A lot of studying have shown that the EPR ground-state zero-field splitting of the doped system have a close relation with lattice local structure after doped. In the present work, firstly we introduce method of building complete energy matrix of d5 configuration ion in trigonal symmetry as well as EPR theory. Then, by diagonlizing of the complete energy matrix of ds configuration ion in trigonal symmetry, we established a theoretical method for studying the inter-relation between electronic and molecular structure (i.e. the EPR ground-state zero-field splitting of the doped system have a close relation with lattice local structure after doped). Using this method, considering the second-order and fourth-order EPR parameters D and (a-F) simultaneously, we study the EPR theoretical study of lattice local structure for Fe3+ in ZnO: Fe3+ system. The results indicate that the local lattice structure around tetrahedral Fe3+ centers exhibits a compression distortion, we found that not only the radius of Fe3+ ion effect the lattice local structure but also the effective charge of Fe3+ ion, after Fe3+ ion instead of the host ion in the crystals. Finally the lattice local structure have a trend to the (FeO4)5- cluster. |