Theoretical studies of the ground-state geometries, electronic structure, b
inding energies, ionization potentials, and magnetic moments of Rh-n (n=2-1
3) clusters have been carried out using a combination of molecular-dynamics
and ab initio density-functional scheme including gradient corrections. Fo
r clusters containing less than eight atoms, the ground states have been de
termined by starting from several random configurations and minimizing the
geometry using first-principles density-functional calculations. For larger
clusters, the initial geometries were obtained via molecular-dynamics simu
lations based on a tight-binding many-body potential and reoptimized using
the density-functional approach. The ground-state structures are all compac
t arrangements and the clusters containing 8, 9, 10, 11, and 12 atoms resem
ble icosahedral fragments. The clusters are shown to undergo progression of
magnetic behaviors with size. While most clusters are ferromagnetic with v
arying magnetic moments, Rh-4 and Rh-6 are found to have nonmagnetic states
that are nearly degenerate with ferromagnetic states. The variation in the
magnetic moments is shown to be intimately linked to the electronic struct
ure. [S0163-1829(99)06207-4].