Extracting Rate Constants by Semilogarithm Plot

4 Extracting Rate Constant Distributions by Numerical Inverse Laplace Transform 

The nonlinear curve-fitting process described previously (Section 7.3.2) needs the user to select an appropriate model, which is often arbitrary. The semilogarithm method also needs the user to divide the points into arbitrary linear sections. As a result, the obtained rate constants by different methods often do not match one another. A more objective method for finding the distribution of rate constants is needed. 

Equation 7.5, when written in an integral form to represent the remaining unexchanged hydrogen levels H, becomes Equation 7.10  

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