We determine from first-principles the Curie temperature Tc for bulk Co in
the hcp, fcc, bcc, and tetragonalized bct phases, for FeCo alloys, and for bcc
and bct Fe. For bcc-Co, Tc=1420 K is predicted. This would be the highest Curie
temperature among the Co phases, suggesting that bcc-Co/MgO/bcc-Co tunnel
junctions offer high magnetoresistance ratios even at room temperature. The
Curie temperatures are calculated by mapping ab initio results to a Heisenberg
model, which is solved by a Monte Carlo method