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Abstract
The lattice dynamics of layered Ba${}_{1\ensuremath{-}x}$Na${}_{x}$Ti${}_{2}$Sb${}_{2}$O pnictides ($0\ensuremath{\le}x\ensuremath{\le}0.3$) is studied experimentally by means of Raman scattering and theoretically within the density functional theory. Both symmetry allowed Raman-active modes are observed in the spectra and assigned to the lattice eigenmodes: $z$-axis motion of Sb ions ($A$${}_{1g}$-symmetry mode) and in-$xy$-plane displacement of Sb ($E$${}_{g}$-symmetry vibration). Calculated and experimental frequencies of these modes are found to be in good agreement. The $E$${}_{g}$ mode exhibits a nonmonotonous dependence of its frequency upon doping, which is found to correlate with the variation of Sb-Ti distances and strength of the interaction between Ti${}_{2}$Sb${}_{2}$O slabs.
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