This can be rewritten in the following form,
where  can be written as,
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(5.8) |
The first half of the graph(Figure : 5.4) with increasing slope is the thermodynamic curve  and the second half with decreasing slope is due to diffusion  called kinetic curve. Thus when one quenches the liquid very rapidly, diffusion rate becomes high and the rate of formation of nucleus (crystal) is suppressed. Glass is formed with this technique. Equation derived for  can also be used for supersaturated solutions where  can be written as:
where  and  is the actual activity and equilibrium activity of solute respectively. For an ideal solution activity of the solute is same as that of its concentration. Thus we can write ,
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(5.10) |
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