Table 2.
Models → | Freundlich | Langmuir | Temkin | Redlich–Peterson | Sips | Toth | ||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Statistical metrics ↓ | L | NL | L | NL | L | NL | L | NL | L | NL | L | NL |
Parameters → |
qe: 20.65 bF: 0.472 |
KF: 20.27 bF: 0.433 |
KL: 10.48 bL: 0.159 |
KL: 10.42 bL: 0.161 |
BT: 1.412 KT: 2.33 |
BT: 1.370 KT: 2.43 |
KR: 1.813 aR: 0.220 α: 0.923 |
KR: 1.763 aR: 0.191 α: 0.964 |
Ks: 8.923 bs: 0.1592 ns: 0.814 |
Ks: 10.54 bs: 0.162 ns: 0.962 |
Kth: 10.35 bth: 0.159 nth: 0.986 |
Kth: 10.73 bth: 0.180 nth: 0.947 |
R2 | 0.972 | 0.981 | 0.993 | 0.995 | 0.989 | 0.994 | 0.982 | 0.989 | 0.978 | 0.986 | 0.983 | 0.989 |
SAE | 1.474 | 1.258 | 0.533 | 0.529 | 0.882 | 0.540 | 0.580 | 0.584 | 0.661 | 0.564 | 0.989 | 0.573 |
SSE | 0.458 | 0.366 | 0.097 | 0.095 | 0.264 | 0.084 | 0.104 | 0.094 | 0.178 | 0.096 | 0.247 | 0.096 |
ARE | 12.883 | 12.762 | 3.917 | 3.882 | 6.769 | 4.342 | 4.629 | 4.664 | 4.725 | 4.343 | 6.346 | 4.489 |
RMSE | 0.338 | 0.282 | 0.156 | 0.149 | 0.257 | 0.145 | 0.161 | 0.154 | 0.211 | 0.155 | 0.248 | 0.155 |
*Linear (L); non-linear (NL).
are qe values of experimental and predicted values respectively. p is the number of parameters; n is the number of experimental runs.
Units: Langmuir: KL (mg/g). bL (L/mg). Freundlich: KF (mg1-(1/n) L(1/n) g-1) and bF is dimensionless. Temkin: KT (L/mg). bT (J/mol). Redlich – Peterson: KR (L/g) and aR(L/mg) nP and nR is dimensionless. Sips: KS,(mg/g). bs (L/mg)n and ns is dimensionless. Toth: Kth (L/g). bth (mg/L)n and nth is dimensionless exponent.