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Three‐phonon scattering relaxation rate and phonon conductivity. Application to Mg 2 Ge
Author(s) -
Dubey K. S.,
Misho R. H.
Publication year - 1977
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220840108
Subject(s) - phonon , thermal conductivity , condensed matter physics , scattering , phonon scattering , atmospheric temperature range , relaxation (psychology) , scattering rate , conductivity , materials science , thermodynamics , physics , optics , quantum mechanics , superconductivity , psychology , social psychology
The new expression τ 3ph −1= g (ω) ( B N + B U e −θ/α T ) T m is proposed for the three‐phonon scattering relaxation rate taking into consideration normal and umklapp processes. Incorporating the above expression, the phonon conductivity of Mg 2 Ge is calculated in the entire temperature range 4 to 1000 K and good agreement is found between calculated and experimental values of phonon conductivity of the sample in the entire temperature range of investigation. Analytical expressions are reported to calculate an approximate value of lattice thermal conductivity. The role of four‐phonon processes is also included in the present study. Using the expression for τ 3ph −1proposed by Joshi and Verma and Sharma et al. the phonon conductivity of InSB and Mg 2 Ge is calculated to compare the results obtained using the proposed expression for the three‐phonon scattering relaxation rate.