Macroscopic proton coefficient analysis

To what extent are assumptions of a constant x valid Table II shows the observed macroscopic proton coefficients for cation and anion adsorption in a variety of heterogeneous systems. The coefficients were determined by Kurbatov plots ( 6) or by isotherm analysis ( 7), unless otherwise indicated. In all cases, x is not an integer. 

The macroscopic proton coefficient may be determined by graphical analysis of observed system variables according to two different procedures fractional adsorption edge linearization (6) and isotherm analysis (7 ). The procedures for calculating the macroscopic proton coefficients according to these two methods are discussed in detail below, as are their relative advantages and disadvantages for use in semi-empirical descriptions of adsorption. 

THE MATHEMATICAL DEVELOPMENT OF ISOTHERM ANALYSIS FOR THE MACROSCOPIC PROTON COEFFICIENT, Xp... 

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