Mampel

Mampel extended the treatment to include due allowance for three-dimensional growth of product into the particles by considering the latter to consist of a series of concentric thin spherical shells. The fractional reaction within each such shell was calculated and the total reaction found by integration to include all such shells. This analysis, which includes the effects of overlap, ingestion and also particle size of the reactant, is not amenable to general solution, but the following special cases are of interest. 

The several distinct derivations of eqn. (6) originally provided [30] by Avrami [436], by Erofe ev [437,448] and by Mampel [447] and developed by others, is a consequence of the importance to be attached to this expression for the kinetic analysis of solid phase reactions. Written in general form... 

X= 2) or (P = 0, X = 3) and the distinction between these possibilities is most satisfactorily based upon independent evidence, such as microscopic observations. The growth of compact nuclei inevitably results in the consumption of surfaces and when these outer faces, the sites of nucleation, have been eliminated, j3 necessarily is zero this may result in a diminution of n. The continued inward advance of the reaction interface at high a results in a situation comparable with the contracting volume reaction (discussed below) reference to this similarity was also made in consideration of the Mampel approach discussed above. Shapes of the deceleratory region of a time curves for nucleation and growth reactions and the contracting volume rate process are closely similar [409]. 

In Mampel s treatment [447] of nucleation and growth reactions, eqn. (7, n = 3) was found to be applicable to intermediate ranges of a, sometimes preceded by power law obedience and followed by a period of first-order behaviour. Transitions from obedience of one kinetic relation to another have been reported in the literature [409,458,459]. Equation (7, n = 3) is close to zero order in the early stages but becomes more strongly deceleratory when a > 0.5. 

Mampel J, J Ruff, F Junker, AM Cook (1999) The oxygenase component of the 2-aminobenzenesulfonate dioxygenase system from Alcaligenes sp. strain 0-1. Microbiology (UK) 145 3255-3264. 

Mampel.10 Both Jacobs and Tompkins and Mampel assume the rate of nuclei formation to be first order,... 

Usually, n > 3. When nuclei start to overlap, the extent of reaction depends on time via the Avrami—Erofeev—Mampel expression... 

Iglesias R, FernSndez JA, Mampel T, ObregPn MJ, lodothyronine 5 deiodinase activity in brown adipose tissue during development, Biochim Biophys Acta 923 233 (1987)... 

Mampel T, Buescher IM, Meurer G, Eck I. Coping with complexity in metabohc engineering. Trends... 

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