Abstract. -We report low-temperature thermal-expansion measurements on single crystals of the layered heavy fermion system CeRhIn5−xSnx (0.3 ≤ x ≤ 0.6) and compare it with a previous study on the related cubic system CeIn3−xSnx [R. Küchler et al., Phys. Rev. Lett. 96, 256403 (2006)]. Both systems display a quantum critical point as proven by a divergent Grüneisen ratio. Most remarkably, the three-dimensional itinerant model explains quantum criticality in both systems, suggesting that the crystalline anisotropy in CeRhIn5−xSnx is unimportant. This is ascribed to the effect of weak disorder in these doped systems.Quantum critical points (QCPs) in intermetallic compounds are of great scientific interest, as they provide the origin of non-Fermi liquid (NFL) behavior and novel ground states like unconventional superconductivity (SC). Heavy fermion (HF) systems, i.e. rare-earth or actinidebased compounds with competing Kondo-and exchange interactions are prototype systems for the investigation of QCPs, and different classes of QCPs have been identified [1]. In one class, the observed properties are in agreement with the predictions of the spin-density-wave (SDW) theory, which considers the f -electrons as itinerant in the entire regime close to the QCP. In another class of materials (most prominent examples include CeCu 6−x Au x [2] and YbRh 2 Si 2 [3-5]) there are strong indications for a localization-transition of the f -electrons due to the breakdown of Kondo screening at the QCP. SC has been observed in some but not all compounds close to QCPs and may even occur near first-order quantum phase transitions (QPTs) like in CeRh 2 Si 2 [6, 7] under pressure, which lack any signatures of NFL behavior.There are several indications that magnetic anisotropy may be a crucial parameter for quantum criticality: (i) quasi-two-dimensional (2D) magnetic fluctuations have been observed at the QCP in orthorhombic CeCu 5.9 Au 0.1 [8] with an anomalous energy over temperature scaling of the dynamical susceptibility [2], which strongly violates the predictions of the itinerant SDW theory, (ii) a locally critical QCP has been predicted for the case of 2D magnetic fluctuations [9], (iii) SC in layered CeTIn 5 (T=Co, Ir, Rh) occurs at ten times higher temperatures compared to the cubic relative CeIn 3 [10,11] and (iv) spin-liquid formation among the local moments, proposed in the presence of strong geometrical frustration (which may possibly be enhanced in 2D magnetic systems), may act as competing mechanism against the Kondo-singlet formation [12,13].In order to systematically investigate the relevance of magnetic anisotropy on quantum criticality, a comparison of cubic CeIn 3 with layered CeTIn 5 is most promising. The cubic point symmetry of Ce atoms in the former must lead to isotropic magnetic fluctuations. By contrast, in CeTIn 5 the alternating series of CeIn 3 and TIn 2 , stacked along the c-axis (for the crystal structures see Fig. 1 Hydrostatic pressure experiments have been performed on cubic CeIn 3 (Néel temperature T N at ...