A Theoretical Study of Influence of Lattice Structure on Multi Pole of f-electron Systems

Using the theoretical formalism of of K Kubo, et al. and R yamatura et al.,, we have theoretically studied the influence of lattice structure on multi pole interaction in f-electron systems. We have applied second order perturbation theory with respect to intersite hopping. The derivation of multi pole interactions was performed for different lattice interactions. One obtains quadrupole interaction for SC lattice, octupole interaction for bcc lattice and for fcc lattice both interactions were observed. It appears that lattice structure plays essential role in the multi pole ordering. The general tendencies of the multi pole interactions were discussed and the results were compared with those of the 8 quaret systems of f 1 ions. We have also mentioned the effective f-f hopping. The important point is that the symmetry of forbitals restrict the form of hopping for the both cases of lattice structure. The work will be quite helpful for those who will be interested to understand the influence of lattice structure and also to know the multi pole interactions.