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Theoretical Studies of the Local Structure and EPR Parameters of Tetragonally Distorted Tetrahedral Cu2+ Sites in Phosphate Glasses

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In this work, we theoretically investigate the local structure and electronic paramagnetic resonance (EPR) parameters (g-factors gi and A-constants Ai, i = //, ⊥) of tetragonal Cu2+ centers in phosphate glasses (xCuO⋅(1 – x)[2P2O5⋅Na2O] (0.5< x < 5 mol %)) with the aid of the three-order perturbation formulae of these parameters for 3d9 ions in tetragonally distorted tetrahedra based on the cluster approach. In our calculations, both contributions to EPR parameters from the spin-orbit (SO) coupling interactions of the central Cu2+ ions and the ligand orbital and SO coupling interactions are included. The crystal-field parameters related to the splitting of d-orbitals are calculated from the superposition model and the local structures of the studied Cu2+ centers in the glasses. Based on the calculations, the local bond angle is found to be about 3.78° larger than that of the ideal tetrahedral site, resulting in a slightly compressed ligand tetrahedron. The relative contributions to the g-factors from the ligand orbital and SO coupling interactions are more important than those from the third-order perturbation terms. The theoretical results show good agreement with the experimental values. The signs and the less anisotropy (ΔA = |A//| – |A| ) of A-constants for the tetrahedral Cu2+ centers are discussed.

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Funding

This research was funded by the scientific research startup fund of Jiangsu University of Science and Technology (Grant no. 120170003) and University Natural Science Research Project of Anhui Province (Grant no. KJ2019A0049).

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Zhang, B.F., Lin, J.Z., Zhao, Y. et al. Theoretical Studies of the Local Structure and EPR Parameters of Tetragonally Distorted Tetrahedral Cu2+ Sites in Phosphate Glasses. Glass Phys Chem 48, 511–518 (2022). https://doi.org/10.1134/S1087659621100461

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