The name is absent

directional attraction sites as shown in figure 3.1. From TPTl, the free energy func-
tional for such a system of associating hard spheres can be written as a perturbation
to the reference hard sphere fluid.

A[p(r)] = A⅜(r)] + Λ≡^λs∏γ)] + A≡^'^soc[p(r)]          (3.7)

where A^2d[p(r)] is the ideal gas free energy, A'^εx,7ω[p(r)] is the contribution to the
free energy due to the reference fluid of hard spheres and is approximated using
the weighted density functional developed by Tarazona [107]. _j4^f'^x,'^ωsoc[p(r)] is the
contribution to the free energy due to association and can be written from Chapman
et. al. [58].

where -Хд(г) is the fraction of atoms not bonded at site A and the sum is over all the

sites.                                                                                                          '

X√r₁) l + ^_BerKg_hs(_a-,_Pbulk)f_ABfdr2p(r)XB(r₂)'        (³'⁹)

where K is a geometric constant which depends upon the bonding volume, g>_ιs is
the hard sphere correlation function, and f_AB is the association Mayer /-function
(averaged over all configurations of sites A and B),

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