We report the results of a series of calculations of the electronic st
ructure of ordered, equi-atomic CuAu. We have investigated the effects
of the creation of superzone boundaries on the Fermi surface of CuAu
I when the long-period superlattice, the CuAu II phase, is formed. The
new boundaries destroy appreciable regions of Fermi surface, thus fav
ouring the formation of the latter phase. The positions of the boundar
ies are related directly to the period of the long-period superlattice
and we have investigated their dependence on the electron/atom ratio
and pressure. We find that the results are in very good agreement with
previous experimental measurements of the average domain size in CuAu
II. Thus, we provide strong evidence that Fermi surface topology play
s an important role in determining the period of the long-period super
lattice in CuAu II.