Use of Pseudopotential for Crystal-Field Splitting of J Levels of TmCl3· 6H2O

Abstract
A method of calculating the crystalline Stark field splitting of J levels for Tm3+ in TmCl3· 6H2O is described which uses the idea of a higher symmetry crystal field. The higher symmetry crystal‐field Hamiltonian is selected by considering the Stark levels within a given J manifold having the same intensity as degenerate. It is found that the calculation is in a coordinate system with the higher symmetry axis perpendicular to the direction of the symmetry axis reported for this crystal. [D. N. Olsen and J. B. Gruber, J. Chem. Phys. 54, 2077 (1971)]. A rotation of the coordinate system is performed to correct for this condition. Finally, the thulium parameters obtained are compared with the parameters for HoCl3· 6H2O where polarization data were available for identifying individual Stark levels necessary in making a definitive crystal‐field splitting calculation.