期刊
COLLOID AND INTERFACE SCIENCE COMMUNICATIONS
卷 45, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.colcom.2021.100519
关键词
Adsorption isotherm; Misuse; Orthogonal distance regression; Implicit equation; Sigmoid curve
This study suggests that the practice of transforming the three-parameter Frumkin isotherm into the two-parameter form for linear parameter estimation should be avoided due to significant differences in capacity values. Instead, all three parameters should be estimated using nonlinear regression for better accuracy and validity.
The Frumkin or Fowler-Guggenheim isotherm, which has three fitting parameters, is often converted to a linear form with two fitting parameters to facilitate parameter estimation by linear regression. This conversion is made possible by way of replacing the unknown capacity parameter of the Frumkin isotherm with a surrogate value. The capacity parameters of certain simple isotherms (e.g., Dubinin-Radushkevich) are often used as surrogates. However, such surrogates have never been evaluated for validity or accuracy. In this paper, the three-parameter Frumkin isotherm was fit to previously published isotherm data to identify all three unknown parameters, including the capacity parameter. In the cases examined, the fitted capacity values were found to differ rather significantly from the surrogate capacity values used in the two-parameter Frumkin isotherm. The dubious practice of transforming the three-parameter Frumkin isotherm into the two-parameter Frumkin isotherm for linear estimation of parameters should be discarded in favor of estimating all three parameters by nonlinear regression.
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