Estimating Ion Pairs Produced by 5MeV alpha in UF6

atomicpedals
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Hello,

I'm attempting to work out the number of ion pairs produced by a 5MeV alpha particle in UF6 (in each of the solid, liquid, and gas states). Using the technique from my old radiation physics book (Turner 3rd ed) I should simply apply the Bethe formula

-\frac{dE}{dx}=\frac{4\pi k^{2}z^{2}e^{4}n}{mc^{2}\beta^{2}}[ln\frac{2mc^{2}\beta^{2}}{I(1-\beta^{2}}-\beta^{2}]

Then divide by the ion production energy to arrive at ion-pairs per unit distance. However, don't I need to account for the density of the target material somewhere in the Bethe formula (and thus the differences between -dE/dx in solid, liquid, or gaseous UF6)?

Thanks for any pointers on where I'm going astray!
 
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I think I found what I was looking for in a paper by J. F. Ziegler.
 
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