Hubbard tight-binding Hamiltonian is used to derive the local magnetic
moments of low-index and vicinal V surfaces. The polarization of the
low-index surface atoms can be qualitatively explained through the coo
rdination number rule but inwards relaxation tends to suppress it. For
vicinal surfaces, both the single-cell and double-cell magnetic perio
dicities are considered. The magnetic moments at the edge of the step
are much lower than on their neighbouring atoms in the plane of the st
ep and to atoms of the less coordinated crystallographic faces (100) a
nd (111).