Density functional calculations with the B3-LYP functional were used to opt
imize the platinum-carbon cationic clusters, PrCx+, 1 less than or equal to
x less than or equal to 16, in both the doubler and quartet states of the
linear, fan, opec-ring, closed-ring, and one-carbon-ring geometries. Trends
in stability, Pt+-C-x binding energy, doublet-quartet excitation energy, a
nd Pt-C bond lengths were investigated. Explanations for these patterns are
provided in terms of orbital interactions and changes imposed on the carbo
n chain by the metal atom. In accord with the previously studied palladium-
carbon cations, the PtCx+ clusters favored a linear geometry for 3 less tha
n or equal to x less than or equal to 9. For larger clusters, the open-ring
(Pt inserted in C-x ring) and closed-ring (Pt bound to two atoms of closed
C-x ring) families exhibit the lowest-energy structures. The stability and
the nature of the Pt-C bonding in both the closed-ring and one-carbon-ring
(Pt bound to one atom of closed C-x ring) PtCx+ structures depend greatly
on the aromaticity of the corresponding C-x ring. However, unlike their pal
ladium counterparts, the closed-ring platinum clusters were found invariabl
y to be more stable than the respective one-carbon species. The stability o
f forming two Pt--C sigma bonds is due to relatively lower energy sd hybrid
orbitals from the platinum cation.