Isotherm model

Parameters

Equation

Langmuir

V_L, P_L

$V=\frac{V_{L}p}{P_L+p}$

Freundlich

K, x

$V=K{p}^x$

Langmuir-Freundlich

V_L, m, b

$V=\frac{V_L{\left(bp\right)}^m}{1+{\left(bp\right)}^m}$

D-R

D, V₀

$V=V_0\exp \left[-D{\ln }^2\left(P_s/P\right)\right]$

Semi-pore

V_L, b, α

$V=V_L\left[1-\exp \left(-b{p}^{\alpha }\right)\right]$

Toth

V_L, b, k

$V=\frac{V_{L}bp}{{\left[1+{\left(bp\right)}^k\right]}^{1/k}}$