  We show that considerable orbital magnetic moments and magneto-crystalline
anisotropy energies are obtained for a Fe monatomic wire described in a
tight-binding method with intra-atomic electronic interactions treated in a
full Hartree Fock (HF) decoupling scheme. Even-though the use of the orbital
polarization ansatz with simplified Hamiltonians leads to fairly good results
when the spin magnetization is saturated this is not the case of unsaturated
systems. We conclude that the full HF scheme is necessary to investigate low
dimensional systems.
