A simple d-p tight binding model is proposed for the transition metal
monocarbides. We show that it reproduces the observed crystal structur
es and (100) surface relaxations. In particular, the model demonstrate
s that the reversal in the surface relaxations between TiC(100) and Ta
C(100) is driven by the d-p band filling, and that the reversal requir
es the d-d interactions between second neighbor metal atoms.