Abstract

The lattice thermal conductivities of Mg2Si and Mg2Sn have been analyzed in the entire temperature range 2–1000 K in the frame of the expression for the three-phonon scattering relaxation rate recently proposed by Dubey and Misho, and a very good agreement is found between the calculated and the experimental values of the lattice thermal conductivity in the entire temperature range of the study. The separate contributions due to transverse and longitudinal phonons towards the total lattice thermal conductivity have also been studied by calculating their percentage contributions. The percentage contributions of the three-phonon normal and umklapp process scattering relaxation rates towards the three-phonon scattering relaxation rate have been studied for both Mg2Si and Mg2Sn. The percentage contribution of the three-phonon scattering relaxation rate towards the combined scattering relaxation rate has also been studied for transverse as well as for longitudinal phonons, for four different values of the phonon frequencies. The role of the four-phonon processes is. also included in the present analysis.

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