“…To verify the stability of these structures, we show the simulated phonon dispersion curves in Figure . In Figure a, it can be clearly seen that there are no imaginary frequencies along the high-symmetry directions of the Brillouin zone containing Z, Γ, Y, A, B, D, E, and C in pure Y 2 SiO 5 , which is the same as the result reported by Askari and Vali Figure b,c shows the phonon dispersion curves of Y 2 SiO 5 :Pr (I) and Y 2 SiO 5 :Pr (II), and there are also no imaginary frequencies found with the direction of Γ, F, Q, and Z throughout the Brillouin zone.…”