Anomalously Strong Size Effect on Thermal Conductivity of Diamond Microparticles

Abstract

Diamond has the known highest thermal conductivity of around \SI{2000}{\watt\per\meter\per\kelvin} and is therefore widely used for heat dissipation. In practical applications, synthetic diamond microparticles are usually assumed to have similar thermal conductivity to that of bulk diamond because the particle size is larger than theoretical phonon mean free path so that boundary scattering of heat-carrying phonons is absent. In this report, we find the thermal conductivity of diamond microparticles anomalously depends on their sizes. Thermal conductivity of diamond microparticles increases from \SI{400}{\watt\per\meter\per\kelvin} to \SI{2000}{\watt\per\meter\per\kelvin} with the size growing from \SI{20}{\micro\meter} to \SI{300}{\micro\meter}. We attribute the abnormally strong size effect to the long-range defects during the growth process based on analysis of point defects, dislocations, and thermal penetration depth dependence of thermal conductivity. Our results play a vital role in the design of diamond composites and in the improvement of thermal conductivity of synthetic diamonds.