The design of molecular electronic
circuits will require the development
of strategies for making controlled interconnections between nanoelectrodes.
The simplest example of a molecular electronic component consists
of aryl rings with para-anchoring functionalities, commonly isocyanide
or thiol groups. In particular, 1,4-phenylene diisocyanobenzene (1,4-PDI)
has been shown to form conductive one-dimensional, oligomeric chains
that are composed of alternating gold and 1,4-PDI units in which a
gold adatom is linked to two trans isocyanide groups. Density functional
theory (DFT) calculations of the oligomerization pathway reveal that
growth occurs via a vertical, mobile Au–PDI adatom complex
that forms by binding to the gold substrate and oligomerizes by the
gold adatom attaching to the isocyanide terminus of a growing chain.
In this case, the gold atoms in the oligomer derive from the gold
substrate. In principle, bridging between adjacent electrodes could
be tuned by controlling the 1,4-PDI dose. However, because both nucleation
of the adatom complex and the subsequent oligomerization reactions
occur at the periphery of gold nanoparticles, it is postulated that
oligomer growth is inherently self-limiting. An analytical model is
developed for this process that demonstrates the existence of self-limiting
growth. This is modeled in greater detail using kinetic Monte Carlo
simulations with the energy parameters derived from DFT calculation
on gold that confirm that the growth is self-limiting and predicts
that bridging between nanoelectrodes should only occur for spacings
less than ∼12 nm.