Neutron diffraction and magnetic susceptibility studies of (Li1-3xFex)NiPO4
(x = 0 and x = 0.033) compounds reveal remarkable differences between the
magnetic properties of pure LiNiPO4 and those of its lightly iron-doped der
ivative. The spin system associated with the Ni2+ ions (S = 1) in the pure
compound undergoes a collinear antiferromagnetic ordering at T-N = 19.1 +/-
0.5 K, with the characteristics of weakly coupled two-dimensional (2D) Isi
ng square planes. By contrast, randomly intercalated iron spins (in Li site
s) between Ni2+ planes comprise a spin-glass-like subsystem which, despite
their minute amount, drives the antiferromagnetic transition to higher temp
eratures T-N= 25.2 +/- 0.5 K; and significantly modifies the critical behav
ior of the 2D Ni2+ system. It is argued that the doped compound can serve a
s a model system for studying the randomly coupled planar Ising model.