Abstract
We calculate classical trajectories of atomic displacements in a crystal that contains an excited impurity. The decay of the localised excitation by vibrational relaxation on an adiabatic potential energy surface emerges from the study. We obtain the dephasing and anharmonic parts of the rate of escape of excitation from the impurity centre and determine shapes of phonon-pulses emanating from the centre. Hot luminescence band-shapes are derived in terms of the classical trajectory. Several types of impurity-lattice interactions are used in the computations, but the stochasticity of the relaxat dynamics is not investigated.
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