AdIsMF (version 0.1.1)

FNLM: Freundlich Nonlinear Model

Description

This model will fit the adsorption data to the nonlinear form of the Freundlich equation and will give the estimates of the Freundlich parameters, namely "kf" and "1/n" while evaluating the performance efficiency of the nonlinear model of Freundlich through several error functions.

Usage

FNLM (ce, qe)

Value

• Freundlich Isotherm Nonlinear Model: Model summary

• correlation (ce, qe): Correlation between ce and qe

• kf: Freundlich constant

• 1/n: Freundlich exponent related to adsorption intensity

• AIC: Akaike information criterion

• AICc: Corrected Akaike information criterion

• BIC: Bayesian information criterion

• RMSE: Root Mean Squared Error

• MSE: Mean Squared Error

• MAE: Mean Absolute Error

• MAPE: Mean Absolute Percentage Error

• MPSD: Marquardt’s Percent Standard Deviation

• Chi.square: Chi-square value

Arguments

ce

Equilibrium concentration of the adsorbate in the solution

qe

Amount adsorbed

References

• Giles, C. H. (1973). The history and use of the Freundlich adsorption isotherm. Journal of the Society of Dyers and Colourists, 89(8), 287-291.

• Datta, S. P., Bhadoria, P. B. S., & Kar, S. (1998). Availability of extractable boron in some acid soils, West Bengal, India. Communications in soil science and plant analysis, 29(15-16), 2285-2306.

• Roy, A., Manjaiah, K. M., Datta, S. P., Rakshit, D., Barman, M., Ray, P., Golui, D., Raza, M. B., Tigga, P., Mondal, S., Vishwanath, Meena, S., & Meena, P. (2025). Effect of Low-Molecular-Weight Organic Acids and Silicon on Arsenic Adsorption and Desorption in a Paddy Soil of Bengal Delta Plain: Insights from Thermodynamics and Equilibrium Modeling. Water, Air, & Soil Pollution, 236(6), 344.

• Raza, M. B., Datta, S. P., Golui, D., Barman, M., Ray, P., Upadhyay, D., Mishra, R., Roy, A., & Dash, A. K. (2025). Enhancing soil arsenic immobilization with organic and inorganic amendments: Insights from sorption–desorption study. Environmental Monitoring and Assessment, 197(1), 76.

Examples

ce <- c(0.025, 0.04, 0.055, 0.099, 0.139, 0.402, 1.999, 11.336)
qe <- c(17.21, 35.42, 51.238, 72.659, 89.268, 182.21, 345.29, 634.231)
m.fit <- FNLM (ce, qe)