Criticisms of the inverse Laplace transform method

the product A Q(T) is a Laplace transform of p E)k E), but with a shift of E in the variable of integration extracting the inverse we have, by analogy with equation (4.3) 

Equation (4.9) is only defined for values of the energy , and k(E) is zero for all energies below , thus, equation (4.2) becomes 

The major cause for concern has been that equation (4.9) is only true if the rate law is strict Arrhenius, i.e. = all the way from 

3 Note that the derivation of equation (4.9) is equally valid if the molecular states are considered to be discrete [78.Y2], giving 

What if the rate law is non-Arrhenius If the infinite pressure rate can be expressed with confidence in some other simple form, e.g. the modified Arrhenius equation 

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Criticisms of the inverse Laplace transform method to the integral for E[Pg.37]

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