Exploring the performance of magnetic methacrylic acid-functionalized β-cyclodextrin adsorbent toward selected phenolic compounds

Mamman, S.; Yaacob, S. F. F. S.; Raoov, M.; Mehamod, F. S.; Zain, N. N. M.; Suah, F. B. M.

doi:10.1186/s40543-023-00367-4

Journal of Analytical Science and Technology

Table 2 Details of isotherm constants for the adsorption of selected phenolic compounds onto Fe₃O₄@MAA-βCD

From: Exploring the performance of magnetic methacrylic acid-functionalized β-cyclodextrin adsorbent toward selected phenolic compounds

Isotherm models	Parameters	298 K	308 K	318 K	328 K
2,4-DCP
Langmuir	\({q}_{m}\) (mg g⁻¹)	74.5475	72.9927	64.1026	36.3636
	b (L mg⁻¹)	0.3951	0.0234	0.0192	0.0267
	R²	0.9535	0.6150	0.6346	0.7792
	R_L	0.0119	0.0163	0.0164	0.0162
Freundlich	K_F (mg g⁻¹) (L mg⁻¹)^1/n	1.7571	1.6235	1.4478	1.2294
	N	1.1497	1.1833	1.2223	1.3330
	1/n	0.8698	0.8451	0.8182	0.7502
	R²	0.9969	0.9768	0.9750	0.9620
Temkin	K_T (L mg⁻¹)	0.6499	0.6638	0.5573	0.5163
	b_T (kJ mol⁻¹)	257.7636	276.3915	329.4766	449.4295
	R²	0.9189	0.9058	0.9346	0.9670
Dubinin–Radushkevich	\({q}_{m}\) (mg g⁻¹)	18.6734	18.7670	16.7584	15.3990
	β (L mg⁻¹)	1.0974	1.1015	1.3011	2.2853
	R²	0.7684	0.8048	0.8604	0.8962
	E	0.6750	0.6737	0.6199	0.4677
Halsey	N	− 1.1497	− 1.1833	− 1.2222	− 1.3165
	K_H	0.5230	0.5012	0.6362	0.7740
	R²	0.9535	0.6150	0.6346	0.7792
2,4-DNP
Langmuir	\({q}_{m }\)(mg g⁻¹)	80.0000	67.5676	80.6452	62.2903
	b (L mg⁻¹)	0.0438	0.0427	0.0199	0.0064
	R²	0.9396	0.9417	0.8158	0.1101
	R_L	0.016	0.0159	0.0163	0.0166
Freundlich	K_F (mg g⁻¹) (L mg⁻¹)^1/n	3.5449	2.9512	1.7354	1.0980
	n	1.2355	1.2475	1.1671	0.9467
	1/n	0.8094	0.8016	0.8568	0.5797
	R²	0.9983	0.9830	0.9842	0.9542
Temkin	K_T (L mg⁻¹)	1.2686	1.0368	0.6423	0.4624
	b_T (kJ mol⁻¹)	241.974	262.0056	284.9992	288.595
	R²	0.9100	0.9529	0.9402	0.9572
Dubinin–Radushkevich	\({q}_{m}\)(mg g⁻¹)	22.2646	21.1979	19.8142	20.1640
	β (L mg⁻¹)	0.6691	0.4505	1.2056	2.3790
	R²	0.7676	0.8657	0.8647	0.9116
	E	0.8644	1.0535	0.6439	0.4584
Halsey	N	− 1.2355	− 1.2475	− 1.1671	− 1.0563
	K_H	0.2094	0.2592	0.6236	0.9153
	R²	0.9983	0.9830	0.9842	0.9542
BPA
Langmuir	\({q}_{m}\)(mg g⁻¹)	68.0272	75.7576	60.6061	76.9231
	b (L mg⁻¹)	0.0162	0.0158	0.0098	0.0139
	R²	0.8658	0.8658	0.8416	0.8348
	R_L	0.0164	0.0158	0.0165	0.0164
Freundlich	K_F (mg g⁻¹) (L mg⁻¹)^1/n	1.2756	1.3677	0.6901	0.6148
	n	1.1898	1.1525	1.1457	1.2099
	1/n	0.8405	0.8677	0.8728	0.8265
	R²	0.9948	0.9892	0.9852	0.9874
Temkin	K_T (L mg⁻¹)	0.4930	0.4890	0.3384	0.3312
	b_T (kJ mol⁻¹)	306.5467	282.986	410.4659	534.0969
	R²	0.9017	0.9394	0.9133	0.9724
Dubinin–Radushkevich	\({q}_{m}\) (mg g⁻¹)	15.2646	17.542	13.2965	11.5791
	β (L mg⁻¹)	1.8928	1.774	3.4798	4.5764
	R²	0.7747	0.8018	0.8065	0.9178
	E	0.5140	0.5309	0.3791	0.3305
Halsey	N	− 1.1898	− 1.1525	− 1.1457	− 1.2099
	K_H	0.7486	0.6971	1.2027	1.2914
	R²	0.9948	0.9892	0.9852	0.9874

The significance of the bold numbers are to highlight the correlation coefficient, R² values obtained for each models. These values determine the selection of the model

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