LXXXIII.The theory of the paramagnetic rotation and susceptibility in manganous and ferric salts

H−T phase diagram of rare-earth–transition-metal alloys in the vicinity of the compensation point

“…where λ SO is the spin-orbit coupling constant, index i spans f electrons of the Gd 3+ ion, B q k are the crystal field parameters, andĈ k q (l i ) are the irreducible tensor operators. In perturbation theory of the third order and by taking into account states from both ground 8 S and excited 6 P terms, one obtains the spin Hamiltonian with a contribution of the form D[S 2 z − 1 3 S(S + 1)] [37][38][39]. The existing estimations of D from both theory and experiment [40] are of the order of 10 −2 -10 −1 cm −1 per ion.…”

Zur paramagnetischen Elektronenresonanz metallorganischer Sandwich-Verbindungen, Teil I / The magnetic resonance properties of some sandwich compounds, part i

“…Die Spinentartung des Grundzustandes G Aig kann weder durch Spin-BahnKopplung noch durch das Ligandenfeld allein aufgehoben werden. Erst das Zusammenwirken beider Störungen führt in höherer Ordnung einer Störungs-rechnung zu einer Nullfeldaufspaltung 49 . Die SpinSpin-Kopplung liefert nur einen geringen Beitrag zur Nullfeldaufspaltung.…”

Zero field splitting of the chalcogen diatomics using relativistic correlated wave-function methods

“…The spin-spin coupling is a first-order term due to the direct dipolar interaction between the spin momenta of two electrons. This contribution was analyzed in the early days of quantum mechanics 2,3 and has a long history of calculation [4][5][6][7][8] as well. It is nowadays routinely evaluated from first principles, either using multiconfigurational wave function theory (WFT) (Refs.…”

“…14 The a) Electronic mail: bolvin@irsamc.ups-tlse.fr. SOC contribution has been analyzed very early by secondorder perturbation theory using crystal-field theory 3,4,15 and later using ligand-field theory. 16 The semi-empirical angular orbital model of Bencini is still widely used for transition metal complexes.…”