The rippled relaxation of the TiC(001) surface is examined, using a fu
ll-potential linear muffin tin orbital electronic structure calculatio
n. We investigate the underlying physics of the relaxation in a manner
which forms a close correspondence with historically important, analy
tic models of surface relaxation, and compare to previously calculated
results for TaC. Unlike a recently reported tight-binding model, our
calculations for TiC predict outward relaxation for the surface carbon
, and inward relaxation for titanium, which, while reduced in magnitud
e, is the same direction of relaxation found in TaC.