It can be fruitful to view two-component physical systems of attractiv
e monomers, A and B, ''chemically'' in terms of a reaction Af B revers
ible arrow C, where C = AB is an associated pair or complex. We show h
ow to construct free energies in the three-component or chemical pictu
re which, under mass-action equilibration, exactly reproduce any given
two-component or ''physical'' thermodynamics. Order-by-order matching
conditions and closed-form chemical representations reveal the freedo
m available to modify the A-C, B-C, and C-C interactions and to adjust
the association constant. The theory (in the simpler one-component, i
.e., A = B, case) is illustrated by treating a van der Waals fluid. (C
) 1998 Elsevier Science B.V. All rights reserved.