We investigate different configurations of Rh on Ag(001) to calculate
the magnetic moment per atom in comparison with a free standing monola
yer and bulk rhodium. Adsorbed layers, mixed layers, coated layers and
islands are considered. The dependence of the magnetic moment is calc
ulated with respect to the exchange integral J in a self-consistent ti
ght-binding calculation with spin-independent hopping integrals but sp
in-dependent diagonal terms. The calculations were done with the recur
sion method using a real-space or a k-space basis. The value of J, for
which we find the onset of magnetism, increases with increasing numbe
r of Rh neighbours of a Rh atom. Also in a mixed Rh0.50Ag0.50 layer ma
gnetism is destroyed due to a shift of the Fermi energy with respect t
o the peaks in the d-state density of states of rhodium.