In this paper, we present a method for computing the resistance of mol
ecular wires and illustrate it with a systematic theoretical study of
a particular class of organic molecules. These molecules consist of on
e or more benzene rings with a thiol(-SH) group at the ends. This end
group can attach readily to metallic surfaces, thus allowing the molec
ule to function as a nanoelectronic interconnect. The conduction throu
gh these molecules at low bias occurs by tunneling, leading to resista
nces that are typically several tens of megaohms. The resistance goes
up exponentially with the number of rings and is sensitive to the rela
tive orientation of the rings and the bonding between them. The Green-
function-based method presented here provides a powerful tool for accu
rate modeling of the semi-infinite contacts that are used to measure m
olecular resistance.