Abstract

The influence of lattice vibrations and charge fluctuations on the lifetime of crystal-field states is discussed in the context of experimental studies of lanthanide ions in ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{7\ensuremath{-}d}.$ Apart from S-state ions, lattice vibrations always provide a channel for relaxation and, through the agency of an intermediate-energy crystal-field state, a significant contribution to the lifetime. In consequence, it is an unsafe practice to interpret the measured lifetime of lanthanide ion crystal-field states in terms of scattering by charge carriers ignoring a lattice contribution. Certainly, it is a bad practice when the host material is a poor metal, like ${\mathrm{YBa}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{7\ensuremath{-}d},$ and the density of charge carriers is small.

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