The Ornstein-Zernike equations for mixtures of monomers with coincident oligomers
(coincident dimers, trimers,...,n-mers).
![{\displaystyle h_{an}(r)-c_{an}(r)=\int h_{aa}(r')~\rho _{a}~c_{an}(|r-r'|)dr'~~~~~n=a,2,3,...}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ac590bbe72312ca8de2078f98ca1343bc395163c)
Since all oligomers are at infinite dilution, the OZ's for all
are decoupled. The first member is for the bulk monomer fluid a (with size
and
energy
)
![{\displaystyle h_{aa}(r)-c_{aa}(r)=\int h_{aa}(r')~\rho _{a}~c_{aa}(|r-r'|)dr'}](https://wikimedia.org/api/rest_v1/media/math/render/svg/98dd2a3dcb0e6f4128de5eb0ffb13c684814fea9)
For a coincident dimer (
) of size
and
energy
at infinite dilution in the bulk a-monomers:
![{\displaystyle h_{a2}(r)-c_{a2}(r)=\int h_{aa}(r')~\rho _{a}~c_{a2}(|r-r'|)dr'}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9887f5f3424ff3c2d6508e0027ba6b812b4cf13d)
For a coincident trimer (
) of size
and
energy
at infinite dilution in the bulk a-monomers:
![{\displaystyle h_{a3}(r)-c_{a3}(r)=\int h_{aa}(r')~\rho _{a}~c_{a3}(|r-r'|)dr'}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9588f828764fcb60bae7a5dc7e7d97eca2001fac)