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Darby JP, Kovács DP, Batatia I, Caro MA, Hart GLW, Ortner C, Csányi G. Tensor-Reduced Atomic Density Representations. PHYSICAL REVIEW LETTERS 2023; 131:028001. [PMID: 37505943 DOI: 10.1103/physrevlett.131.028001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/06/2022] [Accepted: 04/18/2023] [Indexed: 07/30/2023]
Abstract
Density-based representations of atomic environments that are invariant under Euclidean symmetries have become a widely used tool in the machine learning of interatomic potentials, broader data-driven atomistic modeling, and the visualization and analysis of material datasets. The standard mechanism used to incorporate chemical element information is to create separate densities for each element and form tensor products between them. This leads to a steep scaling in the size of the representation as the number of elements increases. Graph neural networks, which do not explicitly use density representations, escape this scaling by mapping the chemical element information into a fixed dimensional space in a learnable way. By exploiting symmetry, we recast this approach as tensor factorization of the standard neighbour-density-based descriptors and, using a new notation, identify connections to existing compression algorithms. In doing so, we form compact tensor-reduced representation of the local atomic environment whose size does not depend on the number of chemical elements, is systematically convergable, and therefore remains applicable to a wide range of data analysis and regression tasks.
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Affiliation(s)
- James P Darby
- Warwick Centre for Predictive Modelling, School of Engineering, University of Warwick, Coventry, CV4 7AL, United Kingdom
- Engineering Laboratory, University of Cambridge, Cambridge, CB2 1PZ, United Kingdom
| | - Dávid P Kovács
- Engineering Laboratory, University of Cambridge, Cambridge, CB2 1PZ, United Kingdom
| | - Ilyes Batatia
- Engineering Laboratory, University of Cambridge, Cambridge, CB2 1PZ, United Kingdom
- ENS Paris-Saclay, Université Paris-Saclay, 91190 Gif-sur-Yvette, France
| | - Miguel A Caro
- Department of Electrical Engineering and Automation, Aalto University, FIN-02150 Espoo, Finland
| | - Gus L W Hart
- Department of Physics and Astronomy, Brigham Young University, Provo, Utah, 84602, USA
| | - Christoph Ortner
- Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, British Columbia, Canada V6T 1Z2
| | - Gábor Csányi
- Engineering Laboratory, University of Cambridge, Cambridge, CB2 1PZ, United Kingdom
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Jones RM, Rossi K, Zeni C, Vanzan M, Vasiljevic I, Santana-Bonilla A, Baletto F. Structural characterisation of nanoalloys for (photo)catalytic applications with the Sapphire library. Faraday Discuss 2023; 242:326-352. [PMID: 36278255 DOI: 10.1039/d2fd00097k] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
A non-trivial interplay rules the relationship between the structure and the chemophysical properties of a nanoparticle. In this context, characterization experiments, molecular dynamics simulations and electronic structure calculations may allow the variables that determine a given property to be pinpointed. Conversely, a rigorous computational characterization of the geometry and chemical ordering of metallic nanoparticles and nanoalloys enables discrimination of which descriptors could be linked with their stability and performance. To this end, we introduce a modular and open-source library, Sapphire, which may classify the structural characteristics of a given nanoparticle through several structural analysis techniques and order parameters. A special focus is geared towards using geometrical descriptors to make predictions on a given nanoparticle's catalytic activity.
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Affiliation(s)
- Robert M Jones
- Physics Department, King's College London, Strand WC2R 2LS, UK.
| | - Kevin Rossi
- Ecole Polytechnique Federale de Lausanne, Laboratory of Nanochemistry for Energy, 1950, Sion, Switzerland.
| | - Claudio Zeni
- International School for Advanced Studies, Via Bonomea, 265, 34136 Trieste, TS, Italy.
| | - Mirko Vanzan
- Department of Chemical Sciences, University of Padovua, Via Marzolo1, 2, 35131,22, Padova, Italy
| | - Igor Vasiljevic
- Physics Department, Universitá di Milano "La Statale", Via Celoria 16, I-20133, Italy.
| | | | - Francesca Baletto
- Physics Department, King's College London, Strand WC2R 2LS, UK. .,Physics Department, Universitá di Milano "La Statale", Via Celoria 16, I-20133, Italy.
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Andritsos EI, Rossi K. Accelerating the theoretical study of Li-polysulfide adsorption on single-atom catalysts via machine learning approaches. INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY 2022; 122:e26956. [PMID: 36245939 PMCID: PMC9541244 DOI: 10.1002/qua.26956] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/24/2022] [Revised: 04/26/2022] [Accepted: 05/10/2022] [Indexed: 06/16/2023]
Abstract
Li-S batteries are a promising alternative to Li-ion batteries, offering large energy storage capacity and wide operating temperature range. However, their performance is heavily affected by the Li-polysulfide (LiPS) shuttling. Computational screening of LiPS adsorption on single-atom catalyst (SAC) substrates is of great aid to the design of Li-S batteries which are robust against the LiPS shuttling from the cathode to the anode and the electrolyte. To facilitate this process, we develop a machine learning (ML) protocol to accelerate the systematic mapping of dominant local energy minima found with calculations based on the density functional theory (DFT), and, in turn, fast screening of LiPS adsorption properties on SACs. We first validate the approach by probing the potential energy surface for LiPS adsorbed on graphene decorated with a Fe-N4-C SAC. We identify minima whose binding energies are better or on par with the one previously reported in the literature. We then move to analyze the adsorption trends on Zn-N4-C SAC and observe similar adsorption strength and behavior with the Fe-N4-C SAC, highlighting the good predictive power of our protocol. Our approach offers a comprehensive and computationally efficient alternative to conventional approaches studying LiPS adsorption.
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Affiliation(s)
| | - Kevin Rossi
- Laboratory of Nanochemistry for Energy, Institute of ChemistryEcole Polytechnique Fédérale de LausanneSionSwitzerland
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Zeni C, Rossi K, Pavloudis T, Kioseoglou J, de Gironcoli S, Palmer RE, Baletto F. Data-driven simulation and characterisation of gold nanoparticle melting. Nat Commun 2021; 12:6056. [PMID: 34663814 PMCID: PMC8523526 DOI: 10.1038/s41467-021-26199-7] [Citation(s) in RCA: 11] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/01/2021] [Accepted: 09/07/2021] [Indexed: 11/09/2022] Open
Abstract
The simulation and analysis of the thermal stability of nanoparticles, a stepping stone towards their application in technological devices, require fast and accurate force fields, in conjunction with effective characterisation methods. In this work, we develop efficient, transferable, and interpretable machine learning force fields for gold nanoparticles based on data gathered from Density Functional Theory calculations. We use them to investigate the thermodynamic stability of gold nanoparticles of different sizes (1 to 6 nm), containing up to 6266 atoms, concerning a solid-liquid phase change through molecular dynamics simulations. We predict nanoparticle melting temperatures in good agreement with available experimental data. Furthermore, we characterize the solid-liquid phase change mechanism employing an unsupervised learning scheme to categorize local atomic environments. We thus provide a data-driven definition of liquid atomic arrangements in the inner and surface regions of a nanoparticle and employ it to show that melting initiates at the outer layers.
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Affiliation(s)
- Claudio Zeni
- Department of Physics, King's College London, London, WC2R 2LS, UK.
- International School for Advanced Studies, Via Bonomea, 265, 34136, Trieste, Italy.
| | - Kevin Rossi
- Department of Physics, King's College London, London, WC2R 2LS, UK
- Laboratory of Nanochemistry, Institute of Chemistry and Chemical Engineering, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
| | - Theodore Pavloudis
- College of Engineering, Swansea University, Bay Campus, Fabian Way, Swansea, SA1 8EB, UK
- Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, GR-54124, Greece
| | - Joseph Kioseoglou
- Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, GR-54124, Greece
| | - Stefano de Gironcoli
- International School for Advanced Studies, Via Bonomea, 265, 34136, Trieste, Italy
| | - Richard E Palmer
- College of Engineering, Swansea University, Bay Campus, Fabian Way, Swansea, SA1 8EB, UK
| | - Francesca Baletto
- Department of Physics, King's College London, London, WC2R 2LS, UK
- DIPC, Paseo Manuel de Lardizabal, 20018, San Sebastian, Spain
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The Interplay between Diradical Character and Stability in Organic Molecules. Symmetry (Basel) 2021. [DOI: 10.3390/sym13081448] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
Abstract
The number of scientific papers on the unique properties and the potential for various applications of compounds with a diradical character is growing constantly. The diradical character enhances and even engenders certain desired optical properties and its modulation is a modern molecular design strategy. Nowadays, molecules with a non-zero diradical character are regarded as promising materials for new-generation and highly efficient solar cells and photonics devices. What is the price, however, of the unique properties of open-shell compounds? Alongside all the benefits, the diradical character is usually associated with low stability and high reactivity—unwanted molecular qualities for practical purposes. Thus, from a fundamental and applied point of view, it is important to investigate the correlation between the diradical character and laboratory stability, which is the goal of the present paper. Here, we report a combined quantum–chemical study (conceptual DFT and spin-projected HF theory) and multivariate analysis of the diradical character of a series of o- and p-quinomethides, for the stability of which experimental data are available. Our results reveal that a compromise between the diradical character and laboratory stability of a molecule is feasible and that the relationship between these two quantities can be understood in the framework of Clar’s sextet theory.
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