years of Growth or Decline: How to Choose an Investment Strategy
Economists from HSE University, together with colleagues from international universities, have analysed stock market movements over almost a century and proposed an investment strategy that could have delivered returns nearly twice as high as the market average. Their research suggests following a momentum strategy during periods of sustained market growth and switching to a value strategy after prolonged market declines. The study has been published in the Journal of Banking and Finance.
Researchers Reveal Link Between Attention and Communication Difficulties in Autism
Researchers at HSE University have examined how communication difficulties in children with autism are related to brain function. The findings show that not only language networks but also attention networks play an important role. The weaker the connections involved in maintaining focus and switching attention, the more pronounced communication difficulties were. The study has been published in European Child & Adolescent Psychiatry.
Scientists Discover Why Some People Wore Masks During COVID-19 While Others Did Not
Why do some people voluntarily follow new rules while others ignore them? Researchers at HSE University have found that the answer lies not so much in people's willingness to cooperate, as previously believed, but in their ability to empathise with others. Empathy proved to be the strongest predictor of whether people chose to wear face masks voluntarily during the COVID-19 pandemic. The findings have been published in Frontiers.
Physicists at HSE University and FIAN Discover Way to 'Photograph' Sound for Testing Materials Used in 6G Communications
Researchers at HSE University, in collaboration with colleagues from the Lebedev Physical Institute of the Russian Academy of Sciences (FIAN), have developed a method for rapidly determining how firmly a film is bonded to a substrate. This is important for the creation of ultrahigh-frequency acoustic filters, which are key components of next-generation 5G and 6G communications. For the first time, researchers have succeeded in measuring the lateral rigidity of the bond between a two-dimensional material film and a substrate in this way. The study results have been published in Applied Physics Letters.
Scientists Create Open Dataset for Studying Concentration
A team of Russian researchers, including scientists from HSE University–St Petersburg, has developed the first open multimodal dataset containing recordings of brain activity, heart function, and video observations to help researchers understand what happens in the human brain during deep concentration. In the future, the dataset could accelerate the development of neural interfaces, rehabilitation technologies, and AI systems. The article has been published in Scientific Data.
Scientists Propose Method for More Efficient Resource Use in Machine Learning
An international group of researchers, including mathematicians from the AI and Digital Science Institute at the HSE Faculty of Computer Science, has provided a theoretical justification for a simple and computationally efficient method of estimating uncertainty in Stochastic Gradient Descent (SGD). The paper has been published on the scientific preprint server arXiv.org and presented at AISTATS 2026.
Team Success: Aligning Means with Objectives
In corporations, sports, and academia, people often face challenges they cannot handle alone. In such cases, selecting the right team is crucial. Tatiana Mayskaya, Associate Professor at the HSE Faculty of Economic Sciences and the International College of Economics and Finance, together with colleagues from foreign universities, examined team characteristics and found that less diverse teams are better suited to objectives where a high average performance is important, whereas more diverse teams are preferable when avoiding failure is critical. The paper has been published in Economic Theory.
Economists Propose More Effective Approach to Reducing Smoking
Economists at HSE University have examined how smokers respond to changes in cigarette prices. When tobacco prices increase, cigarette consumption does not always decline. In fact, spending on tobacco may even rise: according to the researchers, a 1% decrease in cigarette affordability leads to a 0.28% increase in per capita tobacco expenditure. The findings suggest that to reduce smoking rates, tobacco prices must rise faster than household incomes. The study has been published in Voprosy Statistiki.
Biologists Discover Unique Properties of MiR-93-5p MicroRNA in Prostate Cancer
Researchers at the International Laboratory of Microphysiological Systems of the HSE Faculty of Biology and Biotechnology investigated how different isoforms of the same microRNA influence gene function in prostate adenocarcinoma. The study found that in some cases, microRNAs can reinforce each other’s effects by targeting and suppressing the same genes. This finding offers a fresh perspective on the molecular mechanisms underlying tumour development and on the search for disease biomarkers. The results have been published in PeerJ.


