Langmuir isotherm 398 INDEX

The qualitative reason is quite simple. Consider an adsorbent molecule the states of which are labeled by index j. The probability of finding an empty molecule in state j is Pj 0). Suppose the molecule has m binding sites, and the binding constant to the first site is k (j) when the molecule is in state j. If m = 1, then, as in Section 2.5, we shall obtain a Langmuir isotherm with binding constant A , which is simply an average the sum being over all the states of the molecule. If there... 

Besides having the capital property of being able to imitate any kinetics—see Eq. 61—Astarita s uniform kinetics are often patient of a mechanistic derivation. Thus, for what Astarita and Ocone call uniform generalized Langmuir isotherm kinetic mechanism (UGLIKM), we might take 6(x) dx to be the fraction of catalytic surface occupied by the species A(x) with index in... 

Solution On the basis of the reaction model (equations (10.81) and (10.82)), the impedance can be derived under the assumption that the adsorbate Mg obeys a Langmuir isotherm and that the rate constants of electrochemical reactions are exponentially dependent on potential (e.g., following Tafel s law). Each reaction with index i has a normalized rate constant K, corresponding to its rate constant hi by... 

---