. 2022 Jun 7;12:9380. doi: 10.1038/s41598-022-13233-x

Table 2.

Available empirical correlations for solute/drug solubility in supercritical carbon dioxide.

Correlation	Formula
Chrastil³⁵	$c_{2} = ρ^{a_{1}} exp (\frac{a_{2}}{T} + a_{3})$	Equation (1)
Jouyban et al.³⁶	$ln (y_{2}) = a_{1} + a_{2} ρ + a_{3} P^{2} + a_{4} P T + a_{5} \frac{T}{P} + a_{6} ln (ρ)$	Equation (2)
Kumar and Johnstone³⁷	$ln (y_{2}) = a_{1} + a_{2} ρ + \frac{a_{3}}{T}$	Equation (3)
Garlapati and Madras³⁸	$ln (y_{2}) = a_{1} + (a_{2} + a_{3} ρ) ln (ρ) + \frac{a_{4}}{T} + a_{5} ln (ρ T)$	Equation (4)
Bian et al.³⁹	$y_{2} = ρ^{(a_{1} + a_{2} ρ)} exp (\frac{a_{3}}{T} + \frac{a_{4} ρ}{T} + a_{5})$	Equation (5)
Bartle et al.⁴⁰	$ln (\frac{y_{2} P}{P_{ref}}) = a_{1} + \frac{a_{2}}{T} + a_{3} (ρ - ρ_{ref}), P_{ref} = 0.1 M P a, ρ_{ref} = 700 k g / m^{3}$	Equation (6)
Méndez-Santiago and Teja⁴¹	$T ln (y_{2} P) = a_{1} + a_{2} ρ + a_{3} T$	Equation (7)
Sodeifian et al.⁴²	$ln (y_{2}) = a_{1} + a_{2} \frac{P^{2}}{T} + a_{3} ln (ρ T) + a_{4} ρ ln (ρ) + a_{5} P ln (T) + a_{6} \frac{ln (ρ)}{T}$	Equation (8)
Tan et al.⁴³	$ln (y_{2}) = a_{1} ln (ρ T) + a_{2} ρ + \frac{a_{3}}{T} + a_{4}$	Equation (9)
Gordillo et al.⁴⁴	$ln (y_{2}) = a_{1} + a_{2} P + a_{3} P^{2} + a_{4} P T + a_{5} T + a_{6} T^{2}$	Equation (10)