1979
DOI: 10.1063/1.438641
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Crystal-field analysis of triply ionized rare earth ions in lanthanum trifluoride

Abstract: Previously reported spectra of nine triply ionized lanthanides in LaF3 are analyzed by using a parametrized C2 crystal-field Hamiltonian. Initial crystal-field parameters Bnm in the fitting procedure were obtained from point charge lattice sums Anm using previously derived ρn, where Bnm=ρnAnm. The largest rms deviation of theory from experiment was 18.1 cm−1 (Pr3+), and the smallest was 2.1 cm−1 (Ho3+). The resulting Bnm were used to obtain a smoothed set of crystal field parameters for the entire lanthanide s… Show more

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Cited by 198 publications
(76 citation statements)
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“…These components are then corrected for shielding and scaling factors that account for the expansion of the radial part of the 4f free-ion wave function of the rare earth ion immersed in the nitride lattice. These correction terms described in the earlier work of Morrison et al 35 lead to a set of crystal-field splitting parameters, B nm , that become a starting set for modeling the crystal field splitting of the 2S+1 L J multiplet manifolds reported in Tables I and II. The B nm parameters appear in a crystal-field Hamiltonian that is expressed as…”
Section: Crystal-field Splitting Calculationsmentioning
confidence: 99%
“…These components are then corrected for shielding and scaling factors that account for the expansion of the radial part of the 4f free-ion wave function of the rare earth ion immersed in the nitride lattice. These correction terms described in the earlier work of Morrison et al 35 lead to a set of crystal-field splitting parameters, B nm , that become a starting set for modeling the crystal field splitting of the 2S+1 L J multiplet manifolds reported in Tables I and II. The B nm parameters appear in a crystal-field Hamiltonian that is expressed as…”
Section: Crystal-field Splitting Calculationsmentioning
confidence: 99%
“…If the local symmetry of an impurity center is S 4 (as it is the case of the YLF crystal), only the following crystal field parameters are not equal to zero: B 18) For the determination of the numerical values of the crystal field parameters we have used ''smoothed crystal field parameters'' approach described in. 19,20) A point charge model of the form…”
Section: Energy States Of a Free Dy 3þ Ionmentioning
confidence: 99%
“…The similar sensitivity for low-symmetry complexes in the point-charge model was mentioned in [13]. In [7] also an essential distinction was pointed out between lattice sums in the C F parameters calculated by using X-ray data on the LaF, crystal structure of different authors.…”
Section: Local Structure Of the Nd3+ Activator Centre In The Ya109 Simentioning
confidence: 92%