Gyromagnetic factors and spin-orbit coupling in ligand field theory

It has been customary to compute the effect of spin-orbit coupling on the magnetic properties of transition metal ions in crystals with the expression taken over from atomic spectroscopy, although this expression is valid only in a spherically symmetric field. In the present work, we show how the us...

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Detalles Bibliográficos
Autores principales: Misetich, A.A., Buch, T.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00219606_v41_n8_p2524_Misetich
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Sumario:It has been customary to compute the effect of spin-orbit coupling on the magnetic properties of transition metal ions in crystals with the expression taken over from atomic spectroscopy, although this expression is valid only in a spherically symmetric field. In the present work, we show how the use of a spin-orbit interaction Hamiltonian derived from the Bethe-Salpeter approximation to the relativistic Breit equation for a partly covalent complex leads to a dependence of the gyromagnetic factor on the spin-orbit coupling parameter of the ligand atoms. We develop an expression of g for a d8-ion in a cubic field and apply it to the case of KNiF3. The calculated g values agree very well with experimental results. Other differences between our expression and those found by other authors are discussed.