Epitaxial Ru(0001) layers are sputter deposited onto Al2O3(0001) substrates and their resistivity ρ measured both in situ and ex situ as a function of thickness d = 5-80 nm in order to quantify the resistivity scaling associated with electron-surface scattering. All layers have smooth surfaces with a root-mean-square roughness < 0.4 nm and exhibit an epitaxial relationship with the substrate: Ru[0001]║Al2O3[0001] and Ru[ 0 1 10 ]║Al2O3[ 0 2 11 ], suggesting negligible resistivity contributions from geometric surface roughness and grain boundary scattering. The room temperature ρ vs d data is well described by the semiclassical Fuchs and Sondheimer (FS) model, indicating a bulk electron mean free path λ = 6.7 ± 0.3 nm. Electron scattering at the Ru(0001) surface is distinctly different from the known Cu(001) surface: Its scattering specularity is unaffected by oxygen exposure but dependent on temperature and/or the environment, as indicated by a 43% decrease in the measured ρo×λ product with decreasing temperature from 295 to 77 K. Transport simulations employing the ruthenium electronic structure determined from firstprinciples and a constant relaxation time approximation indicate that the resistivity is strongly (by a factor of two) affected by both the transport direction and the terminating surfaces. This is quantified with a room temperature effective mean free path λ * which is relatively small for transport along the hexagonal axis independent of layer orientation (λ * = 4.3 nm) and for (0001) terminating surfaces independent of transport direction (λ * = 4.5 nm), but increases, for example, to λ * = 8.8 nm for (1120) surfaces and transport along [1100]. Direct experiment-simulation comparisons show a 12% and 49% higher λ from experiment at 77 and 295 K, respectively, indicating limitations of the semi-classical transport simulations despite the correct accounting of Fermi surface and Fermi velocity anisotropies. The overall results demonstrate a low resistivity scaling for Ru, suggesting that 10 nm half-pitch Ru interconnect lines are approximately 2 times more conductive than comparable Cu lines.