Magnetic and crystal structures of DyCoSn, HoCoSn and ErCoSn were dete
rmined by neutron diffraction on polycrystalline samples. All crystall
ize in the orthorhombic, TiNiSi type of structure and order antiferrom
agnetically below the following Neel points: 10 K (DyCoSn), 7.8 K (HoC
oSn) and 5 K (ErCoSn). Magnetization against magnetic field strength c
urves indicate a magnetic phase transition occuring at H = 0.26 and 0.
35 T in DyCoSn and HoCoSn, respectively. The magnetic structures of al
l three compounds are square modulated with the wavevector k = [0, k(y
), 0], where k(y) is 5/7, 2/3 and 7/11 in DyCoSn, HoCoSn and ErCoSn, r
espectively. The noncollinear ordering can be described by the A and G
modes in terms of the Bertaut method.