  The magnetic properties of platinum nano-particles ranging in size from a few
to up 300 atoms are investigated through first-principle calculations. It is
found that the total magnetization depends strongly on the local atomic
rearrangements, with an enhancement around five-fold axis. This is due to an
elongation of the nearest neighbor distance together with a contraction of the
2$^{nd}$ distance, resulting in a net interatomic partial charge transfer from
the atoms lying on the sub-surface layer (donor) towards the vertexes
(acceptor).
