We analyze the stability of magnetic states obtained within the tight-
binding model solved by molecular dynamics for cube-octahedral (fee) a
nd icosahedral clusters of 3d (Ni and Co) and 4d (Pd, Rh, and Ru) tran
sition metals. The magnetic states are stabilized by the Hund's rule e
xchange interaction between the d orbitals. Taking realistic parameter
s deduced from band structure calculations and spectroscopic data, we
obtained saturated ferromagnetism for Ni-13, Co-13, and Pd-13 clusters
, while Rh-13 fcc and Ru-13 clusters are partially magnetic, with an a
ntiferromagnetic orientation of the moments on the central atoms in Ru
clusters. Our results for 4d transition-metal clusters agree qualitat
ively with the recent experimental data and with other calculations. M
etastable magnetic clusters were identified in several situations. We
found a dependence of the equilibrium lattice constant on the magnetiz
ation in the considered clusters which may be explained by the charact
er of wave functions in the cluster electronic structure.