  The variety of the normal-state magnetic properties of cuprate high-Tc
superconductors is interpreted based on the self-consistent solution of the
self-energy equations for the two-dimensional t-J model. The observed
variations of the spin correlation length with the hole concentration x, of the
spin susceptibility with x and temperature T and the scaling of the static
uniform susceptibility are well reproduced by the calculated results. The
nonmonotonic temperature dependence of the Cu spin-lattice relaxation rate is
connected with two competing tendencies in the low-frequency susceptibility:
its temperature decrease due to the increasing spin gap and the growth of the
susceptibility in this frequency region with the temperature broadening of the
maximum in the susceptibility.
