We investigated the evolution of magnetism in the UIr 1-x Rh x Ge system by the systematic study of high-quality single crystals. Lattice parameters of both parent compounds are very similar resulting in almost identical nearest interatomic uranium distance close to the Hill limit. We established the x-T phase diagram of the UIr 1-x Rh x Ge system and found a discontinuous antiferromagnetic/ferromagnetic boundary at x crit = 0.56 where a local minimum in ordering temperature and maximum of the Sommerfeld coefficient 175 mJ/mol K 2 occurs in the UCoGe-URhGe-UIrGe system, signaling an increase in magnetic fluctuations. However, a quantum critical point is not realized because of the finite ordering temperature at x crit . A magnon gap on the antiferromagnetic side abruptly suppresses magnetic fluctuations. We find a fieldinduced first order transition in the vicinity of the critical magnetic field along the b axis in the entire UIr 1-x Rh x Ge system including the ferromagnetic region UCo 0.6 Rh 0.4 Ge -URhGe. *E-mail address: jiri.pospisil@centrum.cz 2 the b axis becomes the easy magnetization axis, similar to the magnetic behavior of FM URhGe. Here the so-called intermediate b axis is characterized by a magnetic moment re-orientation at a critical magnetic field H R = 12 T which restores the SC state 5, 15 . Recent papers revealed strong tricritical fluctuations in the vicinity of H R 16, 17 accompanied by a Lifshitz-type transition and enhancement of the coefficient 18-20 .We studied the magnetic properties and quantum critical phenomena in the UIr 1-x Rh x Ge system which has an interesting FM/ antiferromagnetic (AFM) boundary at low temperature. This AFM/FM boundary is of interest because the AFM and FM are separated at this point throughout the whole orthorhombic TiNiSi-type UTGe system by the Hill limit 4 . Many studies have been conducted to determine the delicate balance of magnetic interactions in UTGe alloy systems, but they have been primarily on polycrystalline samples where the crucially important magnetocrystalline anisotropy remains hidden 4, 21-26 . Our investigation of single crystal study has allowed us to develop a general picture of the magnetism in the AFM part of the UIr 1-x Rh x Ge system which surprisingly preserves many of the magnetic features of the FM parent compounds URhGe and UCoGe. Our discussion and conclusions are based on a detailed analysis of the crystal structure, magnetization, and heat capacity.