The low temperature ordering processes in the single-phase system beta
-CeH2-x are analysed using the mean-field approximation of the static
concentration wave theory. It is applied to the subsystem of the x hyd
rogen atoms located in the octahedral interstices;of the f.c.c. metal
lattice. It is shown that, depending upon the value of x, these hydrog
en atoms form, in the low temperature, limit two different ordered sta
tes, in agreement with the neutron diffraction data. In addition, the
boundary values x(1) and x(2) (where both ordered states are equally f
avourable) coincide closely with the concentrations of the low tempera
ture ''pseudocubic'' phases observed in the X-ray experiments.