Premium
Zero‐field splitting and the d–d transitions of Mn 2+ on Ca(II) sites in Ca 5 (PO 4 ) 3 F
Author(s) -
WanLun Yu,
MinGuang Zhao
Publication year - 1987
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221400121
Subject(s) - tetragonal crystal system , zero field splitting , crystal field theory , orthorhombic crystal system , ion , crystal (programming language) , symmetry (geometry) , field (mathematics) , zero point energy , point group , physics , zero (linguistics) , energy level splitting , chemistry , condensed matter physics , crystallography , crystal structure , quantum mechanics , mathematics , geometry , pure mathematics , linguistics , philosophy , spin polarization , electron , computer science , programming language
On the basis of the crystal field theory the energy matrices of a d 5 ion in C s (or C 2 ) symmetry are derived, which are applicable to all orthorhombic and tetragonal symmetries. Using the perturbation theory the analytical expressions connecting the zero‐field splitting parameters with the crystal field parameters are obtained for a 6 S‐state ion in arbitrary symmetry. It is shown that the zero‐field splitting of Mn 2+ on Ca(II) sites in Ca 5 (PO 4 ) 3 F, possessing C s point symmetry, can be reasonably understood by the spin–orbit coupling mechanism, and that the d–d transitions can be interpreted well by the crystal field model proposed by Zhao et al.