Virial expansion and condensation with a new generating function

Mayer’s convergence method for virial expansion and condensation is studied using a new generating function for canonical partition function, which directly depends on irreducible cluster integral, βk, unlike Mayer’s work where it depends on reducible cluster integral, bl. The virial expansion, criteria for its validity and criteria for condensation, etc. are derived from our generating function. All earlier Mayer’s results are obtained from this new generating function.