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In the development of equations of state for polyatomic molecules,thermodynamic perturbation theory (TPT) is widely used to calculate the changein free energy due to chain formation. TPT is a simplification of a moregeneral and exact multi-density cluster expansion for associating fluids. InTPT all contributions to the cluster expansion which contain chain - chaininteractions are neglected. That is, all inter-chain interactions are treatedat the reference fluid level. This allows for the summation of the clustertheory in terms of reference system correlation functions only. While highlysuccessful, TPT has many handicaps which result from the neglect of chain -chain interactions. The subject of this document is to move beyond thelimitations of TPT, and included chain - chain contributions to the equation ofstate.

Dual Chain Perturbation theory: A new equation of state for polyatomic molecules