After performing first-principles calculations of structural and vibrational properties of the semiconducting clathrates Rb
24Ga
24Sn
112 along with binary Cs
xSn
136 (0 ≤
x ≤ 24), we obtained equilibrium geometries and harmonic phonon modes. For the filled clathrate
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After performing first-principles calculations of structural and vibrational properties of the semiconducting clathrates Rb
24Ga
24Sn
112 along with binary Cs
xSn
136 (0 ≤
x ≤ 24), we obtained equilibrium geometries and harmonic phonon modes. For the filled clathrate Rb
24Ga
24Sn
112, the phonon dispersion relation predicts an upshift of the low-lying rattling modes (~25 cm
−1) for the Rb (“rattler”) compared to Cs vibration in Cs
xSn
136. It is also found that the large isotropic atomic displacement parameter (
Uiso) exists when Rb occupies the “over-sized” cage (28 atom cage) rather than the 20 atom counterpart. These guest modes are expected to contribute significantly to minimizing the lattice’s thermal conductivity (
κL). Our calculation of the vibrational contribution to the specific heat and our evaluation on
κL are quantitatively presented and discussed. Specifically, the heat capacity diagram regarding
CV/
T3 vs.
T exhibits the Einstein-peak-like hump that is mainly attributable to the guest oscillator in a 28 atom cage, with a characteristic temperature 36.82 K for Rb
24Ga
24Sn
112. Our calculated rattling modes are around 25 cm
−1 for the Rb trapped in a 28 atom cage, and 65.4 cm
−1 for the Rb encapsulated in a 20 atom cage. These results are utilized to predict the lattice’s thermal conductivity (approximately 0.62 W/m/K) in Rb
24Ga
24Sn
112 within the kinetic theory approximation.
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