Electric Field Effects on Magnetic and Polarizability Properties of Clusters with Two-Electron Transfer

Cluster energy prediction based on multiple strategy fusion whale optimization algorithm and light gradient boosting machine

BACKGROUND

Clusters, a novel hierarchical material structure that emerges from atoms or molecules, possess unique reactivity and catalytic properties, crucial in catalysis, biomedicine, and optoelectronics. Predicting cluster energy provides insights into electronic structure, magnetism, and stability. However, the structure of clusters and their potential energy surface is exceptionally intricate. Searching for the global optimal structure (the lowest energy) among these isomers poses a significant challenge. Currently, modelling cluster energy predictions with traditional machine learning methods has several issues, including reliance on manual expertise, slow computation, heavy computational resource demands, and less efficient parameter tuning.

RESULTS

This paper introduces a predictive model for the energy of a gold cluster comprising twenty atoms (referred to as Au20 cluster). The model integrates the Multiple Strategy Fusion Whale Optimization Algorithm (MSFWOA) with the Light Gradient Boosting Machine (LightGBM), resulting in the MSFWOA-LightGBM model. This model employs the Coulomb matrix representation and eigenvalue solution methods for feature extraction. Additionally, it incorporates the Tent chaotic mapping, cosine convergence factor, and inertia weight updating strategy to optimize the Whale Optimization Algorithm (WOA), leading to the development of MSFWOA. Subsequently, MSFWOA is employed to optimize the parameters of LightGBM for supporting the energy prediction of Au20 cluster.

CONCLUSIONS

The experimental results show that the most stable Au20 cluster structure is a regular tetrahedron with the lowest energy, displaying tight and uniform atom distribution, high geometric symmetry. Compared to other models, the MSFWOA-LightGBM model excels in accuracy and correlation, with MSE, RMSE, and R2 values of 0.897, 0.947, and 0.879, respectively. Additionally, the MSFWOA-LightGBM model possesses outstanding scalability, offering valuable insights for material design, energy storage, sensing technology, and biomedical imaging, with the potential to drive research and development in these areas.

Valence tautomeric transformation in the [CrCo] compound: exploration of cooperative interactions

A crystal containing the heterometallic Cr-ligand-Co cluster with an unpaired electron on the ligand as a structural unit is examined. The developed model which describes the magnetic and polarizability characteristics of this crystal takes into account that the electron residing on the ligand can be transferred to the Co-ion, thus converting the diamagnetic ls-Co^III ion into the paramagnetic hs-Co^II one. Since this transformation is accompanied by electron density redistribution and elongation of the Co-N bond lengths, the vibronic interaction of the Co-ion with totally symmetric displacements of the nearest surroundings and cooperative dipole-dipole and electron-deformational interactions are accounted for as well. The exchange interactions between the Cr^III ion and the electron localized on the ligand as well as in the Cr^III-hs-Co^II pair are also included in consideration; the parameters of these interactions are estimated within the framework of the DFT method. Bistability in the magnetic and polarization characteristics is predicted for certain strengths of intra- and intercluster interactions in the crystal under study. Within the framework of the developed approach an explanation of the observed magnetic properties of the [Cr(SS-cth)(Co(RR-cth)(μ-dhbq))](PF₆)₂Cl crystal is given.

Modeling of Electron Transfer in a Linear Trinuclear Fe-Co-Fe Complex: Magnetic and Polarizability Properties

A microscopic approach to the problem of charge transfer-induced spin transitions in a system of interacting trinuclear Fe-Co-Fe clusters, which takes into account the switching of polarization during the transformation Fe_ls^II-Co_ls^III-Fe_ls^III→ Fe_ls^III-Co_hs^II-Fe_ls^III (ls-low spin, hs-high spin), has been developed. The cooperative electron-deformational and dipole-dipole interactions and the intracluster electron transfer have been proved to govern the observed significant changes in the magnetic and polarization characteristics of the examined system. The role of intra- and intercluster interactions in the spin transformation has been elucidated. On the basis of the developed approach, an explanation of the temperature dependence of the magnetic susceptibility and of the polar-nonpolar transformation in the {[FeTp(CN)₃]₂Co(Meim)₄}·6H₂O compound in response to thermal stimuli has been given.