Skip to main content
. 2021 Jun 3;11:11719. doi: 10.1038/s41598-021-91178-3

Table 2.

Isotherm models for adsorption of diazinon onto pumice*.

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).

qe,expi,qe,predi 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.