Group theory analysis of the rhombohedral magnetic structures in rare earth iron garnets revisited

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Lahoubi, M.^1

Department of Physics, Faculty of Sciences, Badji-Mokhtar Annaba University, PO Box-12, Annaba

23000, Algeria^1

关键词: Basis vector;    Group theory analysis;    Irreducible representations;    Neutron powders;    Noncollinear magnetic structures;    Rare-earth iron garnet;    Terbium iron garnet;    Wyckoff positions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012099/pdf
DOI  :  10.1088/1742-6596/574/1/012099

来源: IOP

【 摘 要 】

The representation analysis of Bertaut is used to enumerate all possible magnetic structures in rare earth iron garnets (RE3Fe5O12) for the RE and Fe ions on the 6e, 6e' and 12f, 2b, 6d Wyckoff positions respectively in the highest rhombohedral subgroup Rc of the cubic space group Iad. The basis vectors of the one-dimensional irreducible representation A2g lead to noncollinear magnetic structures of the RE moments which produce a better description than those based on the models of Wolf et al. Some results of the "double umbrella" structure found in our recent neutron powder diffraction studies of terbium iron garnet are reported.