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Table 2

Adsorption isotherm parameters for the adsorption of MG and RhB on S-Fe NCs

Isotherm modelsMG
RhB
293 K303 K313 K293 K303 K313 K
Langmuir 
qm,cal (mmol g−1) 4.09 ± 0.12 4.31 ± 0.15 4.73 ± 0.15 2.53 ± 0.11 2.88 ± 0.09 3.25 ± 0.08 
qm,exp (mmol g−1) 4.22 4.44 4.69 2.71 3.00 3.47 
KL (L mmol−1) 21.48 ± 3.41 23.62 ± 4.25 19.76 ± 2.91 16.89 ± 4.40 19.36 ± 3.00 22.49 ± 3.19 
R2 0.974 0.968 0.978 0.924 0.971 0.975 
SSE 0.323 0.450 0.371 0.287 0.149 0.177 
Freundlich 
KF 4.25 ± 0.19 4.56 ± 0.19 4.95 ± 0.22 2.50 ± 0.05 2.88 ± 0.09 3.30 ± 0.14 
nF 4.16 ± 0.52 4.18 ± 0.47 4.03 ± 0.46 4.15 ± 0.33 4.34 ± 0.49 4.45 ± 0.62 
R2 0.926 0.939 0.937 0.968 0.938 0.907 
SSE 0.908 0.862 1.058 0.122 0.320 0.659 
Koble-Corrigan 
A 31.91 ± 9.58 29.04 ± 6.89 33.07 ± 4.76 7.12 ± 2.23 18.67 ± 5.11 35.23 ± 14.42 
B 6.91 ± 2.47 5.73 ± 1.67 6.11 ± 1.07 1.87 ± 0.91 5.64 ± 1.87 10.12 ± 4.69 
n 0.7 ± 0.08 0.65 ± 0.06 0.68 ± 0.04 0.48 ± 0.08 0.67 ± 0.08 0.79 ± 0.12 
R2 0.989 0.993 0.997 0.986 0.990 0.982 
SSE 0.133 0.099 0.044 0.055 0.051 0.129 
Redlich-Peterson 
A 148.5 ± 27.7 206.9 ± 30.2 184.9 ± 28.4 123.7 ± 35.9 95.5 ± 13.2 103.3 ± 21.1 
B 35.58 ± 6.73 46.59 ± 6.87 38.42 ± 5.96 48.93 ± 14.50 32.96 ± 4.66 31.41 ± 6.57 
g 0.897 ± 0.024 0.879 ± 0.016 0.882 ± 0.018 0.832 ± 0.022 0.894 ± 0.017 0.924 ± 0.029 
R2 0.992 0.996 0.995 0.990 0.995 0.987 
SSE 0.101 0.061 0.077 0.037 0.025 0.094 
Temkin 
b 3.63 ± 0.15 3.64 ± 0.10 3.43 ± 0.10 5.87 ± 0.21 5.34 ± 0.20 4.91 ± 0.30 
KT (L g−1) 485.7 ± 94.6 590.7 ± 78.9 523.1 ± 70.9 384.5 ± 67.9 421.9 ± 76 482.8 ± 142.3 
R2 0.986 0.994 0.993 0.990 0.989 0.971 
SSE 0.170 0.090 0.119 0.039 0.056 0.203 
Dubinin-Radushkevich 
qm (mmol g−1) 4.09 ± 0.08 4.33 ± 0.08 4.69 ± 0.07 2.49 ± 0.08 2.86 ± 0.05 3.26 ± 0.07 
E (kJ mol−1) 6.45 ± 0.23 6.89 ± 0.24 6.86 ± 0.18 6.15 ± 0.42 6.48 ± 0.25 6.92 ± 0.28 
R2 0.984 0.985 0.992 0.941 0.980 0.978 
SSE 0.195 0.206 0.131 0.222 0.102 0.155 
Isotherm modelsMG
RhB
293 K303 K313 K293 K303 K313 K
Langmuir 
qm,cal (mmol g−1) 4.09 ± 0.12 4.31 ± 0.15 4.73 ± 0.15 2.53 ± 0.11 2.88 ± 0.09 3.25 ± 0.08 
qm,exp (mmol g−1) 4.22 4.44 4.69 2.71 3.00 3.47 
KL (L mmol−1) 21.48 ± 3.41 23.62 ± 4.25 19.76 ± 2.91 16.89 ± 4.40 19.36 ± 3.00 22.49 ± 3.19 
R2 0.974 0.968 0.978 0.924 0.971 0.975 
SSE 0.323 0.450 0.371 0.287 0.149 0.177 
Freundlich 
KF 4.25 ± 0.19 4.56 ± 0.19 4.95 ± 0.22 2.50 ± 0.05 2.88 ± 0.09 3.30 ± 0.14 
nF 4.16 ± 0.52 4.18 ± 0.47 4.03 ± 0.46 4.15 ± 0.33 4.34 ± 0.49 4.45 ± 0.62 
R2 0.926 0.939 0.937 0.968 0.938 0.907 
SSE 0.908 0.862 1.058 0.122 0.320 0.659 
Koble-Corrigan 
A 31.91 ± 9.58 29.04 ± 6.89 33.07 ± 4.76 7.12 ± 2.23 18.67 ± 5.11 35.23 ± 14.42 
B 6.91 ± 2.47 5.73 ± 1.67 6.11 ± 1.07 1.87 ± 0.91 5.64 ± 1.87 10.12 ± 4.69 
n 0.7 ± 0.08 0.65 ± 0.06 0.68 ± 0.04 0.48 ± 0.08 0.67 ± 0.08 0.79 ± 0.12 
R2 0.989 0.993 0.997 0.986 0.990 0.982 
SSE 0.133 0.099 0.044 0.055 0.051 0.129 
Redlich-Peterson 
A 148.5 ± 27.7 206.9 ± 30.2 184.9 ± 28.4 123.7 ± 35.9 95.5 ± 13.2 103.3 ± 21.1 
B 35.58 ± 6.73 46.59 ± 6.87 38.42 ± 5.96 48.93 ± 14.50 32.96 ± 4.66 31.41 ± 6.57 
g 0.897 ± 0.024 0.879 ± 0.016 0.882 ± 0.018 0.832 ± 0.022 0.894 ± 0.017 0.924 ± 0.029 
R2 0.992 0.996 0.995 0.990 0.995 0.987 
SSE 0.101 0.061 0.077 0.037 0.025 0.094 
Temkin 
b 3.63 ± 0.15 3.64 ± 0.10 3.43 ± 0.10 5.87 ± 0.21 5.34 ± 0.20 4.91 ± 0.30 
KT (L g−1) 485.7 ± 94.6 590.7 ± 78.9 523.1 ± 70.9 384.5 ± 67.9 421.9 ± 76 482.8 ± 142.3 
R2 0.986 0.994 0.993 0.990 0.989 0.971 
SSE 0.170 0.090 0.119 0.039 0.056 0.203 
Dubinin-Radushkevich 
qm (mmol g−1) 4.09 ± 0.08 4.33 ± 0.08 4.69 ± 0.07 2.49 ± 0.08 2.86 ± 0.05 3.26 ± 0.07 
E (kJ mol−1) 6.45 ± 0.23 6.89 ± 0.24 6.86 ± 0.18 6.15 ± 0.42 6.48 ± 0.25 6.92 ± 0.28 
R2 0.984 0.985 0.992 0.941 0.980 0.978 
SSE 0.195 0.206 0.131 0.222 0.102 0.155 
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