2023
DOI: 10.1016/j.rinp.2023.106487
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From phonons to the thermal properties of complex thermoelectric crystals: The case of type-I clathrates

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Cited by 5 publications
(2 citation statements)
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“…It was not possible to measure the thermal conductivity in our samples. However, it is interesting to give an estimate of its value in the context of recent fundamental advances in the understanding of the thermal conductivity of complex crystals, i.e., crystals with a complex crystallographic unit cell. , Indeed, it has recently been shown that complexity leads to a separation of the phonon spectrum into an optical continuum made up of a high density of modes associated with the complexity of the structures (the 3N degrees of freedom) which dominate the specific heat ( C v ∼ 3NR) and an acoustic part limited to just the three acoustic branches that dominate the lattice thermal conductivity. These two parts of the phonon spectrum are separated in energy at an energy threshold ℏω op corresponding to the energy of the lowest energy optical mode.…”
Section: Resultsmentioning
confidence: 99%
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“…It was not possible to measure the thermal conductivity in our samples. However, it is interesting to give an estimate of its value in the context of recent fundamental advances in the understanding of the thermal conductivity of complex crystals, i.e., crystals with a complex crystallographic unit cell. , Indeed, it has recently been shown that complexity leads to a separation of the phonon spectrum into an optical continuum made up of a high density of modes associated with the complexity of the structures (the 3N degrees of freedom) which dominate the specific heat ( C v ∼ 3NR) and an acoustic part limited to just the three acoustic branches that dominate the lattice thermal conductivity. These two parts of the phonon spectrum are separated in energy at an energy threshold ℏω op corresponding to the energy of the lowest energy optical mode.…”
Section: Resultsmentioning
confidence: 99%
“…Ikeda et al have shown phenomenologically that the lattice thermal conductivity scales with this energy ℏω op (or corresponding temperature θ op = ℏω op / k B ) . Using the approximation of the relaxation time of the transport Boltzmann equation, Pailhès et al showed that the propagated conduction associated with acoustic branches whose dispersions are limited by ω op reads as κ false( T θ op false) = k B 6 π 2 ω op 3 v s 2 l with v s being the average sound velocity and l being the average mean free path.…”
Section: Resultsmentioning
confidence: 99%