“…To reveal the reason behind the significant reduction in the κ latt , the Debye–Callaway model was adopted to fit the κ latt vs. T data and the various scattering contributions were examined using the relationship: 80–85
where θ D , ν , τ T , and z are the Debye temperature, the mean sound speed, the total phonon relaxation time, and the reduced phonon frequency, respectively. From the Matthiessen rule, one can express the τ as, 83,86 τ −1 = τ PD −1 + τ U −1 + τ N −1 + τ B −1 + τ D −1 where τ PD −1 , τ U −1 , τ N −1 , τ B −1 and τ D −1 are scattering relaxation times of point defects, Umklapp-process, nano-inclusions, boundary, and dislocations respectively.…”