The exchange interaction parameters in a magnetic system M-Cu-Cu-M (where M is a transition metal Zn, Cu, Ni, Co, Fe or Mn) were derived theor. by using an irreducible tensor method. The expression can be used to calculate the energy levels and magnetic susceptibilities of these systems. The results were compared with the experimental results of 7 transition metal complexes with the type of (CuLMX4)2 where L is an ethylenediamine derivative

Key words: ZINC COMPLEX, IRON COMPLEX, PYRIDINE, COPPER COMPLEX, MAGNETIC PERMEABILITY, COBALT COMPLEX, NICKEL COMPLEX, IRREDUABLE REPRESENTATION, CHAIN STRUCTURE, MANGANESE COMPLEX