Structure and magnetic properties of the compounds (ZCCO) are investigated systematically. A structural phase transition from space-group symmetry to is observed in ZCCO. The critical value of the doping, , appears at through the appearance of a splitting of diffraction peaks at room temperature. Measurements of dc magnetization, ac susceptibility, memory effect and exchange bias-like (EB-like) effect have been performed to reveal the glassy magnetic behaviors of ZCCO. The system with is suggested as a spin glass-like (SG-like) of magnetic characterization whereas doping values of $0.58\leqslant x\leqslant 0.90""$ (CG-like) with unidirectional anisotropy. The Cu content suppresses the geometrical frustration of , which may correlate with the pinning effect of Cu sublattice on Cr sublattice to a preferential direction.

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