Key points are not available for this paper at this time.
The antiferromagnetic Ising model can also describe a gas with purely repulsive intermolecular forces, and a comparison of the two is made, the transition of such a `gas' to a solid-like structure being the analogue of the appearance of an antiferromagnetic structure. Three simple lemmas enable the asymptotic behaviour of the Mayer cluster sums to be related to other combinatorial problems on the lattice, such as that studied by Hammersley and Broadbent (1957). Some information on these problems is already available, but a detailed discussion is reserved to another paper.
H. N. V. Temperley (Sat,) studied this question.