The use of individual molecules as functional electronic devices was propos
ed in 1974 (ref. 1). Since then, advances in the field of nanotechnology ha
ve led to the fabrication of various molecule devices and devices based on
monolayer arrays of molecules(2-11). Single molecule devices are expected t
o have interesting electronic properties, but devices based on an array of
molecules are easier to fabricate and could potentially be more reliable. H
owever, most of the previous work on array-based devices focused on two-ter
minal structures: demonstrating, for example, negative differential resista
nce(8), rectifiers(9), and re-configurable switching(10,11). It has also be
en proposed that diode switches containing only a few two-terminal molecule
s could be used to implement simple molecular electronic computer logic cir
cuits(12). However, three-terminal devices, that is, transistors, could off
er several advantages for logic operations compared to two-terminal switche
s, the most important of which is 'gain'-the ability to modulate the conduc
tance. Here, we demonstrate gain for electronic transport perpendicular to
a single molecular layer (similar to 10-20 Angstrom) by using a third gate
electrode. Our experiments with field-effect transistors based on self-asse
mbled monolayers demonstrate conductance modulation of more than five order
s of magnitude. In addition, inverter circuits have been prepared that show
a gain as high as six. The fabrication of monolayer transistors and invert
ers might represent an important step towards molecular-scale electronics.