UNIQUAC

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ln(γ_i) = ln(Φ_i / x_i) + 10 × q_i × ln(Θ_i / Φ_i) - q_i × ln(t_i) - q_i × summation from j=1 to 3 of [Θ_j × τ_ij / t_j] + l_i + q_i - (Φ_i / x_i) × summation from j=1 to 3 of [x_j × l_j]
where

Θ_i = x_i × q_j / summation from j=1 to 3 of [x_j × q_j]

Φ_i = x_i × r_j / summation from j=1 to 3 of [x_j × r_j]

l_j = 5 × (r_j - q_j) + 1 - r_j

t_i = summation from j=1 to 3 of [Θ_j × τ_ji]

where
τ₁₂ = binary parameter t₁₂
τ₂₁ = binary parameter t₂₁ at a given temperature
r_i = component r
l_i = component l
τ_ii = 1