It is shown that nearest-neighbor antiferromagnetic interactions of identical Ising spins on imbalanced
bipartite lattice and imbalanced bipartite hierarchical fractal result in ferrimagnetic order instead of antiferromagnetic one. On some crystal lattices dilute Ising antiferromagnets may also become ferrimagnets due to
the imbalanced nature of the magnetic percolation cluster when it coexists with the percolation cluster of
vacancies. As evidenced by the existing experiments on FepZn1–pF2, such ferrimagnetism is inherent property of
bcc lattice so thermodynamics of these compounds at low p can be similar to that of antiferromagnet on imbalanced hierarchical fractal.