Table 3 Values of the correlation coefficient R2, the residual root mean square coefficient RMSE and the Akaike information criterion AIC deduced from the numerical adjustment of experimental isotherms of NiCl2 on 5,10,15,20-tetrakis(4-methylphenyl) porphyrin with the four statistical physics models.

From: Interpretation of the adsorption of metals on quartz crystal based-macromolecule via advanced modeling of equilibrium isotherms

Adsorption system

Nickel chloride-porphyrin

Temperature (K)

285

290

295

300

Mono-layer model (ideal gas)

R2

0.81 (± 0.03)

0.77 (± 0.09)

0.82 (± 0.02)

0.83 (± 0.01)

RMSE

6.66 (± 0.69)

7.3 (± 0.92)

6.91 (± 0.81)

7.45 (± 0.89)

AIC

29.1 (± 3.7)

31.6 (± 4.16)

30.67 (± 4.2)

29.42 (± 3.67)

Mono-layer model (real gas)

R2

0.99 (± 0.005)

0.97 (± 0.009)

0.98 (± 0.007)

0.98 (± 0.004)

RMSE

1.66 (± 0.1)

1.78 (± 0.09)

1.22 (± 0.5)

1.45 (± 0.2)

AIC

19.4 (± 1.52)

20.7 (± 1.51)

19.47 (± 1.34)

19.67 (± 1.74)

Double-layer model (ideal gas)

R2

0.81 (± 0.02)

0.82 (± 0.03)

0.78 (± 0.05)

0.82 (± 0.01)

RMSE

4.8 (± 0.55)

3.29 (± 0.12)

5.21 (± 0.43)

4.95 (± 0.5)

AIC

26.6 (± 1.99)

26.8 (± 1.39)

27.91 (± 2.7)

26.3 (± 1.64)

Double-layer model (real gas)

R2

0.84 (± 0.04)

0.85 (± 0.02)

0.79 (± 0.04)

0.8 (± 0.05)

RMSE

5.9 (± 1.64)

4.89 (± 0.36)

6.02 (± 1.9)

5.82 (± 1.88)

AIC

28.7 (± 2.7)

29.31 (± 3.26)

28.5 (± 3.5)

27.28 (± 3.07)

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