Elovich equation induced heterogeneity

Gillis-D Hamers19 used the integrated form of the Elovich equation to evaluate the activation energy and the induced heterogeneity. 

Although the obedience of the rate of adsorption to the Elovich equation is maintained, both for mobile and immobile layers, and for any functional relationship between — AH and E, when the heterogeneity is induced on a uniform surface, this is not so for the rate of desorption. 

For an immobile adsorbate, the Elovich equation is obeyed for any variation of —AH with coverage when heterogeneity comprises both site and induced effects. For a mobile adsorbate, the Elovich equation is applicable when —AH decreases linearly with increase of patch number and also with increase of coverage on each patch, i.e., [cf. Eq. (47)]. 

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