Abstract
A valence-bond (VB) study is made of the channel structure of indirect-exchange interactions between paramagnetic transition-metal cations via diamagnetic ligands. The Introduction briefly surveys the literature regarding the channel concept in molecular-orbital (MO), VB, and hybrid MO-VB treatments. A computationally convenient expression, well known in direct-exchange formalism, for the exchange-coupling constant J is extended with corrections due to biquadratic terms in the effective spin Hamiltonian. We present a decomposition of J into a sum of contributions from unpaired-electron pairs (channel sum). The validity of this decomposition is numerically confirmed.
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