We report the magnetic structure of the local moment magnetism in high-qual
ity single crystals of the intermetallic compound Er5Ir4Si10, which shows t
wo charge-density-wave (CDW) transitions (T-CDW((1))= 155 K and T-CDW((2))=
55 K). Bulk measurements demonstrate that the system has an effective Curie
-Weiss magnetic moment of 9.7 mu (B) and undergoes long-range antiferromagn
etic (AFM) ordering at 2.8 K. The neutron-diffraction data establish the AF
M structure of the Er3+ With unequal moments at different Er sites aligned
along the c axis where also the CDW transitions occur.