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Linearising the Avrami Equation

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LindaMHowell

Materials
May 15, 2006
1
GB
I am trying to find the middle step in linearising the Avrami equation so that it can be plotted as a straight line and the parameters n and k determined.

I know that 1-X = exp(-kt^n)

where X is degree of crystallinity, k is the rate constant and n is the Avrami exponent.

I also know that you can plot ln(-ln(1-X)) against ln(t) to get a straight line in which the gradient is n and the y intercept is ln(k), but I don't understand how to get from the original equation to one of the form:

ln(-ln(1-X))=n.ln(t)-ln(k).

Any help would be greatly appreciated. I need to understand the middle step in order to apply the rules to another equation, but have found textbooks fairly useless.

Thank you,

Lin
 
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