The ordering of silver ions in the superionic Conductor alpha-AgI has
been studied using a discrete version of density-functional theory. We
obtained a transition to a low-temperature phase different from that
found by Madden et al. using computer simulations [Phys. Rev. B 45, 10
206 (1992)]. We suggest that the difference originates from the fact
that the I- lattice is fixed in bur study, while the periodic boundary
conditions in the simulation allow certain deformations of the I- lat
tice on the basis of calculated energies for deformed structures. We t
herefore argue that the structural change of the I- lattice and the or
dering of Ag+ ions onto particular sublattices are correlated processe
s, rather than the ordering of Ag+ ions driving the alpha-beta transit
ion, as suggested by Madden et al. The controversial order-disorder tr
ansition within the alpha phase is also discussed in terms of a deform
ation of the I- lattice. [S0163-1829(97)01042-4].