[MnOEP][HCBD], a member of the metalloporphyrin family of donor-acceptor molecule-based magnets, consists of isolated ferrimagnetic chains of alternating $S=2,$ [MnOEP], and $s=1/2,$ [HCBD] units ($OEP=octaethylporphyrinato$ and $HCBD=hexacyanobutadiene$). Analysis of the exchange pathways reveals an exchange along one interchain axis ${(J}ᵢₙₜₑᵣ)$ almost 3 orders of magnitude weaker than the intrachain exchange ${(J}ᵢₙₜᵣₐ),$ and a negligible exchange along the other interchain axis. From the susceptibility and magnetization data we determine ${J}ᵢₙₜᵣₐ$ and ${J}ᵢₙₜₑᵣ$ to be antiferromagnetic with values of ${-}172K$ and ${-}0.4K,$ respectively. At 19.6 K, the system undergoes both lattice and spin dimensionality crossovers in which the ferrimagnetic chains couple antiferromagnetically as two-dimensional Ising sheets.
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Wynn et al. (1997) studied this question.