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. 2024 May 6;14(9):810. doi: 10.3390/nano14090810
CMC carboxymethyl chitosan
PAMAM poly(amidoamine)
Nomenclature
C the constant proportional to the extent of the boundary layer thickness (mg·g−1)
C 0 the initial concentrations of the metal ion (mg∙L−1)
C e the equilibrium concentrations of the metal ion (mg∙L−1),
E DR the mean free energy of adsorption
k 1 the rate constants of pseudo-first-order model (min−1),
k 2 the rate constants of pseudo-second-order model (g∙mg−1∙min−1)
k int the rate constants of intraparticle diffusion kinetics model (mg·g−1·min−0.5)
K d the distribution coefficient (mL∙g−1)
KdU(VI) the distribution coefficients of uranyl ion
KdM(x) the distribution coefficients of other ions
K F Freundlich constants, indicating adsorption intensity
K L the Langmuir adsorption equilibrium constant (L·mg−1)
m the amount of the sorbent (g)
n Freundlich constants, indicating adsorption capacity
q e the amount of adsorption at equilibrium (mg∙g−1)
q e(U) the adsorption capacity of uranium (mg·g−1)
q e(Total) the total amount of adsorption for all multi-ions (mg∙g−1).
q DR the theoretical adsorption capacity (mol·g−1)
q m the maximum or saturated amount of adsorption (mg∙g−1)
q t U(VI) adsorption capacity at t (mg·g−1)
R the ideal gas constant (8.314 kJ·mol−1 K−1)
R L the dimensionless constant separation factor
S U degree of selectivity of the adsorbent towards uranium
S U(VI)/M(x) the selectivity coefficient of uranyl ions relative to competing ions
S r the relative selectivity coefficient
t the adsorption time (min)
T the absolute temperature (K).
V the volume of the solution (L)
Greek letters
β the constant associated with the adsorption energy (mol2·kJ−2)
ε the Polanyi potential
ΔS° standard entropy (J·mol−1·K−1)
ΔH° standard enthalpy (kJ·mol−1)
ΔG° standard Gibbs free energy (kJ·mol−1)