This model will fit the adsorption data to the linear form of the Langmuir equation and will give the estimates of the Langmuir parameters, namely "b" and "k" while evaluating the performance efficiency of the linear model of Langmuir through several error functions.
LLM(ce, qe)Langmuir Isotherm Linear Model: Model summary
correlation (ce, qe): Correlation between ce and qe
b: Adsorption maxima
k: Langmuir adsorption constant related to bonding energy
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
Chi.square: Chi-square value
Equilibrium concentration of the adsorbate in the solution
Amount adsorbed
Langmuir, I. (1918). The adsorption of gases on plane surfaces of glass, mica and platinum. Journal of the American Chemical society, 40(9), 1361-1403.
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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.
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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 <- LLM (ce, qe)
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