We investigated the structure and bonding of carbon atomic lines on the bet
a-SiC(001) surface, using ab initio calculations. In agreement with experim
ent, we find that reconstructions with sp-bonded chains are energetically f
avored over those with sp(3)-like C bonds. However the energy difference be
tween the two types of reconstructions is only a few meV/dimer, and for sma
ll applied compressive stress geometries with sp(3)-bonded sites become fav
ored, in addition, the formation energy of sp(3)-like defects on a sp-bonde
d surface decreases rapidly with increasing defect concentration, pointing
at stable sp(3) lines perpendicular to sp dimers, consistently with experim
ent. A mechanism is proposed for the recently observed sp --> sp(3) transit
ion on carbon terminated beta-SiC(001) surfaces.