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The cell model of liquids is extended to apply to r-mer molecules. The treatment is based on the four main assumptions : (i) that the liquid can be represented by a quasicrystalline lattice, (ii) that the elements of the r-mers are point-centres which interact according to the Lennard-Jones potential law, (iii) that the mean intermolecular field acting on each point-centre is harmonic and has spherical symmetry, (iv) that all displacements are small. The resulting equation of state expresses a principle of corresponding states for r-mer liquids.The extension of the treatment to a monomer 3r-mer solution makes it possible to study the excess properties of the solution which result from the changes in the mean field caused by mixing. Explicit formulae are given for the excess volume, entropy and internal energy; the importance of the new effects is briefly discussed.

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