Two new Cu(II)-based structures containing alternating chains and their magnetic properties are reported. Reaction of CuBr₂ and 2-aminopyridine in methanol yielded [(2-aminopyridine)μ-Br(μ-OMe)Cu]_n (1) which crystallizes in the triclinic space group P-1. Cu(II) ions are linked alternately by bibromide and bi-methoxide bridges into chains parallel to the a-axis. Reaction of copper perchlorate hexahydrate with 4-pyridone and pyrazine in methanol yielded [(μ-pz)(μ-κ-O-4-pyridone)₂(μ-OH)₂Cu₂]_n(ClO₄)_2n (2). The Cu(II) ions are alternately linked by bihydroxide and bi-κ-O-4-pyridone species parallel to the a-axis. Those chains are further linked by bridging pyrazine molecules ∼ parallel to the b-axis, with the pyrazine molecules and bi-hydroxide bridges alternating. The net effect is a rectangular lattice where each side of the rectangle is an alternating chain. The layers are separated by perchlorate ions. Both compounds are diamagnetic at room temperature.