Abstract
The shift of the EPR lines from sites of cubic symmetry of Tm2+ in CaF2 and SrF2 and Yb3+ in CaF2 has been measured for uniaxial stress applied both in the (100) and (111) directions. From these shifts parameters of the spin-lattice hamiltonian have been deduced, and spin-lattice relaxation rates have been calculated which are in excellent agreement with previous results. The results show dramatic changes in the parameters between Tm2+ and Yb3+ in CaF2, and between different alkaline earth fluorides for Tm2+. Electrostatic models of the orbit-lattice interaction are shown to be inadequate. A satisfactory model which includes overlap and covalency has been constructed, in which it was found necessary to include those distortions of the three atom basis of the FCC structure of the fluorite lattice which are allowed by the symmetry.

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