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The magnetization steps of quintets, consisting of five identical magneticions coupled by isotropic nearest neighbors antiferromagnetic exchangeinteraction, in the hcp lattice, have been investigated. In that model thereare 17 types of quintets. The values of the magnetic field of the magnetizationsteps of the quintets have been determined by numerical diagonalization of thespin Hamiltonian, which is composed by the isotropic exchange and the Zeemaninteractions. The quintets are composed of individual spin $S$ = 1/2, 3/2 and5/2. The contribution of the quintets for the effective concentration (ortechnical saturation) as a function of the magnetic ions concentration was alsocalculated.

Magnetization steps of $J_{1}$ quintets in the hcp lattice