Magnetic, transport, thermal, and crystallographic properties are reported for single crystals of CeRhSn crystallizing in the hexagonal ZrNiAl-type structure. We found high anisotropy in both electrical resistivity (ρₐ≈5ρc at 70 K) and magnetic susceptibility (χc≈10χₐ at 0.4 K), which is atypical for a valence-fluctuating Ce compound. At low temperatures, ρ(T) and χ(T) show power-law behaviors; ρₐ(T)∝T1.5 and ρc(T)∝T, and χₐ∝T^-0.35 and χc∝T^-1.1 down to 0.4 K. These behaviors and the rather large residual resistivity were not affected by long-term annealing. On cooling from 7 K to 0.5 K, the specific heat divided by temperature $C/T$ increased as -lnT and saturated to a rather large value of 0.2J/molK². These experimental results are discussed in relation to the possible atomic disorder.
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