The superexchange interaction in cyano-bridged transition metal dimers is a
nalysed by a valence bond configuration interaction model in combination wi
th fourth order perturbation theory. Ferro- and antiferromagnetic contribut
ions to the exchange splitting are expressed in terms of metal-ligand hybri
dization matrix elements, metal-to-ligand, ligand-to-metal, metal-to-metal
charge transfer energies, and intra-atomic exhange integrals. The formalism
is simplified and we arrive at a two-parameter model, with which it is pos
sible to estimate magnetic ordering temperatures of cubic stoichiometric Pr
ussian Blue like phases containing first row transition metals. The relevan
ce and applicability of our theoretical results is demonstrated on critical
temperatures reported in the literature. The model accounts for both ferri
- and ferromagnetic ordering temperatures. It is found that cyanide is an e
fficient mediator of exchange due to the participation of the pi and pi* or
bitals to equal extent.