By H. K. Henisch
Containing illustrations, labored examples, graphs and tables, this publication offers with periodic precipitation (also often called Liesegang Ring formation) by way of mathematical versions and their logical results, and is totally focused on microcomputer research and software program improvement. 3 targeted periodic precipitation mechanisms are incorporated: binary diffusion-reaction; solubility modulation, and aggressive particle progress. The booklet presents didactic illustrations of a useful investigational technique, within the kind of hypothetical experimentation through microcomputer. the advance of acceptable software program is defined and the ensuing courses can be found individually on disk. The software program (for IBM suitable microcomputers; five 1/4 and three half inch disks to be had) should be bought individually through, The Carnation Press, PO field one hundred and one, country university, PA 16804, united states
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Extra info for Periodic Precipitation. A Microcomputer Analysis of Transport and Reaction Processes in Diffusion Media, with Software Development
In the example shown, the [A] reagent is already 46 Periodic Precipitation available (the medium having been pre-charged with it). Reagent [B] diffuses towards the site from the right, and the rate at which it does so is certainly influenced by its diffusion constant D B. However, the arrival rate is also influenced by the consumption of [B] involved in the growth of deposits already formed, as well as the release of [B] by the (few) deposits re-dissolving. These processes, in turn, influence the pattern of concentration gradients, and thereby also the position of actual nucleation sites.
An infinite reservoir would correspond to RDC=0. After each pass (from X=l to L-l), we then re-set the reservoir concentrations. 2) This formulation takes note of the fact that [A] leaves its reservoir at a rate proportional to the concentration gradient at X=0. A>(0) is further diminished by the influx of [B], which is proportional to Bo(l)-B0(0), the last term being zero. In entirely similar ways, we can make allowance for the contamination of the two reservoirs by the waste product [H]. Moreover, the amounts of [A] and [B] seeping into opposite reagents will lead to the production of a certain amount of [H] there.
But it tells us nothing about how fast or slowly that equilibrium will be for any reason, more [AB] will approached. B(X)
Periodic Precipitation. A Microcomputer Analysis of Transport and Reaction Processes in Diffusion Media, with Software Development by H. K. Henisch