Quasi-particle band structure calculations are performed for the geome
try-optimized diamond (111)2 x 1 and (100)2 x 1 surfaces within the GW
approximation. The C(111)2 x 1 surface exhibits a strong reconstructi
on resulting in rr-bonded chains of surface atoms. However, the precis
e positions of the chain atoms are still under debate. Ideal, buckled,
and dimerized chains are discussed. We find agreement with spectrosco
pic data, including the correct surface gap, only for the dimerized st
ructure. From an ab initio total energy minimization within DFT-LDA we
favour the 2 x 1 symmetric dimer reconstruction for the C(100) surfac
e. The resulting quasi-particle band structure exhibits two well separ
ated (dangling-bond related) surface bands within the fundamental gap.