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Quadratic Crystal‐Field Effects on the J = 15/2 Manifold in Cubic Symmetry
Author(s) -
Kornienko A. A.,
Kaminskii A. A.,
Dunina E. B.
Publication year - 1993
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.2221780215
Subject(s) - hamiltonian (control theory) , quadratic equation , crystal (programming language) , manifold (fluid mechanics) , physics , ion , electron , mathematical physics , quantum mechanics , mathematics , geometry , mechanical engineering , mathematical optimization , computer science , engineering , programming language
The effects of electron correlation resulting from one‐particle operators in third order are investigated. These effects are presented by an effective Hamiltonian having the form of a “quadratic crystal‐field”. The fitting to the Stark structure of the J = 15/2 manifold by the “quadratic crystal‐field” Hamiltonian gives good agreement with experimental data. The “quadratic crystal‐field” Hamiltonian may be useful for the analysis of the energy‐level scheme of Pr 3+ ions in LiYF 4 crystal, where there are problems in describing the higher manifolds by an effective one‐electron Hamiltonian.