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The lattice dynamics in an array of 56 nm diameter Bi
2
Te
3
nanowires embedded in a self-ordered amorphous alumina membrane were investigated microscopically using
125
Te nuclear inelastic scattering. The element specific density of phonon states is measured on nanowires in two perpendicular orientations and the speed of sound is extracted. Combined high energy synchrotron radiation diffraction and transmission electron microscopy was carried out on the same sample and the crystallinity was investigated. The nanowires grow almost perpendicular to the
c
-axis, partly with twinning. The average speed of sound in the 56 nm diameter Bi
2
Te
3
nanowires is ∼7% smaller with respect to bulk Bi
2
Te
3
and a decrease in the macroscopic lattice thermal conductivity by ∼13% due to nanostructuration and to the reduced speed of sound is predicted.
Diffraction images obtained on an array of Bi
2
Te
3
nanowires in two perpendicular orientations and the corresponding tellurium specific density of phonon states.