A family of primitive models of water, which differ from one another i
n the number and location of interaction sites, is introduced and thei
r properties examined by Monte Carlo simulations. In addition to the e
xisting symmetric 5-site model, which has its origin in the ST2 potent
ial, asymmetric 3- and 4-site descendants of TIPS potentials are intro
duced along with an extended 5-site model which incorporates a short-r
ange repulsion between the like sites. The structure of the fluids def
ined by the primitive models has been investigated in detail by comput
ing site-site correlation functions, both at high and low densities, a
nd the angular distribution of particles engaged in hydrogen bonding.
For completeness, the thermodynamic properties have also been computed
. It transpires that the extended 5-site model, due to its enlarged ra
nge of the hydrogen bond interaction, clearly is much better than all
the other models. It is able to reproduce even semi-quantitatively the
structure of real water, and thus seems well suited to all potential
applications involving water, including perturbation theories using th
e extended model as a reference fluid.