Statistical Physics Modeling of Sorption Isotherms of Aluminum, Iron, and Indium on Tetraphenylporphyrin (H₂TPP) and Tetrakis(4-tolylphenyl)porphyrin (H₂TTPP): Phenomenological Investigation of Metalloporphyrins at the Molecular Level

Table 2

Values of the error fitting coefficients , RMSE, and AIC deduced from the numerical adjustment of experimental data of AlCl₃, FeCl₃, and InCl₃ on tetraphenylporphyrin H₂TPP (systems (a), (b), and (c)) with the three statistical physics models.

Adsorption model	Mono-layer model (ideal gas)			Mono-layer model (real gas)			Double-layer model (ideal gas)
Adjustment coefficient		RMSE	AIC		RMSE	AIC		RMSE	AIC
Adsorption system (a): AlCl3-H2TPP
290 K	0.98	1.11	11.89	0.92	3.44	15.67	0.89	3.89	18.22
300 K	0.97	1.12	12.33	0.93	3.12	15.80	0.90	3.83	18.51
310 K	0.98	1.32	13.56	0.93	3.17	16.42	0.89	3.99	19.56
320 K	0.99	1.36	13.64	0.94	3.43	17.02	0.89	4.15	19.20
330 K	0.98	1.59	14.52	0.93	3.51	16.45	0.92	4.17	18.92
Adsorption system (b): FeCl3-H2TPP
290 K	0.81	4.02	22.31	0.98	1.89	14.30	0.90	3.24	18.22
300 K	0.85	4.54	23.52	0.97	1.82	14.76	0.92	3.54	18.97
310 K	0.83	4.72	23.54	0.98	1.73	15.64	0.94	3.61	19.45
320 K	0.84	4.99	22.92	0.96	1.71	15.99	0.92	4.04	18.83
330 K	0.83	5.15	23.64	0.98	1.66	15.78	0.91	4.22	19.34
Adsorption system (c): InCl3-H2TPP
290 K	0.73	6.66	30.14	0.86	4.54	26.12	0.97	1.28	19.04
300 K	0.73	6.51	31.24	0.85	4.82	26.45	0.98	1.34	20.42
310 K	0.75	7.21	30.74	0.83	4.71	27.08	0.99	1.52	20.84
320 K	0.74	7.54	31.67	0.80	5.02	27.64	0.98	1.49	20.94
330 K	0.71	6.94	31.84	0.82	5.64	27.54	0.98	1.69	21.06