Superposition-model analysis of spin-Hamiltonian parameters forGd3+in rare-earth trifluorides

Abstract
The spin-Hamiltonian parameters for Gd3+-doped single crystals of RF3 (R=La,Ce,Pr,andNd) are analyzed using the linear superposition model of Newman. It is found that the parameters can be adequately described within the framework of the superposition model for values of t2 and t4 being 9 and 14, respectively, provided that one consider small distortions (within ± 3°) of the azimuthal angles φi of eight F ions nearest to Gd3+ in the various hosts due to the presence of the Gd3+ ion. The significance of the success in the application of the superposition model to the analysis of Gd3+ spin-Hamiltonian parameters in isostructural hosts is discussed. It is found that the zero-field splitting is a linear function of the intrinsic parameter b¯2 for the Gd3+ ion doping the various hosts.

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