simultaneously.

Figure 1.4: Schematic of the constraints imposed on the associating atomic molecules in
Finally, the free energy functional of a fluid mixture of these ‘m’ associating species
can be written as a perturbation to the reference hard sphere fluid. Truncating the
free energy to first order gives [58],
A — Aref I Aassoc
(1.3)
where Are≠ is the free energy functional of the reference fluid and Aassoc is given by
Λ∙"∞ ʃ<⅛<4j p1(r) EAer<0 (lnXχ(r,ω) - x⅛.") + ɪ)
ɪ =------------⅛-----------<1'4>
where к is the Boltzmann constant, T is the temperature, pi is the density of molecules
25
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