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Computationally efficient modeling of the thermal conductivity of materialsis crucial to thorough experimental planning and theoretical understanding ofthermal properties. We present a modeling approach in this work that utilizesfrequency-dependent effective medium to calculate lattice thermal conductivityof nanostructured solids. The method accurately predicts a significantreduction in the thermal conductivity of nanostructured Si80Ge20 systems, alongwith previous reported thermal conductivities in nanowires andnanoparticles-in-matrix materials. We use our model to gain insight into therole of long wavelength phonons on the thermal conductivity of nanograinedsilicon-germanium alloys. Through thermal conductivity accumulationcalculations with our modified effective medium model, we show that phononswith wavelengths much greater than the average grain size will not be impactedby grain boundary scattering, counter to the traditionally assumed notion thatgrain boundaries in solids will act as diffusive interfaces that will limitlong wavelength phonon transport. This is further supported through amodulation frequency dependent thermal conductivity as measured withtime-domain thermoreflectance.

Ballistic transport of long wavelength phonons and thermal conductivity accumulation in nanograined silicon-germanium alloys