The calculation of step energies and a fortiori of step-step interactions i
n transition metals remains up to now out of reach of ab initio methods. Us
ing a tight-binding model in a s. p and d orbital basis set we have studied
the energetics of several vicinal surfaces of Rh and Pd with (111), (100)
and (110) terrace orientations. The energy per step atom exhibits a damped
oscillatory behaviour as a function of the terrace width. This reveals the
existence of oscillatory electronic step-step interactions that are strongl
y dependent on the geometry and on the element and are of the same order of
magnitude as other interactions. The possible existence of a magnetic mome
nt in the vicinity of the step edges is also discussed. (C) 2001 Elsevier S
cience B.V. All rights reserved.