| Co | initial concentration of metal ions (mg/dm3) |
| Ce | concentration of metal ions at equilibrium (mg/dm3) |
| qe | sorption capacity at equilibrium (mg/g) |
| qt | sorption capacity at any time (mg/g) |
| Re | the percentage removal at equilibrium |
| qmax | maximum sorption capacity (mg/g) |
| KL | Langmuir constant (L/mg) |
| KF | Freundlich constant (mg1−(1/n)(dm3)1/ng−1) |
| n | heterogeneity factor |
| KT | the equilibrium binding constant corresponding to the maximum binding energy (dm3/g) |
| B | constant related to the heat of sorption (J/mol) |
| bt | Temkin isotherm constant |
| k1 | the pseudo-first order rate constant (1/min) |
| k2 | the pseudo-second order rate constant (g/(mg·min)) |
| kid | the intra-particle diffusion rate constant (mg/g·min0.5) |
| I | intercept of the line in Weber-Morris model |
| qe exp | experimental amount of metal adsorbed at equilibrium (mg/g) |
| qe cal | calculated amount of metal adsorbed at equilibrium (mg/g) |