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The Freundlich isotherm has two parameters, while Langmuir's equations has only one: as a result, it often fits the data on rough surfaces better than the Langmuir isotherm. However, the Freundlich equation is not unique; consequently, a good fit of the data points does not offer sufficient proof that the surface is heterogeneous.
The Freundlich equation or Freundlich adsorption isotherm, an adsorption isotherm, is an empirical relationship between the quantity of a gas adsorbed into a solid surface and the gas pressure. The same relationship is also applicable for the concentration of a solute adsorbed onto the surface of a solid and the concentration of the solute in ...
The Langmuir isotherm is given by: [CS] = (K eq S tot [C])/(1 + K eq [C]), where S tot is the total binding molecules on the beads. The Freundlich isotherm is given by: [CS] = K eq [C] 1/n. The Freundlich isotherm is used when the column can bind to many different samples in the solution that needs to be purified.
While the Langmuir model assumes that the energy of adsorption remains constant with surface occupancy, the Freundlich equation is derived with the assumption that the heat of adsorption continually decrease as the binding sites are occupied. [16] The choice of the model based on best fitting of the data is a common misconception. [15]
The concept of the theory is an extension of the Langmuir theory, which is a theory for monolayer molecular adsorption, to multilayer adsorption with the following hypotheses: gas molecules physically adsorb on a solid in layers infinitely; gas molecules only interact with adjacent layers; and; the Langmuir theory can be applied to each layer.
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