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Abstract
The lattice thermal conductivities of Mg2Ge and Mg2Si have been analysed in the entire temperature range 2–1000 K in the frame of a new expression for the phonon-phonon scattering relaxation rate proposed by Dubey as $$\tau _{3ph}^{ - 1} = (B_{N,I} + B_{U,I} e^{ - \theta /\alpha T} )g(\omega )T^{m_I (T)} + (B_{N,II} + B_{U,II} e^{ - \theta /\alpha T} )g(\omega )T^{m_{II} (T)}$$ based on the Guthrie classification of the phonon-phonon scattering events, and a very good agreement has been obtained between the calculated and experimental values of the lattice thermal conductivity for both samples in the entire temperature range of the study. The separate percentage contributions due to three-phonon normal and umklapp processes towards the three-phonon scattering relaxation rate have also been studied. The role of the four-phonon processes has been included in the present analysis.
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