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We present a model of the lattice dynamics of the rare earth titanatepyrochlores R2Ti2O7 (R=Tb, Dy, Ho), which are important materials in the studyof frustrated magnetism. The phonon modes are obtained by density functionalcalculations, and these predictions are verified by comparison with scatteringexperiments. Single crystal inelastic neutron scattering is used to measureacoustic phonons along high symmetry directions for R=Tb, Ho; single crystalinelastic x-ray scattering is used to measure numerous optical modes throughoutthe Brillouin zone for R=Ho; and powder inelastic neutron scattering is used toestimate the phonon density of states for R=Tb, Dy, Ho. Good agreement betweenthe calculations and all measurements is obtained, allowing confidentassignment of the energies and symmetries of the phonons in these materialsunder ambient conditions. The knowledge of the phonon spectrum is important forunderstanding spin-lattice interactions, and can be expected to be transferredreadily to other members of the series to guide the search for unconventionalmagnetic excitations.

First principles calculation and experimental investigation of lattice dynamics in the rare earth pyrochlores R2Ti2O7 (R=Tb, Dy, Ho)