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Comparative Crystal‐Field Analyses of 4f N Energy Levels in LiYF 4 :Ln 3+ Systems
Author(s) -
Jayasankar C. K.,
Reid M. F.,
Richardson F. S.
Publication year - 1989
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.2221550226
Subject(s) - multiplet , hamiltonian (control theory) , crystal (programming language) , atomic physics , crystallography , physics , chemistry , spectral line , quantum mechanics , mathematical optimization , mathematics , computer science , programming language
Comparative analyses of the 4f N (Ln 3+ ) energy level structures in a series of LiYF 4 :Ln 3+ systems are reported. These analyses focus on empirical energy level data currently available in the literature for the Pr 3+ , Nd 3+ , Eu 3+ , Dy 3+ , Ho 3+ , Er 3+ , and Tm 3+ systems, and they are based on the use of a phenomenological Hamiltonian that permits trans‐series comparisons of 4f‐electron/crystal‐field interactions. Spin‐correlated crystal‐field (SCCF) interactions are considered in the phenomenological energy level analyses of the Pr 3+ , Nd 3+ , Er 3+ , and Tm 3+ systems. Differences between analyses carried out with and without inclusion of SCCF effects are most apparent for the Er 3+ and Tm 3+ systems. For these systems, inclusion of SCCF effects leads to significant improvement in agreement between calculated and observed crystal‐field splittings within certain multiplet manifolds. The calculated crystal‐field energy level structures within the 1 G 4 and 1 D 2 multiplets of Tm 3+ and the lowest‐energy 2 H 11/2 multiplet of Er 3+ exhibit particular sensitivity to the SCCF components of the model Hamiltonian. Comparisons between the present work and previously reported analyses of LiYF 4 :Ln 3+ systems are presented.