Using atomic relaxation techniques, dislocation dipoles of various siz
es and orientations have been studied for monolayers with the Lennard-
Jones potential (LJP) and nearest-neighbour piecewise linear force (PL
F) interactions. In the LJP system the lower energy vacancy dipoles ha
ve over a wide range of angles an energy which is mainly a function of
the vacancy content of the dipole. There is a competition between the
elastic forces and the topological constraints which favour a five-fo
ld coordinate vacancy (FCV) at the centre of each core. For the short
range PLF system the lattice usually compresses upon the introduction
of a dislocation, a consequence of the soft core of the interaction po
tential, and interstitial dipoles are lower in energy. For the long ra
nge LJP system the dislocations are mobile whereas for the PLF system
they are pinned. The relevance of these results to existing theories o
f melting are discussed.