Point-charge and induced-dipole model analysis of spin-Hamiltonian parameters forGd3+doping single crystals of rare-earth-metal trichloride hexahydrates

Spin-Hamiltonian parameters are calculated for ${\mathrm{Gd}}^{3+}$ doping single crystals of rare-earth-metal trichloride hexahydrates $R$ ${\mathrm{Cl}}_3$·6${\mathrm{H}}_2$O (RTH): $R$ = Nd, Sm, Eu, Tb, Dy, Ho, Er, and Tm, with the use of the point-charge plus induced-dipole model, with variable anisotropic tensor polarizabilities. It is found that the parameters can all be computed to be within experimental error by suitable choices of polarizability tensors. Conclusions about the polarizability values of the various ions in the RTH crystals are drawn.