The name is absent

correlation function for an inhomogenous hard sphere reference fluid, and F^aa (rɪ, r₂)

is the association Mayer-/ function given as

F^αα'(rι,r₂) = [exp(∕3ε₀ - /M>nd(^rι, r₂)) - 1],

where ε₀ is the association strength and u^_d ɪɛ ^t^^ιe bonding potential. In the limit
of complete association, ʌ^(rɪ) → 0 and ε → ∞, leading to following simplifications,

^a Kexp(0ε_o) f dr₂Xg'(r₂)p^s_a^e,⁹(r₂)y^aa'(r₁,r₂)exp(-β^_d(r₁,r₂))'    '

Two approximations were made to obtain simple analytical expressions for X%,

• Each site reaches its vanishing limit at the same rate, i.e. X∩ (r₂) ≈ ^(∏)∙
Thereby,

A'exp(∕3ε₀)∕dr₂p^(r₂)y^αα'(r₁,r₂)cxp(-∕3z√₆χ'_d(r₁,r₂))'  ^ɜ'²^

• The inhomogeneous cavity correlation function, y^aa (rɪ, r₂) is approximated by
its bulk value (at contact) at a weighted density.

Using these approximations the final expression for ^^εx=^assoc j_s given as

/M^βx~∏ = / ⅛ι^p^(r₁)^f-∣ln^'>^,fc(σ^',[p^(rι)])

∙'      q=1           a `

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