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Maximizing machine learning interatomic potential transferability for the discovery of the novel stellated octadecagon Bi18-Pt24 cage structure

Achieving true transferability remains the central challenge for Machine Learning Interatomic Potentials (ML-IAPs) in modeling complex bimetallic nanoclusters across their vast potential energy surfaces. We systematically investigate data selection strategies to optimize the Chebyshev Interaction Model for Efficient Simulation (ChIMES) potential for the Bi-Pt nanoclusters by comparing three innovative sampling methods: Principal Component Analysis (PCA)/k-means (structural diversity), t-distributedStochasticNeighborEmbedding (t-SNE)/k-means (force-space diversity), and hierarchical clustering. Quantitatively, the PCA/k-means strategy proved most effective for global accuracy, yielding the lowest force errors and achieving energy root mean square errors (RMSE) values competitive with Density Functional Theory (DFT), demonstrating excellent accuracy (19.16meV/atom). Structural validation on 34 unique DFT-optimized isomers further confirmed the potential’s high fidelity, with the best model PCA/k-means reproducing structures with an average root mean square deviation (RMSD) of 0.10 Å. However, the t-SNE methods, by maximizing diversity in the force space, demonstrated superior extrapolative power, leading to the more precise prediction of a novel stellated octadecagon Bi18⁢Pt24 cage structure, demonstrating the potential for exploring previously unseen morphologies. Our results establish a clear methodology for strategic data sampling that successfully maximizes ML-IAP transferability, providing an accurate and computationally efficient tool that accelerates the theoretical discovery of complex bimetallic architectures.

Vangheluwe, Raphaël [Université Paris-Saclay, CNRS↗

Materials Data on Bi2Pt by Materials Project

Bi2Pt is Pyrite structured and crystallizes in the cubic Pa-3 space group. The structure is three-dimensional. Pt2- is bonded to six equivalent Bi1+ atoms to form corner-sharing PtBi6 octahedra. The corner-sharing octahedral tilt angles are 62°. All Pt–Bi bond lengths are 2.82 Å. Bi1+ is bonded in a trigonal planar geometry to three equivalent Pt2- atoms.

36 MATERIALS SCIENCE↗

Materials Data on BiPt by Materials Project

PtBi is Molybdenum Carbide MAX Phase-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Pt2- is bonded to six equivalent Bi2+ atoms to form a mixture of distorted edge and corner-sharing PtBi6 pentagonal pyramids. All Pt–Bi bond lengths are 2.90 Å. Bi2+ is bonded to six equivalent Pt2- atoms to form a mixture of edge, face, and corner-sharing BiPt6 octahedra. The corner-sharing octahedral tilt angles are 45°.

36 MATERIALS SCIENCE↗

Materials Data on Bi2Pt by Materials Project

Bi2Pt is Hydrophilite-like structured and crystallizes in the orthorhombic Pbca space group. The structure is three-dimensional. Pt2- is bonded to six Bi1+ atoms to form a mixture of edge and corner-sharing PtBi6 octahedra. The corner-sharing octahedra tilt angles range from 52–64°. There are a spread of Pt–Bi bond distances ranging from 2.79–2.83 Å. There are two inequivalent Bi1+ sites. In the first Bi1+ site, Bi1+ is bonded in a trigonal planar geometry to three equivalent Pt2- atoms. In the second Bi1+ site, Bi1+ is bonded in a trigonal planar geometry to three equivalent Pt2- atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi2Pt by Materials Project

Bi2Pt is Calaverite structured and crystallizes in the trigonal P-3 space group. The structure is two-dimensional and consists of one Bi2Pt sheet oriented in the (0, 0, 1) direction. there are two inequivalent Pt2- sites. In the first Pt2- site, Pt2- is bonded to six equivalent Bi1+ atoms to form edge-sharing PtBi6 octahedra. There are three shorter (2.79 Å) and three longer (2.80 Å) Pt–Bi bond lengths. In the second Pt2- site, Pt2- is bonded to six equivalent Bi1+ atoms to form edge-sharing PtBi6 octahedra. All Pt–Bi bond lengths are 2.79 Å. Bi1+ is bonded in a distorted T-shaped geometry to three Pt2- atoms.

36 MATERIALS SCIENCE↗

Materials Data on BiPt by Materials Project

PtBi crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Pt2- is bonded in a distorted body-centered cubic geometry to two equivalent Pt2- and six equivalent Bi2+ atoms. Both Pt–Pt bond lengths are 2.80 Å. All Pt–Bi bond lengths are 2.91 Å. Bi2+ is bonded in a 6-coordinate geometry to six equivalent Pt2- atoms.

36 MATERIALS SCIENCE↗