Physics Maths Engineering
Jacques Curely
Jacques Curely
Institution: Laboratoire Ondes et Matière d’Aquitaine, UMR 5798, University of Bordeaux,
Email: Jacques.curely@u-bordeaux.fr
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Doi: https://doi.org/10.3390/magnetochemistry8010006
2022-03-26:In earlier work, we previously established a formalism that allows to express the exchange energy J vs. fundamental molecular integrals without crystal field, for a fragment A–X–B, where A and B are 3d 1 ions and X is a closed-shell diamagnetic ligand. In this article, we recall this formalism and give a physical interpretation: we may rigorously predict the ferromagnetic (J < 0) or antiferromagnetic (J > 0) character of the isotropic (Heisenberg) spin-spin exchange coupling. We generalize our results to ndm ions (3 ≤ n ≤ 5, 1 ≤ m ≤ 10). By introducing a crystal field we show that, starting from an isotropic (Heisenberg) exchange coupling when there is no crystal field, the appearance of a crystal field induces an anisotropy of exchange coupling, thus leading to a z-z (Ising-like) coupling or a x-y one. Finally, we discuss the effects of a weak crystal field magnitude (3d ions) compared to a stronger (4d ions) and even stronger one (5d ions). In the last step, we are then able to write the corresponding Hamiltonian exchange as a spin-spin one.
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Total | 1299 | 1299 |
Show by month | Manuscript | Video Summary |
---|---|---|
2024 September | 2 | 2 |
2024 August | 110 | 110 |
2024 July | 130 | 130 |
2024 June | 26 | 26 |
2024 May | 33 | 33 |
2024 April | 37 | 37 |
2024 March | 54 | 54 |
2024 February | 33 | 33 |
2024 January | 39 | 39 |
2023 December | 39 | 39 |
2023 November | 59 | 59 |
2023 October | 40 | 40 |
2023 September | 22 | 22 |
2023 August | 22 | 22 |
2023 July | 31 | 31 |
2023 June | 25 | 25 |
2023 May | 36 | 36 |
2023 April | 33 | 33 |
2023 March | 48 | 48 |
2023 February | 2 | 2 |
2023 January | 2 | 2 |
2022 December | 44 | 44 |
2022 November | 101 | 101 |
2022 October | 39 | 39 |
2022 September | 37 | 37 |
2022 August | 43 | 43 |
2022 July | 48 | 48 |
2022 June | 93 | 93 |
2022 May | 42 | 42 |
2022 April | 23 | 23 |
2022 March | 6 | 6 |
Total | 1299 | 1299 |