Electronic states for two possible high-pressure phases (with the ThSi2 str
ucture and with the AlB2 structure) of CaSi2 are determined by means of a l
ocal density approximation band-structure calculation. We confirm that thes
e polymorphs can be regarded as doped sp(2) networks of Si. However, a simp
le picture in terms of K-orbitals is not adequate for explaining the conduc
tion bands, because (i) an s-like band, which is anti-bonding in sp2 connec
tions but bonding between segments of the network, appears and (ii) there i
s pi-d hybridization between Si and Ca.