The energy bands and magnetic moments of the magnetic phases of face-centre
d-cubic iron are calculated from first principles with the augmented spheri
cal wave method and the fixed-spin-moment procedure. An antiferromagnetic p
hase that requires a four-atom cell to exist is added. This phase is the cu
rrent ground state of the bulk layers of Fe film epitaxial on Cu(001). A fe
rrimagnetic phase and a very-low-spin phase are also found and compared wit
h previous work. In a narrow range of volume that includes the bulk layers
of the Fe films on Cu(001) at least eight magnetic phases exist.