Table 3 Langmuir, Freundlich and Dubinin–Radushkevich isotherm constants for the adsorption of U(VI) ions onto MOF@PET sorbents.

From: MOF-decorated track-etched membranes for the U(VI) ions sorption removal

Isotherm

Linear equation

Parameter

Value

Experiment

-

\(~{q_0}\), mg/g

418.0

Langmuir

\(\frac{{{C_e}}}{{{q_e}}}=\frac{{{C_e}}}{{{Q_0}}}+\frac{1}{{{Q_0}b}}\)

\({Q_0}\), mg/g

81.30

b, l/ml

125.87

R2

0.95

Freindlich

\(ln{q_e}=ln{k_F}+\frac{1}{n}ln{C_e}\)

\({k_F}\), mg/g

5.29

n

0.85

R2

0.99

Dubinin-Radushkevich

\(ln{q_e}=ln{Q_d} - \beta {\varepsilon ^2}\)

\({Q_d},{\text{mg}}/{\text{g}}\)

34.8

\(\beta\), mol2/kj2 × 104

0.002

\({E_{Dr}}\), kJ/mol

14.4

R2

0.95