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We report measurements of the temperature dependence specific heat, magneticsusceptibility in single crystals of the series of intermetallic compoundsTb$_{1-x}$Y$_x$RhIn$_5$ (nominal concentrations $x= 0.15, 0.30, 0.40, 0.50$ and$0.70$). A mean field approximation to simulate the macroscopic propertiesalong the series has been used. Neutron diffraction data in powdered sample ofnominal concentration Tb$_{0.6}$Y$_{0.4}$RhIn$_5$ reveal AFM propagation vector$k=[\frac{1}{2}~0~\frac{1}{2}]$ with the magnetic moments oriented close to thetetragonal \textit{c} axis. We discuss the role of combined effects ofcrystalline electric field (CEF) perturbations and dilution in the magneticproperties evolution with Y content. In particular, we suggest that changes inthe Tb-In first neighbors distances, i.e. the TbIn$_3$ cuboctahedra distortion,are responsible for changes in the Tb crystalline potential and the possiblereorientation of Tb magnetic moments for $x>$0.4. This reflects non negligiblevariations of the $B^{m}_{n}$ crystal field parameters and the energy levelssplitting with \textit{x}.

Antiferromagnetism weakening with Y-substitution in the TbRhIn$_5$ intermetallic system