Exchange interactions between orbitally degenerate ions in Ti2 X 9 3- (X=Cl, Br)
- 1 January 1984
- journal article
- research article
- Published by Taylor & Francis Ltd in Molecular Physics
- Vol. 51 (1), 1-20
- https://doi.org/10.1080/00268978400100011
Abstract
An effective hamiltonian ℋeff is developed for the treatment of exchange interactions in a pair of transition metal ions with orbitally degenerate ground states. In contrast to a Heisenberg-Dirac-van Vleck (HDvV) hamiltonian ℋeff retains a partial degeneracy of singlet and triplet pair states. The hamiltonian is applied to Ti2 X 9 3- (X=Cl, Br) dimers. The gross experimental features of Cs3Ti2Cl9 and Rb3Ti2Br9 are well reproduced by the theoretical model. The coupling is strongly antiferromagnetic and the exchange parameters can be rationalized by an approximate MO calculation.Keywords
This publication has 23 references indexed in Scilit:
- Binuclear unit: A new development for the exchange between orbitally unquenched ionsPhysical Review B, 1982
- New approach for the exchange Hamiltonian of an orbitally degenerate ground-state system (or)Physical Review B, 1981
- Two‐Centre Exchange Interactions between Orbitally Degenerate Ions. I. One Ion in Orbitally Degenerate StatePhysica Status Solidi (b), 1978
- Exchange interactions in magnetic insulatorsPhysics Reports, 1976
- On superexchange interaction between orbitally degenerate ionsCzechoslovak Journal of Physics, 1975
- Exchange interactions in (Cr2Cl9)3-systemsJournal of Physics C: Solid State Physics, 1973
- Interactions de superéchange en présence de dégénérescence orbitale et de couplage spin-orbiteJournal de Physique, 1968
- X-Ray diffraction study of rubidium and cesium bromotitanatesJournal of Structural Chemistry, 1965
- Rare-Earth-Iron Exchange Interaction in the Garnets. I. Hamiltonian for Anisotropic Exchange InteractionPhysical Review B, 1964
- The crystal structure of Cs3Cr2Cl9Acta Crystallographica, 1957