AdsorpR (version 0.1.0)

nonlinear_langmuir: Non-linear Langmuir Model

Description

The non-linear Langmuir isotherm model describes monolayer adsorption onto a surface with a finite number of identical sites. It assumes uniform adsorption energies and no interaction between adsorbed molecules.

The model is defined as:

$$Q = \frac{Q_{\max} \cdot K_L \cdot C_e}{1 + K_L \cdot C_e}$$

where \(Q\) is the amount adsorbed, \(C_e\) is the equilibrium concentration, \(Q_{\max}\) is the maximum adsorption capacity, and \(K_L\) is the Langmuir constant.

This function fits the model using non-linear least squares (nls) regression.

Usage

nonlinear_langmuir(Ce, Qe)

Value

A named list of Langmuir parameters and model details, including estimated parameters, model statistics, and a diagnostic plot.

Arguments

Ce

Numeric vector of equilibrium concentrations.

Qe

Numeric vector of amount adsorbed.

See Also

Other nonlinear models: nonlinear_bet(), nonlinear_freundlich(), nonlinear_temkin()

Examples

Ce <- c(1, 2, 4, 6, 8, 10)
Qe <- c(0.9, 1.6, 2.3, 2.7, 2.9, 3.0)
result <- nonlinear_langmuir(Ce, Qe)
print(result$`Langmuir Qmax (mg/g)`)
print(result$`Langmuir KL (L/mg)`)
print(result$AIC)
print(result$`Pseudo R2`)
print(result$Plot)