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2 Thermodynamic Properties from the Configuration Integral. 3 The Pairwise Additivity Assumption. 4 Mayer Cluster Function and Irreducible Integrals. 5 The Virial Equation of State. 6 The Virial Equation of State for Polyatomic Molecules. 7 Thermodynamic Properties from the Virial Equation of State. 8 equilibrium of Virial Coefficient Formulae from the Grand Canonical Ensemble.