Table 4 Estimated isotherm parameters for adsorption of Cd(II) by Tin oxide nanoflowers.

From: Investigation of cadmium removal using tin oxide nanoflowers through process optimization, isotherms and kinetics

Langmuir Parameters

Freundlich Parameters

\(\:{q}_{mL}\)

28.99 mg/g

\(\:n\)

4.25

\(\:{K}_{L}\)

2.15 L/mg

\(\:{K}_{F}\)

17.49 (mg/g)·(mg/L)(−1/n))

\(\:{R}^{2}\)

0.923

\(\:{R}^{2}\)

0.984

\(\:{X}^{2}\)

1.605

\(\:{X}^{2}\)

0.439

\(\:ARE\)

8.11

\(\:ARE\)

4.000

\(\:RMSE\)

1.871

\(\:RMSE\)

0.845

\(\:HYBRID\)

21.501

\(\:HYBRID\)

6.782

Temkin Parameters

D-R Parameters

\(\:{K}_{t}\)

45.85 L/mg

\(\:{q}_{mL}\)

94.19 mg/g

\(\:{b}_{t}\)

17.0 kJ/mol

\(\:\beta\:\)

0.00158 mol2/kJ2

\(\:{R}^{2}\)

0.9904

\(\:{R}^{2}\)

0.9892

\(\:{X}^{2}\)

0.168

\(\:{X}^{2}\)

0.301

\(\:ARE\)

0.222

\(\:ARE\)

0.313

\(\:RMSE\)

3.916

\(\:RMSE\)

4.459

\(\:HYBRID\)

0.168

\(\:HYBRID\)

0.301

Sips Parameters

Toth Parameters

\(\:{q}_{mL}\)

57.13 mg/g

\(\:{q}_{mL}\)

84.10 mg/g

\(\:{\beta\:}_{s}\)

0.379

\(\:{t}_{0}\)

0.194

\(\:{K}_{S}\)

0.453

\(\:{K}_{F}\)

0.351

\(\:{R}^{2}\)

0.9894

\(\:{R}^{2}\)

0.9904

\(\:{X}^{2}\)

0.252

\(\:{X}^{2}\)

0.221

\(\:ARE\)

3.51

\(\:ARE\)

3.32

\(\:RMSE\)

0.692

\(\:RMSE\)

0.659

\(\:HYBRID\)

4.281

\(\:HYBRID\)

3.739