Dawson’s integral

This may be reduced to an elementary function and error functions for b > o and an elementary function and Dawson s Integral for b < o (13,15). Calculations are easily performed since... 

We note that both the effective relaxation times and the zero-frequency susceptibilities may be written in terms of Dawson s integral. The detailed expressions are given in Ref. 55. 

A convenient way to see how S depends on T is to choose a value for m, and use mathematical tables or computer software to find S from the expression containing Dawson s integral. Knowing m and S allows (2kgTvV(3A), a quantity proportional to T, to be found fiom the definition of m. A graph of S versus T/T, where T... 

The integral in this equation is the so-called Dawson s integral, the values of which have been tabulated in the literature. ... 

In multiple nucleation conditions, the current density may be expressed as a convolution of the growth current of individual nuclei and their birth rate on the surface. In the very initial stages, nuclei are small in both size and number, and they grow independently of each other. The current transient is then given by i(t) = 7tzF(2Dc)y (Mt/p)y No s/At) [9], where (- /At) is the Dawson integral,... 

To evaluate f, one can choose a value for m, find the value of Dawson integral for that value m, then calculate S from this, and finally find F in the units of Nk T. 

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