Table 2 Isotherm models for adsorption of diazinon onto pumice*.

From: Process optimization and enhancement of pesticide adsorption by porous adsorbents by regression analysis and parametric modelling

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

  1. *Linear (L); non-linear (NL).
  2. \(q_{e,exp}^{i} ,q_{e, pred}^{i}\) are qe values of experimental and predicted values respectively. p is the number of parameters; n is the number of experimental runs.
  3. 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.