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 1

Values of the error adjustment coefficients , RMSE, and AIC deduced from fitting the experimental isotherms of AlCl₃, FeCl₃, and InCl₃ on 5,10,15,20-tetrakis(4-methylphenyl) porphyrin H₂TTPP (systems (a), (b), and (c)) with the three advanced models.

Adsorption model	Monolayer model (ideal gas)			Monolayer model (real gas)			Double-layer model (ideal gas)
Adjustment coefficient		RMSE	AIC		RMSE	AIC		RMSE	AIC
Adsorption system (a): AlCl3-H2TTPP
290 K	0.98	1.23	14.99	0.93	2.64	19.88	0.90	2.98	22.99
300 K	0.99	1.22	15.02	0.94	2.88	19.84	0.91	2.99	23.64
310 K	0.98	1.56	18.71	0.95	2.97	20.34	0.92	2.93	23.84
320 K	0.99	1.34	17.64	0.93	2.56	19.65	0.89	3.01	21.98
330 K	0.98	1.89	16.76	0.94	3.24	20.89	0.91	4.02	22.76
Adsorption system (b): FeCl3-H2TTPP
290 K	0.83	5.02	29.01	0.98	1.13	20.51	0.92	2.81	24.72
300 K	0.84	5.12	28.91	0.98	1.11	20.3	0.91	2.98	24.61
310 K	0.82	5.49	28.23	0.99	1.23	21.44	0.93	3.07	25.94
320 K	0.82	4.99	28.99	0.97	1.32	20.98	0.91	3.51	25.16
330 K	0.82	5.01	28.54	0.97	1.29	21.52	0.92	3.11	25.28
Adsorption system (c): InCl3-H2TTPP
290 K	0.62	7.89	36.66	0.89	5.77	30.76	0.98	1.98	27.02
300 K	0.71	7.92	36.7	0.88	5.64	30.72	0.99	2.11	27.64
310 K	0.65	8.13	39.4	0.87	6.78	32.65	0.99	1.99	26.91
320 K	0.64	8.13	38.8	0.82	6.36	31.47	0.97	1.98	26.98
330 K	0.67	7.62	38.4	0.79	5.73	32.28	0.97	2.02	26.56