The Leibfried-Schlömann (LS) equation, a commonly assumed model for the pressure dependence of thermal conductivity $\Lambda$, is tested by measurements on compressed ${\mathrm{H}}_2$O using a combination of the time-domain thermoreflectance method with the diamond anvil cell technique. The thermal conductivity of ice VII increases by an order of magnitude between 2 and 22 GPa, reaching $\Lambda \approx 25$ W m${}^{-1}$ K${}^{-1}$. Over a large compression range of $\approx$4%–33%, the LS equation describes the pressure dependence of $\Lambda$ of ice VII to better than 20%.

• Received 8 February 2011

DOI:https://doi.org/10.1103/PhysRevB.83.132301