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EN
A group theoretical parametrization scheme of the bilinear orbit-lattice interaction is presented. Using this scheme a general analytical form of this interaction in the point-charge electrostatic model has been obtained. Based on this general analytical form the second-order parameters of the bilinear orbit-lattice interaction have been calculated for a tetrahedral complex. For cubic complexes a microscopic interpretation of the G-tensor components in the long-wavelength approximation of acoustic waves is given for the first time. The presented scheme of parametrization as well as the method of calculations of the interaction parameters may be extended to other models of the crystal field.
EN
The results implying from two microscopic models for spin-phonon interactions are analyzed for the case of PbF_{2}:Gd^{3+} It is shown that the two-phonon first-order mechanism predicts significant contributions to the values of the spin-phonon second-order coupling constants and the one-phonon second-order mechanism is less effective.
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