The nature and magnitude of the spin exchange interaction within the half-filled band of 1-D stacks of mixed radical ion crystals (MRIC) consisting of two hydrocarbons H 1 and H 2 with different ionization potentials and electron affinities have been investigated theoretically. In a fully reduced or oxidized 1-D crystal, each elementary unit is an anion radical or a cation radical: (H 1 ...H 2 ) •---or --(H 1 ...H 2 ) •+ --. In contrast to organic radical cation (anion) crystals which consist of identical polycyclic hydrocarbons -(H δ ‚‚‚H δ ) •+or -(H δ ‚‚‚H δ ) •-with a metalic or semiconducting ground state, the ground state of some classes of MRICs is a magnetic one. The band theory of magnetic interaction in many electron π-systems is applied to calculate the different contributions of the effective Heisenberg exchange integral.
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