We use recent theoretical advances to develop a functional form for in
teratomic forces in bulk silicon. The theoretical results underlying t
he model include an analysis of elastic properties for the diamond and
graphitic structures and inversions of nb initio cohesive energy curv
es. The interaction model includes two-body and three-body terms which
depend on the local atomic environment through an effective coordinat
ion number. This formulation is able to capture successfully (i) the e
nergetics and elastic properties of the ground-state diamond lattice,
(ii) the covalent rehybridization of undercoordinated atoms, and (iii)
a smooth transition to metallic bonding for overcoordinated atoms. Be
cause the essential features of chemical bonding in the bulk are built
into the functional form, this model promises to be useful for descri
bing interatomic forces in silicon bulk phases and defects. Although t
his functional form is remarkably realistic by the usual standards, it
contains a small number of fitting parameters and requires computatio
nal effort comparable to the most efficient existing models. In a comp
anion paper, a complete parametrization of the model is given, and exc
ellent performance for condensed phases and bulk defects is demonstrat
ed.