Abstract

The electron-phonon hamiltonian of paramagnetic ions, derived from the assumption of a deformable potential of the surrounding ligands, is given as a function of the static crystalline field. With that it is possible to reduce the spin-lattice relaxation time to the coefficients of the expansion of the crystalline potential in terms of spherical harmonics, present in the treatment of energy splitting by the crystalline field. The anisotropy of the matrix elements of the electron-phonon hamiltonian relative to the propagation vector of lattice vibrations is discussed.

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